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

TRS termination of:
[1] active(U11(tt,V1,V2)) -> mark(U12(isNatKind(V1),V1,V2))
[2] active(U12(tt,V1,V2)) -> mark(U13(isNatKind(V2),V1,V2))
[3] active(U13(tt,V1,V2)) -> mark(U14(isNatKind(V2),V1,V2))
[4] active(U14(tt,V1,V2)) -> mark(U15(isNat(V1),V2))
[5] active(U15(tt,V2)) -> mark(U16(isNat(V2)))
[6] active(U16(tt)) -> mark(tt)
[7] active(U21(tt,V1)) -> mark(U22(isNatKind(V1),V1))
[8] active(U22(tt,V1)) -> mark(U23(isNat(V1)))
[9] active(U23(tt)) -> mark(tt)
[10] active(U31(tt,V2)) -> mark(U32(isNatKind(V2)))
[11] active(U32(tt)) -> mark(tt)
[12] active(U41(tt)) -> mark(tt)
[13] active(U51(tt,N)) -> mark(U52(isNatKind(N),N))
[14] active(U52(tt,N)) -> mark(N)
[15] active(U61(tt,M,N)) -> mark(U62(isNatKind(M),M,N))
[16] active(U62(tt,M,N)) -> mark(U63(isNat(N),M,N))
[17] active(U63(tt,M,N)) -> mark(U64(isNatKind(N),M,N))
[18] active(U64(tt,M,N)) -> mark(s(plus(N,M)))
[19] active(isNat(0)) -> mark(tt)
[20] active(isNat(plus(V1,V2))) -> mark(U11(isNatKind(V1),V1,V2))
[21] active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1))
[22] active(isNatKind(0)) -> mark(tt)
[23] active(isNatKind(plus(V1,V2))) -> mark(U31(isNatKind(V1),V2))
[24] active(isNatKind(s(V1))) -> mark(U41(isNatKind(V1)))
[25] active(plus(N,0)) -> mark(U51(isNat(N),N))
[26] active(plus(N,s(M))) -> mark(U61(isNat(M),M,N))
[27] active(U11(X1,X2,X3)) -> U11(active(X1),X2,X3)
[28] active(U12(X1,X2,X3)) -> U12(active(X1),X2,X3)
[29] active(U13(X1,X2,X3)) -> U13(active(X1),X2,X3)
[30] active(U14(X1,X2,X3)) -> U14(active(X1),X2,X3)
[31] active(U15(X1,X2)) -> U15(active(X1),X2)
[32] active(U16(X)) -> U16(active(X))
[33] active(U21(X1,X2)) -> U21(active(X1),X2)
[34] active(U22(X1,X2)) -> U22(active(X1),X2)
[35] active(U23(X)) -> U23(active(X))
[36] active(U31(X1,X2)) -> U31(active(X1),X2)
[37] active(U32(X)) -> U32(active(X))
[38] active(U41(X)) -> U41(active(X))
[39] active(U51(X1,X2)) -> U51(active(X1),X2)
[40] active(U52(X1,X2)) -> U52(active(X1),X2)
[41] active(U61(X1,X2,X3)) -> U61(active(X1),X2,X3)
[42] active(U62(X1,X2,X3)) -> U62(active(X1),X2,X3)
[43] active(U63(X1,X2,X3)) -> U63(active(X1),X2,X3)
[44] active(U64(X1,X2,X3)) -> U64(active(X1),X2,X3)
[45] active(s(X)) -> s(active(X))
[46] active(plus(X1,X2)) -> plus(active(X1),X2)
[47] active(plus(X1,X2)) -> plus(X1,active(X2))
[48] U11(mark(X1),X2,X3) -> mark(U11(X1,X2,X3))
[49] U12(mark(X1),X2,X3) -> mark(U12(X1,X2,X3))
[50] U13(mark(X1),X2,X3) -> mark(U13(X1,X2,X3))
[51] U14(mark(X1),X2,X3) -> mark(U14(X1,X2,X3))
[52] U15(mark(X1),X2) -> mark(U15(X1,X2))
[53] U16(mark(X)) -> mark(U16(X))
[54] U21(mark(X1),X2) -> mark(U21(X1,X2))
[55] U22(mark(X1),X2) -> mark(U22(X1,X2))
[56] U23(mark(X)) -> mark(U23(X))
[57] U31(mark(X1),X2) -> mark(U31(X1,X2))
[58] U32(mark(X)) -> mark(U32(X))
[59] U41(mark(X)) -> mark(U41(X))
[60] U51(mark(X1),X2) -> mark(U51(X1,X2))
[61] U52(mark(X1),X2) -> mark(U52(X1,X2))
[62] U61(mark(X1),X2,X3) -> mark(U61(X1,X2,X3))
[63] U62(mark(X1),X2,X3) -> mark(U62(X1,X2,X3))
[64] U63(mark(X1),X2,X3) -> mark(U63(X1,X2,X3))
[65] U64(mark(X1),X2,X3) -> mark(U64(X1,X2,X3))
[66] s(mark(X)) -> mark(s(X))
[67] plus(mark(X1),X2) -> mark(plus(X1,X2))
[68] plus(X1,mark(X2)) -> mark(plus(X1,X2))
[69] proper(U11(X1,X2,X3)) -> U11(proper(X1),proper(X2),proper(X3))
[70] proper(tt) -> ok(tt)
[71] proper(U12(X1,X2,X3)) -> U12(proper(X1),proper(X2),proper(X3))
[72] proper(isNatKind(X)) -> isNatKind(proper(X))
[73] proper(U13(X1,X2,X3)) -> U13(proper(X1),proper(X2),proper(X3))
[74] proper(U14(X1,X2,X3)) -> U14(proper(X1),proper(X2),proper(X3))
[75] proper(U15(X1,X2)) -> U15(proper(X1),proper(X2))
[76] proper(isNat(X)) -> isNat(proper(X))
[77] proper(U16(X)) -> U16(proper(X))
[78] proper(U21(X1,X2)) -> U21(proper(X1),proper(X2))
[79] proper(U22(X1,X2)) -> U22(proper(X1),proper(X2))
[80] proper(U23(X)) -> U23(proper(X))
[81] proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
[82] proper(U32(X)) -> U32(proper(X))
[83] proper(U41(X)) -> U41(proper(X))
[84] proper(U51(X1,X2)) -> U51(proper(X1),proper(X2))
[85] proper(U52(X1,X2)) -> U52(proper(X1),proper(X2))
[86] proper(U61(X1,X2,X3)) -> U61(proper(X1),proper(X2),proper(X3))
[87] proper(U62(X1,X2,X3)) -> U62(proper(X1),proper(X2),proper(X3))
[88] proper(U63(X1,X2,X3)) -> U63(proper(X1),proper(X2),proper(X3))
[89] proper(U64(X1,X2,X3)) -> U64(proper(X1),proper(X2),proper(X3))
[90] proper(s(X)) -> s(proper(X))
[91] proper(plus(X1,X2)) -> plus(proper(X1),proper(X2))
[92] proper(0) -> ok(0)
[93] U11(ok(X1),ok(X2),ok(X3)) -> ok(U11(X1,X2,X3))
[94] U12(ok(X1),ok(X2),ok(X3)) -> ok(U12(X1,X2,X3))
[95] isNatKind(ok(X)) -> ok(isNatKind(X))
[96] U13(ok(X1),ok(X2),ok(X3)) -> ok(U13(X1,X2,X3))
[97] U14(ok(X1),ok(X2),ok(X3)) -> ok(U14(X1,X2,X3))
[98] U15(ok(X1),ok(X2)) -> ok(U15(X1,X2))
[99] isNat(ok(X)) -> ok(isNat(X))
[100] U16(ok(X)) -> ok(U16(X))
[101] U21(ok(X1),ok(X2)) -> ok(U21(X1,X2))
[102] U22(ok(X1),ok(X2)) -> ok(U22(X1,X2))
[103] U23(ok(X)) -> ok(U23(X))
[104] U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
[105] U32(ok(X)) -> ok(U32(X))
[106] U41(ok(X)) -> ok(U41(X))
[107] U51(ok(X1),ok(X2)) -> ok(U51(X1,X2))
[108] U52(ok(X1),ok(X2)) -> ok(U52(X1,X2))
[109] U61(ok(X1),ok(X2),ok(X3)) -> ok(U61(X1,X2,X3))
[110] U62(ok(X1),ok(X2),ok(X3)) -> ok(U62(X1,X2,X3))
[111] U63(ok(X1),ok(X2),ok(X3)) -> ok(U63(X1,X2,X3))
[112] U64(ok(X1),ok(X2),ok(X3)) -> ok(U64(X1,X2,X3))
[113] s(ok(X)) -> ok(s(X))
[114] plus(ok(X1),ok(X2)) -> ok(plus(X1,X2))
[115] top(mark(X)) -> top(proper(X))
[116] top(ok(X)) -> top(active(X))


Sub problem: 
guided: 

DP termination of:
<Marked_active(U11(tt,V1,V2)) , Marked_U12(isNatKind(V1),V1,V2)>
<Marked_active(U11(tt,V1,V2)) , Marked_isNatKind(V1)>
<Marked_active(U12(tt,V1,V2)) , Marked_U13(isNatKind(V2),V1,V2)>
<Marked_active(U12(tt,V1,V2)) , Marked_isNatKind(V2)>
<Marked_active(U13(tt,V1,V2)) , Marked_U14(isNatKind(V2),V1,V2)>
<Marked_active(U13(tt,V1,V2)) , Marked_isNatKind(V2)>
<Marked_active(U14(tt,V1,V2)) , Marked_U15(isNat(V1),V2)>
<Marked_active(U14(tt,V1,V2)) , Marked_isNat(V1)>
<Marked_active(U15(tt,V2)) , Marked_U16(isNat(V2))>
<Marked_active(U15(tt,V2)) , Marked_isNat(V2)>
<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,V2)) , Marked_U32(isNatKind(V2))>
<Marked_active(U31(tt,V2)) , Marked_isNatKind(V2)>
<Marked_active(U51(tt,N)) , Marked_U52(isNatKind(N),N)>
<Marked_active(U51(tt,N)) , Marked_isNatKind(N)>
<Marked_active(U61(tt,M,N)) , Marked_U62(isNatKind(M),M,N)>
<Marked_active(U61(tt,M,N)) , Marked_isNatKind(M)>
<Marked_active(U62(tt,M,N)) , Marked_U63(isNat(N),M,N)>
<Marked_active(U62(tt,M,N)) , Marked_isNat(N)>
<Marked_active(U63(tt,M,N)) , Marked_U64(isNatKind(N),M,N)>
<Marked_active(U63(tt,M,N)) , Marked_isNatKind(N)>
<Marked_active(U64(tt,M,N)) , Marked_s(plus(N,M))>
<Marked_active(U64(tt,M,N)) , Marked_plus(N,M)>
<Marked_active(isNat(plus(V1,V2))) , Marked_U11(isNatKind(V1),V1,V2)>
<Marked_active(isNat(plus(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNat(s(V1))) , Marked_U21(isNatKind(V1),V1)>
<Marked_active(isNat(s(V1))) , Marked_isNatKind(V1)>
<Marked_active(isNatKind(plus(V1,V2))) , Marked_U31(isNatKind(V1),V2)>
<Marked_active(isNatKind(plus(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatKind(s(V1))) , Marked_U41(isNatKind(V1))>
<Marked_active(isNatKind(s(V1))) , Marked_isNatKind(V1)>
<Marked_active(plus(N,0)) , Marked_U51(isNat(N),N)>
<Marked_active(plus(N,0)) , Marked_isNat(N)>
<Marked_active(plus(N,s(M))) , Marked_U61(isNat(M),M,N)>
<Marked_active(plus(N,s(M))) , Marked_isNat(M)>
<Marked_active(U11(X1,X2,X3)) , Marked_U11(active(X1),X2,X3)>
<Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U12(X1,X2,X3)) , Marked_U12(active(X1),X2,X3)>
<Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U13(X1,X2,X3)) , Marked_U13(active(X1),X2,X3)>
<Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U14(X1,X2,X3)) , Marked_U14(active(X1),X2,X3)>
<Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U15(X1,X2)) , Marked_U15(active(X1),X2)>
<Marked_active(U15(X1,X2)) , Marked_active(X1)>
<Marked_active(U16(X)) , Marked_U16(active(X))>
<Marked_active(U16(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(X)) , Marked_U32(active(X))>
<Marked_active(U32(X)) , Marked_active(X)>
<Marked_active(U41(X)) , Marked_U41(active(X))>
<Marked_active(U41(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(X1,X2)) , Marked_U52(active(X1),X2)>
<Marked_active(U52(X1,X2)) , Marked_active(X1)>
<Marked_active(U61(X1,X2,X3)) , Marked_U61(active(X1),X2,X3)>
<Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U62(X1,X2,X3)) , Marked_U62(active(X1),X2,X3)>
<Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U63(X1,X2,X3)) , Marked_U63(active(X1),X2,X3)>
<Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U64(X1,X2,X3)) , Marked_U64(active(X1),X2,X3)>
<Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(s(X)) , Marked_s(active(X))>
<Marked_active(s(X)) , Marked_active(X)>
<Marked_active(plus(X1,X2)) , Marked_plus(active(X1),X2)>
<Marked_active(plus(X1,X2)) , Marked_active(X1)>
<Marked_active(plus(X1,X2)) , Marked_plus(X1,active(X2))>
<Marked_active(plus(X1,X2)) , Marked_active(X2)>
<Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U13(mark(X1),X2,X3) , Marked_U13(X1,X2,X3)>
<Marked_U14(mark(X1),X2,X3) , Marked_U14(X1,X2,X3)>
<Marked_U15(mark(X1),X2) , Marked_U15(X1,X2)>
<Marked_U16(mark(X)) , Marked_U16(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(X)) , Marked_U32(X)>
<Marked_U41(mark(X)) , Marked_U41(X)>
<Marked_U51(mark(X1),X2) , Marked_U51(X1,X2)>
<Marked_U52(mark(X1),X2) , Marked_U52(X1,X2)>
<Marked_U61(mark(X1),X2,X3) , Marked_U61(X1,X2,X3)>
<Marked_U62(mark(X1),X2,X3) , Marked_U62(X1,X2,X3)>
<Marked_U63(mark(X1),X2,X3) , Marked_U63(X1,X2,X3)>
<Marked_U64(mark(X1),X2,X3) , Marked_U64(X1,X2,X3)>
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
<Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)>
<Marked_proper(U11(X1,X2,X3)) , Marked_U11(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U12(X1,X2,X3)) , Marked_U12(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(isNatKind(X)) , Marked_isNatKind(proper(X))>
<Marked_proper(isNatKind(X)) , Marked_proper(X)>
<Marked_proper(U13(X1,X2,X3)) , Marked_U13(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U14(X1,X2,X3)) , Marked_U14(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U15(X1,X2)) , Marked_U15(proper(X1),proper(X2))>
<Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
<Marked_proper(isNat(X)) , Marked_isNat(proper(X))>
<Marked_proper(isNat(X)) , Marked_proper(X)>
<Marked_proper(U16(X)) , Marked_U16(proper(X))>
<Marked_proper(U16(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(U23(X)) , Marked_U23(proper(X))>
<Marked_proper(U23(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(X)) , Marked_U32(proper(X))>
<Marked_proper(U32(X)) , Marked_proper(X)>
<Marked_proper(U41(X)) , Marked_U41(proper(X))>
<Marked_proper(U41(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(X1,X2)) , Marked_U52(proper(X1),proper(X2))>
<Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U61(X1,X2,X3)) , Marked_U61(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U62(X1,X2,X3)) , Marked_U62(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U63(X1,X2,X3)) , Marked_U63(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U64(X1,X2,X3)) , Marked_U64(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(s(X)) , Marked_s(proper(X))>
<Marked_proper(s(X)) , Marked_proper(X)>
<Marked_proper(plus(X1,X2)) , Marked_plus(proper(X1),proper(X2))>
<Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
<Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
<Marked_U11(ok(X1),ok(X2),ok(X3)) , Marked_U11(X1,X2,X3)>
<Marked_U12(ok(X1),ok(X2),ok(X3)) , Marked_U12(X1,X2,X3)>
<Marked_isNatKind(ok(X)) , Marked_isNatKind(X)>
<Marked_U13(ok(X1),ok(X2),ok(X3)) , Marked_U13(X1,X2,X3)>
<Marked_U14(ok(X1),ok(X2),ok(X3)) , Marked_U14(X1,X2,X3)>
<Marked_U15(ok(X1),ok(X2)) , Marked_U15(X1,X2)>
<Marked_isNat(ok(X)) , Marked_isNat(X)>
<Marked_U16(ok(X)) , Marked_U16(X)>
<Marked_U21(ok(X1),ok(X2)) , Marked_U21(X1,X2)>
<Marked_U22(ok(X1),ok(X2)) , Marked_U22(X1,X2)>
<Marked_U23(ok(X)) , Marked_U23(X)>
<Marked_U31(ok(X1),ok(X2)) , Marked_U31(X1,X2)>
<Marked_U32(ok(X)) , Marked_U32(X)>
<Marked_U41(ok(X)) , Marked_U41(X)>
<Marked_U51(ok(X1),ok(X2)) , Marked_U51(X1,X2)>
<Marked_U52(ok(X1),ok(X2)) , Marked_U52(X1,X2)>
<Marked_U61(ok(X1),ok(X2),ok(X3)) , Marked_U61(X1,X2,X3)>
<Marked_U62(ok(X1),ok(X2),ok(X3)) , Marked_U62(X1,X2,X3)>
<Marked_U63(ok(X1),ok(X2),ok(X3)) , Marked_U63(X1,X2,X3)>
<Marked_U64(ok(X1),ok(X2),ok(X3)) , Marked_U64(X1,X2,X3)>
<Marked_s(ok(X)) , Marked_s(X)>
<Marked_plus(ok(X1),ok(X2)) , Marked_plus(X1,X2)>
<Marked_top(mark(X)) , Marked_top(proper(X))>
<Marked_top(mark(X)) , Marked_proper(X)>
<Marked_top(ok(X)) , Marked_top(active(X))>
<Marked_top(ok(X)) , Marked_active(X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 25 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(plus(X1,X2)) , Marked_proper(X2)> 
      --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <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(U41(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <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(U23(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(U16(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <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(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <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(U41(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <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(U23(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(U16(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(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <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(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <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(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <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(U41(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <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(U23(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(U16(X)) , Marked_proper(X)>
  <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(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <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(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <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(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <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(U41(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <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(U23(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(U16(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(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <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(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <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(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <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(U41(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <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(U23(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(U16(X)) , Marked_proper(X)>
  <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(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <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(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <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(U41(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <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(U23(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(U16(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <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(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <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(U41(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <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(U23(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(U16(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(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <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(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <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(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <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(U41(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <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(U23(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(U16(X)) , Marked_proper(X)>
  <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(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <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(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <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(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <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(U41(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <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(U23(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(U16(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(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <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(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <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(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <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(U41(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <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(U23(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(U16(X)) , Marked_proper(X)>
  <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(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <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(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <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(U41(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <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(U23(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(U16(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <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(U41(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <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(U23(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(U16(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U64(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
}

{  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
      --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <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(U16(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <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(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <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(U41(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <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(U16(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <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(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <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(U41(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <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(U16(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <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(U16(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <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(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <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(U41(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <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(U16(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <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(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <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(U41(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <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(U16(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U64(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U63(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
}

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

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

{  <Marked_U11(ok(X1),ok(X2),ok(X3)) , Marked_U11(X1,X2,X3)> 
      --> <Marked_U11(ok(X1),ok(X2),ok(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(ok(X1),ok(X2),ok(X3)) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(ok(X1),ok(X2),ok(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
}

{  <Marked_U12(ok(X1),ok(X2),ok(X3)) , Marked_U12(X1,X2,X3)> 
      --> <Marked_U12(ok(X1),ok(X2),ok(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(ok(X1),ok(X2),ok(X3)) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(ok(X1),ok(X2),ok(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
}

{  <Marked_U13(ok(X1),ok(X2),ok(X3)) , Marked_U13(X1,X2,X3)> 
      --> <Marked_U13(ok(X1),ok(X2),ok(X3)) , Marked_U13(X1,X2,X3)>
  <Marked_U13(ok(X1),ok(X2),ok(X3)) , Marked_U13(X1,X2,X3)> 
     --> <Marked_U13(mark(X1),X2,X3) , Marked_U13(X1,X2,X3)>
  <Marked_U13(mark(X1),X2,X3) , Marked_U13(X1,X2,X3)> 
     --> <Marked_U13(ok(X1),ok(X2),ok(X3)) , Marked_U13(X1,X2,X3)>
  <Marked_U13(mark(X1),X2,X3) , Marked_U13(X1,X2,X3)> 
     --> <Marked_U13(mark(X1),X2,X3) , Marked_U13(X1,X2,X3)>
}

{  <Marked_U14(ok(X1),ok(X2),ok(X3)) , Marked_U14(X1,X2,X3)> 
      --> <Marked_U14(ok(X1),ok(X2),ok(X3)) , Marked_U14(X1,X2,X3)>
  <Marked_U14(ok(X1),ok(X2),ok(X3)) , Marked_U14(X1,X2,X3)> 
     --> <Marked_U14(mark(X1),X2,X3) , Marked_U14(X1,X2,X3)>
  <Marked_U14(mark(X1),X2,X3) , Marked_U14(X1,X2,X3)> 
     --> <Marked_U14(ok(X1),ok(X2),ok(X3)) , Marked_U14(X1,X2,X3)>
  <Marked_U14(mark(X1),X2,X3) , Marked_U14(X1,X2,X3)> 
     --> <Marked_U14(mark(X1),X2,X3) , Marked_U14(X1,X2,X3)>
}

{  <Marked_U15(ok(X1),ok(X2)) , Marked_U15(X1,X2)> 
      --> <Marked_U15(ok(X1),ok(X2)) , Marked_U15(X1,X2)>
  <Marked_U15(ok(X1),ok(X2)) , Marked_U15(X1,X2)> 
     --> <Marked_U15(mark(X1),X2) , Marked_U15(X1,X2)>
  <Marked_U15(mark(X1),X2) , Marked_U15(X1,X2)> 
     --> <Marked_U15(ok(X1),ok(X2)) , Marked_U15(X1,X2)>
  <Marked_U15(mark(X1),X2) , Marked_U15(X1,X2)> 
     --> <Marked_U15(mark(X1),X2) , Marked_U15(X1,X2)>
}

{  <Marked_U16(ok(X)) , Marked_U16(X)> --> <Marked_U16(ok(X)) , Marked_U16(X)>
  <Marked_U16(ok(X)) , Marked_U16(X)> --> <Marked_U16(mark(X)) , Marked_U16(X)>
  <Marked_U16(mark(X)) , Marked_U16(X)> --> <Marked_U16(ok(X)) , Marked_U16(X)>
  <Marked_U16(mark(X)) , Marked_U16(X)> 
     --> <Marked_U16(mark(X)) , Marked_U16(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(X)) , Marked_U32(X)> --> <Marked_U32(ok(X)) , Marked_U32(X)>
  <Marked_U32(ok(X)) , Marked_U32(X)> --> <Marked_U32(mark(X)) , Marked_U32(X)>
  <Marked_U32(mark(X)) , Marked_U32(X)> --> <Marked_U32(ok(X)) , Marked_U32(X)>
  <Marked_U32(mark(X)) , Marked_U32(X)> 
     --> <Marked_U32(mark(X)) , Marked_U32(X)>
}

{  <Marked_U41(ok(X)) , Marked_U41(X)> --> <Marked_U41(ok(X)) , Marked_U41(X)>
  <Marked_U41(ok(X)) , Marked_U41(X)> --> <Marked_U41(mark(X)) , Marked_U41(X)>
  <Marked_U41(mark(X)) , Marked_U41(X)> --> <Marked_U41(ok(X)) , Marked_U41(X)>
  <Marked_U41(mark(X)) , Marked_U41(X)> 
     --> <Marked_U41(mark(X)) , Marked_U41(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(X1),ok(X2)) , Marked_U52(X1,X2)> 
      --> <Marked_U52(ok(X1),ok(X2)) , Marked_U52(X1,X2)>
  <Marked_U52(ok(X1),ok(X2)) , Marked_U52(X1,X2)> 
     --> <Marked_U52(mark(X1),X2) , Marked_U52(X1,X2)>
  <Marked_U52(mark(X1),X2) , Marked_U52(X1,X2)> 
     --> <Marked_U52(ok(X1),ok(X2)) , Marked_U52(X1,X2)>
  <Marked_U52(mark(X1),X2) , Marked_U52(X1,X2)> 
     --> <Marked_U52(mark(X1),X2) , Marked_U52(X1,X2)>
}

{  <Marked_U61(ok(X1),ok(X2),ok(X3)) , Marked_U61(X1,X2,X3)> 
      --> <Marked_U61(ok(X1),ok(X2),ok(X3)) , Marked_U61(X1,X2,X3)>
  <Marked_U61(ok(X1),ok(X2),ok(X3)) , Marked_U61(X1,X2,X3)> 
     --> <Marked_U61(mark(X1),X2,X3) , Marked_U61(X1,X2,X3)>
  <Marked_U61(mark(X1),X2,X3) , Marked_U61(X1,X2,X3)> 
     --> <Marked_U61(ok(X1),ok(X2),ok(X3)) , Marked_U61(X1,X2,X3)>
  <Marked_U61(mark(X1),X2,X3) , Marked_U61(X1,X2,X3)> 
     --> <Marked_U61(mark(X1),X2,X3) , Marked_U61(X1,X2,X3)>
}

{  <Marked_U62(ok(X1),ok(X2),ok(X3)) , Marked_U62(X1,X2,X3)> 
      --> <Marked_U62(ok(X1),ok(X2),ok(X3)) , Marked_U62(X1,X2,X3)>
  <Marked_U62(ok(X1),ok(X2),ok(X3)) , Marked_U62(X1,X2,X3)> 
     --> <Marked_U62(mark(X1),X2,X3) , Marked_U62(X1,X2,X3)>
  <Marked_U62(mark(X1),X2,X3) , Marked_U62(X1,X2,X3)> 
     --> <Marked_U62(ok(X1),ok(X2),ok(X3)) , Marked_U62(X1,X2,X3)>
  <Marked_U62(mark(X1),X2,X3) , Marked_U62(X1,X2,X3)> 
     --> <Marked_U62(mark(X1),X2,X3) , Marked_U62(X1,X2,X3)>
}

{  <Marked_U63(ok(X1),ok(X2),ok(X3)) , Marked_U63(X1,X2,X3)> 
      --> <Marked_U63(ok(X1),ok(X2),ok(X3)) , Marked_U63(X1,X2,X3)>
  <Marked_U63(ok(X1),ok(X2),ok(X3)) , Marked_U63(X1,X2,X3)> 
     --> <Marked_U63(mark(X1),X2,X3) , Marked_U63(X1,X2,X3)>
  <Marked_U63(mark(X1),X2,X3) , Marked_U63(X1,X2,X3)> 
     --> <Marked_U63(ok(X1),ok(X2),ok(X3)) , Marked_U63(X1,X2,X3)>
  <Marked_U63(mark(X1),X2,X3) , Marked_U63(X1,X2,X3)> 
     --> <Marked_U63(mark(X1),X2,X3) , Marked_U63(X1,X2,X3)>
}

{  <Marked_U64(ok(X1),ok(X2),ok(X3)) , Marked_U64(X1,X2,X3)> 
      --> <Marked_U64(ok(X1),ok(X2),ok(X3)) , Marked_U64(X1,X2,X3)>
  <Marked_U64(ok(X1),ok(X2),ok(X3)) , Marked_U64(X1,X2,X3)> 
     --> <Marked_U64(mark(X1),X2,X3) , Marked_U64(X1,X2,X3)>
  <Marked_U64(mark(X1),X2,X3) , Marked_U64(X1,X2,X3)> 
     --> <Marked_U64(ok(X1),ok(X2),ok(X3)) , Marked_U64(X1,X2,X3)>
  <Marked_U64(mark(X1),X2,X3) , Marked_U64(X1,X2,X3)> 
     --> <Marked_U64(mark(X1),X2,X3) , Marked_U64(X1,X2,X3)>
}

{  <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_plus(ok(X1),ok(X2)) , Marked_plus(X1,X2)> 
      --> <Marked_plus(ok(X1),ok(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(ok(X1),ok(X2)) , Marked_plus(X1,X2)> 
     --> <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(ok(X1),ok(X2)) , Marked_plus(X1,X2)> 
     --> <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
  <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)> 
     --> <Marked_plus(ok(X1),ok(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)> 
     --> <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)> 
     --> <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
  <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(ok(X1),ok(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  U12(mark(X1),X2,X3) >= mark(U12(X1,X2,X3)) ;
  U12(ok(X1),ok(X2),ok(X3)) >= ok(U12(X1,X2,X3)) ;
  isNatKind(ok(X)) >= ok(isNatKind(X)) ;
  active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) ;
  active(U12(X1,X2,X3)) >= U12(active(X1),X2,X3) ;
  active(isNatKind(s(V1))) >= mark(U41(isNatKind(V1))) ;
  active(isNatKind(plus(V1,V2))) >= mark(U31(isNatKind(V1),V2)) ;
  active(isNatKind(0)) >= mark(tt) ;
  active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) ;
  active(U11(X1,X2,X3)) >= U11(active(X1),X2,X3) ;
  active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) ;
  active(U13(X1,X2,X3)) >= U13(active(X1),X2,X3) ;
  active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) ;
  active(U14(X1,X2,X3)) >= U14(active(X1),X2,X3) ;
  active(U15(tt,V2)) >= mark(U16(isNat(V2))) ;
  active(U15(X1,X2)) >= U15(active(X1),X2) ;
  active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ;
  active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) ;
  active(isNat(0)) >= mark(tt) ;
  active(U16(tt)) >= mark(tt) ;
  active(U16(X)) >= U16(active(X)) ;
  active(U22(tt,V1)) >= mark(U23(isNat(V1))) ;
  active(U22(X1,X2)) >= U22(active(X1),X2) ;
  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(U32(tt)) >= mark(tt) ;
  active(U32(X)) >= U32(active(X)) ;
  active(U31(tt,V2)) >= mark(U32(isNatKind(V2))) ;
  active(U31(X1,X2)) >= U31(active(X1),X2) ;
  active(U41(tt)) >= mark(tt) ;
  active(U41(X)) >= U41(active(X)) ;
  active(U52(tt,N)) >= mark(N) ;
  active(U52(X1,X2)) >= U52(active(X1),X2) ;
  active(U51(tt,N)) >= mark(U52(isNatKind(N),N)) ;
  active(U51(X1,X2)) >= U51(active(X1),X2) ;
  active(U62(tt,M,N)) >= mark(U63(isNat(N),M,N)) ;
  active(U62(X1,X2,X3)) >= U62(active(X1),X2,X3) ;
  active(U61(tt,M,N)) >= mark(U62(isNatKind(M),M,N)) ;
  active(U61(X1,X2,X3)) >= U61(active(X1),X2,X3) ;
  active(U63(tt,M,N)) >= mark(U64(isNatKind(N),M,N)) ;
  active(U63(X1,X2,X3)) >= U63(active(X1),X2,X3) ;
  active(U64(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U64(X1,X2,X3)) >= U64(active(X1),X2,X3) ;
  active(s(X)) >= s(active(X)) ;
  active(plus(N,s(M))) >= mark(U61(isNat(M),M,N)) ;
  active(plus(N,0)) >= mark(U51(isNat(N),N)) ;
  active(plus(X1,X2)) >= plus(active(X1),X2) ;
  active(plus(X1,X2)) >= plus(X1,active(X2)) ;
  U11(mark(X1),X2,X3) >= mark(U11(X1,X2,X3)) ;
  U11(ok(X1),ok(X2),ok(X3)) >= ok(U11(X1,X2,X3)) ;
  U13(mark(X1),X2,X3) >= mark(U13(X1,X2,X3)) ;
  U13(ok(X1),ok(X2),ok(X3)) >= ok(U13(X1,X2,X3)) ;
  U14(mark(X1),X2,X3) >= mark(U14(X1,X2,X3)) ;
  U14(ok(X1),ok(X2),ok(X3)) >= ok(U14(X1,X2,X3)) ;
  U15(mark(X1),X2) >= mark(U15(X1,X2)) ;
  U15(ok(X1),ok(X2)) >= ok(U15(X1,X2)) ;
  isNat(ok(X)) >= ok(isNat(X)) ;
  U16(mark(X)) >= mark(U16(X)) ;
  U16(ok(X)) >= ok(U16(X)) ;
  U22(mark(X1),X2) >= mark(U22(X1,X2)) ;
  U22(ok(X1),ok(X2)) >= ok(U22(X1,X2)) ;
  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)) ;
  U32(mark(X)) >= mark(U32(X)) ;
  U32(ok(X)) >= ok(U32(X)) ;
  U31(mark(X1),X2) >= mark(U31(X1,X2)) ;
  U31(ok(X1),ok(X2)) >= ok(U31(X1,X2)) ;
  U41(mark(X)) >= mark(U41(X)) ;
  U41(ok(X)) >= ok(U41(X)) ;
  U52(mark(X1),X2) >= mark(U52(X1,X2)) ;
  U52(ok(X1),ok(X2)) >= ok(U52(X1,X2)) ;
  U51(mark(X1),X2) >= mark(U51(X1,X2)) ;
  U51(ok(X1),ok(X2)) >= ok(U51(X1,X2)) ;
  U62(mark(X1),X2,X3) >= mark(U62(X1,X2,X3)) ;
  U62(ok(X1),ok(X2),ok(X3)) >= ok(U62(X1,X2,X3)) ;
  U61(mark(X1),X2,X3) >= mark(U61(X1,X2,X3)) ;
  U61(ok(X1),ok(X2),ok(X3)) >= ok(U61(X1,X2,X3)) ;
  U63(mark(X1),X2,X3) >= mark(U63(X1,X2,X3)) ;
  U63(ok(X1),ok(X2),ok(X3)) >= ok(U63(X1,X2,X3)) ;
  U64(mark(X1),X2,X3) >= mark(U64(X1,X2,X3)) ;
  U64(ok(X1),ok(X2),ok(X3)) >= ok(U64(X1,X2,X3)) ;
  s(mark(X)) >= mark(s(X)) ;
  s(ok(X)) >= ok(s(X)) ;
  plus(mark(X1),X2) >= mark(plus(X1,X2)) ;
  plus(ok(X1),ok(X2)) >= ok(plus(X1,X2)) ;
  plus(X1,mark(X2)) >= mark(plus(X1,X2)) ;
  proper(U12(X1,X2,X3)) >= U12(proper(X1),proper(X2),proper(X3)) ;
  proper(isNatKind(X)) >= isNatKind(proper(X)) ;
  proper(U11(X1,X2,X3)) >= U11(proper(X1),proper(X2),proper(X3)) ;
  proper(tt) >= ok(tt) ;
  proper(U13(X1,X2,X3)) >= U13(proper(X1),proper(X2),proper(X3)) ;
  proper(U14(X1,X2,X3)) >= U14(proper(X1),proper(X2),proper(X3)) ;
  proper(U15(X1,X2)) >= U15(proper(X1),proper(X2)) ;
  proper(isNat(X)) >= isNat(proper(X)) ;
  proper(U16(X)) >= U16(proper(X)) ;
  proper(U22(X1,X2)) >= U22(proper(X1),proper(X2)) ;
  proper(U21(X1,X2)) >= U21(proper(X1),proper(X2)) ;
  proper(U23(X)) >= U23(proper(X)) ;
  proper(U32(X)) >= U32(proper(X)) ;
  proper(U31(X1,X2)) >= U31(proper(X1),proper(X2)) ;
  proper(U41(X)) >= U41(proper(X)) ;
  proper(U52(X1,X2)) >= U52(proper(X1),proper(X2)) ;
  proper(U51(X1,X2)) >= U51(proper(X1),proper(X2)) ;
  proper(U62(X1,X2,X3)) >= U62(proper(X1),proper(X2),proper(X3)) ;
  proper(U61(X1,X2,X3)) >= U61(proper(X1),proper(X2),proper(X3)) ;
  proper(U63(X1,X2,X3)) >= U63(proper(X1),proper(X2),proper(X3)) ;
  proper(U64(X1,X2,X3)) >= U64(proper(X1),proper(X2),proper(X3)) ;
  proper(s(X)) >= s(proper(X)) ;
  proper(plus(X1,X2)) >= plus(proper(X1),proper(X2)) ;
  proper(0) >= ok(0) ;
  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:
{
  U12(mark(X1),X2,X3) >= mark(U12(X1,X2,X3)) ;
  U12(ok(X1),ok(X2),ok(X3)) >= ok(U12(X1,X2,X3)) ;
  isNatKind(ok(X)) >= ok(isNatKind(X)) ;
  active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) ;
  active(U12(X1,X2,X3)) >= U12(active(X1),X2,X3) ;
  active(isNatKind(s(V1))) >= mark(U41(isNatKind(V1))) ;
  active(isNatKind(plus(V1,V2))) >= mark(U31(isNatKind(V1),V2)) ;
  active(isNatKind(0)) >= mark(tt) ;
  active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) ;
  active(U11(X1,X2,X3)) >= U11(active(X1),X2,X3) ;
  active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) ;
  active(U13(X1,X2,X3)) >= U13(active(X1),X2,X3) ;
  active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) ;
  active(U14(X1,X2,X3)) >= U14(active(X1),X2,X3) ;
  active(U15(tt,V2)) >= mark(U16(isNat(V2))) ;
  active(U15(X1,X2)) >= U15(active(X1),X2) ;
  active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ;
  active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) ;
  active(isNat(0)) >= mark(tt) ;
  active(U16(tt)) >= mark(tt) ;
  active(U16(X)) >= U16(active(X)) ;
  active(U22(tt,V1)) >= mark(U23(isNat(V1))) ;
  active(U22(X1,X2)) >= U22(active(X1),X2) ;
  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(U32(tt)) >= mark(tt) ;
  active(U32(X)) >= U32(active(X)) ;
  active(U31(tt,V2)) >= mark(U32(isNatKind(V2))) ;
  active(U31(X1,X2)) >= U31(active(X1),X2) ;
  active(U41(tt)) >= mark(tt) ;
  active(U41(X)) >= U41(active(X)) ;
  active(U52(tt,N)) >= mark(N) ;
  active(U52(X1,X2)) >= U52(active(X1),X2) ;
  active(U51(tt,N)) >= mark(U52(isNatKind(N),N)) ;
  active(U51(X1,X2)) >= U51(active(X1),X2) ;
  active(U62(tt,M,N)) >= mark(U63(isNat(N),M,N)) ;
  active(U62(X1,X2,X3)) >= U62(active(X1),X2,X3) ;
  active(U61(tt,M,N)) >= mark(U62(isNatKind(M),M,N)) ;
  active(U61(X1,X2,X3)) >= U61(active(X1),X2,X3) ;
  active(U63(tt,M,N)) >= mark(U64(isNatKind(N),M,N)) ;
  active(U63(X1,X2,X3)) >= U63(active(X1),X2,X3) ;
  active(U64(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U64(X1,X2,X3)) >= U64(active(X1),X2,X3) ;
  active(s(X)) >= s(active(X)) ;
  active(plus(N,s(M))) >= mark(U61(isNat(M),M,N)) ;
  active(plus(N,0)) >= mark(U51(isNat(N),N)) ;
  active(plus(X1,X2)) >= plus(active(X1),X2) ;
  active(plus(X1,X2)) >= plus(X1,active(X2)) ;
  U11(mark(X1),X2,X3) >= mark(U11(X1,X2,X3)) ;
  U11(ok(X1),ok(X2),ok(X3)) >= ok(U11(X1,X2,X3)) ;
  U13(mark(X1),X2,X3) >= mark(U13(X1,X2,X3)) ;
  U13(ok(X1),ok(X2),ok(X3)) >= ok(U13(X1,X2,X3)) ;
  U14(mark(X1),X2,X3) >= mark(U14(X1,X2,X3)) ;
  U14(ok(X1),ok(X2),ok(X3)) >= ok(U14(X1,X2,X3)) ;
  U15(mark(X1),X2) >= mark(U15(X1,X2)) ;
  U15(ok(X1),ok(X2)) >= ok(U15(X1,X2)) ;
  isNat(ok(X)) >= ok(isNat(X)) ;
  U16(mark(X)) >= mark(U16(X)) ;
  U16(ok(X)) >= ok(U16(X)) ;
  U22(mark(X1),X2) >= mark(U22(X1,X2)) ;
  U22(ok(X1),ok(X2)) >= ok(U22(X1,X2)) ;
  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)) ;
  U32(mark(X)) >= mark(U32(X)) ;
  U32(ok(X)) >= ok(U32(X)) ;
  U31(mark(X1),X2) >= mark(U31(X1,X2)) ;
  U31(ok(X1),ok(X2)) >= ok(U31(X1,X2)) ;
  U41(mark(X)) >= mark(U41(X)) ;
  U41(ok(X)) >= ok(U41(X)) ;
  U52(mark(X1),X2) >= mark(U52(X1,X2)) ;
  U52(ok(X1),ok(X2)) >= ok(U52(X1,X2)) ;
  U51(mark(X1),X2) >= mark(U51(X1,X2)) ;
  U51(ok(X1),ok(X2)) >= ok(U51(X1,X2)) ;
  U62(mark(X1),X2,X3) >= mark(U62(X1,X2,X3)) ;
  U62(ok(X1),ok(X2),ok(X3)) >= ok(U62(X1,X2,X3)) ;
  U61(mark(X1),X2,X3) >= mark(U61(X1,X2,X3)) ;
  U61(ok(X1),ok(X2),ok(X3)) >= ok(U61(X1,X2,X3)) ;
  U63(mark(X1),X2,X3) >= mark(U63(X1,X2,X3)) ;
  U63(ok(X1),ok(X2),ok(X3)) >= ok(U63(X1,X2,X3)) ;
  U64(mark(X1),X2,X3) >= mark(U64(X1,X2,X3)) ;
  U64(ok(X1),ok(X2),ok(X3)) >= ok(U64(X1,X2,X3)) ;
  s(mark(X)) >= mark(s(X)) ;
  s(ok(X)) >= ok(s(X)) ;
  plus(mark(X1),X2) >= mark(plus(X1,X2)) ;
  plus(ok(X1),ok(X2)) >= ok(plus(X1,X2)) ;
  plus(X1,mark(X2)) >= mark(plus(X1,X2)) ;
  proper(U12(X1,X2,X3)) >= U12(proper(X1),proper(X2),proper(X3)) ;
  proper(isNatKind(X)) >= isNatKind(proper(X)) ;
  proper(U11(X1,X2,X3)) >= U11(proper(X1),proper(X2),proper(X3)) ;
  proper(tt) >= ok(tt) ;
  proper(U13(X1,X2,X3)) >= U13(proper(X1),proper(X2),proper(X3)) ;
  proper(U14(X1,X2,X3)) >= U14(proper(X1),proper(X2),proper(X3)) ;
  proper(U15(X1,X2)) >= U15(proper(X1),proper(X2)) ;
  proper(isNat(X)) >= isNat(proper(X)) ;
  proper(U16(X)) >= U16(proper(X)) ;
  proper(U22(X1,X2)) >= U22(proper(X1),proper(X2)) ;
  proper(U21(X1,X2)) >= U21(proper(X1),proper(X2)) ;
  proper(U23(X)) >= U23(proper(X)) ;
  proper(U32(X)) >= U32(proper(X)) ;
  proper(U31(X1,X2)) >= U31(proper(X1),proper(X2)) ;
  proper(U41(X)) >= U41(proper(X)) ;
  proper(U52(X1,X2)) >= U52(proper(X1),proper(X2)) ;
  proper(U51(X1,X2)) >= U51(proper(X1),proper(X2)) ;
  proper(U62(X1,X2,X3)) >= U62(proper(X1),proper(X2),proper(X3)) ;
  proper(U61(X1,X2,X3)) >= U61(proper(X1),proper(X2),proper(X3)) ;
  proper(U63(X1,X2,X3)) >= U63(proper(X1),proper(X2),proper(X3)) ;
  proper(U64(X1,X2,X3)) >= U64(proper(X1),proper(X2),proper(X3)) ;
  proper(s(X)) >= s(proper(X)) ;
  proper(plus(X1,X2)) >= plus(proper(X1),proper(X2)) ;
  proper(0) >= ok(0) ;
  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:
{
  U12(mark(X1),X2,X3) >= mark(U12(X1,X2,X3)) ;
  U12(ok(X1),ok(X2),ok(X3)) >= ok(U12(X1,X2,X3)) ;
  isNatKind(ok(X)) >= ok(isNatKind(X)) ;
  active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) ;
  active(U12(X1,X2,X3)) >= U12(active(X1),X2,X3) ;
  active(isNatKind(s(V1))) >= mark(U41(isNatKind(V1))) ;
  active(isNatKind(plus(V1,V2))) >= mark(U31(isNatKind(V1),V2)) ;
  active(isNatKind(0)) >= mark(tt) ;
  active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) ;
  active(U11(X1,X2,X3)) >= U11(active(X1),X2,X3) ;
  active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) ;
  active(U13(X1,X2,X3)) >= U13(active(X1),X2,X3) ;
  active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) ;
  active(U14(X1,X2,X3)) >= U14(active(X1),X2,X3) ;
  active(U15(tt,V2)) >= mark(U16(isNat(V2))) ;
  active(U15(X1,X2)) >= U15(active(X1),X2) ;
  active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ;
  active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) ;
  active(isNat(0)) >= mark(tt) ;
  active(U16(tt)) >= mark(tt) ;
  active(U16(X)) >= U16(active(X)) ;
  active(U22(tt,V1)) >= mark(U23(isNat(V1))) ;
  active(U22(X1,X2)) >= U22(active(X1),X2) ;
  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(U32(tt)) >= mark(tt) ;
  active(U32(X)) >= U32(active(X)) ;
  active(U31(tt,V2)) >= mark(U32(isNatKind(V2))) ;
  active(U31(X1,X2)) >= U31(active(X1),X2) ;
  active(U41(tt)) >= mark(tt) ;
  active(U41(X)) >= U41(active(X)) ;
  active(U52(tt,N)) >= mark(N) ;
  active(U52(X1,X2)) >= U52(active(X1),X2) ;
  active(U51(tt,N)) >= mark(U52(isNatKind(N),N)) ;
  active(U51(X1,X2)) >= U51(active(X1),X2) ;
  active(U62(tt,M,N)) >= mark(U63(isNat(N),M,N)) ;
  active(U62(X1,X2,X3)) >= U62(active(X1),X2,X3) ;
  active(U61(tt,M,N)) >= mark(U62(isNatKind(M),M,N)) ;
  active(U61(X1,X2,X3)) >= U61(active(X1),X2,X3) ;
  active(U63(tt,M,N)) >= mark(U64(isNatKind(N),M,N)) ;
  active(U63(X1,X2,X3)) >= U63(active(X1),X2,X3) ;
  active(U64(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U64(X1,X2,X3)) >= U64(active(X1),X2,X3) ;
  active(s(X)) >= s(active(X)) ;
  active(plus(N,s(M))) >= mark(U61(isNat(M),M,N)) ;
  active(plus(N,0)) >= mark(U51(isNat(N),N)) ;
  active(plus(X1,X2)) >= plus(active(X1),X2) ;
  active(plus(X1,X2)) >= plus(X1,active(X2)) ;
  U11(mark(X1),X2,X3) >= mark(U11(X1,X2,X3)) ;
  U11(ok(X1),ok(X2),ok(X3)) >= ok(U11(X1,X2,X3)) ;
  U13(mark(X1),X2,X3) >= mark(U13(X1,X2,X3)) ;
  U13(ok(X1),ok(X2),ok(X3)) >= ok(U13(X1,X2,X3)) ;
  U14(mark(X1),X2,X3) >= mark(U14(X1,X2,X3)) ;
  U14(ok(X1),ok(X2),ok(X3)) >= ok(U14(X1,X2,X3)) ;
  U15(mark(X1),X2) >= mark(U15(X1,X2)) ;
  U15(ok(X1),ok(X2)) >= ok(U15(X1,X2)) ;
  isNat(ok(X)) >= ok(isNat(X)) ;
  U16(mark(X)) >= mark(U16(X)) ;
  U16(ok(X)) >= ok(U16(X)) ;
  U22(mark(X1),X2) >= mark(U22(X1,X2)) ;
  U22(ok(X1),ok(X2)) >= ok(U22(X1,X2)) ;
  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)) ;
  U32(mark(X)) >= mark(U32(X)) ;
  U32(ok(X)) >= ok(U32(X)) ;
  U31(mark(X1),X2) >= mark(U31(X1,X2)) ;
  U31(ok(X1),ok(X2)) >= ok(U31(X1,X2)) ;
  U41(mark(X)) >= mark(U41(X)) ;
  U41(ok(X)) >= ok(U41(X)) ;
  U52(mark(X1),X2) >= mark(U52(X1,X2)) ;
  U52(ok(X1),ok(X2)) >= ok(U52(X1,X2)) ;
  U51(mark(X1),X2) >= mark(U51(X1,X2)) ;
  U51(ok(X1),ok(X2)) >= ok(U51(X1,X2)) ;
  U62(mark(X1),X2,X3) >= mark(U62(X1,X2,X3)) ;
  U62(ok(X1),ok(X2),ok(X3)) >= ok(U62(X1,X2,X3)) ;
  U61(mark(X1),X2,X3) >= mark(U61(X1,X2,X3)) ;
  U61(ok(X1),ok(X2),ok(X3)) >= ok(U61(X1,X2,X3)) ;
  U63(mark(X1),X2,X3) >= mark(U63(X1,X2,X3)) ;
  U63(ok(X1),ok(X2),ok(X3)) >= ok(U63(X1,X2,X3)) ;
  U64(mark(X1),X2,X3) >= mark(U64(X1,X2,X3)) ;
  U64(ok(X1),ok(X2),ok(X3)) >= ok(U64(X1,X2,X3)) ;
  s(mark(X)) >= mark(s(X)) ;
  s(ok(X)) >= ok(s(X)) ;
  plus(mark(X1),X2) >= mark(plus(X1,X2)) ;
  plus(ok(X1),ok(X2)) >= ok(plus(X1,X2)) ;
  plus(X1,mark(X2)) >= mark(plus(X1,X2)) ;
  proper(U12(X1,X2,X3)) >= U12(proper(X1),proper(X2),proper(X3)) ;
  proper(isNatKind(X)) >= isNatKind(proper(X)) ;
  proper(U11(X1,X2,X3)) >= U11(proper(X1),proper(X2),proper(X3)) ;
  proper(tt) >= ok(tt) ;
  proper(U13(X1,X2,X3)) >= U13(proper(X1),proper(X2),proper(X3)) ;
  proper(U14(X1,X2,X3)) >= U14(proper(X1),proper(X2),proper(X3)) ;
  proper(U15(X1,X2)) >= U15(proper(X1),proper(X2)) ;
  proper(isNat(X)) >= isNat(proper(X)) ;
  proper(U16(X)) >= U16(proper(X)) ;
  proper(U22(X1,X2)) >= U22(proper(X1),proper(X2)) ;
  proper(U21(X1,X2)) >= U21(proper(X1),proper(X2)) ;
  proper(U23(X)) >= U23(proper(X)) ;
  proper(U32(X)) >= U32(proper(X)) ;
  proper(U31(X1,X2)) >= U31(proper(X1),proper(X2)) ;
  proper(U41(X)) >= U41(proper(X)) ;
  proper(U52(X1,X2)) >= U52(proper(X1),proper(X2)) ;
  proper(U51(X1,X2)) >= U51(proper(X1),proper(X2)) ;
  proper(U62(X1,X2,X3)) >= U62(proper(X1),proper(X2),proper(X3)) ;
  proper(U61(X1,X2,X3)) >= U61(proper(X1),proper(X2),proper(X3)) ;
  proper(U63(X1,X2,X3)) >= U63(proper(X1),proper(X2),proper(X3)) ;
  proper(U64(X1,X2,X3)) >= U64(proper(X1),proper(X2),proper(X3)) ;
  proper(s(X)) >= s(proper(X)) ;
  proper(plus(X1,X2)) >= plus(proper(X1),proper(X2)) ;
  proper(0) >= ok(0) ;
  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 163.453769 seconds (real time)
Cime Exit Status: 0