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

TRS termination of:
[1] active(zeros) -> mark(cons(0,zeros))
[2] active(U101(tt,V1,V2)) -> mark(U102(isNatKind(V1),V1,V2))
[3] active(U102(tt,V1,V2)) -> mark(U103(isNatIListKind(V2),V1,V2))
[4] active(U103(tt,V1,V2)) -> mark(U104(isNatIListKind(V2),V1,V2))
[5] active(U104(tt,V1,V2)) -> mark(U105(isNat(V1),V2))
[6] active(U105(tt,V2)) -> mark(U106(isNatIList(V2)))
[7] active(U106(tt)) -> mark(tt)
[8] active(U11(tt,V1)) -> mark(U12(isNatIListKind(V1),V1))
[9] active(U111(tt,L,N)) -> mark(U112(isNatIListKind(L),L,N))
[10] active(U112(tt,L,N)) -> mark(U113(isNat(N),L,N))
[11] active(U113(tt,L,N)) -> mark(U114(isNatKind(N),L))
[12] active(U114(tt,L)) -> mark(s(length(L)))
[13] active(U12(tt,V1)) -> mark(U13(isNatList(V1)))
[14] active(U121(tt,IL)) -> mark(U122(isNatIListKind(IL)))
[15] active(U122(tt)) -> mark(nil)
[16] active(U13(tt)) -> mark(tt)
[17] active(U131(tt,IL,M,N)) -> mark(U132(isNatIListKind(IL),IL,M,N))
[18] active(U132(tt,IL,M,N)) -> mark(U133(isNat(M),IL,M,N))
[19] active(U133(tt,IL,M,N)) -> mark(U134(isNatKind(M),IL,M,N))
[20] active(U134(tt,IL,M,N)) -> mark(U135(isNat(N),IL,M,N))
[21] active(U135(tt,IL,M,N)) -> mark(U136(isNatKind(N),IL,M,N))
[22] active(U136(tt,IL,M,N)) -> mark(cons(N,take(M,IL)))
[23] active(U21(tt,V1)) -> mark(U22(isNatKind(V1),V1))
[24] active(U22(tt,V1)) -> mark(U23(isNat(V1)))
[25] active(U23(tt)) -> mark(tt)
[26] active(U31(tt,V)) -> mark(U32(isNatIListKind(V),V))
[27] active(U32(tt,V)) -> mark(U33(isNatList(V)))
[28] active(U33(tt)) -> mark(tt)
[29] active(U41(tt,V1,V2)) -> mark(U42(isNatKind(V1),V1,V2))
[30] active(U42(tt,V1,V2)) -> mark(U43(isNatIListKind(V2),V1,V2))
[31] active(U43(tt,V1,V2)) -> mark(U44(isNatIListKind(V2),V1,V2))
[32] active(U44(tt,V1,V2)) -> mark(U45(isNat(V1),V2))
[33] active(U45(tt,V2)) -> mark(U46(isNatIList(V2)))
[34] active(U46(tt)) -> mark(tt)
[35] active(U51(tt,V2)) -> mark(U52(isNatIListKind(V2)))
[36] active(U52(tt)) -> mark(tt)
[37] active(U61(tt,V2)) -> mark(U62(isNatIListKind(V2)))
[38] active(U62(tt)) -> mark(tt)
[39] active(U71(tt)) -> mark(tt)
[40] active(U81(tt)) -> mark(tt)
[41] active(U91(tt,V1,V2)) -> mark(U92(isNatKind(V1),V1,V2))
[42] active(U92(tt,V1,V2)) -> mark(U93(isNatIListKind(V2),V1,V2))
[43] active(U93(tt,V1,V2)) -> mark(U94(isNatIListKind(V2),V1,V2))
[44] active(U94(tt,V1,V2)) -> mark(U95(isNat(V1),V2))
[45] active(U95(tt,V2)) -> mark(U96(isNatList(V2)))
[46] active(U96(tt)) -> mark(tt)
[47] active(isNat(0)) -> mark(tt)
[48] active(isNat(length(V1))) -> mark(U11(isNatIListKind(V1),V1))
[49] active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1))
[50] active(isNatIList(V)) -> mark(U31(isNatIListKind(V),V))
[51] active(isNatIList(zeros)) -> mark(tt)
[52] active(isNatIList(cons(V1,V2))) -> mark(U41(isNatKind(V1),V1,V2))
[53] active(isNatIListKind(nil)) -> mark(tt)
[54] active(isNatIListKind(zeros)) -> mark(tt)
[55] active(isNatIListKind(cons(V1,V2))) -> mark(U51(isNatKind(V1),V2))
[56] active(isNatIListKind(take(V1,V2))) -> mark(U61(isNatKind(V1),V2))
[57] active(isNatKind(0)) -> mark(tt)
[58] active(isNatKind(length(V1))) -> mark(U71(isNatIListKind(V1)))
[59] active(isNatKind(s(V1))) -> mark(U81(isNatKind(V1)))
[60] active(isNatList(nil)) -> mark(tt)
[61] active(isNatList(cons(V1,V2))) -> mark(U91(isNatKind(V1),V1,V2))
[62] active(isNatList(take(V1,V2))) -> mark(U101(isNatKind(V1),V1,V2))
[63] active(length(nil)) -> mark(0)
[64] active(length(cons(N,L))) -> mark(U111(isNatList(L),L,N))
[65] active(take(0,IL)) -> mark(U121(isNatIList(IL),IL))
[66] active(take(s(M),cons(N,IL))) -> mark(U131(isNatIList(IL),IL,M,N))
[67] mark(zeros) -> active(zeros)
[68] mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
[69] mark(0) -> active(0)
[70] mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
[71] mark(tt) -> active(tt)
[72] mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
[73] mark(isNatKind(X)) -> active(isNatKind(X))
[74] mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
[75] mark(isNatIListKind(X)) -> active(isNatIListKind(X))
[76] mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
[77] mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
[78] mark(isNat(X)) -> active(isNat(X))
[79] mark(U106(X)) -> active(U106(mark(X)))
[80] mark(isNatIList(X)) -> active(isNatIList(X))
[81] mark(U11(X1,X2)) -> active(U11(mark(X1),X2))
[82] mark(U12(X1,X2)) -> active(U12(mark(X1),X2))
[83] mark(U111(X1,X2,X3)) -> active(U111(mark(X1),X2,X3))
[84] mark(U112(X1,X2,X3)) -> active(U112(mark(X1),X2,X3))
[85] mark(U113(X1,X2,X3)) -> active(U113(mark(X1),X2,X3))
[86] mark(U114(X1,X2)) -> active(U114(mark(X1),X2))
[87] mark(s(X)) -> active(s(mark(X)))
[88] mark(length(X)) -> active(length(mark(X)))
[89] mark(U13(X)) -> active(U13(mark(X)))
[90] mark(isNatList(X)) -> active(isNatList(X))
[91] mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
[92] mark(U122(X)) -> active(U122(mark(X)))
[93] mark(nil) -> active(nil)
[94] mark(U131(X1,X2,X3,X4)) -> active(U131(mark(X1),X2,X3,X4))
[95] mark(U132(X1,X2,X3,X4)) -> active(U132(mark(X1),X2,X3,X4))
[96] mark(U133(X1,X2,X3,X4)) -> active(U133(mark(X1),X2,X3,X4))
[97] mark(U134(X1,X2,X3,X4)) -> active(U134(mark(X1),X2,X3,X4))
[98] mark(U135(X1,X2,X3,X4)) -> active(U135(mark(X1),X2,X3,X4))
[99] mark(U136(X1,X2,X3,X4)) -> active(U136(mark(X1),X2,X3,X4))
[100] mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
[101] mark(U21(X1,X2)) -> active(U21(mark(X1),X2))
[102] mark(U22(X1,X2)) -> active(U22(mark(X1),X2))
[103] mark(U23(X)) -> active(U23(mark(X)))
[104] mark(U31(X1,X2)) -> active(U31(mark(X1),X2))
[105] mark(U32(X1,X2)) -> active(U32(mark(X1),X2))
[106] mark(U33(X)) -> active(U33(mark(X)))
[107] mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
[108] mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
[109] mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
[110] mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
[111] mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
[112] mark(U46(X)) -> active(U46(mark(X)))
[113] mark(U51(X1,X2)) -> active(U51(mark(X1),X2))
[114] mark(U52(X)) -> active(U52(mark(X)))
[115] mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
[116] mark(U62(X)) -> active(U62(mark(X)))
[117] mark(U71(X)) -> active(U71(mark(X)))
[118] mark(U81(X)) -> active(U81(mark(X)))
[119] mark(U91(X1,X2,X3)) -> active(U91(mark(X1),X2,X3))
[120] mark(U92(X1,X2,X3)) -> active(U92(mark(X1),X2,X3))
[121] mark(U93(X1,X2,X3)) -> active(U93(mark(X1),X2,X3))
[122] mark(U94(X1,X2,X3)) -> active(U94(mark(X1),X2,X3))
[123] mark(U95(X1,X2)) -> active(U95(mark(X1),X2))
[124] mark(U96(X)) -> active(U96(mark(X)))
[125] cons(mark(X1),X2) -> cons(X1,X2)
[126] cons(X1,mark(X2)) -> cons(X1,X2)
[127] cons(active(X1),X2) -> cons(X1,X2)
[128] cons(X1,active(X2)) -> cons(X1,X2)
[129] U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
[130] U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
[131] U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
[132] U101(active(X1),X2,X3) -> U101(X1,X2,X3)
[133] U101(X1,active(X2),X3) -> U101(X1,X2,X3)
[134] U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
[135] U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
[136] U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
[137] U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
[138] U102(active(X1),X2,X3) -> U102(X1,X2,X3)
[139] U102(X1,active(X2),X3) -> U102(X1,X2,X3)
[140] U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
[141] isNatKind(mark(X)) -> isNatKind(X)
[142] isNatKind(active(X)) -> isNatKind(X)
[143] U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
[144] U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
[145] U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
[146] U103(active(X1),X2,X3) -> U103(X1,X2,X3)
[147] U103(X1,active(X2),X3) -> U103(X1,X2,X3)
[148] U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
[149] isNatIListKind(mark(X)) -> isNatIListKind(X)
[150] isNatIListKind(active(X)) -> isNatIListKind(X)
[151] U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
[152] U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
[153] U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
[154] U104(active(X1),X2,X3) -> U104(X1,X2,X3)
[155] U104(X1,active(X2),X3) -> U104(X1,X2,X3)
[156] U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
[157] U105(mark(X1),X2) -> U105(X1,X2)
[158] U105(X1,mark(X2)) -> U105(X1,X2)
[159] U105(active(X1),X2) -> U105(X1,X2)
[160] U105(X1,active(X2)) -> U105(X1,X2)
[161] isNat(mark(X)) -> isNat(X)
[162] isNat(active(X)) -> isNat(X)
[163] U106(mark(X)) -> U106(X)
[164] U106(active(X)) -> U106(X)
[165] isNatIList(mark(X)) -> isNatIList(X)
[166] isNatIList(active(X)) -> isNatIList(X)
[167] U11(mark(X1),X2) -> U11(X1,X2)
[168] U11(X1,mark(X2)) -> U11(X1,X2)
[169] U11(active(X1),X2) -> U11(X1,X2)
[170] U11(X1,active(X2)) -> U11(X1,X2)
[171] U12(mark(X1),X2) -> U12(X1,X2)
[172] U12(X1,mark(X2)) -> U12(X1,X2)
[173] U12(active(X1),X2) -> U12(X1,X2)
[174] U12(X1,active(X2)) -> U12(X1,X2)
[175] U111(mark(X1),X2,X3) -> U111(X1,X2,X3)
[176] U111(X1,mark(X2),X3) -> U111(X1,X2,X3)
[177] U111(X1,X2,mark(X3)) -> U111(X1,X2,X3)
[178] U111(active(X1),X2,X3) -> U111(X1,X2,X3)
[179] U111(X1,active(X2),X3) -> U111(X1,X2,X3)
[180] U111(X1,X2,active(X3)) -> U111(X1,X2,X3)
[181] U112(mark(X1),X2,X3) -> U112(X1,X2,X3)
[182] U112(X1,mark(X2),X3) -> U112(X1,X2,X3)
[183] U112(X1,X2,mark(X3)) -> U112(X1,X2,X3)
[184] U112(active(X1),X2,X3) -> U112(X1,X2,X3)
[185] U112(X1,active(X2),X3) -> U112(X1,X2,X3)
[186] U112(X1,X2,active(X3)) -> U112(X1,X2,X3)
[187] U113(mark(X1),X2,X3) -> U113(X1,X2,X3)
[188] U113(X1,mark(X2),X3) -> U113(X1,X2,X3)
[189] U113(X1,X2,mark(X3)) -> U113(X1,X2,X3)
[190] U113(active(X1),X2,X3) -> U113(X1,X2,X3)
[191] U113(X1,active(X2),X3) -> U113(X1,X2,X3)
[192] U113(X1,X2,active(X3)) -> U113(X1,X2,X3)
[193] U114(mark(X1),X2) -> U114(X1,X2)
[194] U114(X1,mark(X2)) -> U114(X1,X2)
[195] U114(active(X1),X2) -> U114(X1,X2)
[196] U114(X1,active(X2)) -> U114(X1,X2)
[197] s(mark(X)) -> s(X)
[198] s(active(X)) -> s(X)
[199] length(mark(X)) -> length(X)
[200] length(active(X)) -> length(X)
[201] U13(mark(X)) -> U13(X)
[202] U13(active(X)) -> U13(X)
[203] isNatList(mark(X)) -> isNatList(X)
[204] isNatList(active(X)) -> isNatList(X)
[205] U121(mark(X1),X2) -> U121(X1,X2)
[206] U121(X1,mark(X2)) -> U121(X1,X2)
[207] U121(active(X1),X2) -> U121(X1,X2)
[208] U121(X1,active(X2)) -> U121(X1,X2)
[209] U122(mark(X)) -> U122(X)
[210] U122(active(X)) -> U122(X)
[211] U131(mark(X1),X2,X3,X4) -> U131(X1,X2,X3,X4)
[212] U131(X1,mark(X2),X3,X4) -> U131(X1,X2,X3,X4)
[213] U131(X1,X2,mark(X3),X4) -> U131(X1,X2,X3,X4)
[214] U131(X1,X2,X3,mark(X4)) -> U131(X1,X2,X3,X4)
[215] U131(active(X1),X2,X3,X4) -> U131(X1,X2,X3,X4)
[216] U131(X1,active(X2),X3,X4) -> U131(X1,X2,X3,X4)
[217] U131(X1,X2,active(X3),X4) -> U131(X1,X2,X3,X4)
[218] U131(X1,X2,X3,active(X4)) -> U131(X1,X2,X3,X4)
[219] U132(mark(X1),X2,X3,X4) -> U132(X1,X2,X3,X4)
[220] U132(X1,mark(X2),X3,X4) -> U132(X1,X2,X3,X4)
[221] U132(X1,X2,mark(X3),X4) -> U132(X1,X2,X3,X4)
[222] U132(X1,X2,X3,mark(X4)) -> U132(X1,X2,X3,X4)
[223] U132(active(X1),X2,X3,X4) -> U132(X1,X2,X3,X4)
[224] U132(X1,active(X2),X3,X4) -> U132(X1,X2,X3,X4)
[225] U132(X1,X2,active(X3),X4) -> U132(X1,X2,X3,X4)
[226] U132(X1,X2,X3,active(X4)) -> U132(X1,X2,X3,X4)
[227] U133(mark(X1),X2,X3,X4) -> U133(X1,X2,X3,X4)
[228] U133(X1,mark(X2),X3,X4) -> U133(X1,X2,X3,X4)
[229] U133(X1,X2,mark(X3),X4) -> U133(X1,X2,X3,X4)
[230] U133(X1,X2,X3,mark(X4)) -> U133(X1,X2,X3,X4)
[231] U133(active(X1),X2,X3,X4) -> U133(X1,X2,X3,X4)
[232] U133(X1,active(X2),X3,X4) -> U133(X1,X2,X3,X4)
[233] U133(X1,X2,active(X3),X4) -> U133(X1,X2,X3,X4)
[234] U133(X1,X2,X3,active(X4)) -> U133(X1,X2,X3,X4)
[235] U134(mark(X1),X2,X3,X4) -> U134(X1,X2,X3,X4)
[236] U134(X1,mark(X2),X3,X4) -> U134(X1,X2,X3,X4)
[237] U134(X1,X2,mark(X3),X4) -> U134(X1,X2,X3,X4)
[238] U134(X1,X2,X3,mark(X4)) -> U134(X1,X2,X3,X4)
[239] U134(active(X1),X2,X3,X4) -> U134(X1,X2,X3,X4)
[240] U134(X1,active(X2),X3,X4) -> U134(X1,X2,X3,X4)
[241] U134(X1,X2,active(X3),X4) -> U134(X1,X2,X3,X4)
[242] U134(X1,X2,X3,active(X4)) -> U134(X1,X2,X3,X4)
[243] U135(mark(X1),X2,X3,X4) -> U135(X1,X2,X3,X4)
[244] U135(X1,mark(X2),X3,X4) -> U135(X1,X2,X3,X4)
[245] U135(X1,X2,mark(X3),X4) -> U135(X1,X2,X3,X4)
[246] U135(X1,X2,X3,mark(X4)) -> U135(X1,X2,X3,X4)
[247] U135(active(X1),X2,X3,X4) -> U135(X1,X2,X3,X4)
[248] U135(X1,active(X2),X3,X4) -> U135(X1,X2,X3,X4)
[249] U135(X1,X2,active(X3),X4) -> U135(X1,X2,X3,X4)
[250] U135(X1,X2,X3,active(X4)) -> U135(X1,X2,X3,X4)
[251] U136(mark(X1),X2,X3,X4) -> U136(X1,X2,X3,X4)
[252] U136(X1,mark(X2),X3,X4) -> U136(X1,X2,X3,X4)
[253] U136(X1,X2,mark(X3),X4) -> U136(X1,X2,X3,X4)
[254] U136(X1,X2,X3,mark(X4)) -> U136(X1,X2,X3,X4)
[255] U136(active(X1),X2,X3,X4) -> U136(X1,X2,X3,X4)
[256] U136(X1,active(X2),X3,X4) -> U136(X1,X2,X3,X4)
[257] U136(X1,X2,active(X3),X4) -> U136(X1,X2,X3,X4)
[258] U136(X1,X2,X3,active(X4)) -> U136(X1,X2,X3,X4)
[259] take(mark(X1),X2) -> take(X1,X2)
[260] take(X1,mark(X2)) -> take(X1,X2)
[261] take(active(X1),X2) -> take(X1,X2)
[262] take(X1,active(X2)) -> take(X1,X2)
[263] U21(mark(X1),X2) -> U21(X1,X2)
[264] U21(X1,mark(X2)) -> U21(X1,X2)
[265] U21(active(X1),X2) -> U21(X1,X2)
[266] U21(X1,active(X2)) -> U21(X1,X2)
[267] U22(mark(X1),X2) -> U22(X1,X2)
[268] U22(X1,mark(X2)) -> U22(X1,X2)
[269] U22(active(X1),X2) -> U22(X1,X2)
[270] U22(X1,active(X2)) -> U22(X1,X2)
[271] U23(mark(X)) -> U23(X)
[272] U23(active(X)) -> U23(X)
[273] U31(mark(X1),X2) -> U31(X1,X2)
[274] U31(X1,mark(X2)) -> U31(X1,X2)
[275] U31(active(X1),X2) -> U31(X1,X2)
[276] U31(X1,active(X2)) -> U31(X1,X2)
[277] U32(mark(X1),X2) -> U32(X1,X2)
[278] U32(X1,mark(X2)) -> U32(X1,X2)
[279] U32(active(X1),X2) -> U32(X1,X2)
[280] U32(X1,active(X2)) -> U32(X1,X2)
[281] U33(mark(X)) -> U33(X)
[282] U33(active(X)) -> U33(X)
[283] U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
[284] U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
[285] U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
[286] U41(active(X1),X2,X3) -> U41(X1,X2,X3)
[287] U41(X1,active(X2),X3) -> U41(X1,X2,X3)
[288] U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
[289] U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
[290] U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
[291] U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
[292] U42(active(X1),X2,X3) -> U42(X1,X2,X3)
[293] U42(X1,active(X2),X3) -> U42(X1,X2,X3)
[294] U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
[295] U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
[296] U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
[297] U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
[298] U43(active(X1),X2,X3) -> U43(X1,X2,X3)
[299] U43(X1,active(X2),X3) -> U43(X1,X2,X3)
[300] U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
[301] U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
[302] U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
[303] U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
[304] U44(active(X1),X2,X3) -> U44(X1,X2,X3)
[305] U44(X1,active(X2),X3) -> U44(X1,X2,X3)
[306] U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
[307] U45(mark(X1),X2) -> U45(X1,X2)
[308] U45(X1,mark(X2)) -> U45(X1,X2)
[309] U45(active(X1),X2) -> U45(X1,X2)
[310] U45(X1,active(X2)) -> U45(X1,X2)
[311] U46(mark(X)) -> U46(X)
[312] U46(active(X)) -> U46(X)
[313] U51(mark(X1),X2) -> U51(X1,X2)
[314] U51(X1,mark(X2)) -> U51(X1,X2)
[315] U51(active(X1),X2) -> U51(X1,X2)
[316] U51(X1,active(X2)) -> U51(X1,X2)
[317] U52(mark(X)) -> U52(X)
[318] U52(active(X)) -> U52(X)
[319] U61(mark(X1),X2) -> U61(X1,X2)
[320] U61(X1,mark(X2)) -> U61(X1,X2)
[321] U61(active(X1),X2) -> U61(X1,X2)
[322] U61(X1,active(X2)) -> U61(X1,X2)
[323] U62(mark(X)) -> U62(X)
[324] U62(active(X)) -> U62(X)
[325] U71(mark(X)) -> U71(X)
[326] U71(active(X)) -> U71(X)
[327] U81(mark(X)) -> U81(X)
[328] U81(active(X)) -> U81(X)
[329] U91(mark(X1),X2,X3) -> U91(X1,X2,X3)
[330] U91(X1,mark(X2),X3) -> U91(X1,X2,X3)
[331] U91(X1,X2,mark(X3)) -> U91(X1,X2,X3)
[332] U91(active(X1),X2,X3) -> U91(X1,X2,X3)
[333] U91(X1,active(X2),X3) -> U91(X1,X2,X3)
[334] U91(X1,X2,active(X3)) -> U91(X1,X2,X3)
[335] U92(mark(X1),X2,X3) -> U92(X1,X2,X3)
[336] U92(X1,mark(X2),X3) -> U92(X1,X2,X3)
[337] U92(X1,X2,mark(X3)) -> U92(X1,X2,X3)
[338] U92(active(X1),X2,X3) -> U92(X1,X2,X3)
[339] U92(X1,active(X2),X3) -> U92(X1,X2,X3)
[340] U92(X1,X2,active(X3)) -> U92(X1,X2,X3)
[341] U93(mark(X1),X2,X3) -> U93(X1,X2,X3)
[342] U93(X1,mark(X2),X3) -> U93(X1,X2,X3)
[343] U93(X1,X2,mark(X3)) -> U93(X1,X2,X3)
[344] U93(active(X1),X2,X3) -> U93(X1,X2,X3)
[345] U93(X1,active(X2),X3) -> U93(X1,X2,X3)
[346] U93(X1,X2,active(X3)) -> U93(X1,X2,X3)
[347] U94(mark(X1),X2,X3) -> U94(X1,X2,X3)
[348] U94(X1,mark(X2),X3) -> U94(X1,X2,X3)
[349] U94(X1,X2,mark(X3)) -> U94(X1,X2,X3)
[350] U94(active(X1),X2,X3) -> U94(X1,X2,X3)
[351] U94(X1,active(X2),X3) -> U94(X1,X2,X3)
[352] U94(X1,X2,active(X3)) -> U94(X1,X2,X3)
[353] U95(mark(X1),X2) -> U95(X1,X2)
[354] U95(X1,mark(X2)) -> U95(X1,X2)
[355] U95(active(X1),X2) -> U95(X1,X2)
[356] U95(X1,active(X2)) -> U95(X1,X2)
[357] U96(mark(X)) -> U96(X)
[358] U96(active(X)) -> U96(X)


Sub problem: 
guided: 

DP termination of:
<Marked_active(zeros) , Marked_mark(cons(0,zeros))>
<Marked_active(zeros) , Marked_cons(0,zeros)>
<Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
<Marked_active(U101(tt,V1,V2)) , Marked_U102(isNatKind(V1),V1,V2)>
<Marked_active(U101(tt,V1,V2)) , Marked_isNatKind(V1)>
<Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),V1,V2))>
<Marked_active(U102(tt,V1,V2)) , Marked_U103(isNatIListKind(V2),V1,V2)>
<Marked_active(U102(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),V1,V2))>
<Marked_active(U103(tt,V1,V2)) , Marked_U104(isNatIListKind(V2),V1,V2)>
<Marked_active(U103(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
<Marked_active(U104(tt,V1,V2)) , Marked_U105(isNat(V1),V2)>
<Marked_active(U104(tt,V1,V2)) , Marked_isNat(V1)>
<Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
<Marked_active(U105(tt,V2)) , Marked_U106(isNatIList(V2))>
<Marked_active(U105(tt,V2)) , Marked_isNatIList(V2)>
<Marked_active(U106(tt)) , Marked_mark(tt)>
<Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
<Marked_active(U11(tt,V1)) , Marked_U12(isNatIListKind(V1),V1)>
<Marked_active(U11(tt,V1)) , Marked_isNatIListKind(V1)>
<Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
<Marked_active(U111(tt,L,N)) , Marked_U112(isNatIListKind(L),L,N)>
<Marked_active(U111(tt,L,N)) , Marked_isNatIListKind(L)>
<Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
<Marked_active(U112(tt,L,N)) , Marked_U113(isNat(N),L,N)>
<Marked_active(U112(tt,L,N)) , Marked_isNat(N)>
<Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
<Marked_active(U113(tt,L,N)) , Marked_U114(isNatKind(N),L)>
<Marked_active(U113(tt,L,N)) , Marked_isNatKind(N)>
<Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
<Marked_active(U114(tt,L)) , Marked_s(length(L))>
<Marked_active(U114(tt,L)) , Marked_length(L)>
<Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
<Marked_active(U12(tt,V1)) , Marked_U13(isNatList(V1))>
<Marked_active(U12(tt,V1)) , Marked_isNatList(V1)>
<Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
<Marked_active(U121(tt,IL)) , Marked_U122(isNatIListKind(IL))>
<Marked_active(U121(tt,IL)) , Marked_isNatIListKind(IL)>
<Marked_active(U122(tt)) , Marked_mark(nil)>
<Marked_active(U13(tt)) , Marked_mark(tt)>
<Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),IL,M,N))>
<Marked_active(U131(tt,IL,M,N)) , Marked_U132(isNatIListKind(IL),IL,M,N)>
<Marked_active(U131(tt,IL,M,N)) , Marked_isNatIListKind(IL)>
<Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
<Marked_active(U132(tt,IL,M,N)) , Marked_U133(isNat(M),IL,M,N)>
<Marked_active(U132(tt,IL,M,N)) , Marked_isNat(M)>
<Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),IL,M,N))>
<Marked_active(U133(tt,IL,M,N)) , Marked_U134(isNatKind(M),IL,M,N)>
<Marked_active(U133(tt,IL,M,N)) , Marked_isNatKind(M)>
<Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
<Marked_active(U134(tt,IL,M,N)) , Marked_U135(isNat(N),IL,M,N)>
<Marked_active(U134(tt,IL,M,N)) , Marked_isNat(N)>
<Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),IL,M,N))>
<Marked_active(U135(tt,IL,M,N)) , Marked_U136(isNatKind(N),IL,M,N)>
<Marked_active(U135(tt,IL,M,N)) , Marked_isNatKind(N)>
<Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
<Marked_active(U136(tt,IL,M,N)) , Marked_cons(N,take(M,IL))>
<Marked_active(U136(tt,IL,M,N)) , Marked_take(M,IL)>
<Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
<Marked_active(U21(tt,V1)) , Marked_U22(isNatKind(V1),V1)>
<Marked_active(U21(tt,V1)) , Marked_isNatKind(V1)>
<Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
<Marked_active(U22(tt,V1)) , Marked_U23(isNat(V1))>
<Marked_active(U22(tt,V1)) , Marked_isNat(V1)>
<Marked_active(U23(tt)) , Marked_mark(tt)>
<Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
<Marked_active(U31(tt,V)) , Marked_U32(isNatIListKind(V),V)>
<Marked_active(U31(tt,V)) , Marked_isNatIListKind(V)>
<Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
<Marked_active(U32(tt,V)) , Marked_U33(isNatList(V))>
<Marked_active(U32(tt,V)) , Marked_isNatList(V)>
<Marked_active(U33(tt)) , Marked_mark(tt)>
<Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
<Marked_active(U41(tt,V1,V2)) , Marked_U42(isNatKind(V1),V1,V2)>
<Marked_active(U41(tt,V1,V2)) , Marked_isNatKind(V1)>
<Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),V1,V2))>
<Marked_active(U42(tt,V1,V2)) , Marked_U43(isNatIListKind(V2),V1,V2)>
<Marked_active(U42(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),V1,V2))>
<Marked_active(U43(tt,V1,V2)) , Marked_U44(isNatIListKind(V2),V1,V2)>
<Marked_active(U43(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
<Marked_active(U44(tt,V1,V2)) , Marked_U45(isNat(V1),V2)>
<Marked_active(U44(tt,V1,V2)) , Marked_isNat(V1)>
<Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
<Marked_active(U45(tt,V2)) , Marked_U46(isNatIList(V2))>
<Marked_active(U45(tt,V2)) , Marked_isNatIList(V2)>
<Marked_active(U46(tt)) , Marked_mark(tt)>
<Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
<Marked_active(U51(tt,V2)) , Marked_U52(isNatIListKind(V2))>
<Marked_active(U51(tt,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U52(tt)) , Marked_mark(tt)>
<Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
<Marked_active(U61(tt,V2)) , Marked_U62(isNatIListKind(V2))>
<Marked_active(U61(tt,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U62(tt)) , Marked_mark(tt)>
<Marked_active(U71(tt)) , Marked_mark(tt)>
<Marked_active(U81(tt)) , Marked_mark(tt)>
<Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
<Marked_active(U91(tt,V1,V2)) , Marked_U92(isNatKind(V1),V1,V2)>
<Marked_active(U91(tt,V1,V2)) , Marked_isNatKind(V1)>
<Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),V1,V2))>
<Marked_active(U92(tt,V1,V2)) , Marked_U93(isNatIListKind(V2),V1,V2)>
<Marked_active(U92(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),V1,V2))>
<Marked_active(U93(tt,V1,V2)) , Marked_U94(isNatIListKind(V2),V1,V2)>
<Marked_active(U93(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
<Marked_active(U94(tt,V1,V2)) , Marked_U95(isNat(V1),V2)>
<Marked_active(U94(tt,V1,V2)) , Marked_isNat(V1)>
<Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
<Marked_active(U95(tt,V2)) , Marked_U96(isNatList(V2))>
<Marked_active(U95(tt,V2)) , Marked_isNatList(V2)>
<Marked_active(U96(tt)) , Marked_mark(tt)>
<Marked_active(isNat(0)) , Marked_mark(tt)>
<Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),V1))>
<Marked_active(isNat(length(V1))) , Marked_U11(isNatIListKind(V1),V1)>
<Marked_active(isNat(length(V1))) , Marked_isNatIListKind(V1)>
<Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
<Marked_active(isNat(s(V1))) , Marked_U21(isNatKind(V1),V1)>
<Marked_active(isNat(s(V1))) , Marked_isNatKind(V1)>
<Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
<Marked_active(isNatIList(V)) , Marked_U31(isNatIListKind(V),V)>
<Marked_active(isNatIList(V)) , Marked_isNatIListKind(V)>
<Marked_active(isNatIList(zeros)) , Marked_mark(tt)>
<Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(V1),V1,V2))>
<Marked_active(isNatIList(cons(V1,V2))) , Marked_U41(isNatKind(V1),V1,V2)>
<Marked_active(isNatIList(cons(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatIListKind(nil)) , Marked_mark(tt)>
<Marked_active(isNatIListKind(zeros)) , Marked_mark(tt)>
<Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(isNatKind(V1),V2))>
<Marked_active(isNatIListKind(cons(V1,V2))) , Marked_U51(isNatKind(V1),V2)>
<Marked_active(isNatIListKind(cons(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(isNatKind(V1),V2))>
<Marked_active(isNatIListKind(take(V1,V2))) , Marked_U61(isNatKind(V1),V2)>
<Marked_active(isNatIListKind(take(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatKind(0)) , Marked_mark(tt)>
<Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(V1)))>
<Marked_active(isNatKind(length(V1))) , Marked_U71(isNatIListKind(V1))>
<Marked_active(isNatKind(length(V1))) , Marked_isNatIListKind(V1)>
<Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
<Marked_active(isNatKind(s(V1))) , Marked_U81(isNatKind(V1))>
<Marked_active(isNatKind(s(V1))) , Marked_isNatKind(V1)>
<Marked_active(isNatList(nil)) , Marked_mark(tt)>
<Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),V1,V2))>
<Marked_active(isNatList(cons(V1,V2))) , Marked_U91(isNatKind(V1),V1,V2)>
<Marked_active(isNatList(cons(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(V1),V1,V2))>
<Marked_active(isNatList(take(V1,V2))) , Marked_U101(isNatKind(V1),V1,V2)>
<Marked_active(isNatList(take(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(length(nil)) , Marked_mark(0)>
<Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
<Marked_active(length(cons(N,L))) , Marked_U111(isNatList(L),L,N)>
<Marked_active(length(cons(N,L))) , Marked_isNatList(L)>
<Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
<Marked_active(take(0,IL)) , Marked_U121(isNatIList(IL),IL)>
<Marked_active(take(0,IL)) , Marked_isNatIList(IL)>
<Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(IL),IL,M,N))>
<Marked_active(take(s(M),cons(N,IL))) , Marked_U131(isNatIList(IL),IL,M,N)>
<Marked_active(take(s(M),cons(N,IL))) , Marked_isNatIList(IL)>
<Marked_mark(zeros) , Marked_active(zeros)>
<Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
<Marked_mark(cons(X1,X2)) , Marked_cons(mark(X1),X2)>
<Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
<Marked_mark(0) , Marked_active(0)>
<Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
<Marked_mark(U101(X1,X2,X3)) , Marked_U101(mark(X1),X2,X3)>
<Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(tt) , Marked_active(tt)>
<Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
<Marked_mark(U102(X1,X2,X3)) , Marked_U102(mark(X1),X2,X3)>
<Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
<Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
<Marked_mark(U103(X1,X2,X3)) , Marked_U103(mark(X1),X2,X3)>
<Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
<Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
<Marked_mark(U104(X1,X2,X3)) , Marked_U104(mark(X1),X2,X3)>
<Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
<Marked_mark(U105(X1,X2)) , Marked_U105(mark(X1),X2)>
<Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
<Marked_mark(isNat(X)) , Marked_active(isNat(X))>
<Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
<Marked_mark(U106(X)) , Marked_U106(mark(X))>
<Marked_mark(U106(X)) , Marked_mark(X)>
<Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
<Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
<Marked_mark(U11(X1,X2)) , Marked_U11(mark(X1),X2)>
<Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
<Marked_mark(U12(X1,X2)) , Marked_U12(mark(X1),X2)>
<Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
<Marked_mark(U111(X1,X2,X3)) , Marked_U111(mark(X1),X2,X3)>
<Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
<Marked_mark(U112(X1,X2,X3)) , Marked_U112(mark(X1),X2,X3)>
<Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
<Marked_mark(U113(X1,X2,X3)) , Marked_U113(mark(X1),X2,X3)>
<Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
<Marked_mark(U114(X1,X2)) , Marked_U114(mark(X1),X2)>
<Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
<Marked_mark(s(X)) , Marked_active(s(mark(X)))>
<Marked_mark(s(X)) , Marked_s(mark(X))>
<Marked_mark(s(X)) , Marked_mark(X)>
<Marked_mark(length(X)) , Marked_active(length(mark(X)))>
<Marked_mark(length(X)) , Marked_length(mark(X))>
<Marked_mark(length(X)) , Marked_mark(X)>
<Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
<Marked_mark(U13(X)) , Marked_U13(mark(X))>
<Marked_mark(U13(X)) , Marked_mark(X)>
<Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
<Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
<Marked_mark(U121(X1,X2)) , Marked_U121(mark(X1),X2)>
<Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
<Marked_mark(U122(X)) , Marked_U122(mark(X))>
<Marked_mark(U122(X)) , Marked_mark(X)>
<Marked_mark(nil) , Marked_active(nil)>
<Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))>
<Marked_mark(U131(X1,X2,X3,X4)) , Marked_U131(mark(X1),X2,X3,X4)>
<Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
<Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))>
<Marked_mark(U132(X1,X2,X3,X4)) , Marked_U132(mark(X1),X2,X3,X4)>
<Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
<Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))>
<Marked_mark(U133(X1,X2,X3,X4)) , Marked_U133(mark(X1),X2,X3,X4)>
<Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
<Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))>
<Marked_mark(U134(X1,X2,X3,X4)) , Marked_U134(mark(X1),X2,X3,X4)>
<Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
<Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))>
<Marked_mark(U135(X1,X2,X3,X4)) , Marked_U135(mark(X1),X2,X3,X4)>
<Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
<Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))>
<Marked_mark(U136(X1,X2,X3,X4)) , Marked_U136(mark(X1),X2,X3,X4)>
<Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
<Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
<Marked_mark(take(X1,X2)) , Marked_take(mark(X1),mark(X2))>
<Marked_mark(take(X1,X2)) , Marked_mark(X1)>
<Marked_mark(take(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
<Marked_mark(U21(X1,X2)) , Marked_U21(mark(X1),X2)>
<Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
<Marked_mark(U22(X1,X2)) , Marked_U22(mark(X1),X2)>
<Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
<Marked_mark(U23(X)) , Marked_U23(mark(X))>
<Marked_mark(U23(X)) , Marked_mark(X)>
<Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
<Marked_mark(U31(X1,X2)) , Marked_U31(mark(X1),X2)>
<Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
<Marked_mark(U32(X1,X2)) , Marked_U32(mark(X1),X2)>
<Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
<Marked_mark(U33(X)) , Marked_U33(mark(X))>
<Marked_mark(U33(X)) , Marked_mark(X)>
<Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
<Marked_mark(U41(X1,X2,X3)) , Marked_U41(mark(X1),X2,X3)>
<Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
<Marked_mark(U42(X1,X2,X3)) , Marked_U42(mark(X1),X2,X3)>
<Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
<Marked_mark(U43(X1,X2,X3)) , Marked_U43(mark(X1),X2,X3)>
<Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
<Marked_mark(U44(X1,X2,X3)) , Marked_U44(mark(X1),X2,X3)>
<Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
<Marked_mark(U45(X1,X2)) , Marked_U45(mark(X1),X2)>
<Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
<Marked_mark(U46(X)) , Marked_U46(mark(X))>
<Marked_mark(U46(X)) , Marked_mark(X)>
<Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
<Marked_mark(U51(X1,X2)) , Marked_U51(mark(X1),X2)>
<Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
<Marked_mark(U52(X)) , Marked_U52(mark(X))>
<Marked_mark(U52(X)) , Marked_mark(X)>
<Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
<Marked_mark(U61(X1,X2)) , Marked_U61(mark(X1),X2)>
<Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
<Marked_mark(U62(X)) , Marked_U62(mark(X))>
<Marked_mark(U62(X)) , Marked_mark(X)>
<Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
<Marked_mark(U71(X)) , Marked_U71(mark(X))>
<Marked_mark(U71(X)) , Marked_mark(X)>
<Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
<Marked_mark(U81(X)) , Marked_U81(mark(X))>
<Marked_mark(U81(X)) , Marked_mark(X)>
<Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
<Marked_mark(U91(X1,X2,X3)) , Marked_U91(mark(X1),X2,X3)>
<Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
<Marked_mark(U92(X1,X2,X3)) , Marked_U92(mark(X1),X2,X3)>
<Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
<Marked_mark(U93(X1,X2,X3)) , Marked_U93(mark(X1),X2,X3)>
<Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
<Marked_mark(U94(X1,X2,X3)) , Marked_U94(mark(X1),X2,X3)>
<Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
<Marked_mark(U95(X1,X2)) , Marked_U95(mark(X1),X2)>
<Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
<Marked_mark(U96(X)) , Marked_U96(mark(X))>
<Marked_mark(U96(X)) , Marked_mark(X)>
<Marked_cons(mark(X1),X2) , Marked_cons(X1,X2)>
<Marked_cons(X1,mark(X2)) , Marked_cons(X1,X2)>
<Marked_cons(active(X1),X2) , Marked_cons(X1,X2)>
<Marked_cons(X1,active(X2)) , Marked_cons(X1,X2)>
<Marked_U101(mark(X1),X2,X3) , Marked_U101(X1,X2,X3)>
<Marked_U101(X1,mark(X2),X3) , Marked_U101(X1,X2,X3)>
<Marked_U101(X1,X2,mark(X3)) , Marked_U101(X1,X2,X3)>
<Marked_U101(active(X1),X2,X3) , Marked_U101(X1,X2,X3)>
<Marked_U101(X1,active(X2),X3) , Marked_U101(X1,X2,X3)>
<Marked_U101(X1,X2,active(X3)) , Marked_U101(X1,X2,X3)>
<Marked_U102(mark(X1),X2,X3) , Marked_U102(X1,X2,X3)>
<Marked_U102(X1,mark(X2),X3) , Marked_U102(X1,X2,X3)>
<Marked_U102(X1,X2,mark(X3)) , Marked_U102(X1,X2,X3)>
<Marked_U102(active(X1),X2,X3) , Marked_U102(X1,X2,X3)>
<Marked_U102(X1,active(X2),X3) , Marked_U102(X1,X2,X3)>
<Marked_U102(X1,X2,active(X3)) , Marked_U102(X1,X2,X3)>
<Marked_isNatKind(mark(X)) , Marked_isNatKind(X)>
<Marked_isNatKind(active(X)) , Marked_isNatKind(X)>
<Marked_U103(mark(X1),X2,X3) , Marked_U103(X1,X2,X3)>
<Marked_U103(X1,mark(X2),X3) , Marked_U103(X1,X2,X3)>
<Marked_U103(X1,X2,mark(X3)) , Marked_U103(X1,X2,X3)>
<Marked_U103(active(X1),X2,X3) , Marked_U103(X1,X2,X3)>
<Marked_U103(X1,active(X2),X3) , Marked_U103(X1,X2,X3)>
<Marked_U103(X1,X2,active(X3)) , Marked_U103(X1,X2,X3)>
<Marked_isNatIListKind(mark(X)) , Marked_isNatIListKind(X)>
<Marked_isNatIListKind(active(X)) , Marked_isNatIListKind(X)>
<Marked_U104(mark(X1),X2,X3) , Marked_U104(X1,X2,X3)>
<Marked_U104(X1,mark(X2),X3) , Marked_U104(X1,X2,X3)>
<Marked_U104(X1,X2,mark(X3)) , Marked_U104(X1,X2,X3)>
<Marked_U104(active(X1),X2,X3) , Marked_U104(X1,X2,X3)>
<Marked_U104(X1,active(X2),X3) , Marked_U104(X1,X2,X3)>
<Marked_U104(X1,X2,active(X3)) , Marked_U104(X1,X2,X3)>
<Marked_U105(mark(X1),X2) , Marked_U105(X1,X2)>
<Marked_U105(X1,mark(X2)) , Marked_U105(X1,X2)>
<Marked_U105(active(X1),X2) , Marked_U105(X1,X2)>
<Marked_U105(X1,active(X2)) , Marked_U105(X1,X2)>
<Marked_isNat(mark(X)) , Marked_isNat(X)>
<Marked_isNat(active(X)) , Marked_isNat(X)>
<Marked_U106(mark(X)) , Marked_U106(X)>
<Marked_U106(active(X)) , Marked_U106(X)>
<Marked_isNatIList(mark(X)) , Marked_isNatIList(X)>
<Marked_isNatIList(active(X)) , Marked_isNatIList(X)>
<Marked_U11(mark(X1),X2) , Marked_U11(X1,X2)>
<Marked_U11(X1,mark(X2)) , Marked_U11(X1,X2)>
<Marked_U11(active(X1),X2) , Marked_U11(X1,X2)>
<Marked_U11(X1,active(X2)) , Marked_U11(X1,X2)>
<Marked_U12(mark(X1),X2) , Marked_U12(X1,X2)>
<Marked_U12(X1,mark(X2)) , Marked_U12(X1,X2)>
<Marked_U12(active(X1),X2) , Marked_U12(X1,X2)>
<Marked_U12(X1,active(X2)) , Marked_U12(X1,X2)>
<Marked_U111(mark(X1),X2,X3) , Marked_U111(X1,X2,X3)>
<Marked_U111(X1,mark(X2),X3) , Marked_U111(X1,X2,X3)>
<Marked_U111(X1,X2,mark(X3)) , Marked_U111(X1,X2,X3)>
<Marked_U111(active(X1),X2,X3) , Marked_U111(X1,X2,X3)>
<Marked_U111(X1,active(X2),X3) , Marked_U111(X1,X2,X3)>
<Marked_U111(X1,X2,active(X3)) , Marked_U111(X1,X2,X3)>
<Marked_U112(mark(X1),X2,X3) , Marked_U112(X1,X2,X3)>
<Marked_U112(X1,mark(X2),X3) , Marked_U112(X1,X2,X3)>
<Marked_U112(X1,X2,mark(X3)) , Marked_U112(X1,X2,X3)>
<Marked_U112(active(X1),X2,X3) , Marked_U112(X1,X2,X3)>
<Marked_U112(X1,active(X2),X3) , Marked_U112(X1,X2,X3)>
<Marked_U112(X1,X2,active(X3)) , Marked_U112(X1,X2,X3)>
<Marked_U113(mark(X1),X2,X3) , Marked_U113(X1,X2,X3)>
<Marked_U113(X1,mark(X2),X3) , Marked_U113(X1,X2,X3)>
<Marked_U113(X1,X2,mark(X3)) , Marked_U113(X1,X2,X3)>
<Marked_U113(active(X1),X2,X3) , Marked_U113(X1,X2,X3)>
<Marked_U113(X1,active(X2),X3) , Marked_U113(X1,X2,X3)>
<Marked_U113(X1,X2,active(X3)) , Marked_U113(X1,X2,X3)>
<Marked_U114(mark(X1),X2) , Marked_U114(X1,X2)>
<Marked_U114(X1,mark(X2)) , Marked_U114(X1,X2)>
<Marked_U114(active(X1),X2) , Marked_U114(X1,X2)>
<Marked_U114(X1,active(X2)) , Marked_U114(X1,X2)>
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_s(active(X)) , Marked_s(X)>
<Marked_length(mark(X)) , Marked_length(X)>
<Marked_length(active(X)) , Marked_length(X)>
<Marked_U13(mark(X)) , Marked_U13(X)>
<Marked_U13(active(X)) , Marked_U13(X)>
<Marked_isNatList(mark(X)) , Marked_isNatList(X)>
<Marked_isNatList(active(X)) , Marked_isNatList(X)>
<Marked_U121(mark(X1),X2) , Marked_U121(X1,X2)>
<Marked_U121(X1,mark(X2)) , Marked_U121(X1,X2)>
<Marked_U121(active(X1),X2) , Marked_U121(X1,X2)>
<Marked_U121(X1,active(X2)) , Marked_U121(X1,X2)>
<Marked_U122(mark(X)) , Marked_U122(X)>
<Marked_U122(active(X)) , Marked_U122(X)>
<Marked_U131(mark(X1),X2,X3,X4) , Marked_U131(X1,X2,X3,X4)>
<Marked_U131(X1,mark(X2),X3,X4) , Marked_U131(X1,X2,X3,X4)>
<Marked_U131(X1,X2,mark(X3),X4) , Marked_U131(X1,X2,X3,X4)>
<Marked_U131(X1,X2,X3,mark(X4)) , Marked_U131(X1,X2,X3,X4)>
<Marked_U131(active(X1),X2,X3,X4) , Marked_U131(X1,X2,X3,X4)>
<Marked_U131(X1,active(X2),X3,X4) , Marked_U131(X1,X2,X3,X4)>
<Marked_U131(X1,X2,active(X3),X4) , Marked_U131(X1,X2,X3,X4)>
<Marked_U131(X1,X2,X3,active(X4)) , Marked_U131(X1,X2,X3,X4)>
<Marked_U132(mark(X1),X2,X3,X4) , Marked_U132(X1,X2,X3,X4)>
<Marked_U132(X1,mark(X2),X3,X4) , Marked_U132(X1,X2,X3,X4)>
<Marked_U132(X1,X2,mark(X3),X4) , Marked_U132(X1,X2,X3,X4)>
<Marked_U132(X1,X2,X3,mark(X4)) , Marked_U132(X1,X2,X3,X4)>
<Marked_U132(active(X1),X2,X3,X4) , Marked_U132(X1,X2,X3,X4)>
<Marked_U132(X1,active(X2),X3,X4) , Marked_U132(X1,X2,X3,X4)>
<Marked_U132(X1,X2,active(X3),X4) , Marked_U132(X1,X2,X3,X4)>
<Marked_U132(X1,X2,X3,active(X4)) , Marked_U132(X1,X2,X3,X4)>
<Marked_U133(mark(X1),X2,X3,X4) , Marked_U133(X1,X2,X3,X4)>
<Marked_U133(X1,mark(X2),X3,X4) , Marked_U133(X1,X2,X3,X4)>
<Marked_U133(X1,X2,mark(X3),X4) , Marked_U133(X1,X2,X3,X4)>
<Marked_U133(X1,X2,X3,mark(X4)) , Marked_U133(X1,X2,X3,X4)>
<Marked_U133(active(X1),X2,X3,X4) , Marked_U133(X1,X2,X3,X4)>
<Marked_U133(X1,active(X2),X3,X4) , Marked_U133(X1,X2,X3,X4)>
<Marked_U133(X1,X2,active(X3),X4) , Marked_U133(X1,X2,X3,X4)>
<Marked_U133(X1,X2,X3,active(X4)) , Marked_U133(X1,X2,X3,X4)>
<Marked_U134(mark(X1),X2,X3,X4) , Marked_U134(X1,X2,X3,X4)>
<Marked_U134(X1,mark(X2),X3,X4) , Marked_U134(X1,X2,X3,X4)>
<Marked_U134(X1,X2,mark(X3),X4) , Marked_U134(X1,X2,X3,X4)>
<Marked_U134(X1,X2,X3,mark(X4)) , Marked_U134(X1,X2,X3,X4)>
<Marked_U134(active(X1),X2,X3,X4) , Marked_U134(X1,X2,X3,X4)>
<Marked_U134(X1,active(X2),X3,X4) , Marked_U134(X1,X2,X3,X4)>
<Marked_U134(X1,X2,active(X3),X4) , Marked_U134(X1,X2,X3,X4)>
<Marked_U134(X1,X2,X3,active(X4)) , Marked_U134(X1,X2,X3,X4)>
<Marked_U135(mark(X1),X2,X3,X4) , Marked_U135(X1,X2,X3,X4)>
<Marked_U135(X1,mark(X2),X3,X4) , Marked_U135(X1,X2,X3,X4)>
<Marked_U135(X1,X2,mark(X3),X4) , Marked_U135(X1,X2,X3,X4)>
<Marked_U135(X1,X2,X3,mark(X4)) , Marked_U135(X1,X2,X3,X4)>
<Marked_U135(active(X1),X2,X3,X4) , Marked_U135(X1,X2,X3,X4)>
<Marked_U135(X1,active(X2),X3,X4) , Marked_U135(X1,X2,X3,X4)>
<Marked_U135(X1,X2,active(X3),X4) , Marked_U135(X1,X2,X3,X4)>
<Marked_U135(X1,X2,X3,active(X4)) , Marked_U135(X1,X2,X3,X4)>
<Marked_U136(mark(X1),X2,X3,X4) , Marked_U136(X1,X2,X3,X4)>
<Marked_U136(X1,mark(X2),X3,X4) , Marked_U136(X1,X2,X3,X4)>
<Marked_U136(X1,X2,mark(X3),X4) , Marked_U136(X1,X2,X3,X4)>
<Marked_U136(X1,X2,X3,mark(X4)) , Marked_U136(X1,X2,X3,X4)>
<Marked_U136(active(X1),X2,X3,X4) , Marked_U136(X1,X2,X3,X4)>
<Marked_U136(X1,active(X2),X3,X4) , Marked_U136(X1,X2,X3,X4)>
<Marked_U136(X1,X2,active(X3),X4) , Marked_U136(X1,X2,X3,X4)>
<Marked_U136(X1,X2,X3,active(X4)) , Marked_U136(X1,X2,X3,X4)>
<Marked_take(mark(X1),X2) , Marked_take(X1,X2)>
<Marked_take(X1,mark(X2)) , Marked_take(X1,X2)>
<Marked_take(active(X1),X2) , Marked_take(X1,X2)>
<Marked_take(X1,active(X2)) , Marked_take(X1,X2)>
<Marked_U21(mark(X1),X2) , Marked_U21(X1,X2)>
<Marked_U21(X1,mark(X2)) , Marked_U21(X1,X2)>
<Marked_U21(active(X1),X2) , Marked_U21(X1,X2)>
<Marked_U21(X1,active(X2)) , Marked_U21(X1,X2)>
<Marked_U22(mark(X1),X2) , Marked_U22(X1,X2)>
<Marked_U22(X1,mark(X2)) , Marked_U22(X1,X2)>
<Marked_U22(active(X1),X2) , Marked_U22(X1,X2)>
<Marked_U22(X1,active(X2)) , Marked_U22(X1,X2)>
<Marked_U23(mark(X)) , Marked_U23(X)>
<Marked_U23(active(X)) , Marked_U23(X)>
<Marked_U31(mark(X1),X2) , Marked_U31(X1,X2)>
<Marked_U31(X1,mark(X2)) , Marked_U31(X1,X2)>
<Marked_U31(active(X1),X2) , Marked_U31(X1,X2)>
<Marked_U31(X1,active(X2)) , Marked_U31(X1,X2)>
<Marked_U32(mark(X1),X2) , Marked_U32(X1,X2)>
<Marked_U32(X1,mark(X2)) , Marked_U32(X1,X2)>
<Marked_U32(active(X1),X2) , Marked_U32(X1,X2)>
<Marked_U32(X1,active(X2)) , Marked_U32(X1,X2)>
<Marked_U33(mark(X)) , Marked_U33(X)>
<Marked_U33(active(X)) , Marked_U33(X)>
<Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)>
<Marked_U41(X1,mark(X2),X3) , Marked_U41(X1,X2,X3)>
<Marked_U41(X1,X2,mark(X3)) , Marked_U41(X1,X2,X3)>
<Marked_U41(active(X1),X2,X3) , Marked_U41(X1,X2,X3)>
<Marked_U41(X1,active(X2),X3) , Marked_U41(X1,X2,X3)>
<Marked_U41(X1,X2,active(X3)) , Marked_U41(X1,X2,X3)>
<Marked_U42(mark(X1),X2,X3) , Marked_U42(X1,X2,X3)>
<Marked_U42(X1,mark(X2),X3) , Marked_U42(X1,X2,X3)>
<Marked_U42(X1,X2,mark(X3)) , Marked_U42(X1,X2,X3)>
<Marked_U42(active(X1),X2,X3) , Marked_U42(X1,X2,X3)>
<Marked_U42(X1,active(X2),X3) , Marked_U42(X1,X2,X3)>
<Marked_U42(X1,X2,active(X3)) , Marked_U42(X1,X2,X3)>
<Marked_U43(mark(X1),X2,X3) , Marked_U43(X1,X2,X3)>
<Marked_U43(X1,mark(X2),X3) , Marked_U43(X1,X2,X3)>
<Marked_U43(X1,X2,mark(X3)) , Marked_U43(X1,X2,X3)>
<Marked_U43(active(X1),X2,X3) , Marked_U43(X1,X2,X3)>
<Marked_U43(X1,active(X2),X3) , Marked_U43(X1,X2,X3)>
<Marked_U43(X1,X2,active(X3)) , Marked_U43(X1,X2,X3)>
<Marked_U44(mark(X1),X2,X3) , Marked_U44(X1,X2,X3)>
<Marked_U44(X1,mark(X2),X3) , Marked_U44(X1,X2,X3)>
<Marked_U44(X1,X2,mark(X3)) , Marked_U44(X1,X2,X3)>
<Marked_U44(active(X1),X2,X3) , Marked_U44(X1,X2,X3)>
<Marked_U44(X1,active(X2),X3) , Marked_U44(X1,X2,X3)>
<Marked_U44(X1,X2,active(X3)) , Marked_U44(X1,X2,X3)>
<Marked_U45(mark(X1),X2) , Marked_U45(X1,X2)>
<Marked_U45(X1,mark(X2)) , Marked_U45(X1,X2)>
<Marked_U45(active(X1),X2) , Marked_U45(X1,X2)>
<Marked_U45(X1,active(X2)) , Marked_U45(X1,X2)>
<Marked_U46(mark(X)) , Marked_U46(X)>
<Marked_U46(active(X)) , Marked_U46(X)>
<Marked_U51(mark(X1),X2) , Marked_U51(X1,X2)>
<Marked_U51(X1,mark(X2)) , Marked_U51(X1,X2)>
<Marked_U51(active(X1),X2) , Marked_U51(X1,X2)>
<Marked_U51(X1,active(X2)) , Marked_U51(X1,X2)>
<Marked_U52(mark(X)) , Marked_U52(X)>
<Marked_U52(active(X)) , Marked_U52(X)>
<Marked_U61(mark(X1),X2) , Marked_U61(X1,X2)>
<Marked_U61(X1,mark(X2)) , Marked_U61(X1,X2)>
<Marked_U61(active(X1),X2) , Marked_U61(X1,X2)>
<Marked_U61(X1,active(X2)) , Marked_U61(X1,X2)>
<Marked_U62(mark(X)) , Marked_U62(X)>
<Marked_U62(active(X)) , Marked_U62(X)>
<Marked_U71(mark(X)) , Marked_U71(X)>
<Marked_U71(active(X)) , Marked_U71(X)>
<Marked_U81(mark(X)) , Marked_U81(X)>
<Marked_U81(active(X)) , Marked_U81(X)>
<Marked_U91(mark(X1),X2,X3) , Marked_U91(X1,X2,X3)>
<Marked_U91(X1,mark(X2),X3) , Marked_U91(X1,X2,X3)>
<Marked_U91(X1,X2,mark(X3)) , Marked_U91(X1,X2,X3)>
<Marked_U91(active(X1),X2,X3) , Marked_U91(X1,X2,X3)>
<Marked_U91(X1,active(X2),X3) , Marked_U91(X1,X2,X3)>
<Marked_U91(X1,X2,active(X3)) , Marked_U91(X1,X2,X3)>
<Marked_U92(mark(X1),X2,X3) , Marked_U92(X1,X2,X3)>
<Marked_U92(X1,mark(X2),X3) , Marked_U92(X1,X2,X3)>
<Marked_U92(X1,X2,mark(X3)) , Marked_U92(X1,X2,X3)>
<Marked_U92(active(X1),X2,X3) , Marked_U92(X1,X2,X3)>
<Marked_U92(X1,active(X2),X3) , Marked_U92(X1,X2,X3)>
<Marked_U92(X1,X2,active(X3)) , Marked_U92(X1,X2,X3)>
<Marked_U93(mark(X1),X2,X3) , Marked_U93(X1,X2,X3)>
<Marked_U93(X1,mark(X2),X3) , Marked_U93(X1,X2,X3)>
<Marked_U93(X1,X2,mark(X3)) , Marked_U93(X1,X2,X3)>
<Marked_U93(active(X1),X2,X3) , Marked_U93(X1,X2,X3)>
<Marked_U93(X1,active(X2),X3) , Marked_U93(X1,X2,X3)>
<Marked_U93(X1,X2,active(X3)) , Marked_U93(X1,X2,X3)>
<Marked_U94(mark(X1),X2,X3) , Marked_U94(X1,X2,X3)>
<Marked_U94(X1,mark(X2),X3) , Marked_U94(X1,X2,X3)>
<Marked_U94(X1,X2,mark(X3)) , Marked_U94(X1,X2,X3)>
<Marked_U94(active(X1),X2,X3) , Marked_U94(X1,X2,X3)>
<Marked_U94(X1,active(X2),X3) , Marked_U94(X1,X2,X3)>
<Marked_U94(X1,X2,active(X3)) , Marked_U94(X1,X2,X3)>
<Marked_U95(mark(X1),X2) , Marked_U95(X1,X2)>
<Marked_U95(X1,mark(X2)) , Marked_U95(X1,X2)>
<Marked_U95(active(X1),X2) , Marked_U95(X1,X2)>
<Marked_U95(X1,active(X2)) , Marked_U95(X1,X2)>
<Marked_U96(mark(X)) , Marked_U96(X)>
<Marked_U96(active(X)) , Marked_U96(X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 55 components:

{  <Marked_mark(U96(X)) , Marked_mark(X)> 
      --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U96(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U95(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U71(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U62(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U33(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U32(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U31(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U23(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U22(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),X2,X3,X4))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),X2,X3,X4))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),X2,X3,X4))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),X2,X3,X4))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),X2,X3,X4))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),X2,X3,X4))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U13(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(length(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(length(X)) , Marked_active(length(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U114(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U12(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U11(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(isNat(X)) , Marked_active(isNat(X))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(zeros) , Marked_active(zeros)>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(take(s(M),cons(N,IL))) , Marked_mark(U131(isNatIList(
                                                                   IL),
                                                              IL,M,N))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(take(0,IL)) , Marked_mark(U121(isNatIList(IL),IL))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(length(cons(N,L))) , Marked_mark(U111(isNatList(L),L,N))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(isNatList(take(V1,V2))) , Marked_mark(U101(isNatKind(
                                                                    V1),
                                                               V1,V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(isNatList(cons(V1,V2))) , Marked_mark(U91(isNatKind(V1),
                                                               V1,V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(isNatKind(s(V1))) , Marked_mark(U81(isNatKind(V1)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(isNatKind(length(V1))) , Marked_mark(U71(isNatIListKind(
                                                                  V1)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(isNatIListKind(take(V1,V2))) , Marked_mark(U61(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(isNatIListKind(cons(V1,V2))) , Marked_mark(U51(
                                                                    isNatKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(isNatIList(cons(V1,V2))) , Marked_mark(U41(isNatKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(isNatIList(V)) , Marked_mark(U31(isNatIListKind(V),V))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(isNat(s(V1))) , Marked_mark(U21(isNatKind(V1),V1))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(isNat(length(V1))) , Marked_mark(U11(isNatIListKind(V1),
                                                          V1))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U95(tt,V2)) , Marked_mark(U96(isNatList(V2)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U94(tt,V1,V2)) , Marked_mark(U95(isNat(V1),V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U93(tt,V1,V2)) , Marked_mark(U94(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U92(tt,V1,V2)) , Marked_mark(U93(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U91(tt,V1,V2)) , Marked_mark(U92(isNatKind(V1),V1,V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U61(tt,V2)) , Marked_mark(U62(isNatIListKind(V2)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U51(tt,V2)) , Marked_mark(U52(isNatIListKind(V2)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isNatIList(V2)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNat(V1),V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isNatIListKind(V2),
                                                      V1,V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNatKind(V1),V1,V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U32(tt,V)) , Marked_mark(U33(isNatList(V)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U31(tt,V)) , Marked_mark(U32(isNatIListKind(V),V))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U22(tt,V1)) , Marked_mark(U23(isNat(V1)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U21(tt,V1)) , Marked_mark(U22(isNatKind(V1),V1))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U136(tt,IL,M,N)) , Marked_mark(cons(N,take(M,IL)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U135(tt,IL,M,N)) , Marked_mark(U136(isNatKind(N),
                                                        IL,M,N))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U134(tt,IL,M,N)) , Marked_mark(U135(isNat(N),IL,M,N))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U133(tt,IL,M,N)) , Marked_mark(U134(isNatKind(M),
                                                        IL,M,N))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U132(tt,IL,M,N)) , Marked_mark(U133(isNat(M),IL,M,N))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U131(tt,IL,M,N)) , Marked_mark(U132(isNatIListKind(IL),
                                                        IL,M,N))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U121(tt,IL)) , Marked_mark(U122(isNatIListKind(IL)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U12(tt,V1)) , Marked_mark(U13(isNatList(V1)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U114(tt,L)) , Marked_mark(s(length(L)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U113(tt,L,N)) , Marked_mark(U114(isNatKind(N),L))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U112(tt,L,N)) , Marked_mark(U113(isNat(N),L,N))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U111(tt,L,N)) , Marked_mark(U112(isNatIListKind(L),L,N))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U11(tt,V1)) , Marked_mark(U12(isNatIListKind(V1),V1))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isNatIList(V2)))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNat(V1),V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isNatIListKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNatKind(V1),V1,V2))>
  <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))> 
     --> <Marked_active(zeros) , Marked_mark(cons(0,zeros))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U96(X)) , Marked_active(U96(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U95(X1,X2)) , Marked_active(U95(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U94(X1,X2,X3)) , Marked_active(U94(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X1,X2,X3)) , Marked_active(U93(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2,X3)) , Marked_active(U92(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2,X3)) , Marked_active(U91(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_active(U81(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X)) , Marked_active(U71(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X)) , Marked_active(U62(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_active(U52(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_active(U51(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X)) , Marked_active(U33(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2)) , Marked_active(U32(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2)) , Marked_active(U31(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X)) , Marked_active(U23(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2)) , Marked_active(U22(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_active(U21(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U136(X1,X2,X3,X4)) , Marked_active(U136(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U135(X1,X2,X3,X4)) , Marked_active(U135(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U134(X1,X2,X3,X4)) , Marked_active(U134(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U133(X1,X2,X3,X4)) , Marked_active(U133(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U132(X1,X2,X3,X4)) , Marked_active(U132(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X1,X2,X3,X4)) , Marked_active(U131(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatList(X)) , Marked_active(isNatList(X))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X)) , Marked_active(U13(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(length(X)) , Marked_active(length(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U114(X1,X2)) , Marked_active(U114(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U113(X1,X2,X3)) , Marked_active(U113(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X1,X2,X3)) , Marked_active(U112(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2,X3)) , Marked_active(U111(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2)) , Marked_active(U12(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2)) , Marked_active(U11(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIList(X)) , Marked_active(isNatIList(X))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNat(X)) , Marked_active(isNat(X))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatIListKind(X)) , Marked_active(isNatIListKind(X))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatKind(X)) , Marked_active(isNatKind(X))>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U102(X