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

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


Sub problem: 
guided: 

DP termination of:
<Marked_active(zeros) , Marked_cons(0,zeros)>
<Marked_active(U101(tt,V1,V2)) , Marked_U102(isNatKind(V1),V1,V2)>
<Marked_active(U101(tt,V1,V2)) , Marked_isNatKind(V1)>
<Marked_active(U102(tt,V1,V2)) , Marked_U103(isNatIListKind(V2),V1,V2)>
<Marked_active(U102(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U103(tt,V1,V2)) , Marked_U104(isNatIListKind(V2),V1,V2)>
<Marked_active(U103(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U104(tt,V1,V2)) , Marked_U105(isNat(V1),V2)>
<Marked_active(U104(tt,V1,V2)) , Marked_isNat(V1)>
<Marked_active(U105(tt,V2)) , Marked_U106(isNatIList(V2))>
<Marked_active(U105(tt,V2)) , Marked_isNatIList(V2)>
<Marked_active(U11(tt,V1)) , Marked_U12(isNatIListKind(V1),V1)>
<Marked_active(U11(tt,V1)) , Marked_isNatIListKind(V1)>
<Marked_active(U111(tt,L,N)) , Marked_U112(isNatIListKind(L),L,N)>
<Marked_active(U111(tt,L,N)) , Marked_isNatIListKind(L)>
<Marked_active(U112(tt,L,N)) , Marked_U113(isNat(N),L,N)>
<Marked_active(U112(tt,L,N)) , Marked_isNat(N)>
<Marked_active(U113(tt,L,N)) , Marked_U114(isNatKind(N),L)>
<Marked_active(U113(tt,L,N)) , Marked_isNatKind(N)>
<Marked_active(U114(tt,L)) , Marked_s(length(L))>
<Marked_active(U114(tt,L)) , Marked_length(L)>
<Marked_active(U12(tt,V1)) , Marked_U13(isNatList(V1))>
<Marked_active(U12(tt,V1)) , Marked_isNatList(V1)>
<Marked_active(U121(tt,IL)) , Marked_U122(isNatIListKind(IL))>
<Marked_active(U121(tt,IL)) , Marked_isNatIListKind(IL)>
<Marked_active(U131(tt,IL,M,N)) , Marked_U132(isNatIListKind(IL),IL,M,N)>
<Marked_active(U131(tt,IL,M,N)) , Marked_isNatIListKind(IL)>
<Marked_active(U132(tt,IL,M,N)) , Marked_U133(isNat(M),IL,M,N)>
<Marked_active(U132(tt,IL,M,N)) , Marked_isNat(M)>
<Marked_active(U133(tt,IL,M,N)) , Marked_U134(isNatKind(M),IL,M,N)>
<Marked_active(U133(tt,IL,M,N)) , Marked_isNatKind(M)>
<Marked_active(U134(tt,IL,M,N)) , Marked_U135(isNat(N),IL,M,N)>
<Marked_active(U134(tt,IL,M,N)) , Marked_isNat(N)>
<Marked_active(U135(tt,IL,M,N)) , Marked_U136(isNatKind(N),IL,M,N)>
<Marked_active(U135(tt,IL,M,N)) , Marked_isNatKind(N)>
<Marked_active(U136(tt,IL,M,N)) , Marked_cons(N,take(M,IL))>
<Marked_active(U136(tt,IL,M,N)) , Marked_take(M,IL)>
<Marked_active(U21(tt,V1)) , Marked_U22(isNatKind(V1),V1)>
<Marked_active(U21(tt,V1)) , Marked_isNatKind(V1)>
<Marked_active(U22(tt,V1)) , Marked_U23(isNat(V1))>
<Marked_active(U22(tt,V1)) , Marked_isNat(V1)>
<Marked_active(U31(tt,V)) , Marked_U32(isNatIListKind(V),V)>
<Marked_active(U31(tt,V)) , Marked_isNatIListKind(V)>
<Marked_active(U32(tt,V)) , Marked_U33(isNatList(V))>
<Marked_active(U32(tt,V)) , Marked_isNatList(V)>
<Marked_active(U41(tt,V1,V2)) , Marked_U42(isNatKind(V1),V1,V2)>
<Marked_active(U41(tt,V1,V2)) , Marked_isNatKind(V1)>
<Marked_active(U42(tt,V1,V2)) , Marked_U43(isNatIListKind(V2),V1,V2)>
<Marked_active(U42(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U43(tt,V1,V2)) , Marked_U44(isNatIListKind(V2),V1,V2)>
<Marked_active(U43(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U44(tt,V1,V2)) , Marked_U45(isNat(V1),V2)>
<Marked_active(U44(tt,V1,V2)) , Marked_isNat(V1)>
<Marked_active(U45(tt,V2)) , Marked_U46(isNatIList(V2))>
<Marked_active(U45(tt,V2)) , Marked_isNatIList(V2)>
<Marked_active(U51(tt,V2)) , Marked_U52(isNatIListKind(V2))>
<Marked_active(U51(tt,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U61(tt,V2)) , Marked_U62(isNatIListKind(V2))>
<Marked_active(U61(tt,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U91(tt,V1,V2)) , Marked_U92(isNatKind(V1),V1,V2)>
<Marked_active(U91(tt,V1,V2)) , Marked_isNatKind(V1)>
<Marked_active(U92(tt,V1,V2)) , Marked_U93(isNatIListKind(V2),V1,V2)>
<Marked_active(U92(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U93(tt,V1,V2)) , Marked_U94(isNatIListKind(V2),V1,V2)>
<Marked_active(U93(tt,V1,V2)) , Marked_isNatIListKind(V2)>
<Marked_active(U94(tt,V1,V2)) , Marked_U95(isNat(V1),V2)>
<Marked_active(U94(tt,V1,V2)) , Marked_isNat(V1)>
<Marked_active(U95(tt,V2)) , Marked_U96(isNatList(V2))>
<Marked_active(U95(tt,V2)) , Marked_isNatList(V2)>
<Marked_active(isNat(length(V1))) , Marked_U11(isNatIListKind(V1),V1)>
<Marked_active(isNat(length(V1))) , Marked_isNatIListKind(V1)>
<Marked_active(isNat(s(V1))) , Marked_U21(isNatKind(V1),V1)>
<Marked_active(isNat(s(V1))) , Marked_isNatKind(V1)>
<Marked_active(isNatIList(V)) , Marked_U31(isNatIListKind(V),V)>
<Marked_active(isNatIList(V)) , Marked_isNatIListKind(V)>
<Marked_active(isNatIList(cons(V1,V2))) , Marked_U41(isNatKind(V1),V1,V2)>
<Marked_active(isNatIList(cons(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatIListKind(cons(V1,V2))) , Marked_U51(isNatKind(V1),V2)>
<Marked_active(isNatIListKind(cons(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatIListKind(take(V1,V2))) , Marked_U61(isNatKind(V1),V2)>
<Marked_active(isNatIListKind(take(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatKind(length(V1))) , Marked_U71(isNatIListKind(V1))>
<Marked_active(isNatKind(length(V1))) , Marked_isNatIListKind(V1)>
<Marked_active(isNatKind(s(V1))) , Marked_U81(isNatKind(V1))>
<Marked_active(isNatKind(s(V1))) , Marked_isNatKind(V1)>
<Marked_active(isNatList(cons(V1,V2))) , Marked_U91(isNatKind(V1),V1,V2)>
<Marked_active(isNatList(cons(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(isNatList(take(V1,V2))) , Marked_U101(isNatKind(V1),V1,V2)>
<Marked_active(isNatList(take(V1,V2))) , Marked_isNatKind(V1)>
<Marked_active(length(cons(N,L))) , Marked_U111(isNatList(L),L,N)>
<Marked_active(length(cons(N,L))) , Marked_isNatList(L)>
<Marked_active(take(0,IL)) , Marked_U121(isNatIList(IL),IL)>
<Marked_active(take(0,IL)) , Marked_isNatIList(IL)>
<Marked_active(take(s(M),cons(N,IL))) , Marked_U131(isNatIList(IL),IL,M,N)>
<Marked_active(take(s(M),cons(N,IL))) , Marked_isNatIList(IL)>
<Marked_active(cons(X1,X2)) , Marked_cons(active(X1),X2)>
<Marked_active(cons(X1,X2)) , Marked_active(X1)>
<Marked_active(U101(X1,X2,X3)) , Marked_U101(active(X1),X2,X3)>
<Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U102(X1,X2,X3)) , Marked_U102(active(X1),X2,X3)>
<Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U103(X1,X2,X3)) , Marked_U103(active(X1),X2,X3)>
<Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U104(X1,X2,X3)) , Marked_U104(active(X1),X2,X3)>
<Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U105(X1,X2)) , Marked_U105(active(X1),X2)>
<Marked_active(U105(X1,X2)) , Marked_active(X1)>
<Marked_active(U106(X)) , Marked_U106(active(X))>
<Marked_active(U106(X)) , Marked_active(X)>
<Marked_active(U11(X1,X2)) , Marked_U11(active(X1),X2)>
<Marked_active(U11(X1,X2)) , Marked_active(X1)>
<Marked_active(U12(X1,X2)) , Marked_U12(active(X1),X2)>
<Marked_active(U12(X1,X2)) , Marked_active(X1)>
<Marked_active(U111(X1,X2,X3)) , Marked_U111(active(X1),X2,X3)>
<Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U112(X1,X2,X3)) , Marked_U112(active(X1),X2,X3)>
<Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U113(X1,X2,X3)) , Marked_U113(active(X1),X2,X3)>
<Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U114(X1,X2)) , Marked_U114(active(X1),X2)>
<Marked_active(U114(X1,X2)) , Marked_active(X1)>
<Marked_active(s(X)) , Marked_s(active(X))>
<Marked_active(s(X)) , Marked_active(X)>
<Marked_active(length(X)) , Marked_length(active(X))>
<Marked_active(length(X)) , Marked_active(X)>
<Marked_active(U13(X)) , Marked_U13(active(X))>
<Marked_active(U13(X)) , Marked_active(X)>
<Marked_active(U121(X1,X2)) , Marked_U121(active(X1),X2)>
<Marked_active(U121(X1,X2)) , Marked_active(X1)>
<Marked_active(U122(X)) , Marked_U122(active(X))>
<Marked_active(U122(X)) , Marked_active(X)>
<Marked_active(U131(X1,X2,X3,X4)) , Marked_U131(active(X1),X2,X3,X4)>
<Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
<Marked_active(U132(X1,X2,X3,X4)) , Marked_U132(active(X1),X2,X3,X4)>
<Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
<Marked_active(U133(X1,X2,X3,X4)) , Marked_U133(active(X1),X2,X3,X4)>
<Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
<Marked_active(U134(X1,X2,X3,X4)) , Marked_U134(active(X1),X2,X3,X4)>
<Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
<Marked_active(U135(X1,X2,X3,X4)) , Marked_U135(active(X1),X2,X3,X4)>
<Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
<Marked_active(U136(X1,X2,X3,X4)) , Marked_U136(active(X1),X2,X3,X4)>
<Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
<Marked_active(take(X1,X2)) , Marked_take(active(X1),X2)>
<Marked_active(take(X1,X2)) , Marked_active(X1)>
<Marked_active(take(X1,X2)) , Marked_take(X1,active(X2))>
<Marked_active(take(X1,X2)) , Marked_active(X2)>
<Marked_active(U21(X1,X2)) , Marked_U21(active(X1),X2)>
<Marked_active(U21(X1,X2)) , Marked_active(X1)>
<Marked_active(U22(X1,X2)) , Marked_U22(active(X1),X2)>
<Marked_active(U22(X1,X2)) , Marked_active(X1)>
<Marked_active(U23(X)) , Marked_U23(active(X))>
<Marked_active(U23(X)) , Marked_active(X)>
<Marked_active(U31(X1,X2)) , Marked_U31(active(X1),X2)>
<Marked_active(U31(X1,X2)) , Marked_active(X1)>
<Marked_active(U32(X1,X2)) , Marked_U32(active(X1),X2)>
<Marked_active(U32(X1,X2)) , Marked_active(X1)>
<Marked_active(U33(X)) , Marked_U33(active(X))>
<Marked_active(U33(X)) , Marked_active(X)>
<Marked_active(U41(X1,X2,X3)) , Marked_U41(active(X1),X2,X3)>
<Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U42(X1,X2,X3)) , Marked_U42(active(X1),X2,X3)>
<Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U43(X1,X2,X3)) , Marked_U43(active(X1),X2,X3)>
<Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U44(X1,X2,X3)) , Marked_U44(active(X1),X2,X3)>
<Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U45(X1,X2)) , Marked_U45(active(X1),X2)>
<Marked_active(U45(X1,X2)) , Marked_active(X1)>
<Marked_active(U46(X)) , Marked_U46(active(X))>
<Marked_active(U46(X)) , Marked_active(X)>
<Marked_active(U51(X1,X2)) , Marked_U51(active(X1),X2)>
<Marked_active(U51(X1,X2)) , Marked_active(X1)>
<Marked_active(U52(X)) , Marked_U52(active(X))>
<Marked_active(U52(X)) , Marked_active(X)>
<Marked_active(U61(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(X)) , Marked_U71(active(X))>
<Marked_active(U71(X)) , Marked_active(X)>
<Marked_active(U81(X)) , Marked_U81(active(X))>
<Marked_active(U81(X)) , Marked_active(X)>
<Marked_active(U91(X1,X2,X3)) , Marked_U91(active(X1),X2,X3)>
<Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U92(X1,X2,X3)) , Marked_U92(active(X1),X2,X3)>
<Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U93(X1,X2,X3)) , Marked_U93(active(X1),X2,X3)>
<Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U94(X1,X2,X3)) , Marked_U94(active(X1),X2,X3)>
<Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U95(X1,X2)) , Marked_U95(active(X1),X2)>
<Marked_active(U95(X1,X2)) , Marked_active(X1)>
<Marked_active(U96(X)) , Marked_U96(active(X))>
<Marked_active(U96(X)) , Marked_active(X)>
<Marked_cons(mark(X1),X2) , Marked_cons(X1,X2)>
<Marked_U101(mark(X1),X2,X3) , Marked_U101(X1,X2,X3)>
<Marked_U102(mark(X1),X2,X3) , Marked_U102(X1,X2,X3)>
<Marked_U103(mark(X1),X2,X3) , Marked_U103(X1,X2,X3)>
<Marked_U104(mark(X1),X2,X3) , Marked_U104(X1,X2,X3)>
<Marked_U105(mark(X1),X2) , Marked_U105(X1,X2)>
<Marked_U106(mark(X)) , Marked_U106(X)>
<Marked_U11(mark(X1),X2) , Marked_U11(X1,X2)>
<Marked_U12(mark(X1),X2) , Marked_U12(X1,X2)>
<Marked_U111(mark(X1),X2,X3) , Marked_U111(X1,X2,X3)>
<Marked_U112(mark(X1),X2,X3) , Marked_U112(X1,X2,X3)>
<Marked_U113(mark(X1),X2,X3) , Marked_U113(X1,X2,X3)>
<Marked_U114(mark(X1),X2) , Marked_U114(X1,X2)>
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_length(mark(X)) , Marked_length(X)>
<Marked_U13(mark(X)) , Marked_U13(X)>
<Marked_U121(mark(X1),X2) , Marked_U121(X1,X2)>
<Marked_U122(mark(X)) , Marked_U122(X)>
<Marked_U131(mark(X1),X2,X3,X4) , Marked_U131(X1,X2,X3,X4)>
<Marked_U132(mark(X1),X2,X3,X4) , Marked_U132(X1,X2,X3,X4)>
<Marked_U133(mark(X1),X2,X3,X4) , Marked_U133(X1,X2,X3,X4)>
<Marked_U134(mark(X1),X2,X3,X4) , Marked_U134(X1,X2,X3,X4)>
<Marked_U135(mark(X1),X2,X3,X4) , Marked_U135(X1,X2,X3,X4)>
<Marked_U136(mark(X1),X2,X3,X4) , Marked_U136(X1,X2,X3,X4)>
<Marked_take(mark(X1),X2) , Marked_take(X1,X2)>
<Marked_take(X1,mark(X2)) , Marked_take(X1,X2)>
<Marked_U21(mark(X1),X2) , Marked_U21(X1,X2)>
<Marked_U22(mark(X1),X2) , Marked_U22(X1,X2)>
<Marked_U23(mark(X)) , Marked_U23(X)>
<Marked_U31(mark(X1),X2) , Marked_U31(X1,X2)>
<Marked_U32(mark(X1),X2) , Marked_U32(X1,X2)>
<Marked_U33(mark(X)) , Marked_U33(X)>
<Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)>
<Marked_U42(mark(X1),X2,X3) , Marked_U42(X1,X2,X3)>
<Marked_U43(mark(X1),X2,X3) , Marked_U43(X1,X2,X3)>
<Marked_U44(mark(X1),X2,X3) , Marked_U44(X1,X2,X3)>
<Marked_U45(mark(X1),X2) , Marked_U45(X1,X2)>
<Marked_U46(mark(X)) , Marked_U46(X)>
<Marked_U51(mark(X1),X2) , Marked_U51(X1,X2)>
<Marked_U52(mark(X)) , Marked_U52(X)>
<Marked_U61(mark(X1),X2) , Marked_U61(X1,X2)>
<Marked_U62(mark(X)) , Marked_U62(X)>
<Marked_U71(mark(X)) , Marked_U71(X)>
<Marked_U81(mark(X)) , Marked_U81(X)>
<Marked_U91(mark(X1),X2,X3) , Marked_U91(X1,X2,X3)>
<Marked_U92(mark(X1),X2,X3) , Marked_U92(X1,X2,X3)>
<Marked_U93(mark(X1),X2,X3) , Marked_U93(X1,X2,X3)>
<Marked_U94(mark(X1),X2,X3) , Marked_U94(X1,X2,X3)>
<Marked_U95(mark(X1),X2) , Marked_U95(X1,X2)>
<Marked_U96(mark(X)) , Marked_U96(X)>
<Marked_proper(cons(X1,X2)) , Marked_cons(proper(X1),proper(X2))>
<Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
<Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
<Marked_proper(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(isNatIListKind(X)) , Marked_isNatIListKind(proper(X))>
<Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
<Marked_proper(U104(X1,X2,X3)) , Marked_U104(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U105(X1,X2)) , Marked_U105(proper(X1),proper(X2))>
<Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
<Marked_proper(isNat(X)) , Marked_isNat(proper(X))>
<Marked_proper(isNat(X)) , Marked_proper(X)>
<Marked_proper(U106(X)) , Marked_U106(proper(X))>
<Marked_proper(U106(X)) , Marked_proper(X)>
<Marked_proper(isNatIList(X)) , Marked_isNatIList(proper(X))>
<Marked_proper(isNatIList(X)) , Marked_proper(X)>
<Marked_proper(U11(X1,X2)) , Marked_U11(proper(X1),proper(X2))>
<Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U12(X1,X2)) , Marked_U12(proper(X1),proper(X2))>
<Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U111(X1,X2,X3)) , Marked_U111(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U112(X1,X2,X3)) , Marked_U112(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U113(X1,X2,X3)) , Marked_U113(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U114(X1,X2)) , Marked_U114(proper(X1),proper(X2))>
<Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
<Marked_proper(s(X)) , Marked_s(proper(X))>
<Marked_proper(s(X)) , Marked_proper(X)>
<Marked_proper(length(X)) , Marked_length(proper(X))>
<Marked_proper(length(X)) , Marked_proper(X)>
<Marked_proper(U13(X)) , Marked_U13(proper(X))>
<Marked_proper(U13(X)) , Marked_proper(X)>
<Marked_proper(isNatList(X)) , Marked_isNatList(proper(X))>
<Marked_proper(isNatList(X)) , Marked_proper(X)>
<Marked_proper(U121(X1,X2)) , Marked_U121(proper(X1),proper(X2))>
<Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U122(X)) , Marked_U122(proper(X))>
<Marked_proper(U122(X)) , Marked_proper(X)>
<Marked_proper(U131(X1,X2,X3,X4)) , Marked_U131(proper(X1),proper(X2),
                                     proper(X3),proper(X4))>
<Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
<Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
<Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
<Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
<Marked_proper(U132(X1,X2,X3,X4)) , Marked_U132(proper(X1),proper(X2),
                                     proper(X3),proper(X4))>
<Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
<Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
<Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
<Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
<Marked_proper(U133(X1,X2,X3,X4)) , Marked_U133(proper(X1),proper(X2),
                                     proper(X3),proper(X4))>
<Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
<Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
<Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
<Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
<Marked_proper(U134(X1,X2,X3,X4)) , Marked_U134(proper(X1),proper(X2),
                                     proper(X3),proper(X4))>
<Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
<Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
<Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
<Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
<Marked_proper(U135(X1,X2,X3,X4)) , Marked_U135(proper(X1),proper(X2),
                                     proper(X3),proper(X4))>
<Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
<Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
<Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
<Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
<Marked_proper(U136(X1,X2,X3,X4)) , Marked_U136(proper(X1),proper(X2),
                                     proper(X3),proper(X4))>
<Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
<Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
<Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
<Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
<Marked_proper(take(X1,X2)) , Marked_take(proper(X1),proper(X2))>
<Marked_proper(take(X1,X2)) , Marked_proper(X1)>
<Marked_proper(take(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U21(X1,X2)) , Marked_U21(proper(X1),proper(X2))>
<Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U22(X1,X2)) , Marked_U22(proper(X1),proper(X2))>
<Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U23(X)) , Marked_U23(proper(X))>
<Marked_proper(U23(X)) , Marked_proper(X)>
<Marked_proper(U31(X1,X2)) , Marked_U31(proper(X1),proper(X2))>
<Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U32(X1,X2)) , Marked_U32(proper(X1),proper(X2))>
<Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U33(X)) , Marked_U33(proper(X))>
<Marked_proper(U33(X)) , Marked_proper(X)>
<Marked_proper(U41(X1,X2,X3)) , Marked_U41(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U42(X1,X2,X3)) , Marked_U42(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U43(X1,X2,X3)) , Marked_U43(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U44(X1,X2,X3)) , Marked_U44(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U45(X1,X2)) , Marked_U45(proper(X1),proper(X2))>
<Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U46(X)) , Marked_U46(proper(X))>
<Marked_proper(U46(X)) , Marked_proper(X)>
<Marked_proper(U51(X1,X2)) , Marked_U51(proper(X1),proper(X2))>
<Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U52(X)) , Marked_U52(proper(X))>
<Marked_proper(U52(X)) , Marked_proper(X)>
<Marked_proper(U61(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(X)) , Marked_U71(proper(X))>
<Marked_proper(U71(X)) , Marked_proper(X)>
<Marked_proper(U81(X)) , Marked_U81(proper(X))>
<Marked_proper(U81(X)) , Marked_proper(X)>
<Marked_proper(U91(X1,X2,X3)) , Marked_U91(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U92(X1,X2,X3)) , Marked_U92(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U93(X1,X2,X3)) , Marked_U93(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U94(X1,X2,X3)) , Marked_U94(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U95(X1,X2)) , Marked_U95(proper(X1),proper(X2))>
<Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U96(X)) , Marked_U96(proper(X))>
<Marked_proper(U96(X)) , Marked_proper(X)>
<Marked_cons(ok(X1),ok(X2)) , Marked_cons(X1,X2)>
<Marked_U101(ok(X1),ok(X2),ok(X3)) , Marked_U101(X1,X2,X3)>
<Marked_U102(ok(X1),ok(X2),ok(X3)) , Marked_U102(X1,X2,X3)>
<Marked_isNatKind(ok(X)) , Marked_isNatKind(X)>
<Marked_U103(ok(X1),ok(X2),ok(X3)) , Marked_U103(X1,X2,X3)>
<Marked_isNatIListKind(ok(X)) , Marked_isNatIListKind(X)>
<Marked_U104(ok(X1),ok(X2),ok(X3)) , Marked_U104(X1,X2,X3)>
<Marked_U105(ok(X1),ok(X2)) , Marked_U105(X1,X2)>
<Marked_isNat(ok(X)) , Marked_isNat(X)>
<Marked_U106(ok(X)) , Marked_U106(X)>
<Marked_isNatIList(ok(X)) , Marked_isNatIList(X)>
<Marked_U11(ok(X1),ok(X2)) , Marked_U11(X1,X2)>
<Marked_U12(ok(X1),ok(X2)) , Marked_U12(X1,X2)>
<Marked_U111(ok(X1),ok(X2),ok(X3)) , Marked_U111(X1,X2,X3)>
<Marked_U112(ok(X1),ok(X2),ok(X3)) , Marked_U112(X1,X2,X3)>
<Marked_U113(ok(X1),ok(X2),ok(X3)) , Marked_U113(X1,X2,X3)>
<Marked_U114(ok(X1),ok(X2)) , Marked_U114(X1,X2)>
<Marked_s(ok(X)) , Marked_s(X)>
<Marked_length(ok(X)) , Marked_length(X)>
<Marked_U13(ok(X)) , Marked_U13(X)>
<Marked_isNatList(ok(X)) , Marked_isNatList(X)>
<Marked_U121(ok(X1),ok(X2)) , Marked_U121(X1,X2)>
<Marked_U122(ok(X)) , Marked_U122(X)>
<Marked_U131(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U131(X1,X2,X3,X4)>
<Marked_U132(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U132(X1,X2,X3,X4)>
<Marked_U133(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U133(X1,X2,X3,X4)>
<Marked_U134(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U134(X1,X2,X3,X4)>
<Marked_U135(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U135(X1,X2,X3,X4)>
<Marked_U136(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U136(X1,X2,X3,X4)>
<Marked_take(ok(X1),ok(X2)) , Marked_take(X1,X2)>
<Marked_U21(ok(X1),ok(X2)) , Marked_U21(X1,X2)>
<Marked_U22(ok(X1),ok(X2)) , Marked_U22(X1,X2)>
<Marked_U23(ok(X)) , Marked_U23(X)>
<Marked_U31(ok(X1),ok(X2)) , Marked_U31(X1,X2)>
<Marked_U32(ok(X1),ok(X2)) , Marked_U32(X1,X2)>
<Marked_U33(ok(X)) , Marked_U33(X)>
<Marked_U41(ok(X1),ok(X2),ok(X3)) , Marked_U41(X1,X2,X3)>
<Marked_U42(ok(X1),ok(X2),ok(X3)) , Marked_U42(X1,X2,X3)>
<Marked_U43(ok(X1),ok(X2),ok(X3)) , Marked_U43(X1,X2,X3)>
<Marked_U44(ok(X1),ok(X2),ok(X3)) , Marked_U44(X1,X2,X3)>
<Marked_U45(ok(X1),ok(X2)) , Marked_U45(X1,X2)>
<Marked_U46(ok(X)) , Marked_U46(X)>
<Marked_U51(ok(X1),ok(X2)) , Marked_U51(X1,X2)>
<Marked_U52(ok(X)) , Marked_U52(X)>
<Marked_U61(ok(X1),ok(X2)) , Marked_U61(X1,X2)>
<Marked_U62(ok(X)) , Marked_U62(X)>
<Marked_U71(ok(X)) , Marked_U71(X)>
<Marked_U81(ok(X)) , Marked_U81(X)>
<Marked_U91(ok(X1),ok(X2),ok(X3)) , Marked_U91(X1,X2,X3)>
<Marked_U92(ok(X1),ok(X2),ok(X3)) , Marked_U92(X1,X2,X3)>
<Marked_U93(ok(X1),ok(X2),ok(X3)) , Marked_U93(X1,X2,X3)>
<Marked_U94(ok(X1),ok(X2),ok(X3)) , Marked_U94(X1,X2,X3)>
<Marked_U95(ok(X1),ok(X2)) , Marked_U95(X1,X2)>
<Marked_U96(ok(X)) , Marked_U96(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 57 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(U96(X)) , Marked_proper(X)> 
      --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U96(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U95(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(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(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(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(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(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(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <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(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(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(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U122(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U121(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatList(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U13(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(length(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <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(U52(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(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(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U114(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIList(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U106(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <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(U52(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U105(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(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(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(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(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(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(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(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(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(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(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(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(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <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(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <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(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatIListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(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(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(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(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(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(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(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(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(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(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(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(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <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(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <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(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <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(U52(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(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(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(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(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(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(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(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(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(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(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(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(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <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(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <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(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(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(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(length(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(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(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(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(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(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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(length(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(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(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(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(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(isNatIListKind(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(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <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(U52(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , 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(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <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(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <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(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(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(isNatIListKind(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_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U96(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U95(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U94(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U136(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U135(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U134(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U133(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U132(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatList(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(length(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U114(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U113(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIList(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNat(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatIListKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
}

{  <Marked_active(U96(X)) , Marked_active(X)> 
      --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U96(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U95(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U81(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <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(U52(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , 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(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U105(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(U62(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <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(U52(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , 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(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <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(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(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(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U46(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U45(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U33(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <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(U52(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U105(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(U23(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(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(U52(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(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(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(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(U52(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(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(U21(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(take(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U122(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U121(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U13(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(length(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <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(U52(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(s(X)) , Marked_active(X)> 
     --> <Marked_active(U105(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(s(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U114(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U106(X)) , Marked_active(X)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U105(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <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(U52(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , 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(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <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(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(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(U104(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <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(U52(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , 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(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <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(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(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(U103(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <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(U52(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , 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(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <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(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(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(U102(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <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(U52(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , 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(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <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(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U105(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_active(U101(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U96(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U95(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U94(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U93(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U92(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U91(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U81(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U46(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U45(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U33(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X2)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(take(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U136(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U135(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U134(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U133(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U132(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U131(X1,X2,X3,X4)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U122(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U121(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U13(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(length(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(s(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U114(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U113(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U112(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U111(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U106(X)) , Marked_active(X)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U105(X1,X2)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(cons(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(cons(X1,X2)) , Marked_active(X1)>
}

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

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

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

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

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

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

{  <Marked_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_U105(ok(X1),ok(X2)) , Marked_U105(X1,X2)> 
      --> <Marked_U105(ok(X1),ok(X2)) , Marked_U105(X1,X2)>
  <Marked_U105(ok(X1),ok(X2)) , Marked_U105(X1,X2)> 
     --> <Marked_U105(mark(X1),X2) , Marked_U105(X1,X2)>
  <Marked_U105(mark(X1),X2) , Marked_U105(X1,X2)> 
     --> <Marked_U105(ok(X1),ok(X2)) , Marked_U105(X1,X2)>
  <Marked_U105(mark(X1),X2) , Marked_U105(X1,X2)> 
     --> <Marked_U105(mark(X1),X2) , Marked_U105(X1,X2)>
}

{  <Marked_U106(ok(X)) , Marked_U106(X)> 
      --> <Marked_U106(ok(X)) , Marked_U106(X)>
  <Marked_U106(ok(X)) , Marked_U106(X)> 
     --> <Marked_U106(mark(X)) , Marked_U106(X)>
  <Marked_U106(mark(X)) , Marked_U106(X)> 
     --> <Marked_U106(ok(X)) , Marked_U106(X)>
  <Marked_U106(mark(X)) , Marked_U106(X)> 
     --> <Marked_U106(mark(X)) , Marked_U106(X)>
}

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

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

{  <Marked_U111(ok(X1),ok(X2),ok(X3)) , Marked_U111(X1,X2,X3)> 
      --> <Marked_U111(ok(X1),ok(X2),ok(X3)) , Marked_U111(X1,X2,X3)>
  <Marked_U111(ok(X1),ok(X2),ok(X3)) , Marked_U111(X1,X2,X3)> 
     --> <Marked_U111(mark(X1),X2,X3) , Marked_U111(X1,X2,X3)>
  <Marked_U111(mark(X1),X2,X3) , Marked_U111(X1,X2,X3)> 
     --> <Marked_U111(ok(X1),ok(X2),ok(X3)) , Marked_U111(X1,X2,X3)>
  <Marked_U111(mark(X1),X2,X3) , Marked_U111(X1,X2,X3)> 
     --> <Marked_U111(mark(X1),X2,X3) , Marked_U111(X1,X2,X3)>
}

{  <Marked_U112(ok(X1),ok(X2),ok(X3)) , Marked_U112(X1,X2,X3)> 
      --> <Marked_U112(ok(X1),ok(X2),ok(X3)) , Marked_U112(X1,X2,X3)>
  <Marked_U112(ok(X1),ok(X2),ok(X3)) , Marked_U112(X1,X2,X3)> 
     --> <Marked_U112(mark(X1),X2,X3) , Marked_U112(X1,X2,X3)>
  <Marked_U112(mark(X1),X2,X3) , Marked_U112(X1,X2,X3)> 
     --> <Marked_U112(ok(X1),ok(X2),ok(X3)) , Marked_U112(X1,X2,X3)>
  <Marked_U112(mark(X1),X2,X3) , Marked_U112(X1,X2,X3)> 
     --> <Marked_U112(mark(X1),X2,X3) , Marked_U112(X1,X2,X3)>
}

{  <Marked_U113(ok(X1),ok(X2),ok(X3)) , Marked_U113(X1,X2,X3)> 
      --> <Marked_U113(ok(X1),ok(X2),ok(X3)) , Marked_U113(X1,X2,X3)>
  <Marked_U113(ok(X1),ok(X2),ok(X3)) , Marked_U113(X1,X2,X3)> 
     --> <Marked_U113(mark(X1),X2,X3) , Marked_U113(X1,X2,X3)>
  <Marked_U113(mark(X1),X2,X3) , Marked_U113(X1,X2,X3)> 
     --> <Marked_U113(ok(X1),ok(X2),ok(X3)) , Marked_U113(X1,X2,X3)>
  <Marked_U113(mark(X1),X2,X3) , Marked_U113(X1,X2,X3)> 
     --> <Marked_U113(mark(X1),X2,X3) , Marked_U113(X1,X2,X3)>
}

{  <Marked_U114(ok(X1),ok(X2)) , Marked_U114(X1,X2)> 
      --> <Marked_U114(ok(X1),ok(X2)) , Marked_U114(X1,X2)>
  <Marked_U114(ok(X1),ok(X2)) , Marked_U114(X1,X2)> 
     --> <Marked_U114(mark(X1),X2) , Marked_U114(X1,X2)>
  <Marked_U114(mark(X1),X2) , Marked_U114(X1,X2)> 
     --> <Marked_U114(ok(X1),ok(X2)) , Marked_U114(X1,X2)>
  <Marked_U114(mark(X1),X2) , Marked_U114(X1,X2)> 
     --> <Marked_U114(mark(X1),X2) , Marked_U114(X1,X2)>
}

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

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

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

{  <Marked_U121(ok(X1),ok(X2)) , Marked_U121(X1,X2)> 
      --> <Marked_U121(ok(X1),ok(X2)) , Marked_U121(X1,X2)>
  <Marked_U121(ok(X1),ok(X2)) , Marked_U121(X1,X2)> 
     --> <Marked_U121(mark(X1),X2) , Marked_U121(X1,X2)>
  <Marked_U121(mark(X1),X2) , Marked_U121(X1,X2)> 
     --> <Marked_U121(ok(X1),ok(X2)) , Marked_U121(X1,X2)>
  <Marked_U121(mark(X1),X2) , Marked_U121(X1,X2)> 
     --> <Marked_U121(mark(X1),X2) , Marked_U121(X1,X2)>
}

{  <Marked_U122(ok(X)) , Marked_U122(X)> 
      --> <Marked_U122(ok(X)) , Marked_U122(X)>
  <Marked_U122(ok(X)) , Marked_U122(X)> 
     --> <Marked_U122(mark(X)) , Marked_U122(X)>
  <Marked_U122(mark(X)) , Marked_U122(X)> 
     --> <Marked_U122(ok(X)) , Marked_U122(X)>
  <Marked_U122(mark(X)) , Marked_U122(X)> 
     --> <Marked_U122(mark(X)) , Marked_U122(X)>
}

{  <Marked_U131(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U131(X1,X2,X3,X4)> 
      --> <Marked_U131(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U131(X1,X2,X3,X4)>
  <Marked_U131(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U131(X1,X2,X3,X4)> 
     --> <Marked_U131(mark(X1),X2,X3,X4) , Marked_U131(X1,X2,X3,X4)>
  <Marked_U131(mark(X1),X2,X3,X4) , Marked_U131(X1,X2,X3,X4)> 
     --> <Marked_U131(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U131(X1,X2,X3,X4)>
  <Marked_U131(mark(X1),X2,X3,X4) , Marked_U131(X1,X2,X3,X4)> 
     --> <Marked_U131(mark(X1),X2,X3,X4) , Marked_U131(X1,X2,X3,X4)>
}

{  <Marked_U132(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U132(X1,X2,X3,X4)> 
      --> <Marked_U132(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U132(X1,X2,X3,X4)>
  <Marked_U132(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U132(X1,X2,X3,X4)> 
     --> <Marked_U132(mark(X1),X2,X3,X4) , Marked_U132(X1,X2,X3,X4)>
  <Marked_U132(mark(X1),X2,X3,X4) , Marked_U132(X1,X2,X3,X4)> 
     --> <Marked_U132(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U132(X1,X2,X3,X4)>
  <Marked_U132(mark(X1),X2,X3,X4) , Marked_U132(X1,X2,X3,X4)> 
     --> <Marked_U132(mark(X1),X2,X3,X4) , Marked_U132(X1,X2,X3,X4)>
}

{  <Marked_U133(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U133(X1,X2,X3,X4)> 
      --> <Marked_U133(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U133(X1,X2,X3,X4)>
  <Marked_U133(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U133(X1,X2,X3,X4)> 
     --> <Marked_U133(mark(X1),X2,X3,X4) , Marked_U133(X1,X2,X3,X4)>
  <Marked_U133(mark(X1),X2,X3,X4) , Marked_U133(X1,X2,X3,X4)> 
     --> <Marked_U133(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U133(X1,X2,X3,X4)>
  <Marked_U133(mark(X1),X2,X3,X4) , Marked_U133(X1,X2,X3,X4)> 
     --> <Marked_U133(mark(X1),X2,X3,X4) , Marked_U133(X1,X2,X3,X4)>
}

{  <Marked_U134(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U134(X1,X2,X3,X4)> 
      --> <Marked_U134(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U134(X1,X2,X3,X4)>
  <Marked_U134(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U134(X1,X2,X3,X4)> 
     --> <Marked_U134(mark(X1),X2,X3,X4) , Marked_U134(X1,X2,X3,X4)>
  <Marked_U134(mark(X1),X2,X3,X4) , Marked_U134(X1,X2,X3,X4)> 
     --> <Marked_U134(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U134(X1,X2,X3,X4)>
  <Marked_U134(mark(X1),X2,X3,X4) , Marked_U134(X1,X2,X3,X4)> 
     --> <Marked_U134(mark(X1),X2,X3,X4) , Marked_U134(X1,X2,X3,X4)>
}

{  <Marked_U135(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U135(X1,X2,X3,X4)> 
      --> <Marked_U135(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U135(X1,X2,X3,X4)>
  <Marked_U135(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U135(X1,X2,X3,X4)> 
     --> <Marked_U135(mark(X1),X2,X3,X4) , Marked_U135(X1,X2,X3,X4)>
  <Marked_U135(mark(X1),X2,X3,X4) , Marked_U135(X1,X2,X3,X4)> 
     --> <Marked_U135(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U135(X1,X2,X3,X4)>
  <Marked_U135(mark(X1),X2,X3,X4) , Marked_U135(X1,X2,X3,X4)> 
     --> <Marked_U135(mark(X1),X2,X3,X4) , Marked_U135(X1,X2,X3,X4)>
}

{  <Marked_U136(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U136(X1,X2,X3,X4)> 
      --> <Marked_U136(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U136(X1,X2,X3,X4)>
  <Marked_U136(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U136(X1,X2,X3,X4)> 
     --> <Marked_U136(mark(X1),X2,X3,X4) , Marked_U136(X1,X2,X3,X4)>
  <Marked_U136(mark(X1),X2,X3,X4) , Marked_U136(X1,X2,X3,X4)> 
     --> <Marked_U136(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U136(X1,X2,X3,X4)>
  <Marked_U136(mark(X1),X2,X3,X4) , Marked_U136(X1,X2,X3,X4)> 
     --> <Marked_U136(mark(X1),X2,X3,X4) , Marked_U136(X1,X2,X3,X4)>
}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

{  <Marked_U61(ok(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(X)) , Marked_U71(X)> --> <Marked_U71(ok(X)) , Marked_U71(X)>
  <Marked_U71(ok(X)) , Marked_U71(X)> --> <Marked_U71(mark(X)) , Marked_U71(X)>
  <Marked_U71(mark(X)) , Marked_U71(X)> --> <Marked_U71(ok(X)) , Marked_U71(X)>
  <Marked_U71(mark(X)) , Marked_U71(X)> 
     --> <Marked_U71(mark(X)) , Marked_U71(X)>
}

{  <Marked_U81(ok(X)) , Marked_U81(X)> --> <Marked_U81(ok(X)) , Marked_U81(X)>
  <Marked_U81(ok(X)) , Marked_U81(X)> --> <Marked_U81(mark(X)) , Marked_U81(X)>
  <Marked_U81(mark(X)) , Marked_U81(X)> --> <Marked_U81(ok(X)) , Marked_U81(X)>
  <Marked_U81(mark(X)) , Marked_U81(X)> 
     --> <Marked_U81(mark(X)) , Marked_U81(X)>
}

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

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

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

{  <Marked_U94(ok(X1),ok(X2),ok(X3)) , Marked_U94(X1,X2,X3)> 
      --> <Marked_U94(ok(X1),ok(X2),ok(X3)) , Marked_U94(X1,X2,X3)>
  <Marked_U94(ok(X1),ok(X2),ok(X3)) , Marked_U94(X1,X2,X3)> 
     --> <Marked_U94(mark(X1),X2,X3) , Marked_U94(X1,X2,X3)>
  <Marked_U94(mark(X1),X2,X3) , Marked_U94(X1,X2,X3)> 
     --> <Marked_U94(ok(X1),ok(X2),ok(X3)) , Marked_U94(X1,X2,X3)>
  <Marked_U94(mark(X1),X2,X3) , Marked_U94(X1,X2,X3)> 
     --> <Marked_U94(mark(X1),X2,X3) , Marked_U94(X1,X2,X3)>
}

{  <Marked_U95(ok(X1),ok(X2)) , Marked_U95(X1,X2)> 
      --> <Marked_U95(ok(X1),ok(X2)) , Marked_U95(X1,X2)>
  <Marked_U95(ok(X1),ok(X2)) , Marked_U95(X1,X2)> 
     --> <Marked_U95(mark(X1),X2) , Marked_U95(X1,X2)>
  <Marked_U95(mark(X1),X2) , Marked_U95(X1,X2)> 
     --> <Marked_U95(ok(X1),ok(X2)) , Marked_U95(X1,X2)>
  <Marked_U95(mark(X1),X2) , Marked_U95(X1,X2)> 
     --> <Marked_U95(mark(X1),X2) , Marked_U95(X1,X2)>
}

{  <Marked_U96(ok(X)) , Marked_U96(X)> --> <Marked_U96(ok(X)) , Marked_U96(X)>
  <Marked_U96(ok(X)) , Marked_U96(X)> --> <Marked_U96(mark(X)) , Marked_U96(X)>
  <Marked_U96(mark(X)) , Marked_U96(X)> --> <Marked_U96(ok(X)) , Marked_U96(X)>
  <Marked_U96(mark(X)) , Marked_U96(X)> 
     --> <Marked_U96(mark(X)) , Marked_U96(X)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  cons(mark(X1),X2) >= mark(cons(X1,X2)) ;
  cons(ok(X1),ok(X2)) >= ok(cons(X1,X2)) ;
  active(cons(X1,X2)) >= cons(active(X1),X2) ;
  active(zeros) >= mark(cons(0,zeros)) ;
  active(U102(tt,V1,V2)) >= mark(U103(isNatIListKind(V2),V1,V2)) ;
  active(U102(X1,X2,X3)) >= U102(active(X1),X2,X3) ;
  active(isNatKind(0)) >= mark(tt) ;
  active(isNatKind(s(V1))) >= mark(U81(isNatKind(V1))) ;
  active(isNatKind(length(V1))) >= mark(U71(isNatIListKind(V1))) ;
  active(U101(tt,V1,V2)) >= mark(U102(isNatKind(V1),V1,V2)) ;
  active(U101(X1,X2,X3)) >= U101(active(X1),X2,X3) ;
  active(U103(tt,V1,V2)) >= mark(U104(isNatIListKind(V2),V1,V2)) ;
  active(U103(X1,X2,X3)) >= U103(active(X1),X2,X3) ;
  active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ;
  active(isNatIListKind(zeros)) >= mark(tt) ;
  active(isNatIListKind(nil)) >= mark(tt) ;
  active(isNatIListKind(take(V1,V2))) >= mark(U61(isNatKind(V1),V2)) ;
  active(U104(tt,V1,V2)) >= mark(U105(isNat(V1),V2)) ;
  active(U104(X1,X2,X3)) >= U104(active(X1),X2,X3) ;
  active(U105(tt,V2)) >= mark(U106(isNatIList(V2))) ;
  active(U105(X1,X2)) >= U105(active(X1),X2) ;
  active(isNat(0)) >= mark(tt) ;
  active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ;
  active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ;
  active(U106(tt)) >= mark(tt) ;
  active(U106(X)) >= U106(active(X)) ;
  active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ;
  active(isNatIList(zeros)) >= mark(tt) ;
  active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ;
  active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ;
  active(U12(X1,X2)) >= U12(active(X1),X2) ;
  active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ;
  active(U11(X1,X2)) >= U11(active(X1),X2) ;
  active(U112(tt,L,N)) >= mark(U113(isNat(N),L,N)) ;
  active(U112(X1,X2,X3)) >= U112(active(X1),X2,X3) ;
  active(U111(tt,L,N)) >= mark(U112(isNatIListKind(L),L,N)) ;
  active(U111(X1,X2,X3)) >= U111(active(X1),X2,X3) ;
  active(U113(tt,L,N)) >= mark(U114(isNatKind(N),L)) ;
  active(U113(X1,X2,X3)) >= U113(active(X1),X2,X3) ;
  active(U114(tt,L)) >= mark(s(length(L))) ;
  active(U114(X1,X2)) >= U114(active(X1),X2) ;
  active(s(X)) >= s(active(X)) ;
  active(length(cons(N,L))) >= mark(U111(isNatList(L),L,N)) ;
  active(length(nil)) >= mark(0) ;
  active(length(X)) >= length(active(X)) ;
  active(U13(tt)) >= mark(tt) ;
  active(U13(X)) >= U13(active(X)) ;
  active(isNatList(cons(V1,V2))) >= mark(U91(isNatKind(V1),V1,V2)) ;
  active(isNatList(nil)) >= mark(tt) ;
  active(isNatList(take(V1,V2))) >= mark(U101(isNatKind(V1),V1,V2)) ;
  active(U122(tt)) >= mark(nil) ;
  active(U122(X)) >= U122(active(X)) ;
  active(U121(tt,IL)) >= mark(U122(isNatIListKind(IL))) ;
  active(U121(X1,X2)) >= U121(active(X1),X2) ;
  active(U132(tt,IL,M,N)) >= mark(U133(isNat(M),IL,M,N)) ;
  active(U132(X1,X2,X3,X4)) >= U132(active(X1),X2,X3,X4) ;
  active(U131(tt,IL,M,N)) >= mark(U132(isNatIListKind(IL),IL,M,N)) ;
  active(U131(X1,X2,X3,X4)) >= U131(active(X1),X2,X3,X4) ;
  active(U133(tt,IL,M,N)) >= mark(U134(isNatKind(M),IL,M,N)) ;
  active(U133(X1,X2,X3,X4)) >= U133(active(X1),X2,X3,X4) ;
  active(U134(tt,IL,M,N)) >= mark(U135(isNat(N),IL,M,N)) ;
  active(U134(X1,X2,X3,X4)) >= U134(active(X1),X2,X3,X4) ;
  active(U135(tt,IL,M,N)) >= mark(U136(isNatKind(N),IL,M,N)) ;
  active(U135(X1,X2,X3,X4)) >= U135(active(X1),X2,X3,X4) ;
  active(U136(tt,IL,M,N)) >= mark(cons(N,take(M,IL))) ;
  active(U136(X1,X2,X3,X4)) >= U136(active(X1),X2,X3,X4) ;
  active(take(0,IL)) >= mark(U121(isNatIList(IL),IL)) ;
  active(take(s(M),cons(N,IL))) >= mark(U131(isNatIList(IL),IL,M,N)) ;
  active(take(X1,X2)) >= take(active(X1),X2) ;
  active(take(X1,X2)) >= take(X1,active(X2)) ;
  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,V)) >= mark(U33(isNatList(V))) ;
  active(U32(X1,X2)) >= U32(active(X1),X2) ;
  active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ;
  active(U31(X1,X2)) >= U31(active(X1),X2) ;
  active(U33(tt)) >= mark(tt) ;
  active(U33(X)) >= U33(active(X)) ;
  active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ;
  active(U42(X1,X2,X3)) >= U42(active(X1),X2,X3) ;
  active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ;
  active(U41(X1,X2,X3)) >= U41(active(X1),X2,X3) ;
  active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ;
  active(U43(X1,X2,X3)) >= U43(active(X1),X2,X3) ;
  active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ;
  active(U44(X1,X2,X3)) >= U44(active(X1),X2,X3) ;
  active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ;
  active(U45(X1,X2)) >= U45(active(X1),X2) ;
  active(U46(tt)) >= mark(tt) ;
  active(U46(X)) >= U46(active(X)) ;
  active(U52(tt)) >= mark(tt) ;
  active(U52(X)) >= U52(active(X)) ;
  active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ;
  active(U51(X1,X2)) >= U51(active(X1),X2) ;
  active(U62(tt)) >= mark(tt) ;
  active(U62(X)) >= U62(active(X)) ;
  active(U61(tt,V2)) >= mark(U62(isNatIListKind(V2))) ;
  active(U61(X1,X2)) >= U61(active(X1),X2) ;
  active(U71(tt)) >= mark(tt) ;
  active(U71(X)) >= U71(active(X)) ;
  active(U81(tt)) >= mark(tt) ;
  active(U81(X)) >= U81(active(X)) ;
  active(U92(tt,V1,V2)) >= mark(U93(isNatIListKind(V2),V1,V2)) ;
  active(U92(X1,X2,X3)) >= U92(active(X1),X2,X3) ;
  active(U91(tt,V1,V2)) >= mark(U92(isNatKind(V1),V1,V2)) ;
  active(U91(X1,X2,X3)) >= U91(active(X1),X2,X3) ;
  active(U93(tt,V1,V2)) >= mark(U94(isNatIListKind(V2),V1,V2)) ;
  active(U93(X1,X2,X3)) >= U93(active(X1),X2,X3) ;
  active(U94(tt,V1,V2)) >= mark(U95(isNat(V1),V2)) ;
  active(U94(X1,X2,X3)) >= U94(active(X1),X2,X3) ;
  active(U95(tt,V2)) >= mark(U96(isNatList(V2))) ;
  active(U95(X1,X2)) >= U95(active(X1),X2) ;
  active(U96(tt)) >= mark(tt) ;
  active(U96(X)) >= U96(active(X)) ;
  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)) ;
  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)) ;
  isNatIListKind(ok(X)) >= ok(isNatIListKind(X)) ;
  U104(mark(X1),X2,X3) >= mark(U104(X1,X2,X3)) ;
  U104(ok(X1),ok(X2),ok(X3)) >= ok(U104(X1,X2,X3)) ;
  U105(mark(X1),X2) >= mark(U105(X1,X2)) ;
  U105(ok(X1),ok(X2)) >= ok(U105(X1,X2)) ;
  isNat(ok(X)) >= ok(isNat(X)) ;
  U106(mark(X)) >= mark(U106(X)) ;
  U106(ok(X)) >= ok(U106(X)) ;
  isNatIList(ok(X)) >= ok(isNatIList(X)) ;
  U12(mark(X1),X2) >= mark(U12(X1,X2)) ;
  U12(ok(X1),ok(X2)) >= ok(U12(X1,X2)) ;
  U11(mark(X1),X2) >= mark(U11(X1,X2)) ;
  U11(ok(X1),ok(X2)) >= ok(U11(X1,X2)) ;
  U112(mark(X1),X2,X3) >= mark(U112(X1,X2,X3)) ;
  U112(ok(X1),ok(X2),ok(X3)) >= ok(U112(X1,X2,X3)) ;
  U111(mark(X1),X2,X3) >= mark(U111(X1,X2,X3)) ;
  U111(ok(X1),ok(X2),ok(X3)) >= ok(U111(X1,X2,X3)) ;
  U113(mark(X1),X2,X3) >= mark(U113(X1,X2,X3)) ;
  U113(ok(X1),ok(X2),ok(X3)) >= ok(U113(X1,X2,X3)) ;
  U114(mark(X1),X2) >= mark(U114(X1,X2)) ;
  U114(ok(X1),ok(X2)) >= ok(U114(X1,X2)) ;
  s(mark(X)) >= mark(s(X)) ;
  s(ok(X)) >= ok(s(X)) ;
  length(mark(X)) >= mark(length(X)) ;
  length(ok(X)) >= ok(length(X)) ;
  U13(mark(X)) >= mark(U13(X)) ;
  U13(ok(X)) >= ok(U13(X)) ;
  isNatList(ok(X)) >= ok(isNatList(X)) ;
  U122(mark(X)) >= mark(U122(X)) ;
  U122(ok(X)) >= ok(U122(X)) ;
  U121(mark(X1),X2) >= mark(U121(X1,X2)) ;
  U121(ok(X1),ok(X2)) >= ok(U121(X1,X2)) ;
  U132(mark(X1),X2,X3,X4) >= mark(U132(X1,X2,X3,X4)) ;
  U132(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U132(X1,X2,X3,X4)) ;
  U131(mark(X1),X2,X3,X4) >= mark(U131(X1,X2,X3,X4)) ;
  U131(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U131(X1,X2,X3,X4)) ;
  U133(mark(X1),X2,X3,X4) >= mark(U133(X1,X2,X3,X4)) ;
  U133(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U133(X1,X2,X3,X4)) ;
  U134(mark(X1),X2,X3,X4) >= mark(U134(X1,X2,X3,X4)) ;
  U134(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U134(X1,X2,X3,X4)) ;
  U135(mark(X1),X2,X3,X4) >= mark(U135(X1,X2,X3,X4)) ;
  U135(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U135(X1,X2,X3,X4)) ;
  U136(mark(X1),X2,X3,X4) >= mark(U136(X1,X2,X3,X4)) ;
  U136(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U136(X1,X2,X3,X4)) ;
  take(mark(X1),X2) >= mark(take(X1,X2)) ;
  take(ok(X1),ok(X2)) >= ok(take(X1,X2)) ;
  take(X1,mark(X2)) >= mark(take(X1,X2)) ;
  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) >= mark(U32(X1,X2)) ;
  U32(ok(X1),ok(X2)) >= ok(U32(X1,X2)) ;
  U31(mark(X1),X2) >= mark(U31(X1,X2)) ;
  U31(ok(X1),ok(X2)) >= ok(U31(X1,X2)) ;
  U33(mark(X)) >= mark(U33(X)) ;
  U33(ok(X)) >= ok(U33(X)) ;
  U42(mark(X1),X2,X3) >= mark(U42(X1,X2,X3)) ;
  U42(ok(X1),ok(X2),ok(X3)) >= ok(U42(X1,X2,X3)) ;
  U41(mark(X1),X2,X3) >= mark(U41(X1,X2,X3)) ;
  U41(ok(X1),ok(X2),ok(X3)) >= ok(U41(X1,X2,X3)) ;
  U43(mark(X1),X2,X3) >= mark(U43(X1,X2,X3)) ;
  U43(ok(X1),ok(X2),ok(X3)) >= ok(U43(X1,X2,X3)) ;
  U44(mark(X1),X2,X3) >= mark(U44(X1,X2,X3)) ;
  U44(ok(X1),ok(X2),ok(X3)) >= ok(U44(X1,X2,X3)) ;
  U45(mark(X1),X2) >= mark(U45(X1,X2)) ;
  U45(ok(X1),ok(X2)) >= ok(U45(X1,X2)) ;
  U46(mark(X)) >= mark(U46(X)) ;
  U46(ok(X)) >= ok(U46(X)) ;
  U52(mark(X)) >= mark(U52(X)) ;
  U52(ok(X)) >= ok(U52(X)) ;
  U51(mark(X1),X2) >= mark(U51(X1,X2)) ;
  U51(ok(X1),ok(X2)) >= ok(U51(X1,X2)) ;
  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)) ;
  U71(mark(X)) >= mark(U71(X)) ;
  U71(ok(X)) >= ok(U71(X)) ;
  U81(mark(X)) >= mark(U81(X)) ;
  U81(ok(X)) >= ok(U81(X)) ;
  U92(mark(X1),X2,X3) >= mark(U92(X1,X2,X3)) ;
  U92(ok(X1),ok(X2),ok(X3)) >= ok(U92(X1,X2,X3)) ;
  U91(mark(X1),X2,X3) >= mark(U91(X1,X2,X3)) ;
  U91(ok(X1),ok(X2),ok(X3)) >= ok(U91(X1,X2,X3)) ;
  U93(mark(X1),X2,X3) >= mark(U93(X1,X2,X3)) ;
  U93(ok(X1),ok(X2),ok(X3)) >= ok(U93(X1,X2,X3)) ;
  U94(mark(X1),X2,X3) >= mark(U94(X1,X2,X3)) ;
  U94(ok(X1),ok(X2),ok(X3)) >= ok(U94(X1,X2,X3)) ;
  U95(mark(X1),X2) >= mark(U95(X1,X2)) ;
  U95(ok(X1),ok(X2)) >= ok(U95(X1,X2)) ;
  U96(mark(X)) >= mark(U96(X)) ;
  U96(ok(X)) >= ok(U96(X)) ;
  proper(cons(X1,X2)) >= cons(proper(X1),proper(X2)) ;
  proper(0) >= ok(0) ;
  proper(zeros) >= ok(zeros) ;
  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(isNatIListKind(X)) >= isNatIListKind(proper(X)) ;
  proper(U104(X1,X2,X3)) >= U104(proper(X1),proper(X2),proper(X3)) ;
  proper(U105(X1,X2)) >= U105(proper(X1),proper(X2)) ;
  proper(isNat(X)) >= isNat(proper(X)) ;
  proper(U106(X)) >= U106(proper(X)) ;
  proper(isNatIList(X)) >= isNatIList(proper(X)) ;
  proper(U12(X1,X2)) >= U12(proper(X1),proper(X2)) ;
  proper(U11(X1,X2)) >= U11(proper(X1),proper(X2)) ;
  proper(U112(X1,X2,X3)) >= U112(proper(X1),proper(X2),proper(X3)) ;
  proper(U111(X1,X2,X3)) >= U111(proper(X1),proper(X2),proper(X3)) ;
  proper(U113(X1,X2,X3)) >= U113(proper(X1),proper(X2),proper(X3)) ;
  proper(U114(X1,X2)) >= U114(proper(X1),proper(X2)) ;
  proper(s(X)) >= s(proper(X)) ;
  proper(length(X)) >= length(proper(X)) ;
  proper(U13(X)) >= U13(proper(X)) ;
  proper(isNatList(X)) >= isNatList(proper(X)) ;
  proper(U122(X)) >= U122(proper(X)) ;
  proper(U121(X1,X2)) >= U121(proper(X1),proper(X2)) ;
  proper(nil) >= ok(nil) ;
  proper(U132(X1,X2,X3,X4)) >= U132(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U131(X1,X2,X3,X4)) >= U131(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U133(X1,X2,X3,X4)) >= U133(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U134(X1,X2,X3,X4)) >= U134(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U135(X1,X2,X3,X4)) >= U135(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U136(X1,X2,X3,X4)) >= U136(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(take(X1,X2)) >= take(proper(X1),proper(X2)) ;
  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)) >= U32(proper(X1),proper(X2)) ;
  proper(U31(X1,X2)) >= U31(proper(X1),proper(X2)) ;
  proper(U33(X)) >= U33(proper(X)) ;
  proper(U42(X1,X2,X3)) >= U42(proper(X1),proper(X2),proper(X3)) ;
  proper(U41(X1,X2,X3)) >= U41(proper(X1),proper(X2),proper(X3)) ;
  proper(U43(X1,X2,X3)) >= U43(proper(X1),proper(X2),proper(X3)) ;
  proper(U44(X1,X2,X3)) >= U44(proper(X1),proper(X2),proper(X3)) ;
  proper(U45(X1,X2)) >= U45(proper(X1),proper(X2)) ;
  proper(U46(X)) >= U46(proper(X)) ;
  proper(U52(X)) >= U52(proper(X)) ;
  proper(U51(X1,X2)) >= U51(proper(X1),proper(X2)) ;
  proper(U62(X)) >= U62(proper(X)) ;
  proper(U61(X1,X2)) >= U61(proper(X1),proper(X2)) ;
  proper(U71(X)) >= U71(proper(X)) ;
  proper(U81(X)) >= U81(proper(X)) ;
  proper(U92(X1,X2,X3)) >= U92(proper(X1),proper(X2),proper(X3)) ;
  proper(U91(X1,X2,X3)) >= U91(proper(X1),proper(X2),proper(X3)) ;
  proper(U93(X1,X2,X3)) >= U93(proper(X1),proper(X2),proper(X3)) ;
  proper(U94(X1,X2,X3)) >= U94(proper(X1),proper(X2),proper(X3)) ;
  proper(U95(X1,X2)) >= U95(proper(X1),proper(X2)) ;
  proper(U96(X)) >= U96(proper(X)) ;
  top(mark(X)) >= top(proper(X)) ;
  top(ok(X)) >= top(active(X)) ;
  Marked_top(mark(X)) >= Marked_top(proper(X)) ;
  Marked_top(ok(X)) >= Marked_top(active(X)) ;
 }
 + Disjunctions:{ 
{
  Marked_top(mark(X)) > Marked_top(proper(X)) ;
 }
{
  Marked_top(ok(X)) > Marked_top(active(X)) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
Time out for these parameters.
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat timeout reached
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (Simple graph)
Found the following constraints:
{
  cons(mark(X1),X2) >= mark(cons(X1,X2)) ;
  cons(ok(X1),ok(X2)) >= ok(cons(X1,X2)) ;
  active(cons(X1,X2)) >= cons(active(X1),X2) ;
  active(zeros) >= mark(cons(0,zeros)) ;
  active(U102(tt,V1,V2)) >= mark(U103(isNatIListKind(V2),V1,V2)) ;
  active(U102(X1,X2,X3)) >= U102(active(X1),X2,X3) ;
  active(isNatKind(0)) >= mark(tt) ;
  active(isNatKind(s(V1))) >= mark(U81(isNatKind(V1))) ;
  active(isNatKind(length(V1))) >= mark(U71(isNatIListKind(V1))) ;
  active(U101(tt,V1,V2)) >= mark(U102(isNatKind(V1),V1,V2)) ;
  active(U101(X1,X2,X3)) >= U101(active(X1),X2,X3) ;
  active(U103(tt,V1,V2)) >= mark(U104(isNatIListKind(V2),V1,V2)) ;
  active(U103(X1,X2,X3)) >= U103(active(X1),X2,X3) ;
  active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ;
  active(isNatIListKind(zeros)) >= mark(tt) ;
  active(isNatIListKind(nil)) >= mark(tt) ;
  active(isNatIListKind(take(V1,V2))) >= mark(U61(isNatKind(V1),V2)) ;
  active(U104(tt,V1,V2)) >= mark(U105(isNat(V1),V2)) ;
  active(U104(X1,X2,X3)) >= U104(active(X1),X2,X3) ;
  active(U105(tt,V2)) >= mark(U106(isNatIList(V2))) ;
  active(U105(X1,X2)) >= U105(active(X1),X2) ;
  active(isNat(0)) >= mark(tt) ;
  active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ;
  active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ;
  active(U106(tt)) >= mark(tt) ;
  active(U106(X)) >= U106(active(X)) ;
  active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ;
  active(isNatIList(zeros)) >= mark(tt) ;
  active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ;
  active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ;
  active(U12(X1,X2)) >= U12(active(X1),X2) ;
  active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ;
  active(U11(X1,X2)) >= U11(active(X1),X2) ;
  active(U112(tt,L,N)) >= mark(U113(isNat(N),L,N)) ;
  active(U112(X1,X2,X3)) >= U112(active(X1),X2,X3) ;
  active(U111(tt,L,N)) >= mark(U112(isNatIListKind(L),L,N)) ;
  active(U111(X1,X2,X3)) >= U111(active(X1),X2,X3) ;
  active(U113(tt,L,N)) >= mark(U114(isNatKind(N),L)) ;
  active(U113(X1,X2,X3)) >= U113(active(X1),X2,X3) ;
  active(U114(tt,L)) >= mark(s(length(L))) ;
  active(U114(X1,X2)) >= U114(active(X1),X2) ;
  active(s(X)) >= s(active(X)) ;
  active(length(cons(N,L))) >= mark(U111(isNatList(L),L,N)) ;
  active(length(nil)) >= mark(0) ;
  active(length(X)) >= length(active(X)) ;
  active(U13(tt)) >= mark(tt) ;
  active(U13(X)) >= U13(active(X)) ;
  active(isNatList(cons(V1,V2))) >= mark(U91(isNatKind(V1),V1,V2)) ;
  active(isNatList(nil)) >= mark(tt) ;
  active(isNatList(take(V1,V2))) >= mark(U101(isNatKind(V1),V1,V2)) ;
  active(U122(tt)) >= mark(nil) ;
  active(U122(X)) >= U122(active(X)) ;
  active(U121(tt,IL)) >= mark(U122(isNatIListKind(IL))) ;
  active(U121(X1,X2)) >= U121(active(X1),X2) ;
  active(U132(tt,IL,M,N)) >= mark(U133(isNat(M),IL,M,N)) ;
  active(U132(X1,X2,X3,X4)) >= U132(active(X1),X2,X3,X4) ;
  active(U131(tt,IL,M,N)) >= mark(U132(isNatIListKind(IL),IL,M,N)) ;
  active(U131(X1,X2,X3,X4)) >= U131(active(X1),X2,X3,X4) ;
  active(U133(tt,IL,M,N)) >= mark(U134(isNatKind(M),IL,M,N)) ;
  active(U133(X1,X2,X3,X4)) >= U133(active(X1),X2,X3,X4) ;
  active(U134(tt,IL,M,N)) >= mark(U135(isNat(N),IL,M,N)) ;
  active(U134(X1,X2,X3,X4)) >= U134(active(X1),X2,X3,X4) ;
  active(U135(tt,IL,M,N)) >= mark(U136(isNatKind(N),IL,M,N)) ;
  active(U135(X1,X2,X3,X4)) >= U135(active(X1),X2,X3,X4) ;
  active(U136(tt,IL,M,N)) >= mark(cons(N,take(M,IL))) ;
  active(U136(X1,X2,X3,X4)) >= U136(active(X1),X2,X3,X4) ;
  active(take(0,IL)) >= mark(U121(isNatIList(IL),IL)) ;
  active(take(s(M),cons(N,IL))) >= mark(U131(isNatIList(IL),IL,M,N)) ;
  active(take(X1,X2)) >= take(active(X1),X2) ;
  active(take(X1,X2)) >= take(X1,active(X2)) ;
  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,V)) >= mark(U33(isNatList(V))) ;
  active(U32(X1,X2)) >= U32(active(X1),X2) ;
  active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ;
  active(U31(X1,X2)) >= U31(active(X1),X2) ;
  active(U33(tt)) >= mark(tt) ;
  active(U33(X)) >= U33(active(X)) ;
  active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ;
  active(U42(X1,X2,X3)) >= U42(active(X1),X2,X3) ;
  active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ;
  active(U41(X1,X2,X3)) >= U41(active(X1),X2,X3) ;
  active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ;
  active(U43(X1,X2,X3)) >= U43(active(X1),X2,X3) ;
  active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ;
  active(U44(X1,X2,X3)) >= U44(active(X1),X2,X3) ;
  active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ;
  active(U45(X1,X2)) >= U45(active(X1),X2) ;
  active(U46(tt)) >= mark(tt) ;
  active(U46(X)) >= U46(active(X)) ;
  active(U52(tt)) >= mark(tt) ;
  active(U52(X)) >= U52(active(X)) ;
  active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ;
  active(U51(X1,X2)) >= U51(active(X1),X2) ;
  active(U62(tt)) >= mark(tt) ;
  active(U62(X)) >= U62(active(X)) ;
  active(U61(tt,V2)) >= mark(U62(isNatIListKind(V2))) ;
  active(U61(X1,X2)) >= U61(active(X1),X2) ;
  active(U71(tt)) >= mark(tt) ;
  active(U71(X)) >= U71(active(X)) ;
  active(U81(tt)) >= mark(tt) ;
  active(U81(X)) >= U81(active(X)) ;
  active(U92(tt,V1,V2)) >= mark(U93(isNatIListKind(V2),V1,V2)) ;
  active(U92(X1,X2,X3)) >= U92(active(X1),X2,X3) ;
  active(U91(tt,V1,V2)) >= mark(U92(isNatKind(V1),V1,V2)) ;
  active(U91(X1,X2,X3)) >= U91(active(X1),X2,X3) ;
  active(U93(tt,V1,V2)) >= mark(U94(isNatIListKind(V2),V1,V2)) ;
  active(U93(X1,X2,X3)) >= U93(active(X1),X2,X3) ;
  active(U94(tt,V1,V2)) >= mark(U95(isNat(V1),V2)) ;
  active(U94(X1,X2,X3)) >= U94(active(X1),X2,X3) ;
  active(U95(tt,V2)) >= mark(U96(isNatList(V2))) ;
  active(U95(X1,X2)) >= U95(active(X1),X2) ;
  active(U96(tt)) >= mark(tt) ;
  active(U96(X)) >= U96(active(X)) ;
  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)) ;
  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)) ;
  isNatIListKind(ok(X)) >= ok(isNatIListKind(X)) ;
  U104(mark(X1),X2,X3) >= mark(U104(X1,X2,X3)) ;
  U104(ok(X1),ok(X2),ok(X3)) >= ok(U104(X1,X2,X3)) ;
  U105(mark(X1),X2) >= mark(U105(X1,X2)) ;
  U105(ok(X1),ok(X2)) >= ok(U105(X1,X2)) ;
  isNat(ok(X)) >= ok(isNat(X)) ;
  U106(mark(X)) >= mark(U106(X)) ;
  U106(ok(X)) >= ok(U106(X)) ;
  isNatIList(ok(X)) >= ok(isNatIList(X)) ;
  U12(mark(X1),X2) >= mark(U12(X1,X2)) ;
  U12(ok(X1),ok(X2)) >= ok(U12(X1,X2)) ;
  U11(mark(X1),X2) >= mark(U11(X1,X2)) ;
  U11(ok(X1),ok(X2)) >= ok(U11(X1,X2)) ;
  U112(mark(X1),X2,X3) >= mark(U112(X1,X2,X3)) ;
  U112(ok(X1),ok(X2),ok(X3)) >= ok(U112(X1,X2,X3)) ;
  U111(mark(X1),X2,X3) >= mark(U111(X1,X2,X3)) ;
  U111(ok(X1),ok(X2),ok(X3)) >= ok(U111(X1,X2,X3)) ;
  U113(mark(X1),X2,X3) >= mark(U113(X1,X2,X3)) ;
  U113(ok(X1),ok(X2),ok(X3)) >= ok(U113(X1,X2,X3)) ;
  U114(mark(X1),X2) >= mark(U114(X1,X2)) ;
  U114(ok(X1),ok(X2)) >= ok(U114(X1,X2)) ;
  s(mark(X)) >= mark(s(X)) ;
  s(ok(X)) >= ok(s(X)) ;
  length(mark(X)) >= mark(length(X)) ;
  length(ok(X)) >= ok(length(X)) ;
  U13(mark(X)) >= mark(U13(X)) ;
  U13(ok(X)) >= ok(U13(X)) ;
  isNatList(ok(X)) >= ok(isNatList(X)) ;
  U122(mark(X)) >= mark(U122(X)) ;
  U122(ok(X)) >= ok(U122(X)) ;
  U121(mark(X1),X2) >= mark(U121(X1,X2)) ;
  U121(ok(X1),ok(X2)) >= ok(U121(X1,X2)) ;
  U132(mark(X1),X2,X3,X4) >= mark(U132(X1,X2,X3,X4)) ;
  U132(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U132(X1,X2,X3,X4)) ;
  U131(mark(X1),X2,X3,X4) >= mark(U131(X1,X2,X3,X4)) ;
  U131(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U131(X1,X2,X3,X4)) ;
  U133(mark(X1),X2,X3,X4) >= mark(U133(X1,X2,X3,X4)) ;
  U133(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U133(X1,X2,X3,X4)) ;
  U134(mark(X1),X2,X3,X4) >= mark(U134(X1,X2,X3,X4)) ;
  U134(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U134(X1,X2,X3,X4)) ;
  U135(mark(X1),X2,X3,X4) >= mark(U135(X1,X2,X3,X4)) ;
  U135(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U135(X1,X2,X3,X4)) ;
  U136(mark(X1),X2,X3,X4) >= mark(U136(X1,X2,X3,X4)) ;
  U136(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U136(X1,X2,X3,X4)) ;
  take(mark(X1),X2) >= mark(take(X1,X2)) ;
  take(ok(X1),ok(X2)) >= ok(take(X1,X2)) ;
  take(X1,mark(X2)) >= mark(take(X1,X2)) ;
  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) >= mark(U32(X1,X2)) ;
  U32(ok(X1),ok(X2)) >= ok(U32(X1,X2)) ;
  U31(mark(X1),X2) >= mark(U31(X1,X2)) ;
  U31(ok(X1),ok(X2)) >= ok(U31(X1,X2)) ;
  U33(mark(X)) >= mark(U33(X)) ;
  U33(ok(X)) >= ok(U33(X)) ;
  U42(mark(X1),X2,X3) >= mark(U42(X1,X2,X3)) ;
  U42(ok(X1),ok(X2),ok(X3)) >= ok(U42(X1,X2,X3)) ;
  U41(mark(X1),X2,X3) >= mark(U41(X1,X2,X3)) ;
  U41(ok(X1),ok(X2),ok(X3)) >= ok(U41(X1,X2,X3)) ;
  U43(mark(X1),X2,X3) >= mark(U43(X1,X2,X3)) ;
  U43(ok(X1),ok(X2),ok(X3)) >= ok(U43(X1,X2,X3)) ;
  U44(mark(X1),X2,X3) >= mark(U44(X1,X2,X3)) ;
  U44(ok(X1),ok(X2),ok(X3)) >= ok(U44(X1,X2,X3)) ;
  U45(mark(X1),X2) >= mark(U45(X1,X2)) ;
  U45(ok(X1),ok(X2)) >= ok(U45(X1,X2)) ;
  U46(mark(X)) >= mark(U46(X)) ;
  U46(ok(X)) >= ok(U46(X)) ;
  U52(mark(X)) >= mark(U52(X)) ;
  U52(ok(X)) >= ok(U52(X)) ;
  U51(mark(X1),X2) >= mark(U51(X1,X2)) ;
  U51(ok(X1),ok(X2)) >= ok(U51(X1,X2)) ;
  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)) ;
  U71(mark(X)) >= mark(U71(X)) ;
  U71(ok(X)) >= ok(U71(X)) ;
  U81(mark(X)) >= mark(U81(X)) ;
  U81(ok(X)) >= ok(U81(X)) ;
  U92(mark(X1),X2,X3) >= mark(U92(X1,X2,X3)) ;
  U92(ok(X1),ok(X2),ok(X3)) >= ok(U92(X1,X2,X3)) ;
  U91(mark(X1),X2,X3) >= mark(U91(X1,X2,X3)) ;
  U91(ok(X1),ok(X2),ok(X3)) >= ok(U91(X1,X2,X3)) ;
  U93(mark(X1),X2,X3) >= mark(U93(X1,X2,X3)) ;
  U93(ok(X1),ok(X2),ok(X3)) >= ok(U93(X1,X2,X3)) ;
  U94(mark(X1),X2,X3) >= mark(U94(X1,X2,X3)) ;
  U94(ok(X1),ok(X2),ok(X3)) >= ok(U94(X1,X2,X3)) ;
  U95(mark(X1),X2) >= mark(U95(X1,X2)) ;
  U95(ok(X1),ok(X2)) >= ok(U95(X1,X2)) ;
  U96(mark(X)) >= mark(U96(X)) ;
  U96(ok(X)) >= ok(U96(X)) ;
  proper(cons(X1,X2)) >= cons(proper(X1),proper(X2)) ;
  proper(0) >= ok(0) ;
  proper(zeros) >= ok(zeros) ;
  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(isNatIListKind(X)) >= isNatIListKind(proper(X)) ;
  proper(U104(X1,X2,X3)) >= U104(proper(X1),proper(X2),proper(X3)) ;
  proper(U105(X1,X2)) >= U105(proper(X1),proper(X2)) ;
  proper(isNat(X)) >= isNat(proper(X)) ;
  proper(U106(X)) >= U106(proper(X)) ;
  proper(isNatIList(X)) >= isNatIList(proper(X)) ;
  proper(U12(X1,X2)) >= U12(proper(X1),proper(X2)) ;
  proper(U11(X1,X2)) >= U11(proper(X1),proper(X2)) ;
  proper(U112(X1,X2,X3)) >= U112(proper(X1),proper(X2),proper(X3)) ;
  proper(U111(X1,X2,X3)) >= U111(proper(X1),proper(X2),proper(X3)) ;
  proper(U113(X1,X2,X3)) >= U113(proper(X1),proper(X2),proper(X3)) ;
  proper(U114(X1,X2)) >= U114(proper(X1),proper(X2)) ;
  proper(s(X)) >= s(proper(X)) ;
  proper(length(X)) >= length(proper(X)) ;
  proper(U13(X)) >= U13(proper(X)) ;
  proper(isNatList(X)) >= isNatList(proper(X)) ;
  proper(U122(X)) >= U122(proper(X)) ;
  proper(U121(X1,X2)) >= U121(proper(X1),proper(X2)) ;
  proper(nil) >= ok(nil) ;
  proper(U132(X1,X2,X3,X4)) >= U132(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U131(X1,X2,X3,X4)) >= U131(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U133(X1,X2,X3,X4)) >= U133(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U134(X1,X2,X3,X4)) >= U134(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U135(X1,X2,X3,X4)) >= U135(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U136(X1,X2,X3,X4)) >= U136(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(take(X1,X2)) >= take(proper(X1),proper(X2)) ;
  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)) >= U32(proper(X1),proper(X2)) ;
  proper(U31(X1,X2)) >= U31(proper(X1),proper(X2)) ;
  proper(U33(X)) >= U33(proper(X)) ;
  proper(U42(X1,X2,X3)) >= U42(proper(X1),proper(X2),proper(X3)) ;
  proper(U41(X1,X2,X3)) >= U41(proper(X1),proper(X2),proper(X3)) ;
  proper(U43(X1,X2,X3)) >= U43(proper(X1),proper(X2),proper(X3)) ;
  proper(U44(X1,X2,X3)) >= U44(proper(X1),proper(X2),proper(X3)) ;
  proper(U45(X1,X2)) >= U45(proper(X1),proper(X2)) ;
  proper(U46(X)) >= U46(proper(X)) ;
  proper(U52(X)) >= U52(proper(X)) ;
  proper(U51(X1,X2)) >= U51(proper(X1),proper(X2)) ;
  proper(U62(X)) >= U62(proper(X)) ;
  proper(U61(X1,X2)) >= U61(proper(X1),proper(X2)) ;
  proper(U71(X)) >= U71(proper(X)) ;
  proper(U81(X)) >= U81(proper(X)) ;
  proper(U92(X1,X2,X3)) >= U92(proper(X1),proper(X2),proper(X3)) ;
  proper(U91(X1,X2,X3)) >= U91(proper(X1),proper(X2),proper(X3)) ;
  proper(U93(X1,X2,X3)) >= U93(proper(X1),proper(X2),proper(X3)) ;
  proper(U94(X1,X2,X3)) >= U94(proper(X1),proper(X2),proper(X3)) ;
  proper(U95(X1,X2)) >= U95(proper(X1),proper(X2)) ;
  proper(U96(X)) >= U96(proper(X)) ;
  top(mark(X)) >= top(proper(X)) ;
  top(ok(X)) >= top(active(X)) ;
  Marked_top(mark(X)) > Marked_top(proper(X)) ;
  Marked_top(ok(X)) > Marked_top(active(X)) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  cons(mark(X1),X2) >= mark(cons(X1,X2)) ;
  cons(ok(X1),ok(X2)) >= ok(cons(X1,X2)) ;
  active(cons(X1,X2)) >= cons(active(X1),X2) ;
  active(zeros) >= mark(cons(0,zeros)) ;
  active(U102(tt,V1,V2)) >= mark(U103(isNatIListKind(V2),V1,V2)) ;
  active(U102(X1,X2,X3)) >= U102(active(X1),X2,X3) ;
  active(isNatKind(0)) >= mark(tt) ;
  active(isNatKind(s(V1))) >= mark(U81(isNatKind(V1))) ;
  active(isNatKind(length(V1))) >= mark(U71(isNatIListKind(V1))) ;
  active(U101(tt,V1,V2)) >= mark(U102(isNatKind(V1),V1,V2)) ;
  active(U101(X1,X2,X3)) >= U101(active(X1),X2,X3) ;
  active(U103(tt,V1,V2)) >= mark(U104(isNatIListKind(V2),V1,V2)) ;
  active(U103(X1,X2,X3)) >= U103(active(X1),X2,X3) ;
  active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ;
  active(isNatIListKind(zeros)) >= mark(tt) ;
  active(isNatIListKind(nil)) >= mark(tt) ;
  active(isNatIListKind(take(V1,V2))) >= mark(U61(isNatKind(V1),V2)) ;
  active(U104(tt,V1,V2)) >= mark(U105(isNat(V1),V2)) ;
  active(U104(X1,X2,X3)) >= U104(active(X1),X2,X3) ;
  active(U105(tt,V2)) >= mark(U106(isNatIList(V2))) ;
  active(U105(X1,X2)) >= U105(active(X1),X2) ;
  active(isNat(0)) >= mark(tt) ;
  active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ;
  active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ;
  active(U106(tt)) >= mark(tt) ;
  active(U106(X)) >= U106(active(X)) ;
  active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ;
  active(isNatIList(zeros)) >= mark(tt) ;
  active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ;
  active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ;
  active(U12(X1,X2)) >= U12(active(X1),X2) ;
  active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ;
  active(U11(X1,X2)) >= U11(active(X1),X2) ;
  active(U112(tt,L,N)) >= mark(U113(isNat(N),L,N)) ;
  active(U112(X1,X2,X3)) >= U112(active(X1),X2,X3) ;
  active(U111(tt,L,N)) >= mark(U112(isNatIListKind(L),L,N)) ;
  active(U111(X1,X2,X3)) >= U111(active(X1),X2,X3) ;
  active(U113(tt,L,N)) >= mark(U114(isNatKind(N),L)) ;
  active(U113(X1,X2,X3)) >= U113(active(X1),X2,X3) ;
  active(U114(tt,L)) >= mark(s(length(L))) ;
  active(U114(X1,X2)) >= U114(active(X1),X2) ;
  active(s(X)) >= s(active(X)) ;
  active(length(cons(N,L))) >= mark(U111(isNatList(L),L,N)) ;
  active(length(nil)) >= mark(0) ;
  active(length(X)) >= length(active(X)) ;
  active(U13(tt)) >= mark(tt) ;
  active(U13(X)) >= U13(active(X)) ;
  active(isNatList(cons(V1,V2))) >= mark(U91(isNatKind(V1),V1,V2)) ;
  active(isNatList(nil)) >= mark(tt) ;
  active(isNatList(take(V1,V2))) >= mark(U101(isNatKind(V1),V1,V2)) ;
  active(U122(tt)) >= mark(nil) ;
  active(U122(X)) >= U122(active(X)) ;
  active(U121(tt,IL)) >= mark(U122(isNatIListKind(IL))) ;
  active(U121(X1,X2)) >= U121(active(X1),X2) ;
  active(U132(tt,IL,M,N)) >= mark(U133(isNat(M),IL,M,N)) ;
  active(U132(X1,X2,X3,X4)) >= U132(active(X1),X2,X3,X4) ;
  active(U131(tt,IL,M,N)) >= mark(U132(isNatIListKind(IL),IL,M,N)) ;
  active(U131(X1,X2,X3,X4)) >= U131(active(X1),X2,X3,X4) ;
  active(U133(tt,IL,M,N)) >= mark(U134(isNatKind(M),IL,M,N)) ;
  active(U133(X1,X2,X3,X4)) >= U133(active(X1),X2,X3,X4) ;
  active(U134(tt,IL,M,N)) >= mark(U135(isNat(N),IL,M,N)) ;
  active(U134(X1,X2,X3,X4)) >= U134(active(X1),X2,X3,X4) ;
  active(U135(tt,IL,M,N)) >= mark(U136(isNatKind(N),IL,M,N)) ;
  active(U135(X1,X2,X3,X4)) >= U135(active(X1),X2,X3,X4) ;
  active(U136(tt,IL,M,N)) >= mark(cons(N,take(M,IL))) ;
  active(U136(X1,X2,X3,X4)) >= U136(active(X1),X2,X3,X4) ;
  active(take(0,IL)) >= mark(U121(isNatIList(IL),IL)) ;
  active(take(s(M),cons(N,IL))) >= mark(U131(isNatIList(IL),IL,M,N)) ;
  active(take(X1,X2)) >= take(active(X1),X2) ;
  active(take(X1,X2)) >= take(X1,active(X2)) ;
  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,V)) >= mark(U33(isNatList(V))) ;
  active(U32(X1,X2)) >= U32(active(X1),X2) ;
  active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ;
  active(U31(X1,X2)) >= U31(active(X1),X2) ;
  active(U33(tt)) >= mark(tt) ;
  active(U33(X)) >= U33(active(X)) ;
  active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ;
  active(U42(X1,X2,X3)) >= U42(active(X1),X2,X3) ;
  active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ;
  active(U41(X1,X2,X3)) >= U41(active(X1),X2,X3) ;
  active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ;
  active(U43(X1,X2,X3)) >= U43(active(X1),X2,X3) ;
  active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ;
  active(U44(X1,X2,X3)) >= U44(active(X1),X2,X3) ;
  active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ;
  active(U45(X1,X2)) >= U45(active(X1),X2) ;
  active(U46(tt)) >= mark(tt) ;
  active(U46(X)) >= U46(active(X)) ;
  active(U52(tt)) >= mark(tt) ;
  active(U52(X)) >= U52(active(X)) ;
  active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ;
  active(U51(X1,X2)) >= U51(active(X1),X2) ;
  active(U62(tt)) >= mark(tt) ;
  active(U62(X)) >= U62(active(X)) ;
  active(U61(tt,V2)) >= mark(U62(isNatIListKind(V2))) ;
  active(U61(X1,X2)) >= U61(active(X1),X2) ;
  active(U71(tt)) >= mark(tt) ;
  active(U71(X)) >= U71(active(X)) ;
  active(U81(tt)) >= mark(tt) ;
  active(U81(X)) >= U81(active(X)) ;
  active(U92(tt,V1,V2)) >= mark(U93(isNatIListKind(V2),V1,V2)) ;
  active(U92(X1,X2,X3)) >= U92(active(X1),X2,X3) ;
  active(U91(tt,V1,V2)) >= mark(U92(isNatKind(V1),V1,V2)) ;
  active(U91(X1,X2,X3)) >= U91(active(X1),X2,X3) ;
  active(U93(tt,V1,V2)) >= mark(U94(isNatIListKind(V2),V1,V2)) ;
  active(U93(X1,X2,X3)) >= U93(active(X1),X2,X3) ;
  active(U94(tt,V1,V2)) >= mark(U95(isNat(V1),V2)) ;
  active(U94(X1,X2,X3)) >= U94(active(X1),X2,X3) ;
  active(U95(tt,V2)) >= mark(U96(isNatList(V2))) ;
  active(U95(X1,X2)) >= U95(active(X1),X2) ;
  active(U96(tt)) >= mark(tt) ;
  active(U96(X)) >= U96(active(X)) ;
  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)) ;
  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)) ;
  isNatIListKind(ok(X)) >= ok(isNatIListKind(X)) ;
  U104(mark(X1),X2,X3) >= mark(U104(X1,X2,X3)) ;
  U104(ok(X1),ok(X2),ok(X3)) >= ok(U104(X1,X2,X3)) ;
  U105(mark(X1),X2) >= mark(U105(X1,X2)) ;
  U105(ok(X1),ok(X2)) >= ok(U105(X1,X2)) ;
  isNat(ok(X)) >= ok(isNat(X)) ;
  U106(mark(X)) >= mark(U106(X)) ;
  U106(ok(X)) >= ok(U106(X)) ;
  isNatIList(ok(X)) >= ok(isNatIList(X)) ;
  U12(mark(X1),X2) >= mark(U12(X1,X2)) ;
  U12(ok(X1),ok(X2)) >= ok(U12(X1,X2)) ;
  U11(mark(X1),X2) >= mark(U11(X1,X2)) ;
  U11(ok(X1),ok(X2)) >= ok(U11(X1,X2)) ;
  U112(mark(X1),X2,X3) >= mark(U112(X1,X2,X3)) ;
  U112(ok(X1),ok(X2),ok(X3)) >= ok(U112(X1,X2,X3)) ;
  U111(mark(X1),X2,X3) >= mark(U111(X1,X2,X3)) ;
  U111(ok(X1),ok(X2),ok(X3)) >= ok(U111(X1,X2,X3)) ;
  U113(mark(X1),X2,X3) >= mark(U113(X1,X2,X3)) ;
  U113(ok(X1),ok(X2),ok(X3)) >= ok(U113(X1,X2,X3)) ;
  U114(mark(X1),X2) >= mark(U114(X1,X2)) ;
  U114(ok(X1),ok(X2)) >= ok(U114(X1,X2)) ;
  s(mark(X)) >= mark(s(X)) ;
  s(ok(X)) >= ok(s(X)) ;
  length(mark(X)) >= mark(length(X)) ;
  length(ok(X)) >= ok(length(X)) ;
  U13(mark(X)) >= mark(U13(X)) ;
  U13(ok(X)) >= ok(U13(X)) ;
  isNatList(ok(X)) >= ok(isNatList(X)) ;
  U122(mark(X)) >= mark(U122(X)) ;
  U122(ok(X)) >= ok(U122(X)) ;
  U121(mark(X1),X2) >= mark(U121(X1,X2)) ;
  U121(ok(X1),ok(X2)) >= ok(U121(X1,X2)) ;
  U132(mark(X1),X2,X3,X4) >= mark(U132(X1,X2,X3,X4)) ;
  U132(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U132(X1,X2,X3,X4)) ;
  U131(mark(X1),X2,X3,X4) >= mark(U131(X1,X2,X3,X4)) ;
  U131(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U131(X1,X2,X3,X4)) ;
  U133(mark(X1),X2,X3,X4) >= mark(U133(X1,X2,X3,X4)) ;
  U133(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U133(X1,X2,X3,X4)) ;
  U134(mark(X1),X2,X3,X4) >= mark(U134(X1,X2,X3,X4)) ;
  U134(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U134(X1,X2,X3,X4)) ;
  U135(mark(X1),X2,X3,X4) >= mark(U135(X1,X2,X3,X4)) ;
  U135(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U135(X1,X2,X3,X4)) ;
  U136(mark(X1),X2,X3,X4) >= mark(U136(X1,X2,X3,X4)) ;
  U136(ok(X1),ok(X2),ok(X3),ok(X4)) >= ok(U136(X1,X2,X3,X4)) ;
  take(mark(X1),X2) >= mark(take(X1,X2)) ;
  take(ok(X1),ok(X2)) >= ok(take(X1,X2)) ;
  take(X1,mark(X2)) >= mark(take(X1,X2)) ;
  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) >= mark(U32(X1,X2)) ;
  U32(ok(X1),ok(X2)) >= ok(U32(X1,X2)) ;
  U31(mark(X1),X2) >= mark(U31(X1,X2)) ;
  U31(ok(X1),ok(X2)) >= ok(U31(X1,X2)) ;
  U33(mark(X)) >= mark(U33(X)) ;
  U33(ok(X)) >= ok(U33(X)) ;
  U42(mark(X1),X2,X3) >= mark(U42(X1,X2,X3)) ;
  U42(ok(X1),ok(X2),ok(X3)) >= ok(U42(X1,X2,X3)) ;
  U41(mark(X1),X2,X3) >= mark(U41(X1,X2,X3)) ;
  U41(ok(X1),ok(X2),ok(X3)) >= ok(U41(X1,X2,X3)) ;
  U43(mark(X1),X2,X3) >= mark(U43(X1,X2,X3)) ;
  U43(ok(X1),ok(X2),ok(X3)) >= ok(U43(X1,X2,X3)) ;
  U44(mark(X1),X2,X3) >= mark(U44(X1,X2,X3)) ;
  U44(ok(X1),ok(X2),ok(X3)) >= ok(U44(X1,X2,X3)) ;
  U45(mark(X1),X2) >= mark(U45(X1,X2)) ;
  U45(ok(X1),ok(X2)) >= ok(U45(X1,X2)) ;
  U46(mark(X)) >= mark(U46(X)) ;
  U46(ok(X)) >= ok(U46(X)) ;
  U52(mark(X)) >= mark(U52(X)) ;
  U52(ok(X)) >= ok(U52(X)) ;
  U51(mark(X1),X2) >= mark(U51(X1,X2)) ;
  U51(ok(X1),ok(X2)) >= ok(U51(X1,X2)) ;
  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)) ;
  U71(mark(X)) >= mark(U71(X)) ;
  U71(ok(X)) >= ok(U71(X)) ;
  U81(mark(X)) >= mark(U81(X)) ;
  U81(ok(X)) >= ok(U81(X)) ;
  U92(mark(X1),X2,X3) >= mark(U92(X1,X2,X3)) ;
  U92(ok(X1),ok(X2),ok(X3)) >= ok(U92(X1,X2,X3)) ;
  U91(mark(X1),X2,X3) >= mark(U91(X1,X2,X3)) ;
  U91(ok(X1),ok(X2),ok(X3)) >= ok(U91(X1,X2,X3)) ;
  U93(mark(X1),X2,X3) >= mark(U93(X1,X2,X3)) ;
  U93(ok(X1),ok(X2),ok(X3)) >= ok(U93(X1,X2,X3)) ;
  U94(mark(X1),X2,X3) >= mark(U94(X1,X2,X3)) ;
  U94(ok(X1),ok(X2),ok(X3)) >= ok(U94(X1,X2,X3)) ;
  U95(mark(X1),X2) >= mark(U95(X1,X2)) ;
  U95(ok(X1),ok(X2)) >= ok(U95(X1,X2)) ;
  U96(mark(X)) >= mark(U96(X)) ;
  U96(ok(X)) >= ok(U96(X)) ;
  proper(cons(X1,X2)) >= cons(proper(X1),proper(X2)) ;
  proper(0) >= ok(0) ;
  proper(zeros) >= ok(zeros) ;
  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(isNatIListKind(X)) >= isNatIListKind(proper(X)) ;
  proper(U104(X1,X2,X3)) >= U104(proper(X1),proper(X2),proper(X3)) ;
  proper(U105(X1,X2)) >= U105(proper(X1),proper(X2)) ;
  proper(isNat(X)) >= isNat(proper(X)) ;
  proper(U106(X)) >= U106(proper(X)) ;
  proper(isNatIList(X)) >= isNatIList(proper(X)) ;
  proper(U12(X1,X2)) >= U12(proper(X1),proper(X2)) ;
  proper(U11(X1,X2)) >= U11(proper(X1),proper(X2)) ;
  proper(U112(X1,X2,X3)) >= U112(proper(X1),proper(X2),proper(X3)) ;
  proper(U111(X1,X2,X3)) >= U111(proper(X1),proper(X2),proper(X3)) ;
  proper(U113(X1,X2,X3)) >= U113(proper(X1),proper(X2),proper(X3)) ;
  proper(U114(X1,X2)) >= U114(proper(X1),proper(X2)) ;
  proper(s(X)) >= s(proper(X)) ;
  proper(length(X)) >= length(proper(X)) ;
  proper(U13(X)) >= U13(proper(X)) ;
  proper(isNatList(X)) >= isNatList(proper(X)) ;
  proper(U122(X)) >= U122(proper(X)) ;
  proper(U121(X1,X2)) >= U121(proper(X1),proper(X2)) ;
  proper(nil) >= ok(nil) ;
  proper(U132(X1,X2,X3,X4)) >= U132(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U131(X1,X2,X3,X4)) >= U131(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U133(X1,X2,X3,X4)) >= U133(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U134(X1,X2,X3,X4)) >= U134(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U135(X1,X2,X3,X4)) >= U135(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(U136(X1,X2,X3,X4)) >= U136(proper(X1),proper(X2),proper(X3),
                                proper(X4)) ;
  proper(take(X1,X2)) >= take(proper(X1),proper(X2)) ;
  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)) >= U32(proper(X1),proper(X2)) ;
  proper(U31(X1,X2)) >= U31(proper(X1),proper(X2)) ;
  proper(U33(X)) >= U33(proper(X)) ;
  proper(U42(X1,X2,X3)) >= U42(proper(X1),proper(X2),proper(X3)) ;
  proper(U41(X1,X2,X3)) >= U41(proper(X1),proper(X2),proper(X3)) ;
  proper(U43(X1,X2,X3)) >= U43(proper(X1),proper(X2),proper(X3)) ;
  proper(U44(X1,X2,X3)) >= U44(proper(X1),proper(X2),proper(X3)) ;
  proper(U45(X1,X2)) >= U45(proper(X1),proper(X2)) ;
  proper(U46(X)) >= U46(proper(X)) ;
  proper(U52(X)) >= U52(proper(X)) ;
  proper(U51(X1,X2)) >= U51(proper(X1),proper(X2)) ;
  proper(U62(X)) >= U62(proper(X)) ;
  proper(U61(X1,X2)) >= U61(proper(X1),proper(X2)) ;
  proper(U71(X)) >= U71(proper(X)) ;
  proper(U81(X)) >= U81(proper(X)) ;
  proper(U92(X1,X2,X3)) >= U92(proper(X1),proper(X2),proper(X3)) ;
  proper(U91(X1,X2,X3)) >= U91(proper(X1),proper(X2),proper(X3)) ;
  proper(U93(X1,X2,X3)) >= U93(proper(X1),proper(X2),proper(X3)) ;
  proper(U94(X1,X2,X3)) >= U94(proper(X1),proper(X2),proper(X3)) ;
  proper(U95(X1,X2)) >= U95(proper(X1),proper(X2)) ;
  proper(U96(X)) >= U96(proper(X)) ;
  top(mark(X)) >= top(proper(X)) ;
  top(ok(X)) >= top(active(X)) ;
  Marked_top(mark(X)) > Marked_top(proper(X)) ;
  Marked_top(ok(X)) > Marked_top(active(X)) ;
 }
 + Disjunctions:{ 
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
Time out for these parameters.
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat timeout reached
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (ID_CRIT)
NOT SOLVED
No proof found
Cime worked for 198.971980 seconds (real time)
Cime Exit Status: 0