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

TRS termination of:
[1] active(zeros) -> mark(cons(0,zeros))
[2] active(U11(tt,V1)) -> mark(U12(isNatIListKind(V1),V1))
[3] active(U12(tt,V1)) -> mark(U13(isNatList(V1)))
[4] active(U13(tt)) -> mark(tt)
[5] active(U21(tt,V1)) -> mark(U22(isNatKind(V1),V1))
[6] active(U22(tt,V1)) -> mark(U23(isNat(V1)))
[7] active(U23(tt)) -> mark(tt)
[8] active(U31(tt,V)) -> mark(U32(isNatIListKind(V),V))
[9] active(U32(tt,V)) -> mark(U33(isNatList(V)))
[10] active(U33(tt)) -> mark(tt)
[11] active(U41(tt,V1,V2)) -> mark(U42(isNatKind(V1),V1,V2))
[12] active(U42(tt,V1,V2)) -> mark(U43(isNatIListKind(V2),V1,V2))
[13] active(U43(tt,V1,V2)) -> mark(U44(isNatIListKind(V2),V1,V2))
[14] active(U44(tt,V1,V2)) -> mark(U45(isNat(V1),V2))
[15] active(U45(tt,V2)) -> mark(U46(isNatIList(V2)))
[16] active(U46(tt)) -> mark(tt)
[17] active(U51(tt,V2)) -> mark(U52(isNatIListKind(V2)))
[18] active(U52(tt)) -> mark(tt)
[19] active(U61(tt)) -> mark(tt)
[20] active(U71(tt)) -> mark(tt)
[21] active(U81(tt,V1,V2)) -> mark(U82(isNatKind(V1),V1,V2))
[22] active(U82(tt,V1,V2)) -> mark(U83(isNatIListKind(V2),V1,V2))
[23] active(U83(tt,V1,V2)) -> mark(U84(isNatIListKind(V2),V1,V2))
[24] active(U84(tt,V1,V2)) -> mark(U85(isNat(V1),V2))
[25] active(U85(tt,V2)) -> mark(U86(isNatList(V2)))
[26] active(U86(tt)) -> mark(tt)
[27] active(U91(tt,L,N)) -> mark(U92(isNatIListKind(L),L,N))
[28] active(U92(tt,L,N)) -> mark(U93(isNat(N),L,N))
[29] active(U93(tt,L,N)) -> mark(U94(isNatKind(N),L))
[30] active(U94(tt,L)) -> mark(s(length(L)))
[31] active(isNat(0)) -> mark(tt)
[32] active(isNat(length(V1))) -> mark(U11(isNatIListKind(V1),V1))
[33] active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1))
[34] active(isNatIList(V)) -> mark(U31(isNatIListKind(V),V))
[35] active(isNatIList(zeros)) -> mark(tt)
[36] active(isNatIList(cons(V1,V2))) -> mark(U41(isNatKind(V1),V1,V2))
[37] active(isNatIListKind(nil)) -> mark(tt)
[38] active(isNatIListKind(zeros)) -> mark(tt)
[39] active(isNatIListKind(cons(V1,V2))) -> mark(U51(isNatKind(V1),V2))
[40] active(isNatKind(0)) -> mark(tt)
[41] active(isNatKind(length(V1))) -> mark(U61(isNatIListKind(V1)))
[42] active(isNatKind(s(V1))) -> mark(U71(isNatKind(V1)))
[43] active(isNatList(nil)) -> mark(tt)
[44] active(isNatList(cons(V1,V2))) -> mark(U81(isNatKind(V1),V1,V2))
[45] active(length(nil)) -> mark(0)
[46] active(length(cons(N,L))) -> mark(U91(isNatList(L),L,N))
[47] active(cons(X1,X2)) -> cons(active(X1),X2)
[48] active(U11(X1,X2)) -> U11(active(X1),X2)
[49] active(U12(X1,X2)) -> U12(active(X1),X2)
[50] active(U13(X)) -> U13(active(X))
[51] active(U21(X1,X2)) -> U21(active(X1),X2)
[52] active(U22(X1,X2)) -> U22(active(X1),X2)
[53] active(U23(X)) -> U23(active(X))
[54] active(U31(X1,X2)) -> U31(active(X1),X2)
[55] active(U32(X1,X2)) -> U32(active(X1),X2)
[56] active(U33(X)) -> U33(active(X))
[57] active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
[58] active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
[59] active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
[60] active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
[61] active(U45(X1,X2)) -> U45(active(X1),X2)
[62] active(U46(X)) -> U46(active(X))
[63] active(U51(X1,X2)) -> U51(active(X1),X2)
[64] active(U52(X)) -> U52(active(X))
[65] active(U61(X)) -> U61(active(X))
[66] active(U71(X)) -> U71(active(X))
[67] active(U81(X1,X2,X3)) -> U81(active(X1),X2,X3)
[68] active(U82(X1,X2,X3)) -> U82(active(X1),X2,X3)
[69] active(U83(X1,X2,X3)) -> U83(active(X1),X2,X3)
[70] active(U84(X1,X2,X3)) -> U84(active(X1),X2,X3)
[71] active(U85(X1,X2)) -> U85(active(X1),X2)
[72] active(U86(X)) -> U86(active(X))
[73] active(U91(X1,X2,X3)) -> U91(active(X1),X2,X3)
[74] active(U92(X1,X2,X3)) -> U92(active(X1),X2,X3)
[75] active(U93(X1,X2,X3)) -> U93(active(X1),X2,X3)
[76] active(U94(X1,X2)) -> U94(active(X1),X2)
[77] active(s(X)) -> s(active(X))
[78] active(length(X)) -> length(active(X))
[79] cons(mark(X1),X2) -> mark(cons(X1,X2))
[80] U11(mark(X1),X2) -> mark(U11(X1,X2))
[81] U12(mark(X1),X2) -> mark(U12(X1,X2))
[82] U13(mark(X)) -> mark(U13(X))
[83] U21(mark(X1),X2) -> mark(U21(X1,X2))
[84] U22(mark(X1),X2) -> mark(U22(X1,X2))
[85] U23(mark(X)) -> mark(U23(X))
[86] U31(mark(X1),X2) -> mark(U31(X1,X2))
[87] U32(mark(X1),X2) -> mark(U32(X1,X2))
[88] U33(mark(X)) -> mark(U33(X))
[89] U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
[90] U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
[91] U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
[92] U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
[93] U45(mark(X1),X2) -> mark(U45(X1,X2))
[94] U46(mark(X)) -> mark(U46(X))
[95] U51(mark(X1),X2) -> mark(U51(X1,X2))
[96] U52(mark(X)) -> mark(U52(X))
[97] U61(mark(X)) -> mark(U61(X))
[98] U71(mark(X)) -> mark(U71(X))
[99] U81(mark(X1),X2,X3) -> mark(U81(X1,X2,X3))
[100] U82(mark(X1),X2,X3) -> mark(U82(X1,X2,X3))
[101] U83(mark(X1),X2,X3) -> mark(U83(X1,X2,X3))
[102] U84(mark(X1),X2,X3) -> mark(U84(X1,X2,X3))
[103] U85(mark(X1),X2) -> mark(U85(X1,X2))
[104] U86(mark(X)) -> mark(U86(X))
[105] U91(mark(X1),X2,X3) -> mark(U91(X1,X2,X3))
[106] U92(mark(X1),X2,X3) -> mark(U92(X1,X2,X3))
[107] U93(mark(X1),X2,X3) -> mark(U93(X1,X2,X3))
[108] U94(mark(X1),X2) -> mark(U94(X1,X2))
[109] s(mark(X)) -> mark(s(X))
[110] length(mark(X)) -> mark(length(X))
[111] proper(zeros) -> ok(zeros)
[112] proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
[113] proper(0) -> ok(0)
[114] proper(U11(X1,X2)) -> U11(proper(X1),proper(X2))
[115] proper(tt) -> ok(tt)
[116] proper(U12(X1,X2)) -> U12(proper(X1),proper(X2))
[117] proper(isNatIListKind(X)) -> isNatIListKind(proper(X))
[118] proper(U13(X)) -> U13(proper(X))
[119] proper(isNatList(X)) -> isNatList(proper(X))
[120] proper(U21(X1,X2)) -> U21(proper(X1),proper(X2))
[121] proper(U22(X1,X2)) -> U22(proper(X1),proper(X2))
[122] proper(isNatKind(X)) -> isNatKind(proper(X))
[123] proper(U23(X)) -> U23(proper(X))
[124] proper(isNat(X)) -> isNat(proper(X))
[125] proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
[126] proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
[127] proper(U33(X)) -> U33(proper(X))
[128] proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
[129] proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
[130] proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
[131] proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
[132] proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
[133] proper(U46(X)) -> U46(proper(X))
[134] proper(isNatIList(X)) -> isNatIList(proper(X))
[135] proper(U51(X1,X2)) -> U51(proper(X1),proper(X2))
[136] proper(U52(X)) -> U52(proper(X))
[137] proper(U61(X)) -> U61(proper(X))
[138] proper(U71(X)) -> U71(proper(X))
[139] proper(U81(X1,X2,X3)) -> U81(proper(X1),proper(X2),proper(X3))
[140] proper(U82(X1,X2,X3)) -> U82(proper(X1),proper(X2),proper(X3))
[141] proper(U83(X1,X2,X3)) -> U83(proper(X1),proper(X2),proper(X3))
[142] proper(U84(X1,X2,X3)) -> U84(proper(X1),proper(X2),proper(X3))
[143] proper(U85(X1,X2)) -> U85(proper(X1),proper(X2))
[144] proper(U86(X)) -> U86(proper(X))
[145] proper(U91(X1,X2,X3)) -> U91(proper(X1),proper(X2),proper(X3))
[146] proper(U92(X1,X2,X3)) -> U92(proper(X1),proper(X2),proper(X3))
[147] proper(U93(X1,X2,X3)) -> U93(proper(X1),proper(X2),proper(X3))
[148] proper(U94(X1,X2)) -> U94(proper(X1),proper(X2))
[149] proper(s(X)) -> s(proper(X))
[150] proper(length(X)) -> length(proper(X))
[151] proper(nil) -> ok(nil)
[152] cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
[153] U11(ok(X1),ok(X2)) -> ok(U11(X1,X2))
[154] U12(ok(X1),ok(X2)) -> ok(U12(X1,X2))
[155] isNatIListKind(ok(X)) -> ok(isNatIListKind(X))
[156] U13(ok(X)) -> ok(U13(X))
[157] isNatList(ok(X)) -> ok(isNatList(X))
[158] U21(ok(X1),ok(X2)) -> ok(U21(X1,X2))
[159] U22(ok(X1),ok(X2)) -> ok(U22(X1,X2))
[160] isNatKind(ok(X)) -> ok(isNatKind(X))
[161] U23(ok(X)) -> ok(U23(X))
[162] isNat(ok(X)) -> ok(isNat(X))
[163] U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
[164] U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
[165] U33(ok(X)) -> ok(U33(X))
[166] U41(ok(X1),ok(X2),ok(X3)) -> ok(U41(X1,X2,X3))
[167] U42(ok(X1),ok(X2),ok(X3)) -> ok(U42(X1,X2,X3))
[168] U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
[169] U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
[170] U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
[171] U46(ok(X)) -> ok(U46(X))
[172] isNatIList(ok(X)) -> ok(isNatIList(X))
[173] U51(ok(X1),ok(X2)) -> ok(U51(X1,X2))
[174] U52(ok(X)) -> ok(U52(X))
[175] U61(ok(X)) -> ok(U61(X))
[176] U71(ok(X)) -> ok(U71(X))
[177] U81(ok(X1),ok(X2),ok(X3)) -> ok(U81(X1,X2,X3))
[178] U82(ok(X1),ok(X2),ok(X3)) -> ok(U82(X1,X2,X3))
[179] U83(ok(X1),ok(X2),ok(X3)) -> ok(U83(X1,X2,X3))
[180] U84(ok(X1),ok(X2),ok(X3)) -> ok(U84(X1,X2,X3))
[181] U85(ok(X1),ok(X2)) -> ok(U85(X1,X2))
[182] U86(ok(X)) -> ok(U86(X))
[183] U91(ok(X1),ok(X2),ok(X3)) -> ok(U91(X1,X2,X3))
[184] U92(ok(X1),ok(X2),ok(X3)) -> ok(U92(X1,X2,X3))
[185] U93(ok(X1),ok(X2),ok(X3)) -> ok(U93(X1,X2,X3))
[186] U94(ok(X1),ok(X2)) -> ok(U94(X1,X2))
[187] s(ok(X)) -> ok(s(X))
[188] length(ok(X)) -> ok(length(X))
[189] top(mark(X)) -> top(proper(X))
[190] top(ok(X)) -> top(active(X))


Sub problem: 
guided: 

DP termination of:
<Marked_active(zeros) , Marked_cons(0,zeros)>
<Marked_active(U11(tt,V1)) , Marked_U12(isNatIListKind(V1),V1)>
<Marked_active(U11(tt,V1)) , Marked_isNatIListKind(V1)>
<Marked_active(U12(tt,V1)) , Marked_U13(isNatList(V1))>
<Marked_active(U12(tt,V1)) , Marked_isNatList(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_U23(isNat(V1))>
<Marked_active(U22(tt,V1)) , Marked_isNat(V1)>
<Marked_active(U31(tt,V)) , Marked_U32(isNatIListKind(V),V)>
<Marked_active(U31(tt,V)) , Marked_isNatIListKind(V)>
<Marked_active(U32(tt,V)) , Marked_U33(isNatList(V))>
<Marked_active(U32(tt,V)) , Marked_isNatList(V)>
<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_U43(isNatIListKind(V2),V1,V2)>
<Marked_active(U42(tt,V1,V2)) , Marked_isNatIListKind(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_U45(isNat(V1),V2)>
<Marked_active(U44(tt,V1,V2)) , Marked_isNat(V1)>
<Marked_active(U45(tt,V2)) , Marked_U46(isNatIList(V2))>
<Marked_active(U45(tt,V2)) , Marked_isNatIList(V2)>
<Marked_active(U51(tt,V2)) , Marked_U52(isNatIListKind(V2))>
<Marked_active(U51(tt,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U81(tt,V1,V2)) , Marked_U82(isNatKind(V1),V1,V2)>
<Marked_active(U81(tt,V1,V2)) , Marked_isNatKind(V1)>
<Marked_active(U82(tt,V1,V2)) , Marked_U83(isNatIListKind(V2),V1,V2)>
<Marked_active(U82(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U83(tt,V1,V2)) , Marked_U84(isNatIListKind(V2),V1,V2)>
<Marked_active(U83(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U84(tt,V1,V2)) , Marked_U85(isNat(V1),V2)>
<Marked_active(U84(tt,V1,V2)) , Marked_isNat(V1)>
<Marked_active(U85(tt,V2)) , Marked_U86(isNatList(V2))>
<Marked_active(U85(tt,V2)) , Marked_isNatList(V2)>
<Marked_active(U91(tt,L,N)) , Marked_U92(isNatIListKind(L),L,N)>
<Marked_active(U91(tt,L,N)) , Marked_isNatIListKind(L)>
<Marked_active(U92(tt,L,N)) , Marked_U93(isNat(N),L,N)>
<Marked_active(U92(tt,L,N)) , Marked_isNat(N)>
<Marked_active(U93(tt,L,N)) , Marked_U94(isNatKind(N),L)>
<Marked_active(U93(tt,L,N)) , Marked_isNatKind(N)>
<Marked_active(U94(tt,L)) , Marked_s(length(L))>
<Marked_active(U94(tt,L)) , Marked_length(L)>
<Marked_active(isNat(length(V1))) , Marked_U11(isNatIListKind(V1),V1)>
<Marked_active(isNat(length(V1))) , Marked_isNatIListKind(V1)>
<Marked_active(isNat(s(V1))) , Marked_U21(isNatKind(V1),V1)>
<Marked_active(isNat(s(V1))) , Marked_isNatKind(V1)>
<Marked_active(isNatIList(V)) , Marked_U31(isNatIListKind(V),V)>
<Marked_active(isNatIList(V)) , Marked_isNatIListKind(V)>
<Marked_active(isNatIList(cons(V1,V2))) , Marked_U41(isNatKind(V1),V1,V2)>
<Marked_active(isNatIList(cons(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatIListKind(cons(V1,V2))) , Marked_U51(isNatKind(V1),V2)>
<Marked_active(isNatIListKind(cons(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatKind(length(V1))) , Marked_U61(isNatIListKind(V1))>
<Marked_active(isNatKind(length(V1))) , Marked_isNatIListKind(V1)>
<Marked_active(isNatKind(s(V1))) , Marked_U71(isNatKind(V1))>
<Marked_active(isNatKind(s(V1))) , Marked_isNatKind(V1)>
<Marked_active(isNatList(cons(V1,V2))) , Marked_U81(isNatKind(V1),V1,V2)>
<Marked_active(isNatList(cons(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(length(cons(N,L))) , Marked_U91(isNatList(L),L,N)>
<Marked_active(length(cons(N,L))) , Marked_isNatList(L)>
<Marked_active(cons(X1,X2)) , Marked_cons(active(X1),X2)>
<Marked_active(cons(X1,X2)) , Marked_active(X1)>
<Marked_active(U11(X1,X2)) , Marked_U11(active(X1),X2)>
<Marked_active(U11(X1,X2)) , Marked_active(X1)>
<Marked_active(U12(X1,X2)) , Marked_U12(active(X1),X2)>
<Marked_active(U12(X1,X2)) , Marked_active(X1)>
<Marked_active(U13(X)) , Marked_U13(active(X))>
<Marked_active(U13(X)) , Marked_active(X)>
<Marked_active(U21(X1,X2)) , Marked_U21(active(X1),X2)>
<Marked_active(U21(X1,X2)) , Marked_active(X1)>
<Marked_active(U22(X1,X2)) , Marked_U22(active(X1),X2)>
<Marked_active(U22(X1,X2)) , Marked_active(X1)>
<Marked_active(U23(X)) , Marked_U23(active(X))>
<Marked_active(U23(X)) , Marked_active(X)>
<Marked_active(U31(X1,X2)) , Marked_U31(active(X1),X2)>
<Marked_active(U31(X1,X2)) , Marked_active(X1)>
<Marked_active(U32(X1,X2)) , Marked_U32(active(X1),X2)>
<Marked_active(U32(X1,X2)) , Marked_active(X1)>
<Marked_active(U33(X)) , Marked_U33(active(X))>
<Marked_active(U33(X)) , Marked_active(X)>
<Marked_active(U41(X1,X2,X3)) , Marked_U41(active(X1),X2,X3)>
<Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U42(X1,X2,X3)) , Marked_U42(active(X1),X2,X3)>
<Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U43(X1,X2,X3)) , Marked_U43(active(X1),X2,X3)>
<Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U44(X1,X2,X3)) , Marked_U44(active(X1),X2,X3)>
<Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U45(X1,X2)) , Marked_U45(active(X1),X2)>
<Marked_active(U45(X1,X2)) , Marked_active(X1)>
<Marked_active(U46(X)) , Marked_U46(active(X))>
<Marked_active(U46(X)) , Marked_active(X)>
<Marked_active(U51(X1,X2)) , Marked_U51(active(X1),X2)>
<Marked_active(U51(X1,X2)) , Marked_active(X1)>
<Marked_active(U52(X)) , Marked_U52(active(X))>
<Marked_active(U52(X)) , Marked_active(X)>
<Marked_active(U61(X)) , Marked_U61(active(X))>
<Marked_active(U61(X)) , Marked_active(X)>
<Marked_active(U71(X)) , Marked_U71(active(X))>
<Marked_active(U71(X)) , Marked_active(X)>
<Marked_active(U81(X1,X2,X3)) , Marked_U81(active(X1),X2,X3)>
<Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U82(X1,X2,X3)) , Marked_U82(active(X1),X2,X3)>
<Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U83(X1,X2,X3)) , Marked_U83(active(X1),X2,X3)>
<Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U84(X1,X2,X3)) , Marked_U84(active(X1),X2,X3)>
<Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U85(X1,X2)) , Marked_U85(active(X1),X2)>
<Marked_active(U85(X1,X2)) , Marked_active(X1)>
<Marked_active(U86(X)) , Marked_U86(active(X))>
<Marked_active(U86(X)) , Marked_active(X)>
<Marked_active(U91(X1,X2,X3)) , Marked_U91(active(X1),X2,X3)>
<Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U92(X1,X2,X3)) , Marked_U92(active(X1),X2,X3)>
<Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U93(X1,X2,X3)) , Marked_U93(active(X1),X2,X3)>
<Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U94(X1,X2)) , Marked_U94(active(X1),X2)>
<Marked_active(U94(X1,X2)) , Marked_active(X1)>
<Marked_active(s(X)) , Marked_s(active(X))>
<Marked_active(s(X)) , Marked_active(X)>
<Marked_active(length(X)) , Marked_length(active(X))>
<Marked_active(length(X)) , Marked_active(X)>
<Marked_cons(mark(X1),X2) , Marked_cons(X1,X2)>
<Marked_U11(mark(X1),X2) , Marked_U11(X1,X2)>
<Marked_U12(mark(X1),X2) , Marked_U12(X1,X2)>
<Marked_U13(mark(X)) , Marked_U13(X)>
<Marked_U21(mark(X1),X2) , Marked_U21(X1,X2)>
<Marked_U22(mark(X1),X2) , Marked_U22(X1,X2)>
<Marked_U23(mark(X)) , Marked_U23(X)>
<Marked_U31(mark(X1),X2) , Marked_U31(X1,X2)>
<Marked_U32(mark(X1),X2) , Marked_U32(X1,X2)>
<Marked_U33(mark(X)) , Marked_U33(X)>
<Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)>
<Marked_U42(mark(X1),X2,X3) , Marked_U42(X1,X2,X3)>
<Marked_U43(mark(X1),X2,X3) , Marked_U43(X1,X2,X3)>
<Marked_U44(mark(X1),X2,X3) , Marked_U44(X1,X2,X3)>
<Marked_U45(mark(X1),X2) , Marked_U45(X1,X2)>
<Marked_U46(mark(X)) , Marked_U46(X)>
<Marked_U51(mark(X1),X2) , Marked_U51(X1,X2)>
<Marked_U52(mark(X)) , Marked_U52(X)>
<Marked_U61(mark(X)) , Marked_U61(X)>
<Marked_U71(mark(X)) , Marked_U71(X)>
<Marked_U81(mark(X1),X2,X3) , Marked_U81(X1,X2,X3)>
<Marked_U82(mark(X1),X2,X3) , Marked_U82(X1,X2,X3)>
<Marked_U83(mark(X1),X2,X3) , Marked_U83(X1,X2,X3)>
<Marked_U84(mark(X1),X2,X3) , Marked_U84(X1,X2,X3)>
<Marked_U85(mark(X1),X2) , Marked_U85(X1,X2)>
<Marked_U86(mark(X)) , Marked_U86(X)>
<Marked_U91(mark(X1),X2,X3) , Marked_U91(X1,X2,X3)>
<Marked_U92(mark(X1),X2,X3) , Marked_U92(X1,X2,X3)>
<Marked_U93(mark(X1),X2,X3) , Marked_U93(X1,X2,X3)>
<Marked_U94(mark(X1),X2) , Marked_U94(X1,X2)>
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_length(mark(X)) , Marked_length(X)>
<Marked_proper(cons(X1,X2)) , Marked_cons(proper(X1),proper(X2))>
<Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
<Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U11(X1,X2)) , Marked_U11(proper(X1),proper(X2))>
<Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U12(X1,X2)) , Marked_U12(proper(X1),proper(X2))>
<Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
<Marked_proper(isNatIListKind(X)) , Marked_isNatIListKind(proper(X))>
<Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
<Marked_proper(U13(X)) , Marked_U13(proper(X))>
<Marked_proper(U13(X)) , Marked_proper(X)>
<Marked_proper(isNatList(X)) , Marked_isNatList(proper(X))>
<Marked_proper(isNatList(X)) , Marked_proper(X)>
<Marked_proper(U21(X1,X2)) , Marked_U21(proper(X1),proper(X2))>
<Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U22(X1,X2)) , Marked_U22(proper(X1),proper(X2))>
<Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
<Marked_proper(isNatKind(X)) , Marked_isNatKind(proper(X))>
<Marked_proper(isNatKind(X)) , Marked_proper(X)>
<Marked_proper(U23(X)) , Marked_U23(proper(X))>
<Marked_proper(U23(X)) , Marked_proper(X)>
<Marked_proper(isNat(X)) , Marked_isNat(proper(X))>
<Marked_proper(isNat(X)) , Marked_proper(X)>
<Marked_proper(U31(X1,X2)) , Marked_U31(proper(X1),proper(X2))>
<Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U32(X1,X2)) , Marked_U32(proper(X1),proper(X2))>
<Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U33(X)) , Marked_U33(proper(X))>
<Marked_proper(U33(X)) , Marked_proper(X)>
<Marked_proper(U41(X1,X2,X3)) , Marked_U41(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U42(X1,X2,X3)) , Marked_U42(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U43(X1,X2,X3)) , Marked_U43(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U44(X1,X2,X3)) , Marked_U44(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U45(X1,X2)) , Marked_U45(proper(X1),proper(X2))>
<Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U46(X)) , Marked_U46(proper(X))>
<Marked_proper(U46(X)) , Marked_proper(X)>
<Marked_proper(isNatIList(X)) , Marked_isNatIList(proper(X))>
<Marked_proper(isNatIList(X)) , Marked_proper(X)>
<Marked_proper(U51(X1,X2)) , Marked_U51(proper(X1),proper(X2))>
<Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U52(X)) , Marked_U52(proper(X))>
<Marked_proper(U52(X)) , Marked_proper(X)>
<Marked_proper(U61(X)) , Marked_U61(proper(X))>
<Marked_proper(U61(X)) , Marked_proper(X)>
<Marked_proper(U71(X)) , Marked_U71(proper(X))>
<Marked_proper(U71(X)) , Marked_proper(X)>
<Marked_proper(U81(X1,X2,X3)) , Marked_U81(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U82(X1,X2,X3)) , Marked_U82(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U83(X1,X2,X3)) , Marked_U83(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U84(X1,X2,X3)) , Marked_U84(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U85(X1,X2)) , Marked_U85(proper(X1),proper(X2))>
<Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U86(X)) , Marked_U86(proper(X))>
<Marked_proper(U86(X)) , Marked_proper(X)>
<Marked_proper(U91(X1,X2,X3)) , Marked_U91(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U92(X1,X2,X3)) , Marked_U92(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U93(X1,X2,X3)) , Marked_U93(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U94(X1,X2)) , Marked_U94(proper(X1),proper(X2))>
<Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
<Marked_proper(s(X)) , Marked_s(proper(X))>
<Marked_proper(s(X)) , Marked_proper(X)>
<Marked_proper(length(X)) , Marked_length(proper(X))>
<Marked_proper(length(X)) , Marked_proper(X)>
<Marked_cons(ok(X1),ok(X2)) , Marked_cons(X1,X2)>
<Marked_U11(ok(X1),ok(X2)) , Marked_U11(X1,X2)>
<Marked_U12(ok(X1),ok(X2)) , Marked_U12(X1,X2)>
<Marked_isNatIListKind(ok(X)) , Marked_isNatIListKind(X)>
<Marked_U13(ok(X)) , Marked_U13(X)>
<Marked_isNatList(ok(X)) , Marked_isNatList(X)>
<Marked_U21(ok(X1),ok(X2)) , Marked_U21(X1,X2)>
<Marked_U22(ok(X1),ok(X2)) , Marked_U22(X1,X2)>
<Marked_isNatKind(ok(X)) , Marked_isNatKind(X)>
<Marked_U23(ok(X)) , Marked_U23(X)>
<Marked_isNat(ok(X)) , Marked_isNat(X)>
<Marked_U31(ok(X1),ok(X2)) , Marked_U31(X1,X2)>
<Marked_U32(ok(X1),ok(X2)) , Marked_U32(X1,X2)>
<Marked_U33(ok(X)) , Marked_U33(X)>
<Marked_U41(ok(X1),ok(X2),ok(X3)) , Marked_U41(X1,X2,X3)>
<Marked_U42(ok(X1),ok(X2),ok(X3)) , Marked_U42(X1,X2,X3)>
<Marked_U43(ok(X1),ok(X2),ok(X3)) , Marked_U43(X1,X2,X3)>
<Marked_U44(ok(X1),ok(X2),ok(X3)) , Marked_U44(X1,X2,X3)>
<Marked_U45(ok(X1),ok(X2)) , Marked_U45(X1,X2)>
<Marked_U46(ok(X)) , Marked_U46(X)>
<Marked_isNatIList(ok(X)) , Marked_isNatIList(X)>
<Marked_U51(ok(X1),ok(X2)) , Marked_U51(X1,X2)>
<Marked_U52(ok(X)) , Marked_U52(X)>
<Marked_U61(ok(X)) , Marked_U61(X)>
<Marked_U71(ok(X)) , Marked_U71(X)>
<Marked_U81(ok(X1),ok(X2),ok(X3)) , Marked_U81(X1,X2,X3)>
<Marked_U82(ok(X1),ok(X2),ok(X3)) , Marked_U82(X1,X2,X3)>
<Marked_U83(ok(X1),ok(X2),ok(X3)) , Marked_U83(X1,X2,X3)>
<Marked_U84(ok(X1),ok(X2),ok(X3)) , Marked_U84(X1,X2,X3)>
<Marked_U85(ok(X1),ok(X2)) , Marked_U85(X1,X2)>
<Marked_U86(ok(X)) , Marked_U86(X)>
<Marked_U91(ok(X1),ok(X2),ok(X3)) , Marked_U91(X1,X2,X3)>
<Marked_U92(ok(X1),ok(X2),ok(X3)) , Marked_U92(X1,X2,X3)>
<Marked_U93(ok(X1),ok(X2),ok(X3)) , Marked_U93(X1,X2,X3)>
<Marked_U94(ok(X1),ok(X2)) , Marked_U94(X1,X2)>
<Marked_s(ok(X)) , Marked_s(X)>
<Marked_length(ok(X)) , Marked_length(X)>
<Marked_top(mark(X)) , Marked_top(proper(X))>
<Marked_top(mark(X)) , Marked_proper(X)>
<Marked_top(ok(X)) , Marked_top(active(X))>
<Marked_top(ok(X)) , Marked_active(X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 40 components:

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

{  <Marked_proper(length(X)) , Marked_proper(X)> 
      --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U86(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U85(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U86(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U85(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
}

{  <Marked_active(length(X)) , Marked_active(X)> 
      --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U86(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U85(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U86(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U85(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
}

{  <Marked_isNatIList(ok(X)) , Marked_isNatIList(X)> 
      --> <Marked_isNatIList(ok(X)) , Marked_isNatIList(X)>
}

{  <Marked_isNat(ok(X)) , Marked_isNat(X)> 
      --> <Marked_isNat(ok(X)) , Marked_isNat(X)>
}

{  <Marked_isNatIListKind(ok(X)) , Marked_isNatIListKind(X)> 
      --> <Marked_isNatIListKind(ok(X)) , Marked_isNatIListKind(X)>
}

{  <Marked_isNatKind(ok(X)) , Marked_isNatKind(X)> 
      --> <Marked_isNatKind(ok(X)) , Marked_isNatKind(X)>
}

{  <Marked_isNatList(ok(X)) , Marked_isNatList(X)> 
      --> <Marked_isNatList(ok(X)) , Marked_isNatList(X)>
}

{  <Marked_cons(ok(X1),ok(X2)) , Marked_cons(X1,X2)> 
      --> <Marked_cons(ok(X1),ok(X2)) , Marked_cons(X1,X2)>
  <Marked_cons(ok(X1),ok(X2)) , Marked_cons(X1,X2)> 
     --> <Marked_cons(mark(X1),X2) , Marked_cons(X1,X2)>
  <Marked_cons(mark(X1),X2) , Marked_cons(X1,X2)> 
     --> <Marked_cons(ok(X1),ok(X2)) , Marked_cons(X1,X2)>
  <Marked_cons(mark(X1),X2) , Marked_cons(X1,X2)> 
     --> <Marked_cons(mark(X1),X2) , Marked_cons(X1,X2)>
}

{  <Marked_U11(ok(X1),ok(X2)) , Marked_U11(X1,X2)> 
      --> <Marked_U11(ok(X1),ok(X2)) , Marked_U11(X1,X2)>
  <Marked_U11(ok(X1),ok(X2)) , Marked_U11(X1,X2)> 
     --> <Marked_U11(mark(X1),X2) , Marked_U11(X1,X2)>
  <Marked_U11(mark(X1),X2) , Marked_U11(X1,X2)> 
     --> <Marked_U11(ok(X1),ok(X2)) , Marked_U11(X1,X2)>
  <Marked_U11(mark(X1),X2) , Marked_U11(X1,X2)> 
     --> <Marked_U11(mark(X1),X2) , Marked_U11(X1,X2)>
}

{  <Marked_U12(ok(X1),ok(X2)) , Marked_U12(X1,X2)> 
      --> <Marked_U12(ok(X1),ok(X2)) , Marked_U12(X1,X2)>
  <Marked_U12(ok(X1),ok(X2)) , Marked_U12(X1,X2)> 
     --> <Marked_U12(mark(X1),X2) , Marked_U12(X1,X2)>
  <Marked_U12(mark(X1),X2) , Marked_U12(X1,X2)> 
     --> <Marked_U12(ok(X1),ok(X2)) , Marked_U12(X1,X2)>
  <Marked_U12(mark(X1),X2) , Marked_U12(X1,X2)> 
     --> <Marked_U12(mark(X1),X2) , Marked_U12(X1,X2)>
}

{  <Marked_U13(ok(X)) , Marked_U13(X)> --> <Marked_U13(ok(X)) , Marked_U13(X)>
  <Marked_U13(ok(X)) , Marked_U13(X)> --> <Marked_U13(mark(X)) , Marked_U13(X)>
  <Marked_U13(mark(X)) , Marked_U13(X)> --> <Marked_U13(ok(X)) , Marked_U13(X)>
  <Marked_U13(mark(X)) , Marked_U13(X)> 
     --> <Marked_U13(mark(X)) , Marked_U13(X)>
}

{  <Marked_U21(ok(X1),ok(X2)) , Marked_U21(X1,X2)> 
      --> <Marked_U21(ok(X1),ok(X2)) , Marked_U21(X1,X2)>
  <Marked_U21(ok(X1),ok(X2)) , Marked_U21(X1,X2)> 
     --> <Marked_U21(mark(X1),X2) , Marked_U21(X1,X2)>
  <Marked_U21(mark(X1),X2) , Marked_U21(X1,X2)> 
     --> <Marked_U21(ok(X1),ok(X2)) , Marked_U21(X1,X2)>
  <Marked_U21(mark(X1),X2) , Marked_U21(X1,X2)> 
     --> <Marked_U21(mark(X1),X2) , Marked_U21(X1,X2)>
}

{  <Marked_U22(ok(X1),ok(X2)) , Marked_U22(X1,X2)> 
      --> <Marked_U22(ok(X1),ok(X2)) , Marked_U22(X1,X2)>
  <Marked_U22(ok(X1),ok(X2)) , Marked_U22(X1,X2)> 
     --> <Marked_U22(mark(X1),X2) , Marked_U22(X1,X2)>
  <Marked_U22(mark(X1),X2) , Marked_U22(X1,X2)> 
     --> <Marked_U22(ok(X1),ok(X2)) , Marked_U22(X1,X2)>
  <Marked_U22(mark(X1),X2) , Marked_U22(X1,X2)> 
     --> <Marked_U22(mark(X1),X2) , Marked_U22(X1,X2)>
}

{  <Marked_U23(ok(X)) , Marked_U23(X)> --> <Marked_U23(ok(X)) , Marked_U23(X)>
  <Marked_U23(ok(X)) , Marked_U23(X)> --> <Marked_U23(mark(X)) , Marked_U23(X)>
  <Marked_U23(mark(X)) , Marked_U23(X)> --> <Marked_U23(ok(X)) , Marked_U23(X)>
  <Marked_U23(mark(X)) , Marked_U23(X)> 
     --> <Marked_U23(mark(X)) , Marked_U23(X)>
}

{  <Marked_U31(ok(X1),ok(X2)) , Marked_U31(X1,X2)> 
      --> <Marked_U31(ok(X1),ok(X2)) , Marked_U31(X1,X2)>
  <Marked_U31(ok(X1),ok(X2)) , Marked_U31(X1,X2)> 
     --> <Marked_U31(mark(X1),X2) , Marked_U31(X1,X2)>
  <Marked_U31(mark(X1),X2) , Marked_U31(X1,X2)> 
     --> <Marked_U31(ok(X1),ok(X2)) , Marked_U31(X1,X2)>
  <Marked_U31(mark(X1),X2) , Marked_U31(X1,X2)> 
     --> <Marked_U31(mark(X1),X2) , Marked_U31(X1,X2)>
}

{  <Marked_U32(ok(X1),ok(X2)) , Marked_U32(X1,X2)> 
      --> <Marked_U32(ok(X1),ok(X2)) , Marked_U32(X1,X2)>
  <Marked_U32(ok(X1),ok(X2)) , Marked_U32(X1,X2)> 
     --> <Marked_U32(mark(X1),X2) , Marked_U32(X1,X2)>
  <Marked_U32(mark(X1),X2) , Marked_U32(X1,X2)> 
     --> <Marked_U32(ok(X1),ok(X2)) , Marked_U32(X1,X2)>
  <Marked_U32(mark(X1),X2) , Marked_U32(X1,X2)> 
     --> <Marked_U32(mark(X1),X2) , Marked_U32(X1,X2)>
}

{  <Marked_U33(ok(X)) , Marked_U33(X)> --> <Marked_U33(ok(X)) , Marked_U33(X)>
  <Marked_U33(ok(X)) , Marked_U33(X)> --> <Marked_U33(mark(X)) , Marked_U33(X)>
  <Marked_U33(mark(X)) , Marked_U33(X)> --> <Marked_U33(ok(X)) , Marked_U33(X)>
  <Marked_U33(mark(X)) , Marked_U33(X)> 
     --> <Marked_U33(mark(X)) , Marked_U33(X)>
}

{  <Marked_U41(ok(X1),ok(X2),ok(X3)) , Marked_U41(X1,X2,X3)> 
      --> <Marked_U41(ok(X1),ok(X2),ok(X3)) , Marked_U41(X1,X2,X3)>
  <Marked_U41(ok(X1),ok(X2),ok(X3)) , Marked_U41(X1,X2,X3)> 
     --> <Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)>
  <Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)> 
     --> <Marked_U41(ok(X1),ok(X2),ok(X3)) , Marked_U41(X1,X2,X3)>
  <Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)> 
     --> <Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)>
}

{  <Marked_U42(ok(X1),ok(X2),ok(X3)) , Marked_U42(X1,X2,X3)> 
      --> <Marked_U42(ok(X1),ok(X2),ok(X3)) , Marked_U42(X1,X2,X3)>
  <Marked_U42(ok(X1),ok(X2),ok(X3)) , Marked_U42(X1,X2,X3)> 
     --> <Marked_U42(mark(X1),X2,X3) , Marked_U42(X1,X2,X3)>
  <Marked_U42(mark(X1),X2,X3) , Marked_U42(X1,X2,X3)> 
     --> <Marked_U42(ok(X1),ok(X2),ok(X3)) , Marked_U42(X1,X2,X3)>
  <Marked_U42(mark(X1),X2,X3) , Marked_U42(X1,X2,X3)> 
     --> <Marked_U42(mark(X1),X2,X3) , Marked_U42(X1,X2,X3)>
}

{  <Marked_U43(ok(X1),ok(X2),ok(X3)) , Marked_U43(X1,X2,X3)> 
      --> <Marked_U43(ok(X1),ok(X2),ok(X3)) , Marked_U43(X1,X2,X3)>
  <Marked_U43(ok(X1),ok(X2),ok(X3)) , Marked_U43(X1,X2,X3)> 
     --> <Marked_U43(mark(X1),X2,X3) , Marked_U43(X1,X2,X3)>
  <Marked_U43(mark(X1),X2,X3) , Marked_U43(X1,X2,X3)> 
     --> <Marked_U43(ok(X1),ok(X2),ok(X3)) , Marked_U43(X1,X2,X3)>
  <Marked_U43(mark(X1),X2,X3) , Marked_U43(X1,X2,X3)> 
     --> <Marked_U43(mark(X1),X2,X3) , Marked_U43(X1,X2,X3)>
}

{  <Marked_U44(ok(X1),ok(X2),ok(X3)) , Marked_U44(X1,X2,X3)> 
      --> <Marked_U44(ok(X1),ok(X2),ok(X3)) , Marked_U44(X1,X2,X3)>
  <Marked_U44(ok(X1),ok(X2),ok(X3)) , Marked_U44(X1,X2,X3)> 
     --> <Marked_U44(mark(X1),X2,X3) , Marked_U44(X1,X2,X3)>
  <Marked_U44(mark(X1),X2,X3) , Marked_U44(X1,X2,X3)> 
     --> <Marked_U44(ok(X1),ok(X2),ok(X3)) , Marked_U44(X1,X2,X3)>
  <Marked_U44(mark(X1),X2,X3) , Marked_U44(X1,X2,X3)> 
     --> <Marked_U44(mark(X1),X2,X3) , Marked_U44(X1,X2,X3)>
}

{  <Marked_U45(ok(X1),ok(X2)) , Marked_U45(X1,X2)> 
      --> <Marked_U45(ok(X1),ok(X2)) , Marked_U45(X1,X2)>
  <Marked_U45(ok(X1),ok(X2)) , Marked_U45(X1,X2)> 
     --> <Marked_U45(mark(X1),X2) , Marked_U45(X1,X2)>
  <Marked_U45(mark(X1),X2) , Marked_U45(X1,X2)> 
     --> <Marked_U45(ok(X1),ok(X2)) , Marked_U45(X1,X2)>
  <Marked_U45(mark(X1),X2) , Marked_U45(X1,X2)> 
     --> <Marked_U45(mark(X1),X2) , Marked_U45(X1,X2)>
}

{  <Marked_U46(ok(X)) , Marked_U46(X)> --> <Marked_U46(ok(X)) , Marked_U46(X)>
  <Marked_U46(ok(X)) , Marked_U46(X)> --> <Marked_U46(mark(X)) , Marked_U46(X)>
  <Marked_U46(mark(X)) , Marked_U46(X)> --> <Marked_U46(ok(X)) , Marked_U46(X)>
  <Marked_U46(mark(X)) , Marked_U46(X)> 
     --> <Marked_U46(mark(X)) , Marked_U46(X)>
}

{  <Marked_U51(ok(X1),ok(X2)) , Marked_U51(X1,X2)> 
      --> <Marked_U51(ok(X1),ok(X2)) , Marked_U51(X1,X2)>
  <Marked_U51(ok(X1),ok(X2)) , Marked_U51(X1,X2)> 
     --> <Marked_U51(mark(X1),X2) , Marked_U51(X1,X2)>
  <Marked_U51(mark(X1),X2) , Marked_U51(X1,X2)> 
     --> <Marked_U51(ok(X1),ok(X2)) , Marked_U51(X1,X2)>
  <Marked_U51(mark(X1),X2) , Marked_U51(X1,X2)> 
     --> <Marked_U51(mark(X1),X2) , Marked_U51(X1,X2)>
}

{  <Marked_U52(ok(X)) , Marked_U52(X)> --> <Marked_U52(ok(X)) , Marked_U52(X)>
  <Marked_U52(ok(X)) , Marked_U52(X)> --> <Marked_U52(mark(X)) , Marked_U52(X)>
  <Marked_U52(mark(X)) , Marked_U52(X)> --> <Marked_U52(ok(X)) , Marked_U52(X)>
  <Marked_U52(mark(X)) , Marked_U52(X)> 
     --> <Marked_U52(mark(X)) , Marked_U52(X)>
}

{  <Marked_U61(ok(X)) , Marked_U61(X)> --> <Marked_U61(ok(X)) , Marked_U61(X)>
  <Marked_U61(ok(X)) , Marked_U61(X)> --> <Marked_U61(mark(X)) , Marked_U61(X)>
  <Marked_U61(mark(X)) , Marked_U61(X)> --> <Marked_U61(ok(X)) , Marked_U61(X)>
  <Marked_U61(mark(X)) , Marked_U61(X)> 
     --> <Marked_U61(mark(X)) , Marked_U61(X)>
}

{  <Marked_U71(ok(X)) , Marked_U71(X)> --> <Marked_U71(ok(X)) , Marked_U71(X)>
  <Marked_U71(ok(X)) , Marked_U71(X)> --> <Marked_U71(mark(X)) , Marked_U71(X)>
  <Marked_U71(mark(X)) , Marked_U71(X)> --> <Marked_U71(ok(X)) , Marked_U71(X)>
  <Marked_U71(mark(X)) , Marked_U71(X)> 
     --> <Marked_U71(mark(X)) , Marked_U71(X)>
}

{  <Marked_U81(ok(X1),ok(X2),ok(X3)) , Marked_U81(X1,X2,X3)> 
      --> <Marked_U81(ok(X1),ok(X2),ok(X3)) , Marked_U81(X1,X2,X3)>
  <Marked_U81(ok(X1),ok(X2),ok(X3)) , Marked_U81(X1,X2,X3)> 
     --> <Marked_U81(mark(X1),X2,X3) , Marked_U81(X1,X2,X3)>
  <Marked_U81(mark(X1),X2,X3) , Marked_U81(X1,X2,X3)> 
     --> <Marked_U81(ok(X1),ok(X2),ok(X3)) , Marked_U81(X1,X2,X3)>
  <Marked_U81(mark(X1),X2,X3) , Marked_U81(X1,X2,X3)> 
     --> <Marked_U81(mark(X1),X2,X3) , Marked_U81(X1,X2,X3)>
}

{  <Marked_U82(ok(X1),ok(X2),ok(X3)) , Marked_U82(X1,X2,X3)> 
      --> <Marked_U82(ok(X1),ok(X2),ok(X3)) , Marked_U82(X1,X2,X3)>
  <Marked_U82(ok(X1),ok(X2),ok(X3)) , Marked_U82(X1,X2,X3)> 
     --> <Marked_U82(mark(X1),X2,X3) , Marked_U82(X1,X2,X3)>
  <Marked_U82(mark(X1),X2,X3) , Marked_U82(X1,X2,X3)> 
     --> <Marked_U82(ok(X1),ok(X2),ok(X3)) , Marked_U82(X1,X2,X3)>
  <Marked_U82(mark(X1),X2,X3) , Marked_U82(X1,X2,X3)> 
     --> <Marked_U82(mark(X1),X2,X3) , Marked_U82(X1,X2,X3)>
}

{  <Marked_U83(ok(X1),ok(X2),ok(X3)) , Marked_U83(X1,X2,X3)> 
      --> <Marked_U83(ok(X1),ok(X2),ok(X3)) , Marked_U83(X1,X2,X3)>
  <Marked_U83(ok(X1),ok(X2),ok(X3)) , Marked_U83(X1,X2,X3)> 
     --> <Marked_U83(mark(X1),X2,X3) , Marked_U83(X1,X2,X3)>
  <Marked_U83(mark(X1),X2,X3) , Marked_U83(X1,X2,X3)> 
     --> <Marked_U83(ok(X1),ok(X2),ok(X3)) , Marked_U83(X1,X2,X3)>
  <Marked_U83(mark(X1),X2,X3) , Marked_U83(X1,X2,X3)> 
     --> <Marked_U83(mark(X1),X2,X3) , Marked_U83(X1,X2,X3)>
}

{  <Marked_U84(ok(X1),ok(X2),ok(X3)) , Marked_U84(X1,X2,X3)> 
      --> <Marked_U84(ok(X1),ok(X2),ok(X3)) , Marked_U84(X1,X2,X3)>
  <Marked_U84(ok(X1),ok(X2),ok(X3)) , Marked_U84(X1,X2,X3)> 
     --> <Marked_U84(mark(X1),X2,X3) , Marked_U84(X1,X2,X3)>
  <Marked_U84(mark(X1),X2,X3) , Marked_U84(X1,X2,X3)> 
     --> <Marked_U84(ok(X1),ok(X2),ok(X3)) , Marked_U84(X1,X2,X3)>
  <Marked_U84(mark(X1),X2,X3) , Marked_U84(X1,X2,X3)> 
     --> <Marked_U84(mark(X1),X2,X3) , Marked_U84(X1,X2,X3)>
}

{  <Marked_U85(ok(X1),ok(X2)) , Marked_U85(X1,X2)> 
      --> <Marked_U85(ok(X1),ok(X2)) , Marked_U85(X1,X2)>
  <Marked_U85(ok(X1),ok(X2)) , Marked_U85(X1,X2)> 
     --> <Marked_U85(mark(X1),X2) , Marked_U85(X1,X2)>
  <Marked_U85(mark(X1),X2) , Marked_U85(X1,X2)> 
     --> <Marked_U85(ok(X1),ok(X2)) , Marked_U85(X1,X2)>
  <Marked_U85(mark(X1),X2) , Marked_U85(X1,X2)> 
     --> <Marked_U85(mark(X1),X2) , Marked_U85(X1,X2)>
}

{  <Marked_U86(ok(X)) , Marked_U86(X)> --> <Marked_U86(ok(X)) , Marked_U86(X)>
  <Marked_U86(ok(X)) , Marked_U86(X)> --> <Marked_U86(mark(X)) , Marked_U86(X)>
  <Marked_U86(mark(X)) , Marked_U86(X)> --> <Marked_U86(ok(X)) , Marked_U86(X)>
  <Marked_U86(mark(X)) , Marked_U86(X)> 
     --> <Marked_U86(mark(X)) , Marked_U86(X)>
}

{  <Marked_U91(ok(X1),ok(X2),ok(X3)) , Marked_U91(X1,X2,X3)> 
      --> <Marked_U91(ok(X1),ok(X2),ok(X3)) , Marked_U91(X1,X2,X3)>
  <Marked_U91(ok(X1),ok(X2),ok(X3)) , Marked_U91(X1,X2,X3)> 
     --> <Marked_U91(mark(X1),X2,X3) , Marked_U91(X1,X2,X3)>
  <Marked_U91(mark(X1),X2,X3) , Marked_U91(X1,X2,X3)> 
     --> <Marked_U91(ok(X1),ok(X2),ok(X3)) , Marked_U91(X1,X2,X3)>
  <Marked_U91(mark(X1),X2,X3) , Marked_U91(X1,X2,X3)> 
     --> <Marked_U91(mark(X1),X2,X3) , Marked_U91(X1,X2,X3)>
}

{  <Marked_U92(ok(X1),ok(X2),ok(X3)) , Marked_U92(X1,X2,X3)> 
      --> <Marked_U92(ok(X1),ok(X2),ok(X3)) , Marked_U92(X1,X2,X3)>
  <Marked_U92(ok(X1),ok(X2),ok(X3)) , Marked_U92(X1,X2,X3)> 
     --> <Marked_U92(mark(X1),X2,X3) , Marked_U92(X1,X2,X3)>
  <Marked_U92(mark(X1),X2,X3) , Marked_U92(X1,X2,X3)> 
     --> <Marked_U92(ok(X1),ok(X2),ok(X3)) , Marked_U92(X1,X2,X3)>
  <Marked_U92(mark(X1),X2,X3) , Marked_U92(X1,X2,X3)> 
     --> <Marked_U92(mark(X1),X2,X3) , Marked_U92(X1,X2,X3)>
}

{  <Marked_U93(ok(X1),ok(X2),ok(X3)) , Marked_U93(X1,X2,X3)> 
      --> <Marked_U93(ok(X1),ok(X2),ok(X3)) , Marked_U93(X1,X2,X3)>
  <Marked_U93(ok(X1),ok(X2),ok(X3)) , Marked_U93(X1,X2,X3)> 
     --> <Marked_U93(mark(X1),X2,X3) , Marked_U93(X1,X2,X3)>
  <Marked_U93(mark(X1),X2,X3) , Marked_U93(X1,X2,X3)> 
     --> <Marked_U93(ok(X1),ok(X2),ok(X3)) , Marked_U93(X1,X2,X3)>
  <Marked_U93(mark(X1),X2,X3) , Marked_U93(X1,X2,X3)> 
     --> <Marked_U93(mark(X1),X2,X3) , Marked_U93(X1,X2,X3)>
}

{  <Marked_U94(ok(X1),ok(X2)) , Marked_U94(X1,X2)> 
      --> <Marked_U94(ok(X1),ok(X2)) , Marked_U94(X1,X2)>
  <Marked_U94(ok(X1),ok(X2)) , Marked_U94(X1,X2)> 
     --> <Marked_U94(mark(X1),X2) , Marked_U94(X1,X2)>
  <Marked_U94(mark(X1),X2) , Marked_U94(X1,X2)> 
     --> <Marked_U94(ok(X1),ok(X2)) , Marked_U94(X1,X2)>
  <Marked_U94(mark(X1),X2) , Marked_U94(X1,X2)> 
     --> <Marked_U94(mark(X1),X2) , Marked_U94(X1,X2)>
}

{  <Marked_s(ok(X)) , Marked_s(X)> --> <Marked_s(ok(X)) , Marked_s(X)>
  <Marked_s(ok(X)) , Marked_s(X)> --> <Marked_s(mark(X)) , Marked_s(X)>
  <Marked_s(mark(X)) , Marked_s(X)> --> <Marked_s(ok(X)) , Marked_s(X)>
  <Marked_s(mark(X)) , Marked_s(X)> --> <Marked_s(mark(X)) , Marked_s(X)>
}

{  <Marked_length(ok(X)) , Marked_length(X)> 
      --> <Marked_length(ok(X)) , Marked_length(X)>
  <Marked_length(ok(X)) , Marked_length(X)> 
     --> <Marked_length(mark(X)) , Marked_length(X)>
  <Marked_length(mark(X)) , Marked_length(X)> 
     --> <Marked_length(ok(X)) , Marked_length(X)>
  <Marked_length(mark(X)) , Marked_length(X)> 
     --> <Marked_length(mark(X)) , Marked_length(X)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  cons(mark(X1),X2) >= mark(cons(X1,X2)) ;
  cons(ok(X1),ok(X2)) >= ok(cons(X1,X2)) ;
  active(cons(X1,X2)) >= cons(active(X1),X2) ;
  active(zeros) >= mark(cons(0,zeros)) ;
  active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ;
  active(U12(X1,X2)) >= U12(active(X1),X2) ;
  active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ;
  active(isNatIListKind(zeros)) >= mark(tt) ;
  active(isNatIListKind(nil)) >= mark(tt) ;
  active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ;
  active(U11(X1,X2)) >= U11(active(X1),X2) ;
  active(U13(tt)) >= mark(tt) ;
  active(U13(X)) >= U13(active(X)) ;
  active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ;
  active(isNatList(nil)) >= mark(tt) ;
  active(U22(tt,V1)) >= mark(U23(isNat(V1))) ;
  active(U22(X1,X2)) >= U22(active(X1),X2) ;
  active(isNatKind(0)) >= mark(tt) ;
  active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ;
  active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ;
  active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ;
  active(U21(X1,X2)) >= U21(active(X1),X2) ;
  active(U23(tt)) >= mark(tt) ;
  active(U23(X)) >= U23(active(X)) ;
  active(isNat(0)) >= mark(tt) ;
  active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ;
  active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ;
  active(U32(tt,V)) >= mark(U33(isNatList(V))) ;
  active(U32(X1,X2)) >= U32(active(X1),X2) ;
  active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ;
  active(U31(X1,X2)) >= U31(active(X1),X2) ;
  active(U33(tt)) >= mark(tt) ;
  active(U33(X)) >= U33(active(X)) ;
  active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ;
  active(U42(X1,X2,X3)) >= U42(active(X1),X2,X3) ;
  active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ;
  active(U41(X1,X2,X3)) >= U41(active(X1),X2,X3) ;
  active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ;
  active(U43(X1,X2,X3)) >= U43(active(X1),X2,X3) ;
  active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ;
  active(U44(X1,X2,X3)) >= U44(active(X1),X2,X3) ;
  active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ;
  active(U45(X1,X2)) >= U45(active(X1),X2) ;
  active(U46(tt)) >= mark(tt) ;
  active(U46(X)) >= U46(active(X)) ;
  active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ;
  active(isNatIList(zeros)) >= mark(tt) ;
  active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ;
  active(U52(tt)) >= mark(tt) ;
  active(U52(X)) >= U52(active(X)) ;
  active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ;
  active(U51(X1,X2)) >= U51(active(X1),X2) ;
  active(U61(tt)) >= mark(tt) ;
  active(U61(X)) >= U61(active(X)) ;
  active(U71(tt)) >= mark(tt) ;
  active(U71(X)) >= U71(active(X)) ;
  active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ;
  active(U82(X1,X2,X3)) >= U82(active(X1),X2,X3) ;
  active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ;
  active(U81(X1,X2,X3)) >= U81(active(X1),X2,X3) ;
  active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ;
  active(U83(X1,X2,X3)) >= U83(active(X1),X2,X3) ;
  active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ;
  active(U84(X1,X2,X3)) >= U84(active(X1),X2,X3) ;
  active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ;
  active(U85(X1,X2)) >= U85(active(X1),X2) ;
  active(U86(tt)) >= mark(tt) ;
  active(U86(X)) >= U86(active(X)) ;
  active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ;
  active(U92(X1,X2,X3)) >= U92(active(X1),X2,X3) ;
  active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ;
  active(U91(X1,X2,X3)) >= U91(active(X1),X2,X3) ;
  active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ;
  active(U93(X1,X2,X3)) >= U93(active(X1),X2,X3) ;
  active(U94(tt,L)) >= mark(s(length(L))) ;
  active(U94(X1,X2)) >= U94(active(X1),X2) ;
  active(s(X)) >= s(active(X)) ;
  active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ;
  active(length(nil)) >= mark(0) ;
  active(length(X)) >= length(active(X)) ;
  U12(mark(X1),X2) >= mark(U12(X1,X2)) ;
  U12(ok(X1),ok(X2)) >= ok(U12(X1,X2)) ;
  isNatIListKind(ok(X)) >= ok(isNatIListKind(X)) ;
  U11(mark(X1),X2) >= mark(U11(X1,X2)) ;
  U11(ok(X1),ok(X2)) >= ok(U11(X1,X2)) ;
  U13(mark(X)) >= mark(U13(X)) ;
  U13(ok(X)) >= ok(U13(X)) ;
  isNatList(ok(X)) >= ok(isNatList(X)) ;
  U22(mark(X1),X2) >= mark(U22(X1,X2)) ;
  U22(ok(X1),ok(X2)) >= ok(U22(X1,X2)) ;
  isNatKind(ok(X)) >= ok(isNatKind(X)) ;
  U21(mark(X1),X2) >= mark(U21(X1,X2)) ;
  U21(ok(X1),ok(X2)) >= ok(U21(X1,X2)) ;
  U23(mark(X)) >= mark(U23(X)) ;
  U23(ok(X)) >= ok(U23(X)) ;
  isNat(ok(X)) >= ok(isNat(X)) ;
  U32(mark(X1),X2) >= mark(U32(X1,X2)) ;
  U32(ok(X1),ok(X2)) >= ok(U32(X1,X2)) ;
  U31(mark(X1),X2) >= mark(U31(X1,X2)) ;
  U31(ok(X1),ok(X2)) >= ok(U31(X1,X2)) ;
  U33(mark(X)) >= mark(U33(X)) ;
  U33(ok(X)) >= ok(U33(X)) ;
  U42(mark(X1),X2,X3) >= mark(U42(X1,X2,X3)) ;
  U42(ok(X1),ok(X2),ok(X3)) >= ok(U42(X1,X2,X3)) ;
  U41(mark(X1),X2,X3) >= mark(U41(X1,X2,X3)) ;
  U41(ok(X1),ok(X2),ok(X3)) >= ok(U41(X1,X2,X3)) ;
  U43(mark(X1),X2,X3) >= mark(U43(X1,X2,X3)) ;
  U43(ok(X1),ok(X2),ok(X3)) >= ok(U43(X1,X2,X3)) ;
  U44(mark(X1),X2,X3) >= mark(U44(X1,X2,X3)) ;
  U44(ok(X1),ok(X2),ok(X3)) >= ok(U44(X1,X2,X3)) ;
  U45(mark(X1),X2) >= mark(U45(X1,X2)) ;
  U45(ok(X1),ok(X2)) >= ok(U45(X1,X2)) ;
  U46(mark(X)) >= mark(U46(X)) ;
  U46(ok(X)) >= ok(U46(X)) ;
  isNatIList(ok(X)) >= ok(isNatIList(X)) ;
  U52(mark(X)) >= mark(U52(X)) ;
  U52(ok(X)) >= ok(U52(X)) ;
  U51(mark(X1),X2) >= mark(U51(X1,X2)) ;
  U51(ok(X1),ok(X2)) >= ok(U51(X1,X2)) ;
  U61(mark(X)) >= mark(U61(X)) ;
  U61(ok(X)) >= ok(U61(X)) ;
  U71(mark(X)) >= mark(U71(X)) ;
  U71(ok(X)) >= ok(U71(X)) ;
  U82(mark(X1),X2,X3) >= mark(U82(X1,X2,X3)) ;
  U82(ok(X1),ok(X2),ok(X3)) >= ok(U82(X1,X2,X3)) ;
  U81(mark(X1),X2,X3) >= mark(U81(X1,X2,X3)) ;
  U81(ok(X1),ok(X2),ok(X3)) >= ok(U81(X1,X2,X3)) ;
  U83(mark(X1),X2,X3) >= mark(U83(X1,X2,X3)) ;
  U83(ok(X1),ok(X2),ok(X3)) >= ok(U83(X1,X2,X3)) ;
  U84(mark(X1),X2,X3) >= mark(U84(X1,X2,X3)) ;
  U84(ok(X1),ok(X2),ok(X3)) >= ok(U84(X1,X2,X3)) ;
  U85(mark(X1),X2) >= mark(U85(X1,X2)) ;
  U85(ok(X1),ok(X2)) >= ok(U85(X1,X2)) ;
  U86(mark(X)) >= mark(U86(X)) ;
  U86(ok(X)) >= ok(U86(X)) ;
  U92(mark(X1),X2,X3) >= mark(U92(X1,X2,X3)) ;
  U92(ok(X1),ok(X2),ok(X3)) >= ok(U92(X1,X2,X3)) ;
  U91(mark(X1),X2,X3) >= mark(U91(X1,X2,X3)) ;
  U91(ok(X1),ok(X2),ok(X3)) >= ok(U91(X1,X2,X3)) ;
  U93(mark(X1),X2,X3) >= mark(U93(X1,X2,X3)) ;
  U93(ok(X1),ok(X2),ok(X3)) >= ok(U93(X1,X2,X3)) ;
  U94(mark(X1),X2) >= mark(U94(X1,X2)) ;
  U94(ok(X1),ok(X2)) >= ok(U94(X1,X2)) ;
  s(mark(X)) >= mark(s(X)) ;
  s(ok(X)) >= ok(s(X)) ;
  length(mark(X)) >= mark(length(X)) ;
  length(ok(X)) >= ok(length(X)) ;
  proper(cons(X1,X2)) >= cons(proper(X1),proper(X2)) ;
  proper(0) >= ok(0) ;
  proper(zeros) >= ok(zeros) ;
  proper(U12(X1,X2)) >= U12(proper(X1),proper(X2)) ;
  proper(isNatIListKind(X)) >= isNatIListKind(proper(X)) ;
  proper(U11(X1,X2)) >= U11(proper(X1),proper(X2)) ;
  proper(tt) >= ok(tt) ;
  proper(U13(X)) >= U13(proper(X)) ;
  proper(isNatList(X)) >= isNatList(proper(X)) ;
  proper(U22(X1,X2)) >= U22(proper(X1),proper(X2)) ;
  proper(isNatKind(X)) >= isNatKind(proper(X)) ;
  proper(U21(X1,X2)) >= U21(proper(X1),proper(X2)) ;
  proper(U23(X)) >= U23(proper(X)) ;
  proper(isNat(X)) >= isNat(proper(X)) ;
  proper(U32(X1,X2)) >= U32(proper(X1),proper(X2)) ;
  proper(U31(X1,X2)) >= U31(proper(X1),proper(X2)) ;
  proper(U33(X)) >= U33(proper(X)) ;
  proper(U42(X1,X2,X3)) >= U42(proper(X1),proper(X2),proper(X3)) ;
  proper(U41(X1,X2,X3)) >= U41(proper(X1),proper(X2),proper(X3)) ;
  proper(U43(X1,X2,X3)) >= U43(proper(X1),proper(X2),proper(X3)) ;
  proper(U44(X1,X2,X3)) >= U44(proper(X1),proper(X2),proper(X3)) ;
  proper(U45(X1,X2)) >= U45(proper(X1),proper(X2)) ;
  proper(U46(X)) >= U46(proper(X)) ;
  proper(isNatIList(X)) >= isNatIList(proper(X)) ;
  proper(U52(X)) >= U52(proper(X)) ;
  proper(U51(X1,X2)) >= U51(proper(X1),proper(X2)) ;
  proper(U61(X)) >= U61(proper(X)) ;
  proper(U71(X)) >= U71(proper(X)) ;
  proper(U82(X1,X2,X3)) >= U82(proper(X1),proper(X2),proper(X3)) ;
  proper(U81(X1,X2,X3)) >= U81(proper(X1),proper(X2),proper(X3)) ;
  proper(U83(X1,X2,X3)) >= U83(proper(X1),proper(X2),proper(X3)) ;
  proper(U84(X1,X2,X3)) >= U84(proper(X1),proper(X2),proper(X3)) ;
  proper(U85(X1,X2)) >= U85(proper(X1),proper(X2)) ;
  proper(U86(X)) >= U86(proper(X)) ;
  proper(U92(X1,X2,X3)) >= U92(proper(X1),proper(X2),proper(X3)) ;
  proper(U91(X1,X2,X3)) >= U91(proper(X1),proper(X2),proper(X3)) ;
  proper(U93(X1,X2,X3)) >= U93(proper(X1),proper(X2),proper(X3)) ;
  proper(U94(X1,X2)) >= U94(proper(X1),proper(X2)) ;
  proper(s(X)) >= s(proper(X)) ;
  proper(length(X)) >= length(proper(X)) ;
  proper(nil) >= ok(nil) ;
  top(mark(X)) >= top(proper(X)) ;
  top(ok(X)) >= top(active(X)) ;
  Marked_top(mark(X)) >= Marked_top(proper(X)) ;
  Marked_top(ok(X)) >= Marked_top(active(X)) ;
 }
 + Disjunctions:{ 
{
  Marked_top(mark(X)) > Marked_top(proper(X)) ;
 }
{
  Marked_top(ok(X)) > Marked_top(active(X)) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
Time out for these parameters.
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat timeout reached
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (Simple graph)
Found the following constraints:
{
  cons(mark(X1),X2) >= mark(cons(X1,X2)) ;
  cons(ok(X1),ok(X2)) >= ok(cons(X1,X2)) ;
  active(cons(X1,X2)) >= cons(active(X1),X2) ;
  active(zeros) >= mark(cons(0,zeros)) ;
  active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ;
  active(U12(X1,X2)) >= U12(active(X1),X2) ;
  active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ;
  active(isNatIListKind(zeros)) >= mark(tt) ;
  active(isNatIListKind(nil)) >= mark(tt) ;
  active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ;
  active(U11(X1,X2)) >= U11(active(X1),X2) ;
  active(U13(tt)) >= mark(tt) ;
  active(U13(X)) >= U13(active(X)) ;
  active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ;
  active(isNatList(nil)) >= mark(tt) ;
  active(U22(tt,V1)) >= mark(U23(isNat(V1))) ;
  active(U22(X1,X2)) >= U22(active(X1),X2) ;
  active(isNatKind(0)) >= mark(tt) ;
  active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ;
  active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ;
  active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ;
  active(U21(X1,X2)) >= U21(active(X1),X2) ;
  active(U23(tt)) >= mark(tt) ;
  active(U23(X)) >= U23(active(X)) ;
  active(isNat(0)) >= mark(tt) ;
  active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ;
  active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ;
  active(U32(tt,V)) >= mark(U33(isNatList(V))) ;
  active(U32(X1,X2)) >= U32(active(X1),X2) ;
  active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ;
  active(U31(X1,X2)) >= U31(active(X1),X2) ;
  active(U33(tt)) >= mark(tt) ;
  active(U33(X)) >= U33(active(X)) ;
  active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ;
  active(U42(X1,X2,X3)) >= U42(active(X1),X2,X3) ;
  active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ;
  active(U41(X1,X2,X3)) >= U41(active(X1),X2,X3) ;
  active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ;
  active(U43(X1,X2,X3)) >= U43(active(X1),X2,X3) ;
  active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ;
  active(U44(X1,X2,X3)) >= U44(active(X1),X2,X3) ;
  active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ;
  active(U45(X1,X2)) >= U45(active(X1),X2) ;
  active(U46(tt)) >= mark(tt) ;
  active(U46(X)) >= U46(active(X)) ;
  active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ;
  active(isNatIList(zeros)) >= mark(tt) ;
  active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ;
  active(U52(tt)) >= mark(tt) ;
  active(U52(X)) >= U52(active(X)) ;
  active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ;
  active(U51(X1,X2)) >= U51(active(X1),X2) ;
  active(U61(tt)) >= mark(tt) ;
  active(U61(X)) >= U61(active(X)) ;
  active(U71(tt)) >= mark(tt) ;
  active(U71(X)) >= U71(active(X)) ;
  active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ;
  active(U82(X1,X2,X3)) >= U82(active(X1),X2,X3) ;
  active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ;
  active(U81(X1,X2,X3)) >= U81(active(X1),X2,X3) ;
  active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ;
  active(U83(X1,X2,X3)) >= U83(active(X1),X2,X3) ;
  active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ;
  active(U84(X1,X2,X3)) >= U84(active(X1),X2,X3) ;
  active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ;
  active(U85(X1,X2)) >= U85(active(X1),X2) ;
  active(U86(tt)) >= mark(tt) ;
  active(U86(X)) >= U86(active(X)) ;
  active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ;
  active(U92(X1,X2,X3)) >= U92(active(X1),X2,X3) ;
  active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ;
  active(U91(X1,X2,X3)) >= U91(active(X1),X2,X3) ;
  active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ;
  active(U93(X1,X2,X3)) >= U93(active(X1),X2,X3) ;
  active(U94(tt,L)) >= mark(s(length(L))) ;
  active(U94(X1,X2)) >= U94(active(X1),X2) ;
  active(s(X)) >= s(active(X)) ;
  active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ;
  active(length(nil)) >= mark(0) ;
  active(length(X)) >= length(active(X)) ;
  U12(mark(X1),X2) >= mark(U12(X1,X2)) ;
  U12(ok(X1),ok(X2)) >= ok(U12(X1,X2)) ;
  isNatIListKind(ok(X)) >= ok(isNatIListKind(X)) ;
  U11(mark(X1),X2) >= mark(U11(X1,X2)) ;
  U11(ok(X1),ok(X2)) >= ok(U11(X1,X2)) ;
  U13(mark(X)) >= mark(U13(X)) ;
  U13(ok(X)) >= ok(U13(X)) ;
  isNatList(ok(X)) >= ok(isNatList(X)) ;
  U22(mark(X1),X2) >= mark(U22(X1,X2)) ;
  U22(ok(X1),ok(X2)) >= ok(U22(X1,X2)) ;
  isNatKind(ok(X)) >= ok(isNatKind(X)) ;
  U21(mark(X1),X2) >= mark(U21(X1,X2)) ;
  U21(ok(X1),ok(X2)) >= ok(U21(X1,X2)) ;
  U23(mark(X)) >= mark(U23(X)) ;
  U23(ok(X)) >= ok(U23(X)) ;
  isNat(ok(X)) >= ok(isNat(X)) ;
  U32(mark(X1),X2) >= mark(U32(X1,X2)) ;
  U32(ok(X1),ok(X2)) >= ok(U32(X1,X2)) ;
  U31(mark(X1),X2) >= mark(U31(X1,X2)) ;
  U31(ok(X1),ok(X2)) >= ok(U31(X1,X2)) ;
  U33(mark(X)) >= mark(U33(X)) ;
  U33(ok(X)) >= ok(U33(X)) ;
  U42(mark(X1),X2,X3) >= mark(U42(X1,X2,X3)) ;
  U42(ok(X1),ok(X2),ok(X3)) >= ok(U42(X1,X2,X3)) ;
  U41(mark(X1),X2,X3) >= mark(U41(X1,X2,X3)) ;
  U41(ok(X1),ok(X2),ok(X3)) >= ok(U41(X1,X2,X3)) ;
  U43(mark(X1),X2,X3) >= mark(U43(X1,X2,X3)) ;
  U43(ok(X1),ok(X2),ok(X3)) >= ok(U43(X1,X2,X3)) ;
  U44(mark(X1),X2,X3) >= mark(U44(X1,X2,X3)) ;
  U44(ok(X1),ok(X2),ok(X3)) >= ok(U44(X1,X2,X3)) ;
  U45(mark(X1),X2) >= mark(U45(X1,X2)) ;
  U45(ok(X1),ok(X2)) >= ok(U45(X1,X2)) ;
  U46(mark(X)) >= mark(U46(X)) ;
  U46(ok(X)) >= ok(U46(X)) ;
  isNatIList(ok(X)) >= ok(isNatIList(X)) ;
  U52(mark(X)) >= mark(U52(X)) ;
  U52(ok(X)) >= ok(U52(X)) ;
  U51(mark(X1),X2) >= mark(U51(X1,X2)) ;
  U51(ok(X1),ok(X2)) >= ok(U51(X1,X2)) ;
  U61(mark(X)) >= mark(U61(X)) ;
  U61(ok(X)) >= ok(U61(X)) ;
  U71(mark(X)) >= mark(U71(X)) ;
  U71(ok(X)) >= ok(U71(X)) ;
  U82(mark(X1),X2,X3) >= mark(U82(X1,X2,X3)) ;
  U82(ok(X1),ok(X2),ok(X3)) >= ok(U82(X1,X2,X3)) ;
  U81(mark(X1),X2,X3) >= mark(U81(X1,X2,X3)) ;
  U81(ok(X1),ok(X2),ok(X3)) >= ok(U81(X1,X2,X3)) ;
  U83(mark(X1),X2,X3) >= mark(U83(X1,X2,X3)) ;
  U83(ok(X1),ok(X2),ok(X3)) >= ok(U83(X1,X2,X3)) ;
  U84(mark(X1),X2,X3) >= mark(U84(X1,X2,X3)) ;
  U84(ok(X1),ok(X2),ok(X3)) >= ok(U84(X1,X2,X3)) ;
  U85(mark(X1),X2) >= mark(U85(X1,X2)) ;
  U85(ok(X1),ok(X2)) >= ok(U85(X1,X2)) ;
  U86(mark(X)) >= mark(U86(X)) ;
  U86(ok(X)) >= ok(U86(X)) ;
  U92(mark(X1),X2,X3) >= mark(U92(X1,X2,X3)) ;
  U92(ok(X1),ok(X2),ok(X3)) >= ok(U92(X1,X2,X3)) ;
  U91(mark(X1),X2,X3) >= mark(U91(X1,X2,X3)) ;
  U91(ok(X1),ok(X2),ok(X3)) >= ok(U91(X1,X2,X3)) ;
  U93(mark(X1),X2,X3) >= mark(U93(X1,X2,X3)) ;
  U93(ok(X1),ok(X2),ok(X3)) >= ok(U93(X1,X2,X3)) ;
  U94(mark(X1),X2) >= mark(U94(X1,X2)) ;
  U94(ok(X1),ok(X2)) >= ok(U94(X1,X2)) ;
  s(mark(X)) >= mark(s(X)) ;
  s(ok(X)) >= ok(s(X)) ;
  length(mark(X)) >= mark(length(X)) ;
  length(ok(X)) >= ok(length(X)) ;
  proper(cons(X1,X2)) >= cons(proper(X1),proper(X2)) ;
  proper(0) >= ok(0) ;
  proper(zeros) >= ok(zeros) ;
  proper(U12(X1,X2)) >= U12(proper(X1),proper(X2)) ;
  proper(isNatIListKind(X)) >= isNatIListKind(proper(X)) ;
  proper(U11(X1,X2)) >= U11(proper(X1),proper(X2)) ;
  proper(tt) >= ok(tt) ;
  proper(U13(X)) >= U13(proper(X)) ;
  proper(isNatList(X)) >= isNatList(proper(X)) ;
  proper(U22(X1,X2)) >= U22(proper(X1),proper(X2)) ;
  proper(isNatKind(X)) >= isNatKind(proper(X)) ;
  proper(U21(X1,X2)) >= U21(proper(X1),proper(X2)) ;
  proper(U23(X)) >= U23(proper(X)) ;
  proper(isNat(X)) >= isNat(proper(X)) ;
  proper(U32(X1,X2)) >= U32(proper(X1),proper(X2)) ;
  proper(U31(X1,X2)) >= U31(proper(X1),proper(X2)) ;
  proper(U33(X)) >= U33(proper(X)) ;
  proper(U42(X1,X2,X3)) >= U42(proper(X1),proper(X2),proper(X3)) ;
  proper(U41(X1,X2,X3)) >= U41(proper(X1),proper(X2),proper(X3)) ;
  proper(U43(X1,X2,X3)) >= U43(proper(X1),proper(X2),proper(X3)) ;
  proper(U44(X1,X2,X3)) >= U44(proper(X1),proper(X2),proper(X3)) ;
  proper(U45(X1,X2)) >= U45(proper(X1),proper(X2)) ;
  proper(U46(X)) >= U46(proper(X)) ;
  proper(isNatIList(X)) >= isNatIList(proper(X)) ;
  proper(U52(X)) >= U52(proper(X)) ;
  proper(U51(X1,X2)) >= U51(proper(X1),proper(X2)) ;
  proper(U61(X)) >= U61(proper(X)) ;
  proper(U71(X)) >= U71(proper(X)) ;
  proper(U82(X1,X2,X3)) >= U82(proper(X1),proper(X2),proper(X3)) ;
  proper(U81(X1,X2,X3)) >= U81(proper(X1),proper(X2),proper(X3)) ;
  proper(U83(X1,X2,X3)) >= U83(proper(X1),proper(X2),proper(X3)) ;
  proper(U84(X1,X2,X3)) >= U84(proper(X1),proper(X2),proper(X3)) ;
  proper(U85(X1,X2)) >= U85(proper(X1),proper(X2)) ;
  proper(U86(X)) >= U86(proper(X)) ;
  proper(U92(X1,X2,X3)) >= U92(proper(X1),proper(X2),proper(X3)) ;
  proper(U91(X1,X2,X3)) >= U91(proper(X1),proper(X2),proper(X3)) ;
  proper(U93(X1,X2,X3)) >= U93(proper(X1),proper(X2),proper(X3)) ;
  proper(U94(X1,X2)) >= U94(proper(X1),proper(X2)) ;
  proper(s(X)) >= s(proper(X)) ;
  proper(length(X)) >= length(proper(X)) ;
  proper(nil) >= ok(nil) ;
  top(mark(X)) >= top(proper(X)) ;
  top(ok(X)) >= top(active(X)) ;
  Marked_top(mark(X)) > Marked_top(proper(X)) ;
  Marked_top(ok(X)) > Marked_top(active(X)) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  cons(mark(X1),X2) >= mark(cons(X1,X2)) ;
  cons(ok(X1),ok(X2)) >= ok(cons(X1,X2)) ;
  active(cons(X1,X2)) >= cons(active(X1),X2) ;
  active(zeros) >= mark(cons(0,zeros)) ;
  active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ;
  active(U12(X1,X2)) >= U12(active(X1),X2) ;
  active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ;
  active(isNatIListKind(zeros)) >= mark(tt) ;
  active(isNatIListKind(nil)) >= mark(tt) ;
  active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ;
  active(U11(X1,X2)) >= U11(active(X1),X2) ;
  active(U13(tt)) >= mark(tt) ;
  active(U13(X)) >= U13(active(X)) ;
  active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ;
  active(isNatList(nil)) >= mark(tt) ;
  active(U22(tt,V1)) >= mark(U23(isNat(V1))) ;
  active(U22(X1,X2)) >= U22(active(X1),X2) ;
  active(isNatKind(0)) >= mark(tt) ;
  active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ;
  active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ;
  active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ;
  active(U21(X1,X2)) >= U21(active(X1),X2) ;
  active(U23(tt)) >= mark(tt) ;
  active(U23(X)) >= U23(active(X)) ;
  active(isNat(0)) >= mark(tt) ;
  active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ;
  active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ;
  active(U32(tt,V)) >= mark(U33(isNatList(V))) ;
  active(U32(X1,X2)) >= U32(active(X1),X2) ;
  active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ;
  active(U31(X1,X2)) >= U31(active(X1),X2) ;
  active(U33(tt)) >= mark(tt) ;
  active(U33(X)) >= U33(active(X)) ;
  active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ;
  active(U42(X1,X2,X3)) >= U42(active(X1),X2,X3) ;
  active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ;
  active(U41(X1,X2,X3)) >= U41(active(X1),X2,X3) ;
  active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ;
  active(U43(X1,X2,X3)) >= U43(active(X1),X2,X3) ;
  active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ;
  active(U44(X1,X2,X3)) >= U44(active(X1),X2,X3) ;
  active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ;
  active(U45(X1,X2)) >= U45(active(X1),X2) ;
  active(U46(tt)) >= mark(tt) ;
  active(U46(X)) >= U46(active(X)) ;
  active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ;
  active(isNatIList(zeros)) >= mark(tt) ;
  active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ;
  active(U52(tt)) >= mark(tt) ;
  active(U52(X)) >= U52(active(X)) ;
  active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ;
  active(U51(X1,X2)) >= U51(active(X1),X2) ;
  active(U61(tt)) >= mark(tt) ;
  active(U61(X)) >= U61(active(X)) ;
  active(U71(tt)) >= mark(tt) ;
  active(U71(X)) >= U71(active(X)) ;
  active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ;
  active(U82(X1,X2,X3)) >= U82(active(X1),X2,X3) ;
  active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ;
  active(U81(X1,X2,X3)) >= U81(active(X1),X2,X3) ;
  active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ;
  active(U83(X1,X2,X3)) >= U83(active(X1),X2,X3) ;
  active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ;
  active(U84(X1,X2,X3)) >= U84(active(X1),X2,X3) ;
  active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ;
  active(U85(X1,X2)) >= U85(active(X1),X2) ;
  active(U86(tt)) >= mark(tt) ;
  active(U86(X)) >= U86(active(X)) ;
  active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ;
  active(U92(X1,X2,X3)) >= U92(active(X1),X2,X3) ;
  active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ;
  active(U91(X1,X2,X3)) >= U91(active(X1),X2,X3) ;
  active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ;
  active(U93(X1,X2,X3)) >= U93(active(X1),X2,X3) ;
  active(U94(tt,L)) >= mark(s(length(L))) ;
  active(U94(X1,X2)) >= U94(active(X1),X2) ;
  active(s(X)) >= s(active(X)) ;
  active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ;
  active(length(nil)) >= mark(0) ;
  active(length(X)) >= length(active(X)) ;
  U12(mark(X1),X2) >= mark(U12(X1,X2)) ;
  U12(ok(X1),ok(X2)) >= ok(U12(X1,X2)) ;
  isNatIListKind(ok(X)) >= ok(isNatIListKind(X)) ;
  U11(mark(X1),X2) >= mark(U11(X1,X2)) ;
  U11(ok(X1),ok(X2)) >= ok(U11(X1,X2)) ;
  U13(mark(X)) >= mark(U13(X)) ;
  U13(ok(X)) >= ok(U13(X)) ;
  isNatList(ok(X)) >= ok(isNatList(X)) ;
  U22(mark(X1),X2) >= mark(U22(X1,X2)) ;
  U22(ok(X1),ok(X2)) >= ok(U22(X1,X2)) ;
  isNatKind(ok(X)) >= ok(isNatKind(X)) ;
  U21(mark(X1),X2) >= mark(U21(X1,X2)) ;
  U21(ok(X1),ok(X2)) >= ok(U21(X1,X2)) ;
  U23(mark(X)) >= mark(U23(X)) ;
  U23(ok(X)) >= ok(U23(X)) ;
  isNat(ok(X)) >= ok(isNat(X)) ;
  U32(mark(X1),X2) >= mark(U32(X1,X2)) ;
  U32(ok(X1),ok(X2)) >= ok(U32(X1,X2)) ;
  U31(mark(X1),X2) >= mark(U31(X1,X2)) ;
  U31(ok(X1),ok(X2)) >= ok(U31(X1,X2)) ;
  U33(mark(X)) >= mark(U33(X)) ;
  U33(ok(X)) >= ok(U33(X)) ;
  U42(mark(X1),X2,X3) >= mark(U42(X1,X2,X3)) ;
  U42(ok(X1),ok(X2),ok(X3)) >= ok(U42(X1,X2,X3)) ;
  U41(mark(X1),X2,X3) >= mark(U41(X1,X2,X3)) ;
  U41(ok(X1),ok(X2),ok(X3)) >= ok(U41(X1,X2,X3)) ;
  U43(mark(X1),X2,X3) >= mark(U43(X1,X2,X3)) ;
  U43(ok(X1),ok(X2),ok(X3)) >= ok(U43(X1,X2,X3)) ;
  U44(mark(X1),X2,X3) >= mark(U44(X1,X2,X3)) ;
  U44(ok(X1),ok(X2),ok(X3)) >= ok(U44(X1,X2,X3)) ;
  U45(mark(X1),X2) >= mark(U45(X1,X2)) ;
  U45(ok(X1),ok(X2)) >= ok(U45(X1,X2)) ;
  U46(mark(X)) >= mark(U46(X)) ;
  U46(ok(X)) >= ok(U46(X)) ;
  isNatIList(ok(X)) >= ok(isNatIList(X)) ;
  U52(mark(X)) >= mark(U52(X)) ;
  U52(ok(X)) >= ok(U52(X)) ;
  U51(mark(X1),X2) >= mark(U51(X1,X2)) ;
  U51(ok(X1),ok(X2)) >= ok(U51(X1,X2)) ;
  U61(mark(X)) >= mark(U61(X)) ;
  U61(ok(X)) >= ok(U61(X)) ;
  U71(mark(X)) >= mark(U71(X)) ;
  U71(ok(X)) >= ok(U71(X)) ;
  U82(mark(X1),X2,X3) >= mark(U82(X1,X2,X3)) ;
  U82(ok(X1),ok(X2),ok(X3)) >= ok(U82(X1,X2,X3)) ;
  U81(mark(X1),X2,X3) >= mark(U81(X1,X2,X3)) ;
  U81(ok(X1),ok(X2),ok(X3)) >= ok(U81(X1,X2,X3)) ;
  U83(mark(X1),X2,X3) >= mark(U83(X1,X2,X3)) ;
  U83(ok(X1),ok(X2),ok(X3)) >= ok(U83(X1,X2,X3)) ;
  U84(mark(X1),X2,X3) >= mark(U84(X1,X2,X3)) ;
  U84(ok(X1),ok(X2),ok(X3)) >= ok(U84(X1,X2,X3)) ;
  U85(mark(X1),X2) >= mark(U85(X1,X2)) ;
  U85(ok(X1),ok(X2)) >= ok(U85(X1,X2)) ;
  U86(mark(X)) >= mark(U86(X)) ;
  U86(ok(X)) >= ok(U86(X)) ;
  U92(mark(X1),X2,X3) >= mark(U92(X1,X2,X3)) ;
  U92(ok(X1),ok(X2),ok(X3)) >= ok(U92(X1,X2,X3)) ;
  U91(mark(X1),X2,X3) >= mark(U91(X1,X2,X3)) ;
  U91(ok(X1),ok(X2),ok(X3)) >= ok(U91(X1,X2,X3)) ;
  U93(mark(X1),X2,X3) >= mark(U93(X1,X2,X3)) ;
  U93(ok(X1),ok(X2),ok(X3)) >= ok(U93(X1,X2,X3)) ;
  U94(mark(X1),X2) >= mark(U94(X1,X2)) ;
  U94(ok(X1),ok(X2)) >= ok(U94(X1,X2)) ;
  s(mark(X)) >= mark(s(X)) ;
  s(ok(X)) >= ok(s(X)) ;
  length(mark(X)) >= mark(length(X)) ;
  length(ok(X)) >= ok(length(X)) ;
  proper(cons(X1,X2)) >= cons(proper(X1),proper(X2)) ;
  proper(0) >= ok(0) ;
  proper(zeros) >= ok(zeros) ;
  proper(U12(X1,X2)) >= U12(proper(X1),proper(X2)) ;
  proper(isNatIListKind(X)) >= isNatIListKind(proper(X)) ;
  proper(U11(X1,X2)) >= U11(proper(X1),proper(X2)) ;
  proper(tt) >= ok(tt) ;
  proper(U13(X)) >= U13(proper(X)) ;
  proper(isNatList(X)) >= isNatList(proper(X)) ;
  proper(U22(X1,X2)) >= U22(proper(X1),proper(X2)) ;
  proper(isNatKind(X)) >= isNatKind(proper(X)) ;
  proper(U21(X1,X2)) >= U21(proper(X1),proper(X2)) ;
  proper(U23(X)) >= U23(proper(X)) ;
  proper(isNat(X)) >= isNat(proper(X)) ;
  proper(U32(X1,X2)) >= U32(proper(X1),proper(X2)) ;
  proper(U31(X1,X2)) >= U31(proper(X1),proper(X2)) ;
  proper(U33(X)) >= U33(proper(X)) ;
  proper(U42(X1,X2,X3)) >= U42(proper(X1),proper(X2),proper(X3)) ;
  proper(U41(X1,X2,X3)) >= U41(proper(X1),proper(X2),proper(X3)) ;
  proper(U43(X1,X2,X3)) >= U43(proper(X1),proper(X2),proper(X3)) ;
  proper(U44(X1,X2,X3)) >= U44(proper(X1),proper(X2),proper(X3)) ;
  proper(U45(X1,X2)) >= U45(proper(X1),proper(X2)) ;
  proper(U46(X)) >= U46(proper(X)) ;
  proper(isNatIList(X)) >= isNatIList(proper(X)) ;
  proper(U52(X)) >= U52(proper(X)) ;
  proper(U51(X1,X2)) >= U51(proper(X1),proper(X2)) ;
  proper(U61(X)) >= U61(proper(X)) ;
  proper(U71(X)) >= U71(proper(X)) ;
  proper(U82(X1,X2,X3)) >= U82(proper(X1),proper(X2),proper(X3)) ;
  proper(U81(X1,X2,X3)) >= U81(proper(X1),proper(X2),proper(X3)) ;
  proper(U83(X1,X2,X3)) >= U83(proper(X1),proper(X2),proper(X3)) ;
  proper(U84(X1,X2,X3)) >= U84(proper(X1),proper(X2),proper(X3)) ;
  proper(U85(X1,X2)) >= U85(proper(X1),proper(X2)) ;
  proper(U86(X)) >= U86(proper(X)) ;
  proper(U92(X1,X2,X3)) >= U92(proper(X1),proper(X2),proper(X3)) ;
  proper(U91(X1,X2,X3)) >= U91(proper(X1),proper(X2),proper(X3)) ;
  proper(U93(X1,X2,X3)) >= U93(proper(X1),proper(X2),proper(X3)) ;
  proper(U94(X1,X2)) >= U94(proper(X1),proper(X2)) ;
  proper(s(X)) >= s(proper(X)) ;
  proper(length(X)) >= length(proper(X)) ;
  proper(nil) >= ok(nil) ;
  top(mark(X)) >= top(proper(X)) ;
  top(ok(X)) >= top(active(X)) ;
  Marked_top(mark(X)) > Marked_top(proper(X)) ;
  Marked_top(ok(X)) > Marked_top(active(X)) ;
 }
 + Disjunctions:{ 
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
Time out for these parameters.
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat timeout reached
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (ID_CRIT)
NOT SOLVED
No proof found
Cime worked for 173.723887 seconds (real time)
Cime Exit Status: 0