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

TRS termination of:
[1] active(U101(tt,M,N)) -> mark(U102(isNatKind(M),M,N))
[2] active(U102(tt,M,N)) -> mark(U103(isNat(N),M,N))
[3] active(U103(tt,M,N)) -> mark(U104(isNatKind(N),M,N))
[4] active(U104(tt,M,N)) -> mark(plus(x(N,M),N))
[5] active(U11(tt,V1,V2)) -> mark(U12(isNatKind(V1),V1,V2))
[6] active(U12(tt,V1,V2)) -> mark(U13(isNatKind(V2),V1,V2))
[7] active(U13(tt,V1,V2)) -> mark(U14(isNatKind(V2),V1,V2))
[8] active(U14(tt,V1,V2)) -> mark(U15(isNat(V1),V2))
[9] active(U15(tt,V2)) -> mark(U16(isNat(V2)))
[10] active(U16(tt)) -> mark(tt)
[11] active(U21(tt,V1)) -> mark(U22(isNatKind(V1),V1))
[12] active(U22(tt,V1)) -> mark(U23(isNat(V1)))
[13] active(U23(tt)) -> mark(tt)
[14] active(U31(tt,V1,V2)) -> mark(U32(isNatKind(V1),V1,V2))
[15] active(U32(tt,V1,V2)) -> mark(U33(isNatKind(V2),V1,V2))
[16] active(U33(tt,V1,V2)) -> mark(U34(isNatKind(V2),V1,V2))
[17] active(U34(tt,V1,V2)) -> mark(U35(isNat(V1),V2))
[18] active(U35(tt,V2)) -> mark(U36(isNat(V2)))
[19] active(U36(tt)) -> mark(tt)
[20] active(U41(tt,V2)) -> mark(U42(isNatKind(V2)))
[21] active(U42(tt)) -> mark(tt)
[22] active(U51(tt)) -> mark(tt)
[23] active(U61(tt,V2)) -> mark(U62(isNatKind(V2)))
[24] active(U62(tt)) -> mark(tt)
[25] active(U71(tt,N)) -> mark(U72(isNatKind(N),N))
[26] active(U72(tt,N)) -> mark(N)
[27] active(U81(tt,M,N)) -> mark(U82(isNatKind(M),M,N))
[28] active(U82(tt,M,N)) -> mark(U83(isNat(N),M,N))
[29] active(U83(tt,M,N)) -> mark(U84(isNatKind(N),M,N))
[30] active(U84(tt,M,N)) -> mark(s(plus(N,M)))
[31] active(U91(tt,N)) -> mark(U92(isNatKind(N)))
[32] active(U92(tt)) -> mark(0)
[33] active(isNat(0)) -> mark(tt)
[34] active(isNat(plus(V1,V2))) -> mark(U11(isNatKind(V1),V1,V2))
[35] active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1))
[36] active(isNat(x(V1,V2))) -> mark(U31(isNatKind(V1),V1,V2))
[37] active(isNatKind(0)) -> mark(tt)
[38] active(isNatKind(plus(V1,V2))) -> mark(U41(isNatKind(V1),V2))
[39] active(isNatKind(s(V1))) -> mark(U51(isNatKind(V1)))
[40] active(isNatKind(x(V1,V2))) -> mark(U61(isNatKind(V1),V2))
[41] active(plus(N,0)) -> mark(U71(isNat(N),N))
[42] active(plus(N,s(M))) -> mark(U81(isNat(M),M,N))
[43] active(x(N,0)) -> mark(U91(isNat(N),N))
[44] active(x(N,s(M))) -> mark(U101(isNat(M),M,N))
[45] active(U101(X1,X2,X3)) -> U101(active(X1),X2,X3)
[46] active(U102(X1,X2,X3)) -> U102(active(X1),X2,X3)
[47] active(U103(X1,X2,X3)) -> U103(active(X1),X2,X3)
[48] active(U104(X1,X2,X3)) -> U104(active(X1),X2,X3)
[49] active(plus(X1,X2)) -> plus(active(X1),X2)
[50] active(plus(X1,X2)) -> plus(X1,active(X2))
[51] active(x(X1,X2)) -> x(active(X1),X2)
[52] active(x(X1,X2)) -> x(X1,active(X2))
[53] active(U11(X1,X2,X3)) -> U11(active(X1),X2,X3)
[54] active(U12(X1,X2,X3)) -> U12(active(X1),X2,X3)
[55] active(U13(X1,X2,X3)) -> U13(active(X1),X2,X3)
[56] active(U14(X1,X2,X3)) -> U14(active(X1),X2,X3)
[57] active(U15(X1,X2)) -> U15(active(X1),X2)
[58] active(U16(X)) -> U16(active(X))
[59] active(U21(X1,X2)) -> U21(active(X1),X2)
[60] active(U22(X1,X2)) -> U22(active(X1),X2)
[61] active(U23(X)) -> U23(active(X))
[62] active(U31(X1,X2,X3)) -> U31(active(X1),X2,X3)
[63] active(U32(X1,X2,X3)) -> U32(active(X1),X2,X3)
[64] active(U33(X1,X2,X3)) -> U33(active(X1),X2,X3)
[65] active(U34(X1,X2,X3)) -> U34(active(X1),X2,X3)
[66] active(U35(X1,X2)) -> U35(active(X1),X2)
[67] active(U36(X)) -> U36(active(X))
[68] active(U41(X1,X2)) -> U41(active(X1),X2)
[69] active(U42(X)) -> U42(active(X))
[70] active(U51(X)) -> U51(active(X))
[71] active(U61(X1,X2)) -> U61(active(X1),X2)
[72] active(U62(X)) -> U62(active(X))
[73] active(U71(X1,X2)) -> U71(active(X1),X2)
[74] active(U72(X1,X2)) -> U72(active(X1),X2)
[75] active(U81(X1,X2,X3)) -> U81(active(X1),X2,X3)
[76] active(U82(X1,X2,X3)) -> U82(active(X1),X2,X3)
[77] active(U83(X1,X2,X3)) -> U83(active(X1),X2,X3)
[78] active(U84(X1,X2,X3)) -> U84(active(X1),X2,X3)
[79] active(s(X)) -> s(active(X))
[80] active(U91(X1,X2)) -> U91(active(X1),X2)
[81] active(U92(X)) -> U92(active(X))
[82] U101(mark(X1),X2,X3) -> mark(U101(X1,X2,X3))
[83] U102(mark(X1),X2,X3) -> mark(U102(X1,X2,X3))
[84] U103(mark(X1),X2,X3) -> mark(U103(X1,X2,X3))
[85] U104(mark(X1),X2,X3) -> mark(U104(X1,X2,X3))
[86] plus(mark(X1),X2) -> mark(plus(X1,X2))
[87] plus(X1,mark(X2)) -> mark(plus(X1,X2))
[88] x(mark(X1),X2) -> mark(x(X1,X2))
[89] x(X1,mark(X2)) -> mark(x(X1,X2))
[90] U11(mark(X1),X2,X3) -> mark(U11(X1,X2,X3))
[91] U12(mark(X1),X2,X3) -> mark(U12(X1,X2,X3))
[92] U13(mark(X1),X2,X3) -> mark(U13(X1,X2,X3))
[93] U14(mark(X1),X2,X3) -> mark(U14(X1,X2,X3))
[94] U15(mark(X1),X2) -> mark(U15(X1,X2))
[95] U16(mark(X)) -> mark(U16(X))
[96] U21(mark(X1),X2) -> mark(U21(X1,X2))
[97] U22(mark(X1),X2) -> mark(U22(X1,X2))
[98] U23(mark(X)) -> mark(U23(X))
[99] U31(mark(X1),X2,X3) -> mark(U31(X1,X2,X3))
[100] U32(mark(X1),X2,X3) -> mark(U32(X1,X2,X3))
[101] U33(mark(X1),X2,X3) -> mark(U33(X1,X2,X3))
[102] U34(mark(X1),X2,X3) -> mark(U34(X1,X2,X3))
[103] U35(mark(X1),X2) -> mark(U35(X1,X2))
[104] U36(mark(X)) -> mark(U36(X))
[105] U41(mark(X1),X2) -> mark(U41(X1,X2))
[106] U42(mark(X)) -> mark(U42(X))
[107] U51(mark(X)) -> mark(U51(X))
[108] U61(mark(X1),X2) -> mark(U61(X1,X2))
[109] U62(mark(X)) -> mark(U62(X))
[110] U71(mark(X1),X2) -> mark(U71(X1,X2))
[111] U72(mark(X1),X2) -> mark(U72(X1,X2))
[112] U81(mark(X1),X2,X3) -> mark(U81(X1,X2,X3))
[113] U82(mark(X1),X2,X3) -> mark(U82(X1,X2,X3))
[114] U83(mark(X1),X2,X3) -> mark(U83(X1,X2,X3))
[115] U84(mark(X1),X2,X3) -> mark(U84(X1,X2,X3))
[116] s(mark(X)) -> mark(s(X))
[117] U91(mark(X1),X2) -> mark(U91(X1,X2))
[118] U92(mark(X)) -> mark(U92(X))
[119] proper(U101(X1,X2,X3)) -> U101(proper(X1),proper(X2),proper(X3))
[120] proper(tt) -> ok(tt)
[121] proper(U102(X1,X2,X3)) -> U102(proper(X1),proper(X2),proper(X3))
[122] proper(isNatKind(X)) -> isNatKind(proper(X))
[123] proper(U103(X1,X2,X3)) -> U103(proper(X1),proper(X2),proper(X3))
[124] proper(isNat(X)) -> isNat(proper(X))
[125] proper(U104(X1,X2,X3)) -> U104(proper(X1),proper(X2),proper(X3))
[126] proper(plus(X1,X2)) -> plus(proper(X1),proper(X2))
[127] proper(x(X1,X2)) -> x(proper(X1),proper(X2))
[128] proper(U11(X1,X2,X3)) -> U11(proper(X1),proper(X2),proper(X3))
[129] proper(U12(X1,X2,X3)) -> U12(proper(X1),proper(X2),proper(X3))
[130] proper(U13(X1,X2,X3)) -> U13(proper(X1),proper(X2),proper(X3))
[131] proper(U14(X1,X2,X3)) -> U14(proper(X1),proper(X2),proper(X3))
[132] proper(U15(X1,X2)) -> U15(proper(X1),proper(X2))
[133] proper(U16(X)) -> U16(proper(X))
[134] proper(U21(X1,X2)) -> U21(proper(X1),proper(X2))
[135] proper(U22(X1,X2)) -> U22(proper(X1),proper(X2))
[136] proper(U23(X)) -> U23(proper(X))
[137] proper(U31(X1,X2,X3)) -> U31(proper(X1),proper(X2),proper(X3))
[138] proper(U32(X1,X2,X3)) -> U32(proper(X1),proper(X2),proper(X3))
[139] proper(U33(X1,X2,X3)) -> U33(proper(X1),proper(X2),proper(X3))
[140] proper(U34(X1,X2,X3)) -> U34(proper(X1),proper(X2),proper(X3))
[141] proper(U35(X1,X2)) -> U35(proper(X1),proper(X2))
[142] proper(U36(X)) -> U36(proper(X))
[143] proper(U41(X1,X2)) -> U41(proper(X1),proper(X2))
[144] proper(U42(X)) -> U42(proper(X))
[145] proper(U51(X)) -> U51(proper(X))
[146] proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
[147] proper(U62(X)) -> U62(proper(X))
[148] proper(U71(X1,X2)) -> U71(proper(X1),proper(X2))
[149] proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
[150] proper(U81(X1,X2,X3)) -> U81(proper(X1),proper(X2),proper(X3))
[151] proper(U82(X1,X2,X3)) -> U82(proper(X1),proper(X2),proper(X3))
[152] proper(U83(X1,X2,X3)) -> U83(proper(X1),proper(X2),proper(X3))
[153] proper(U84(X1,X2,X3)) -> U84(proper(X1),proper(X2),proper(X3))
[154] proper(s(X)) -> s(proper(X))
[155] proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
[156] proper(U92(X)) -> U92(proper(X))
[157] proper(0) -> ok(0)
[158] U101(ok(X1),ok(X2),ok(X3)) -> ok(U101(X1,X2,X3))
[159] U102(ok(X1),ok(X2),ok(X3)) -> ok(U102(X1,X2,X3))
[160] isNatKind(ok(X)) -> ok(isNatKind(X))
[161] U103(ok(X1),ok(X2),ok(X3)) -> ok(U103(X1,X2,X3))
[162] isNat(ok(X)) -> ok(isNat(X))
[163] U104(ok(X1),ok(X2),ok(X3)) -> ok(U104(X1,X2,X3))
[164] plus(ok(X1),ok(X2)) -> ok(plus(X1,X2))
[165] x(ok(X1),ok(X2)) -> ok(x(X1,X2))
[166] U11(ok(X1),ok(X2),ok(X3)) -> ok(U11(X1,X2,X3))
[167] U12(ok(X1),ok(X2),ok(X3)) -> ok(U12(X1,X2,X3))
[168] U13(ok(X1),ok(X2),ok(X3)) -> ok(U13(X1,X2,X3))
[169] U14(ok(X1),ok(X2),ok(X3)) -> ok(U14(X1,X2,X3))
[170] U15(ok(X1),ok(X2)) -> ok(U15(X1,X2))
[171] U16(ok(X)) -> ok(U16(X))
[172] U21(ok(X1),ok(X2)) -> ok(U21(X1,X2))
[173] U22(ok(X1),ok(X2)) -> ok(U22(X1,X2))
[174] U23(ok(X)) -> ok(U23(X))
[175] U31(ok(X1),ok(X2),ok(X3)) -> ok(U31(X1,X2,X3))
[176] U32(ok(X1),ok(X2),ok(X3)) -> ok(U32(X1,X2,X3))
[177] U33(ok(X1),ok(X2),ok(X3)) -> ok(U33(X1,X2,X3))
[178] U34(ok(X1),ok(X2),ok(X3)) -> ok(U34(X1,X2,X3))
[179] U35(ok(X1),ok(X2)) -> ok(U35(X1,X2))
[180] U36(ok(X)) -> ok(U36(X))
[181] U41(ok(X1),ok(X2)) -> ok(U41(X1,X2))
[182] U42(ok(X)) -> ok(U42(X))
[183] U51(ok(X)) -> ok(U51(X))
[184] U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
[185] U62(ok(X)) -> ok(U62(X))
[186] U71(ok(X1),ok(X2)) -> ok(U71(X1,X2))
[187] U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
[188] U81(ok(X1),ok(X2),ok(X3)) -> ok(U81(X1,X2,X3))
[189] U82(ok(X1),ok(X2),ok(X3)) -> ok(U82(X1,X2,X3))
[190] U83(ok(X1),ok(X2),ok(X3)) -> ok(U83(X1,X2,X3))
[191] U84(ok(X1),ok(X2),ok(X3)) -> ok(U84(X1,X2,X3))
[192] s(ok(X)) -> ok(s(X))
[193] U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
[194] U92(ok(X)) -> ok(U92(X))
[195] top(mark(X)) -> top(proper(X))
[196] top(ok(X)) -> top(active(X))


Sub problem: 
guided: 

DP termination of:
<Marked_active(U101(tt,M,N)) , Marked_U102(isNatKind(M),M,N)>
<Marked_active(U101(tt,M,N)) , Marked_isNatKind(M)>
<Marked_active(U102(tt,M,N)) , Marked_U103(isNat(N),M,N)>
<Marked_active(U102(tt,M,N)) , Marked_isNat(N)>
<Marked_active(U103(tt,M,N)) , Marked_U104(isNatKind(N),M,N)>
<Marked_active(U103(tt,M,N)) , Marked_isNatKind(N)>
<Marked_active(U104(tt,M,N)) , Marked_plus(x(N,M),N)>
<Marked_active(U104(tt,M,N)) , Marked_x(N,M)>
<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,V1,V2)) , Marked_U32(isNatKind(V1),V1,V2)>
<Marked_active(U31(tt,V1,V2)) , Marked_isNatKind(V1)>
<Marked_active(U32(tt,V1,V2)) , Marked_U33(isNatKind(V2),V1,V2)>
<Marked_active(U32(tt,V1,V2)) , Marked_isNatKind(V2)>
<Marked_active(U33(tt,V1,V2)) , Marked_U34(isNatKind(V2),V1,V2)>
<Marked_active(U33(tt,V1,V2)) , Marked_isNatKind(V2)>
<Marked_active(U34(tt,V1,V2)) , Marked_U35(isNat(V1),V2)>
<Marked_active(U34(tt,V1,V2)) , Marked_isNat(V1)>
<Marked_active(U35(tt,V2)) , Marked_U36(isNat(V2))>
<Marked_active(U35(tt,V2)) , Marked_isNat(V2)>
<Marked_active(U41(tt,V2)) , Marked_U42(isNatKind(V2))>
<Marked_active(U41(tt,V2)) , Marked_isNatKind(V2)>
<Marked_active(U61(tt,V2)) , Marked_U62(isNatKind(V2))>
<Marked_active(U61(tt,V2)) , Marked_isNatKind(V2)>
<Marked_active(U71(tt,N)) , Marked_U72(isNatKind(N),N)>
<Marked_active(U71(tt,N)) , Marked_isNatKind(N)>
<Marked_active(U81(tt,M,N)) , Marked_U82(isNatKind(M),M,N)>
<Marked_active(U81(tt,M,N)) , Marked_isNatKind(M)>
<Marked_active(U82(tt,M,N)) , Marked_U83(isNat(N),M,N)>
<Marked_active(U82(tt,M,N)) , Marked_isNat(N)>
<Marked_active(U83(tt,M,N)) , Marked_U84(isNatKind(N),M,N)>
<Marked_active(U83(tt,M,N)) , Marked_isNatKind(N)>
<Marked_active(U84(tt,M,N)) , Marked_s(plus(N,M))>
<Marked_active(U84(tt,M,N)) , Marked_plus(N,M)>
<Marked_active(U91(tt,N)) , Marked_U92(isNatKind(N))>
<Marked_active(U91(tt,N)) , Marked_isNatKind(N)>
<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(isNat(x(V1,V2))) , Marked_U31(isNatKind(V1),V1,V2)>
<Marked_active(isNat(x(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatKind(plus(V1,V2))) , Marked_U41(isNatKind(V1),V2)>
<Marked_active(isNatKind(plus(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatKind(s(V1))) , Marked_U51(isNatKind(V1))>
<Marked_active(isNatKind(s(V1))) , Marked_isNatKind(V1)>
<Marked_active(isNatKind(x(V1,V2))) , Marked_U61(isNatKind(V1),V2)>
<Marked_active(isNatKind(x(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(plus(N,0)) , Marked_U71(isNat(N),N)>
<Marked_active(plus(N,0)) , Marked_isNat(N)>
<Marked_active(plus(N,s(M))) , Marked_U81(isNat(M),M,N)>
<Marked_active(plus(N,s(M))) , Marked_isNat(M)>
<Marked_active(x(N,0)) , Marked_U91(isNat(N),N)>
<Marked_active(x(N,0)) , Marked_isNat(N)>
<Marked_active(x(N,s(M))) , Marked_U101(isNat(M),M,N)>
<Marked_active(x(N,s(M))) , Marked_isNat(M)>
<Marked_active(U101(X1,X2,X3)) , Marked_U101(active(X1),X2,X3)>
<Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U102(X1,X2,X3)) , Marked_U102(active(X1),X2,X3)>
<Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U103(X1,X2,X3)) , Marked_U103(active(X1),X2,X3)>
<Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U104(X1,X2,X3)) , Marked_U104(active(X1),X2,X3)>
<Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(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_active(x(X1,X2)) , Marked_x(active(X1),X2)>
<Marked_active(x(X1,X2)) , Marked_active(X1)>
<Marked_active(x(X1,X2)) , Marked_x(X1,active(X2))>
<Marked_active(x(X1,X2)) , Marked_active(X2)>
<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,X3)) , Marked_U31(active(X1),X2,X3)>
<Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U32(X1,X2,X3)) , Marked_U32(active(X1),X2,X3)>
<Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U33(X1,X2,X3)) , Marked_U33(active(X1),X2,X3)>
<Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U34(X1,X2,X3)) , Marked_U34(active(X1),X2,X3)>
<Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U35(X1,X2)) , Marked_U35(active(X1),X2)>
<Marked_active(U35(X1,X2)) , Marked_active(X1)>
<Marked_active(U36(X)) , Marked_U36(active(X))>
<Marked_active(U36(X)) , Marked_active(X)>
<Marked_active(U41(X1,X2)) , Marked_U41(active(X1),X2)>
<Marked_active(U41(X1,X2)) , Marked_active(X1)>
<Marked_active(U42(X)) , Marked_U42(active(X))>
<Marked_active(U42(X)) , Marked_active(X)>
<Marked_active(U51(X)) , Marked_U51(active(X))>
<Marked_active(U51(X)) , Marked_active(X)>
<Marked_active(U61(X1,X2)) , Marked_U61(active(X1),X2)>
<Marked_active(U61(X1,X2)) , Marked_active(X1)>
<Marked_active(U62(X)) , Marked_U62(active(X))>
<Marked_active(U62(X)) , Marked_active(X)>
<Marked_active(U71(X1,X2)) , Marked_U71(active(X1),X2)>
<Marked_active(U71(X1,X2)) , Marked_active(X1)>
<Marked_active(U72(X1,X2)) , Marked_U72(active(X1),X2)>
<Marked_active(U72(X1,X2)) , Marked_active(X1)>
<Marked_active(U81(X1,X2,X3)) , Marked_U81(active(X1),X2,X3)>
<Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U82(X1,X2,X3)) , Marked_U82(active(X1),X2,X3)>
<Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U83(X1,X2,X3)) , Marked_U83(active(X1),X2,X3)>
<Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U84(X1,X2,X3)) , Marked_U84(active(X1),X2,X3)>
<Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(s(X)) , Marked_s(active(X))>
<Marked_active(s(X)) , Marked_active(X)>
<Marked_active(U91(X1,X2)) , Marked_U91(active(X1),X2)>
<Marked_active(U91(X1,X2)) , Marked_active(X1)>
<Marked_active(U92(X)) , Marked_U92(active(X))>
<Marked_active(U92(X)) , Marked_active(X)>
<Marked_U101(mark(X1),X2,X3) , Marked_U101(X1,X2,X3)>
<Marked_U102(mark(X1),X2,X3) , Marked_U102(X1,X2,X3)>
<Marked_U103(mark(X1),X2,X3) , Marked_U103(X1,X2,X3)>
<Marked_U104(mark(X1),X2,X3) , Marked_U104(X1,X2,X3)>
<Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
<Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)>
<Marked_x(mark(X1),X2) , Marked_x(X1,X2)>
<Marked_x(X1,mark(X2)) , Marked_x(X1,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,X3) , Marked_U31(X1,X2,X3)>
<Marked_U32(mark(X1),X2,X3) , Marked_U32(X1,X2,X3)>
<Marked_U33(mark(X1),X2,X3) , Marked_U33(X1,X2,X3)>
<Marked_U34(mark(X1),X2,X3) , Marked_U34(X1,X2,X3)>
<Marked_U35(mark(X1),X2) , Marked_U35(X1,X2)>
<Marked_U36(mark(X)) , Marked_U36(X)>
<Marked_U41(mark(X1),X2) , Marked_U41(X1,X2)>
<Marked_U42(mark(X)) , Marked_U42(X)>
<Marked_U51(mark(X)) , Marked_U51(X)>
<Marked_U61(mark(X1),X2) , Marked_U61(X1,X2)>
<Marked_U62(mark(X)) , Marked_U62(X)>
<Marked_U71(mark(X1),X2) , Marked_U71(X1,X2)>
<Marked_U72(mark(X1),X2) , Marked_U72(X1,X2)>
<Marked_U81(mark(X1),X2,X3) , Marked_U81(X1,X2,X3)>
<Marked_U82(mark(X1),X2,X3) , Marked_U82(X1,X2,X3)>
<Marked_U83(mark(X1),X2,X3) , Marked_U83(X1,X2,X3)>
<Marked_U84(mark(X1),X2,X3) , Marked_U84(X1,X2,X3)>
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_U91(mark(X1),X2) , Marked_U91(X1,X2)>
<Marked_U92(mark(X)) , Marked_U92(X)>
<Marked_proper(U101(X1,X2,X3)) , Marked_U101(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U102(X1,X2,X3)) , Marked_U102(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(isNatKind(X)) , Marked_isNatKind(proper(X))>
<Marked_proper(isNatKind(X)) , Marked_proper(X)>
<Marked_proper(U103(X1,X2,X3)) , Marked_U103(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(isNat(X)) , Marked_isNat(proper(X))>
<Marked_proper(isNat(X)) , Marked_proper(X)>
<Marked_proper(U104(X1,X2,X3)) , Marked_U104(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(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_proper(x(X1,X2)) , Marked_x(proper(X1),proper(X2))>
<Marked_proper(x(X1,X2)) , Marked_proper(X1)>
<Marked_proper(x(X1,X2)) , Marked_proper(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(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(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,X3)) , Marked_U31(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U32(X1,X2,X3)) , Marked_U32(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U33(X1,X2,X3)) , Marked_U33(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U34(X1,X2,X3)) , Marked_U34(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U35(X1,X2)) , Marked_U35(proper(X1),proper(X2))>
<Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U36(X)) , Marked_U36(proper(X))>
<Marked_proper(U36(X)) , Marked_proper(X)>
<Marked_proper(U41(X1,X2)) , Marked_U41(proper(X1),proper(X2))>
<Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U42(X)) , Marked_U42(proper(X))>
<Marked_proper(U42(X)) , Marked_proper(X)>
<Marked_proper(U51(X)) , Marked_U51(proper(X))>
<Marked_proper(U51(X)) , Marked_proper(X)>
<Marked_proper(U61(X1,X2)) , Marked_U61(proper(X1),proper(X2))>
<Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U62(X)) , Marked_U62(proper(X))>
<Marked_proper(U62(X)) , Marked_proper(X)>
<Marked_proper(U71(X1,X2)) , Marked_U71(proper(X1),proper(X2))>
<Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U72(X1,X2)) , Marked_U72(proper(X1),proper(X2))>
<Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U81(X1,X2,X3)) , Marked_U81(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U82(X1,X2,X3)) , Marked_U82(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U83(X1,X2,X3)) , Marked_U83(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U84(X1,X2,X3)) , Marked_U84(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(s(X)) , Marked_s(proper(X))>
<Marked_proper(s(X)) , Marked_proper(X)>
<Marked_proper(U91(X1,X2)) , Marked_U91(proper(X1),proper(X2))>
<Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U92(X)) , Marked_U92(proper(X))>
<Marked_proper(U92(X)) , Marked_proper(X)>
<Marked_U101(ok(X1),ok(X2),ok(X3)) , Marked_U101(X1,X2,X3)>
<Marked_U102(ok(X1),ok(X2),ok(X3)) , Marked_U102(X1,X2,X3)>
<Marked_isNatKind(ok(X)) , Marked_isNatKind(X)>
<Marked_U103(ok(X1),ok(X2),ok(X3)) , Marked_U103(X1,X2,X3)>
<Marked_isNat(ok(X)) , Marked_isNat(X)>
<Marked_U104(ok(X1),ok(X2),ok(X3)) , Marked_U104(X1,X2,X3)>
<Marked_plus(ok(X1),ok(X2)) , Marked_plus(X1,X2)>
<Marked_x(ok(X1),ok(X2)) , Marked_x(X1,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_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_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),ok(X3)) , Marked_U31(X1,X2,X3)>
<Marked_U32(ok(X1),ok(X2),ok(X3)) , Marked_U32(X1,X2,X3)>
<Marked_U33(ok(X1),ok(X2),ok(X3)) , Marked_U33(X1,X2,X3)>
<Marked_U34(ok(X1),ok(X2),ok(X3)) , Marked_U34(X1,X2,X3)>
<Marked_U35(ok(X1),ok(X2)) , Marked_U35(X1,X2)>
<Marked_U36(ok(X)) , Marked_U36(X)>
<Marked_U41(ok(X1),ok(X2)) , Marked_U41(X1,X2)>
<Marked_U42(ok(X)) , Marked_U42(X)>
<Marked_U51(ok(X)) , Marked_U51(X)>
<Marked_U61(ok(X1),ok(X2)) , Marked_U61(X1,X2)>
<Marked_U62(ok(X)) , Marked_U62(X)>
<Marked_U71(ok(X1),ok(X2)) , Marked_U71(X1,X2)>
<Marked_U72(ok(X1),ok(X2)) , Marked_U72(X1,X2)>
<Marked_U81(ok(X1),ok(X2),ok(X3)) , Marked_U81(X1,X2,X3)>
<Marked_U82(ok(X1),ok(X2),ok(X3)) , Marked_U82(X1,X2,X3)>
<Marked_U83(ok(X1),ok(X2),ok(X3)) , Marked_U83(X1,X2,X3)>
<Marked_U84(ok(X1),ok(X2),ok(X3)) , Marked_U84(X1,X2,X3)>
<Marked_s(ok(X)) , Marked_s(X)>
<Marked_U91(ok(X1),ok(X2)) , Marked_U91(X1,X2)>
<Marked_U92(ok(X)) , Marked_U92(X)>
<Marked_top(mark(X)) , Marked_top(proper(X))>
<Marked_top(mark(X)) , Marked_proper(X)>
<Marked_top(ok(X)) , Marked_top(active(X))>
<Marked_top(ok(X)) , Marked_active(X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 40 components:

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

{  <Marked_proper(U92(X)) , Marked_proper(X)> 
      --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(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(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(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U36(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U35(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U16(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U15(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(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(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(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(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(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(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(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(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(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(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(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(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(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(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(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(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(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(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(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(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(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(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(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(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(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(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(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(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(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(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(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(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(x(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <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(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(plus(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(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(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , 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(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(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(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(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(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U84(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U36(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U35(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U16(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U15(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(x(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(plus(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
}

{  <Marked_active(U92(X)) , Marked_active(X)> 
      --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U91(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(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2,X3)) , 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(s(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U36(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U35(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U91(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(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2,X3)) , 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(U23(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(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(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , 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(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(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(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , 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(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U91(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(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2,X3)) , 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(U16(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U16(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(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(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , 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(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U15(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(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(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , 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(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(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(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , 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(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(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(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , 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(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(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(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , 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_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(x(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U91(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(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U31(X1,X2,X3)) , 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(X2)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(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(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(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(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , 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(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , 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(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(plus(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U84(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U83(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U82(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U36(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U35(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U34(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U16(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U15(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X2)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(x(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X2)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(plus(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(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_U101(ok(X1),ok(X2),ok(X3)) , Marked_U101(X1,X2,X3)> 
      --> <Marked_U101(ok(X1),ok(X2),ok(X3)) , Marked_U101(X1,X2,X3)>
  <Marked_U101(ok(X1),ok(X2),ok(X3)) , Marked_U101(X1,X2,X3)> 
     --> <Marked_U101(mark(X1),X2,X3) , Marked_U101(X1,X2,X3)>
  <Marked_U101(mark(X1),X2,X3) , Marked_U101(X1,X2,X3)> 
     --> <Marked_U101(ok(X1),ok(X2),ok(X3)) , Marked_U101(X1,X2,X3)>
  <Marked_U101(mark(X1),X2,X3) , Marked_U101(X1,X2,X3)> 
     --> <Marked_U101(mark(X1),X2,X3) , Marked_U101(X1,X2,X3)>
}

{  <Marked_U102(ok(X1),ok(X2),ok(X3)) , Marked_U102(X1,X2,X3)> 
      --> <Marked_U102(ok(X1),ok(X2),ok(X3)) , Marked_U102(X1,X2,X3)>
  <Marked_U102(ok(X1),ok(X2),ok(X3)) , Marked_U102(X1,X2,X3)> 
     --> <Marked_U102(mark(X1),X2,X3) , Marked_U102(X1,X2,X3)>
  <Marked_U102(mark(X1),X2,X3) , Marked_U102(X1,X2,X3)> 
     --> <Marked_U102(ok(X1),ok(X2),ok(X3)) , Marked_U102(X1,X2,X3)>
  <Marked_U102(mark(X1),X2,X3) , Marked_U102(X1,X2,X3)> 
     --> <Marked_U102(mark(X1),X2,X3) , Marked_U102(X1,X2,X3)>
}

{  <Marked_U103(ok(X1),ok(X2),ok(X3)) , Marked_U103(X1,X2,X3)> 
      --> <Marked_U103(ok(X1),ok(X2),ok(X3)) , Marked_U103(X1,X2,X3)>
  <Marked_U103(ok(X1),ok(X2),ok(X3)) , Marked_U103(X1,X2,X3)> 
     --> <Marked_U103(mark(X1),X2,X3) , Marked_U103(X1,X2,X3)>
  <Marked_U103(mark(X1),X2,X3) , Marked_U103(X1,X2,X3)> 
     --> <Marked_U103(ok(X1),ok(X2),ok(X3)) , Marked_U103(X1,X2,X3)>
  <Marked_U103(mark(X1),X2,X3) , Marked_U103(X1,X2,X3)> 
     --> <Marked_U103(mark(X1),X2,X3) , Marked_U103(X1,X2,X3)>
}

{  <Marked_U104(ok(X1),ok(X2),ok(X3)) , Marked_U104(X1,X2,X3)> 
      --> <Marked_U104(ok(X1),ok(X2),ok(X3)) , Marked_U104(X1,X2,X3)>
  <Marked_U104(ok(X1),ok(X2),ok(X3)) , Marked_U104(X1,X2,X3)> 
     --> <Marked_U104(mark(X1),X2,X3) , Marked_U104(X1,X2,X3)>
  <Marked_U104(mark(X1),X2,X3) , Marked_U104(X1,X2,X3)> 
     --> <Marked_U104(ok(X1),ok(X2),ok(X3)) , Marked_U104(X1,X2,X3)>
  <Marked_U104(mark(X1),X2,X3) , Marked_U104(X1,X2,X3)> 
     --> <Marked_U104(mark(X1),X2,X3) , Marked_U104(X1,X2,X3)>
}

{  <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)>
}

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

{  <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),ok(X3)) , Marked_U31(X1,X2,X3)> 
      --> <Marked_U31(ok(X1),ok(X2),ok(X3)) , Marked_U31(X1,X2,X3)>
  <Marked_U31(ok(X1),ok(X2),ok(X3)) , Marked_U31(X1,X2,X3)> 
     --> <Marked_U31(mark(X1),X2,X3) , Marked_U31(X1,X2,X3)>
  <Marked_U31(mark(X1),X2,X3) , Marked_U31(X1,X2,X3)> 
     --> <Marked_U31(ok(X1),ok(X2),ok(X3)) , Marked_U31(X1,X2,X3)>
  <Marked_U31(mark(X1),X2,X3) , Marked_U31(X1,X2,X3)> 
     --> <Marked_U31(mark(X1),X2,X3) , Marked_U31(X1,X2,X3)>
}

{  <Marked_U32(ok(X1),ok(X2),ok(X3)) , Marked_U32(X1,X2,X3)> 
      --> <Marked_U32(ok(X1),ok(X2),ok(X3)) , Marked_U32(X1,X2,X3)>
  <Marked_U32(ok(X1),ok(X2),ok(X3)) , Marked_U32(X1,X2,X3)> 
     --> <Marked_U32(mark(X1),X2,X3) , Marked_U32(X1,X2,X3)>
  <Marked_U32(mark(X1),X2,X3) , Marked_U32(X1,X2,X3)> 
     --> <Marked_U32(ok(X1),ok(X2),ok(X3)) , Marked_U32(X1,X2,X3)>
  <Marked_U32(mark(X1),X2,X3) , Marked_U32(X1,X2,X3)> 
     --> <Marked_U32(mark(X1),X2,X3) , Marked_U32(X1,X2,X3)>
}

{  <Marked_U33(ok(X1),ok(X2),ok(X3)) , Marked_U33(X1,X2,X3)> 
      --> <Marked_U33(ok(X1),ok(X2),ok(X3)) , Marked_U33(X1,X2,X3)>
  <Marked_U33(ok(X1),ok(X2),ok(X3)) , Marked_U33(X1,X2,X3)> 
     --> <Marked_U33(mark(X1),X2,X3) , Marked_U33(X1,X2,X3)>
  <Marked_U33(mark(X1),X2,X3) , Marked_U33(X1,X2,X3)> 
     --> <Marked_U33(ok(X1),ok(X2),ok(X3)) , Marked_U33(X1,X2,X3)>
  <Marked_U33(mark(X1),X2,X3) , Marked_U33(X1,X2,X3)> 
     --> <Marked_U33(mark(X1),X2,X3) , Marked_U33(X1,X2,X3)>
}

{  <Marked_U34(ok(X1),ok(X2),ok(X3)) , Marked_U34(X1,X2,X3)> 
      --> <Marked_U34(ok(X1),ok(X2),ok(X3)) , Marked_U34(X1,X2,X3)>
  <Marked_U34(ok(X1),ok(X2),ok(X3)) , Marked_U34(X1,X2,X3)> 
     --> <Marked_U34(mark(X1),X2,X3) , Marked_U34(X1,X2,X3)>
  <Marked_U34(mark(X1),X2,X3) , Marked_U34(X1,X2,X3)> 
     --> <Marked_U34(ok(X1),ok(X2),ok(X3)) , Marked_U34(X1,X2,X3)>
  <Marked_U34(mark(X1),X2,X3) , Marked_U34(X1,X2,X3)> 
     --> <Marked_U34(mark(X1),X2,X3) , Marked_U34(X1,X2,X3)>
}

{  <Marked_U35(ok(X1),ok(X2)) , Marked_U35(X1,X2)> 
      --> <Marked_U35(ok(X1),ok(X2)) , Marked_U35(X1,X2)>
  <Marked_U35(ok(X1),ok(X2)) , Marked_U35(X1,X2)> 
     --> <Marked_U35(mark(X1),X2) , Marked_U35(X1,X2)>
  <Marked_U35(mark(X1),X2) , Marked_U35(X1,X2)> 
     --> <Marked_U35(ok(X1),ok(X2)) , Marked_U35(X1,X2)>
  <Marked_U35(mark(X1),X2) , Marked_U35(X1,X2)> 
     --> <Marked_U35(mark(X1),X2) , Marked_U35(X1,X2)>
}

{  <Marked_U36(ok(X)) , Marked_U36(X)> --> <Marked_U36(ok(X)) , Marked_U36(X)>
  <Marked_U36(ok(X)) , Marked_U36(X)> --> <Marked_U36(mark(X)) , Marked_U36(X)>
  <Marked_U36(mark(X)) , Marked_U36(X)> --> <Marked_U36(ok(X)) , Marked_U36(X)>
  <Marked_U36(mark(X)) , Marked_U36(X)> 
     --> <Marked_U36(mark(X)) , Marked_U36(X)>
}

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

{  <Marked_U42(ok(X)) , Marked_U42(X)> --> <Marked_U42(ok(X)) , Marked_U42(X)>
  <Marked_U42(ok(X)) , Marked_U42(X)> --> <Marked_U42(mark(X)) , Marked_U42(X)>
  <Marked_U42(mark(X)) , Marked_U42(X)> --> <Marked_U42(ok(X)) , Marked_U42(X)>
  <Marked_U42(mark(X)) , Marked_U42(X)> 
     --> <Marked_U42(mark(X)) , Marked_U42(X)>
}

{  <Marked_U51(ok(X)) , Marked_U51(X)> --> <Marked_U51(ok(X)) , Marked_U51(X)>
  <Marked_U51(ok(X)) , Marked_U51(X)> --> <Marked_U51(mark(X)) , Marked_U51(X)>
  <Marked_U51(mark(X)) , Marked_U51(X)> --> <Marked_U51(ok(X)) , Marked_U51(X)>
  <Marked_U51(mark(X)) , Marked_U51(X)> 
     --> <Marked_U51(mark(X)) , Marked_U51(X)>
}

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

{  <Marked_U62(ok(X)) , Marked_U62(X)> --> <Marked_U62(ok(X)) , Marked_U62(X)>
  <Marked_U62(ok(X)) , Marked_U62(X)> --> <Marked_U62(mark(X)) , Marked_U62(X)>
  <Marked_U62(mark(X)) , Marked_U62(X)> --> <Marked_U62(ok(X)) , Marked_U62(X)>
  <Marked_U62(mark(X)) , Marked_U62(X)> 
     --> <Marked_U62(mark(X)) , Marked_U62(X)>
}

{  <Marked_U71(ok(X1),ok(X2)) , Marked_U71(X1,X2)> 
      --> <Marked_U71(ok(X1),ok(X2)) , Marked_U71(X1,X2)>
  <Marked_U71(ok(X1),ok(X2)) , Marked_U71(X1,X2)> 
     --> <Marked_U71(mark(X1),X2) , Marked_U71(X1,X2)>
  <Marked_U71(mark(X1),X2) , Marked_U71(X1,X2)> 
     --> <Marked_U71(ok(X1),ok(X2)) , Marked_U71(X1,X2)>
  <Marked_U71(mark(X1),X2) , Marked_U71(X1,X2)> 
     --> <Marked_U71(mark(X1),X2) , Marked_U71(X1,X2)>
}

{  <Marked_U72(ok(X1),ok(X2)) , Marked_U72(X1,X2)> 
      --> <Marked_U72(ok(X1),ok(X2)) , Marked_U72(X1,X2)>
  <Marked_U72(ok(X1),ok(X2)) , Marked_U72(X1,X2)> 
     --> <Marked_U72(mark(X1),X2) , Marked_U72(X1,X2)>
  <Marked_U72(mark(X1),X2) , Marked_U72(X1,X2)> 
     --> <Marked_U72(ok(X1),ok(X2)) , Marked_U72(X1,X2)>
  <Marked_U72(mark(X1),X2) , Marked_U72(X1,X2)> 
     --> <Marked_U72(mark(X1),X2) , Marked_U72(X1,X2)>
}

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

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

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

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

{  <Marked_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_U91(ok(X1),ok(X2)) , Marked_U91(X1,X2)> 
      --> <Marked_U91(ok(X1),ok(X2)) , Marked_U91(X1,X2)>
  <Marked_U91(ok(X1),ok(X2)) , Marked_U91(X1,X2)> 
     --> <Marked_U91(mark(X1),X2) , Marked_U91(X1,X2)>
  <Marked_U91(mark(X1),X2) , Marked_U91(X1,X2)> 
     --> <Marked_U91(ok(X1),ok(X2)) , Marked_U91(X1,X2)>
  <Marked_U91(mark(X1),X2) , Marked_U91(X1,X2)> 
     --> <Marked_U91(mark(X1),X2) , Marked_U91(X1,X2)>
}

{  <Marked_U92(ok(X)) , Marked_U92(X)> --> <Marked_U92(ok(X)) , Marked_U92(X)>
  <Marked_U92(ok(X)) , Marked_U92(X)> --> <Marked_U92(mark(X)) , Marked_U92(X)>
  <Marked_U92(mark(X)) , Marked_U92(X)> --> <Marked_U92(ok(X)) , Marked_U92(X)>
  <Marked_U92(mark(X)) , Marked_U92(X)> 
     --> <Marked_U92(mark(X)) , Marked_U92(X)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  U102(mark(X1),X2,X3) >= mark(U102(X1,X2,X3)) ;
  U102(ok(X1),ok(X2),ok(X3)) >= ok(U102(X1,X2,X3)) ;
  isNatKind(ok(X)) >= ok(isNatKind(X)) ;
  active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) ;
  active(U102(X1,X2,X3)) >= U102(active(X1),X2,X3) ;
  active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) ;
  active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) ;
  active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) ;
  active(isNatKind(0)) >= mark(tt) ;
  active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) ;
  active(U101(X1,X2,X3)) >= U101(active(X1),X2,X3) ;
  active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) ;
  active(U103(X1,X2,X3)) >= U103(active(X1),X2,X3) ;
  active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) ;
  active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) ;
  active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ;
  active(isNat(0)) >= mark(tt) ;
  active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U104(X1,X2,X3)) >= U104(active(X1),X2,X3) ;
  active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) ;
  active(plus(N,0)) >= mark(U71(isNat(N),N)) ;
  active(plus(X1,X2)) >= plus(active(X1),X2) ;
  active(plus(X1,X2)) >= plus(X1,active(X2)) ;
  active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) ;
  active(x(N,0)) >= mark(U91(isNat(N),N)) ;
  active(x(X1,X2)) >= x(active(X1),X2) ;
  active(x(X1,X2)) >= x(X1,active(X2)) ;
  active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) ;
  active(U12(X1,X2,X3)) >= U12(active(X1),X2,X3) ;
  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(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,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) ;
  active(U32(X1,X2,X3)) >= U32(active(X1),X2,X3) ;
  active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) ;
  active(U31(X1,X2,X3)) >= U31(active(X1),X2,X3) ;
  active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) ;
  active(U33(X1,X2,X3)) >= U33(active(X1),X2,X3) ;
  active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) ;
  active(U34(X1,X2,X3)) >= U34(active(X1),X2,X3) ;
  active(U35(tt,V2)) >= mark(U36(isNat(V2))) ;
  active(U35(X1,X2)) >= U35(active(X1),X2) ;
  active(U36(tt)) >= mark(tt) ;
  active(U36(X)) >= U36(active(X)) ;
  active(U42(tt)) >= mark(tt) ;
  active(U42(X)) >= U42(active(X)) ;
  active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) ;
  active(U41(X1,X2)) >= U41(active(X1),X2) ;
  active(U51(tt)) >= mark(tt) ;
  active(U51(X)) >= U51(active(X)) ;
  active(U62(tt)) >= mark(tt) ;
  active(U62(X)) >= U62(active(X)) ;
  active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) ;
  active(U61(X1,X2)) >= U61(active(X1),X2) ;
  active(U72(tt,N)) >= mark(N) ;
  active(U72(X1,X2)) >= U72(active(X1),X2) ;
  active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) ;
  active(U71(X1,X2)) >= U71(active(X1),X2) ;
  active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) ;
  active(U82(X1,X2,X3)) >= U82(active(X1),X2,X3) ;
  active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) ;
  active(U81(X1,X2,X3)) >= U81(active(X1),X2,X3) ;
  active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) ;
  active(U83(X1,X2,X3)) >= U83(active(X1),X2,X3) ;
  active(U84(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U84(X1,X2,X3)) >= U84(active(X1),X2,X3) ;
  active(s(X)) >= s(active(X)) ;
  active(U92(tt)) >= mark(0) ;
  active(U92(X)) >= U92(active(X)) ;
  active(U91(tt,N)) >= mark(U92(isNatKind(N))) ;
  active(U91(X1,X2)) >= U91(active(X1),X2) ;
  U101(mark(X1),X2,X3) >= mark(U101(X1,X2,X3)) ;
  U101(ok(X1),ok(X2),ok(X3)) >= ok(U101(X1,X2,X3)) ;
  U103(mark(X1),X2,X3) >= mark(U103(X1,X2,X3)) ;
  U103(ok(X1),ok(X2),ok(X3)) >= ok(U103(X1,X2,X3)) ;
  isNat(ok(X)) >= ok(isNat(X)) ;
  U104(mark(X1),X2,X3) >= mark(U104(X1,X2,X3)) ;
  U104(ok(X1),ok(X2),ok(X3)) >= ok(U104(X1,X2,X3)) ;
  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)) ;
  x(mark(X1),X2) >= mark(x(X1,X2)) ;
  x(ok(X1),ok(X2)) >= ok(x(X1,X2)) ;
  x(X1,mark(X2)) >= mark(x(X1,X2)) ;
  U12(mark(X1),X2,X3) >= mark(U12(X1,X2,X3)) ;
  U12(ok(X1),ok(X2),ok(X3)) >= ok(U12(X1,X2,X3)) ;
  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)) ;
  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(X1),X2,X3) >= mark(U32(X1,X2,X3)) ;
  U32(ok(X1),ok(X2),ok(X3)) >= ok(U32(X1,X2,X3)) ;
  U31(mark(X1),X2,X3) >= mark(U31(X1,X2,X3)) ;
  U31(ok(X1),ok(X2),ok(X3)) >= ok(U31(X1,X2,X3)) ;
  U33(mark(X1),X2,X3) >= mark(U33(X1,X2,X3)) ;
  U33(ok(X1),ok(X2),ok(X3)) >= ok(U33(X1,X2,X3)) ;
  U34(mark(X1),X2,X3) >= mark(U34(X1,X2,X3)) ;
  U34(ok(X1),ok(X2),ok(X3)) >= ok(U34(X1,X2,X3)) ;
  U35(mark(X1),X2) >= mark(U35(X1,X2)) ;
  U35(ok(X1),ok(X2)) >= ok(U35(X1,X2)) ;
  U36(mark(X)) >= mark(U36(X)) ;
  U36(ok(X)) >= ok(U36(X)) ;
  U42(mark(X)) >= mark(U42(X)) ;
  U42(ok(X)) >= ok(U42(X)) ;
  U41(mark(X1),X2) >= mark(U41(X1,X2)) ;
  U41(ok(X1),ok(X2)) >= ok(U41(X1,X2)) ;
  U51(mark(X)) >= mark(U51(X)) ;
  U51(ok(X)) >= ok(U51(X)) ;
  U62(mark(X)) >= mark(U62(X)) ;
  U62(ok(X)) >= ok(U62(X)) ;
  U61(mark(X1),X2) >= mark(U61(X1,X2)) ;
  U61(ok(X1),ok(X2)) >= ok(U61(X1,X2)) ;
  U72(mark(X1),X2) >= mark(U72(X1,X2)) ;
  U72(ok(X1),ok(X2)) >= ok(U72(X1,X2)) ;
  U71(mark(X1),X2) >= mark(U71(X1,X2)) ;
  U71(ok(X1),ok(X2)) >= ok(U71(X1,X2)) ;
  U82(mark(X1),X2,X3) >= mark(U82(X1,X2,X3)) ;
  U82(ok(X1),ok(X2),ok(X3)) >= ok(U82(X1,X2,X3)) ;
  U81(mark(X1),X2,X3) >= mark(U81(X1,X2,X3)) ;
  U81(ok(X1),ok(X2),ok(X3)) >= ok(U81(X1,X2,X3)) ;
  U83(mark(X1),X2,X3) >= mark(U83(X1,X2,X3)) ;
  U83(ok(X1),ok(X2),ok(X3)) >= ok(U83(X1,X2,X3)) ;
  U84(mark(X1),X2,X3) >= mark(U84(X1,X2,X3)) ;
  U84(ok(X1),ok(X2),ok(X3)) >= ok(U84(X1,X2,X3)) ;
  s(mark(X)) >= mark(s(X)) ;
  s(ok(X)) >= ok(s(X)) ;
  U92(mark(X)) >= mark(U92(X)) ;
  U92(ok(X)) >= ok(U92(X)) ;
  U91(mark(X1),X2) >= mark(U91(X1,X2)) ;
  U91(ok(X1),ok(X2)) >= ok(U91(X1,X2)) ;
  proper(U102(X1,X2,X3)) >= U102(proper(X1),proper(X2),proper(X3)) ;
  proper(isNatKind(X)) >= isNatKind(proper(X)) ;
  proper(U101(X1,X2,X3)) >= U101(proper(X1),proper(X2),proper(X3)) ;
  proper(tt) >= ok(tt) ;
  proper(U103(X1,X2,X3)) >= U103(proper(X1),proper(X2),proper(X3)) ;
  proper(isNat(X)) >= isNat(proper(X)) ;
  proper(U104(X1,X2,X3)) >= U104(proper(X1),proper(X2),proper(X3)) ;
  proper(plus(X1,X2)) >= plus(proper(X1),proper(X2)) ;
  proper(x(X1,X2)) >= x(proper(X1),proper(X2)) ;
  proper(U12(X1,X2,X3)) >= U12(proper(X1),proper(X2),proper(X3)) ;
  proper(U11(X1,X2,X3)) >= U11(proper(X1),proper(X2),proper(X3)) ;
  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(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(X1,X2,X3)) >= U32(proper(X1),proper(X2),proper(X3)) ;
  proper(U31(X1,X2,X3)) >= U31(proper(X1),proper(X2),proper(X3)) ;
  proper(U33(X1,X2,X3)) >= U33(proper(X1),proper(X2),proper(X3)) ;
  proper(U34(X1,X2,X3)) >= U34(proper(X1),proper(X2),proper(X3)) ;
  proper(U35(X1,X2)) >= U35(proper(X1),proper(X2)) ;
  proper(U36(X)) >= U36(proper(X)) ;
  proper(U42(X)) >= U42(proper(X)) ;
  proper(U41(X1,X2)) >= U41(proper(X1),proper(X2)) ;
  proper(U51(X)) >= U51(proper(X)) ;
  proper(U62(X)) >= U62(proper(X)) ;
  proper(U61(X1,X2)) >= U61(proper(X1),proper(X2)) ;
  proper(U72(X1,X2)) >= U72(proper(X1),proper(X2)) ;
  proper(U71(X1,X2)) >= U71(proper(X1),proper(X2)) ;
  proper(U82(X1,X2,X3)) >= U82(proper(X1),proper(X2),proper(X3)) ;
  proper(U81(X1,X2,X3)) >= U81(proper(X1),proper(X2),proper(X3)) ;
  proper(U83(X1,X2,X3)) >= U83(proper(X1),proper(X2),proper(X3)) ;
  proper(U84(X1,X2,X3)) >= U84(proper(X1),proper(X2),proper(X3)) ;
  proper(s(X)) >= s(proper(X)) ;
  proper(U92(X)) >= U92(proper(X)) ;
  proper(U91(X1,X2)) >= U91(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 (ID_CRIT)
NOT SOLVED
No proof found
Cime worked for 89.984859 seconds (real time)
Cime Exit Status: 0