- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] active(zeros) -> mark(cons(0,zeros)) [2] active(U11(tt,V1)) -> mark(U12(isNatIListKind(V1),V1)) [3] active(U12(tt,V1)) -> mark(U13(isNatList(V1))) [4] active(U13(tt)) -> mark(tt) [5] active(U21(tt,V1)) -> mark(U22(isNatKind(V1),V1)) [6] active(U22(tt,V1)) -> mark(U23(isNat(V1))) [7] active(U23(tt)) -> mark(tt) [8] active(U31(tt,V)) -> mark(U32(isNatIListKind(V),V)) [9] active(U32(tt,V)) -> mark(U33(isNatList(V))) [10] active(U33(tt)) -> mark(tt) [11] active(U41(tt,V1,V2)) -> mark(U42(isNatKind(V1),V1,V2)) [12] active(U42(tt,V1,V2)) -> mark(U43(isNatIListKind(V2),V1,V2)) [13] active(U43(tt,V1,V2)) -> mark(U44(isNatIListKind(V2),V1,V2)) [14] active(U44(tt,V1,V2)) -> mark(U45(isNat(V1),V2)) [15] active(U45(tt,V2)) -> mark(U46(isNatIList(V2))) [16] active(U46(tt)) -> mark(tt) [17] active(U51(tt,V2)) -> mark(U52(isNatIListKind(V2))) [18] active(U52(tt)) -> mark(tt) [19] active(U61(tt)) -> mark(tt) [20] active(U71(tt)) -> mark(tt) [21] active(U81(tt,V1,V2)) -> mark(U82(isNatKind(V1),V1,V2)) [22] active(U82(tt,V1,V2)) -> mark(U83(isNatIListKind(V2),V1,V2)) [23] active(U83(tt,V1,V2)) -> mark(U84(isNatIListKind(V2),V1,V2)) [24] active(U84(tt,V1,V2)) -> mark(U85(isNat(V1),V2)) [25] active(U85(tt,V2)) -> mark(U86(isNatList(V2))) [26] active(U86(tt)) -> mark(tt) [27] active(U91(tt,L,N)) -> mark(U92(isNatIListKind(L),L,N)) [28] active(U92(tt,L,N)) -> mark(U93(isNat(N),L,N)) [29] active(U93(tt,L,N)) -> mark(U94(isNatKind(N),L)) [30] active(U94(tt,L)) -> mark(s(length(L))) [31] active(isNat(0)) -> mark(tt) [32] active(isNat(length(V1))) -> mark(U11(isNatIListKind(V1),V1)) [33] active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1)) [34] active(isNatIList(V)) -> mark(U31(isNatIListKind(V),V)) [35] active(isNatIList(zeros)) -> mark(tt) [36] active(isNatIList(cons(V1,V2))) -> mark(U41(isNatKind(V1),V1,V2)) [37] active(isNatIListKind(nil)) -> mark(tt) [38] active(isNatIListKind(zeros)) -> mark(tt) [39] active(isNatIListKind(cons(V1,V2))) -> mark(U51(isNatKind(V1),V2)) [40] active(isNatKind(0)) -> mark(tt) [41] active(isNatKind(length(V1))) -> mark(U61(isNatIListKind(V1))) [42] active(isNatKind(s(V1))) -> mark(U71(isNatKind(V1))) [43] active(isNatList(nil)) -> mark(tt) [44] active(isNatList(cons(V1,V2))) -> mark(U81(isNatKind(V1),V1,V2)) [45] active(length(nil)) -> mark(0) [46] active(length(cons(N,L))) -> mark(U91(isNatList(L),L,N)) [47] mark(zeros) -> active(zeros) [48] mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) [49] mark(0) -> active(0) [50] mark(U11(X1,X2)) -> active(U11(mark(X1),X2)) [51] mark(tt) -> active(tt) [52] mark(U12(X1,X2)) -> active(U12(mark(X1),X2)) [53] mark(isNatIListKind(X)) -> active(isNatIListKind(X)) [54] mark(U13(X)) -> active(U13(mark(X))) [55] mark(isNatList(X)) -> active(isNatList(X)) [56] mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) [57] mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) [58] mark(isNatKind(X)) -> active(isNatKind(X)) [59] mark(U23(X)) -> active(U23(mark(X))) [60] mark(isNat(X)) -> active(isNat(X)) [61] mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) [62] mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) [63] mark(U33(X)) -> active(U33(mark(X))) [64] mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) [65] mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) [66] mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3)) [67] mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3)) [68] mark(U45(X1,X2)) -> active(U45(mark(X1),X2)) [69] mark(U46(X)) -> active(U46(mark(X))) [70] mark(isNatIList(X)) -> active(isNatIList(X)) [71] mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) [72] mark(U52(X)) -> active(U52(mark(X))) [73] mark(U61(X)) -> active(U61(mark(X))) [74] mark(U71(X)) -> active(U71(mark(X))) [75] mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) [76] mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) [77] mark(U83(X1,X2,X3)) -> active(U83(mark(X1),X2,X3)) [78] mark(U84(X1,X2,X3)) -> active(U84(mark(X1),X2,X3)) [79] mark(U85(X1,X2)) -> active(U85(mark(X1),X2)) [80] mark(U86(X)) -> active(U86(mark(X))) [81] mark(U91(X1,X2,X3)) -> active(U91(mark(X1),X2,X3)) [82] mark(U92(X1,X2,X3)) -> active(U92(mark(X1),X2,X3)) [83] mark(U93(X1,X2,X3)) -> active(U93(mark(X1),X2,X3)) [84] mark(U94(X1,X2)) -> active(U94(mark(X1),X2)) [85] mark(s(X)) -> active(s(mark(X))) [86] mark(length(X)) -> active(length(mark(X))) [87] mark(nil) -> active(nil) [88] cons(mark(X1),X2) -> cons(X1,X2) [89] cons(X1,mark(X2)) -> cons(X1,X2) [90] cons(active(X1),X2) -> cons(X1,X2) [91] cons(X1,active(X2)) -> cons(X1,X2) [92] U11(mark(X1),X2) -> U11(X1,X2) [93] U11(X1,mark(X2)) -> U11(X1,X2) [94] U11(active(X1),X2) -> U11(X1,X2) [95] U11(X1,active(X2)) -> U11(X1,X2) [96] U12(mark(X1),X2) -> U12(X1,X2) [97] U12(X1,mark(X2)) -> U12(X1,X2) [98] U12(active(X1),X2) -> U12(X1,X2) [99] U12(X1,active(X2)) -> U12(X1,X2) [100] isNatIListKind(mark(X)) -> isNatIListKind(X) [101] isNatIListKind(active(X)) -> isNatIListKind(X) [102] U13(mark(X)) -> U13(X) [103] U13(active(X)) -> U13(X) [104] isNatList(mark(X)) -> isNatList(X) [105] isNatList(active(X)) -> isNatList(X) [106] U21(mark(X1),X2) -> U21(X1,X2) [107] U21(X1,mark(X2)) -> U21(X1,X2) [108] U21(active(X1),X2) -> U21(X1,X2) [109] U21(X1,active(X2)) -> U21(X1,X2) [110] U22(mark(X1),X2) -> U22(X1,X2) [111] U22(X1,mark(X2)) -> U22(X1,X2) [112] U22(active(X1),X2) -> U22(X1,X2) [113] U22(X1,active(X2)) -> U22(X1,X2) [114] isNatKind(mark(X)) -> isNatKind(X) [115] isNatKind(active(X)) -> isNatKind(X) [116] U23(mark(X)) -> U23(X) [117] U23(active(X)) -> U23(X) [118] isNat(mark(X)) -> isNat(X) [119] isNat(active(X)) -> isNat(X) [120] U31(mark(X1),X2) -> U31(X1,X2) [121] U31(X1,mark(X2)) -> U31(X1,X2) [122] U31(active(X1),X2) -> U31(X1,X2) [123] U31(X1,active(X2)) -> U31(X1,X2) [124] U32(mark(X1),X2) -> U32(X1,X2) [125] U32(X1,mark(X2)) -> U32(X1,X2) [126] U32(active(X1),X2) -> U32(X1,X2) [127] U32(X1,active(X2)) -> U32(X1,X2) [128] U33(mark(X)) -> U33(X) [129] U33(active(X)) -> U33(X) [130] U41(mark(X1),X2,X3) -> U41(X1,X2,X3) [131] U41(X1,mark(X2),X3) -> U41(X1,X2,X3) [132] U41(X1,X2,mark(X3)) -> U41(X1,X2,X3) [133] U41(active(X1),X2,X3) -> U41(X1,X2,X3) [134] U41(X1,active(X2),X3) -> U41(X1,X2,X3) [135] U41(X1,X2,active(X3)) -> U41(X1,X2,X3) [136] U42(mark(X1),X2,X3) -> U42(X1,X2,X3) [137] U42(X1,mark(X2),X3) -> U42(X1,X2,X3) [138] U42(X1,X2,mark(X3)) -> U42(X1,X2,X3) [139] U42(active(X1),X2,X3) -> U42(X1,X2,X3) [140] U42(X1,active(X2),X3) -> U42(X1,X2,X3) [141] U42(X1,X2,active(X3)) -> U42(X1,X2,X3) [142] U43(mark(X1),X2,X3) -> U43(X1,X2,X3) [143] U43(X1,mark(X2),X3) -> U43(X1,X2,X3) [144] U43(X1,X2,mark(X3)) -> U43(X1,X2,X3) [145] U43(active(X1),X2,X3) -> U43(X1,X2,X3) [146] U43(X1,active(X2),X3) -> U43(X1,X2,X3) [147] U43(X1,X2,active(X3)) -> U43(X1,X2,X3) [148] U44(mark(X1),X2,X3) -> U44(X1,X2,X3) [149] U44(X1,mark(X2),X3) -> U44(X1,X2,X3) [150] U44(X1,X2,mark(X3)) -> U44(X1,X2,X3) [151] U44(active(X1),X2,X3) -> U44(X1,X2,X3) [152] U44(X1,active(X2),X3) -> U44(X1,X2,X3) [153] U44(X1,X2,active(X3)) -> U44(X1,X2,X3) [154] U45(mark(X1),X2) -> U45(X1,X2) [155] U45(X1,mark(X2)) -> U45(X1,X2) [156] U45(active(X1),X2) -> U45(X1,X2) [157] U45(X1,active(X2)) -> U45(X1,X2) [158] U46(mark(X)) -> U46(X) [159] U46(active(X)) -> U46(X) [160] isNatIList(mark(X)) -> isNatIList(X) [161] isNatIList(active(X)) -> isNatIList(X) [162] U51(mark(X1),X2) -> U51(X1,X2) [163] U51(X1,mark(X2)) -> U51(X1,X2) [164] U51(active(X1),X2) -> U51(X1,X2) [165] U51(X1,active(X2)) -> U51(X1,X2) [166] U52(mark(X)) -> U52(X) [167] U52(active(X)) -> U52(X) [168] U61(mark(X)) -> U61(X) [169] U61(active(X)) -> U61(X) [170] U71(mark(X)) -> U71(X) [171] U71(active(X)) -> U71(X) [172] U81(mark(X1),X2,X3) -> U81(X1,X2,X3) [173] U81(X1,mark(X2),X3) -> U81(X1,X2,X3) [174] U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) [175] U81(active(X1),X2,X3) -> U81(X1,X2,X3) [176] U81(X1,active(X2),X3) -> U81(X1,X2,X3) [177] U81(X1,X2,active(X3)) -> U81(X1,X2,X3) [178] U82(mark(X1),X2,X3) -> U82(X1,X2,X3) [179] U82(X1,mark(X2),X3) -> U82(X1,X2,X3) [180] U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) [181] U82(active(X1),X2,X3) -> U82(X1,X2,X3) [182] U82(X1,active(X2),X3) -> U82(X1,X2,X3) [183] U82(X1,X2,active(X3)) -> U82(X1,X2,X3) [184] U83(mark(X1),X2,X3) -> U83(X1,X2,X3) [185] U83(X1,mark(X2),X3) -> U83(X1,X2,X3) [186] U83(X1,X2,mark(X3)) -> U83(X1,X2,X3) [187] U83(active(X1),X2,X3) -> U83(X1,X2,X3) [188] U83(X1,active(X2),X3) -> U83(X1,X2,X3) [189] U83(X1,X2,active(X3)) -> U83(X1,X2,X3) [190] U84(mark(X1),X2,X3) -> U84(X1,X2,X3) [191] U84(X1,mark(X2),X3) -> U84(X1,X2,X3) [192] U84(X1,X2,mark(X3)) -> U84(X1,X2,X3) [193] U84(active(X1),X2,X3) -> U84(X1,X2,X3) [194] U84(X1,active(X2),X3) -> U84(X1,X2,X3) [195] U84(X1,X2,active(X3)) -> U84(X1,X2,X3) [196] U85(mark(X1),X2) -> U85(X1,X2) [197] U85(X1,mark(X2)) -> U85(X1,X2) [198] U85(active(X1),X2) -> U85(X1,X2) [199] U85(X1,active(X2)) -> U85(X1,X2) [200] U86(mark(X)) -> U86(X) [201] U86(active(X)) -> U86(X) [202] U91(mark(X1),X2,X3) -> U91(X1,X2,X3) [203] U91(X1,mark(X2),X3) -> U91(X1,X2,X3) [204] U91(X1,X2,mark(X3)) -> U91(X1,X2,X3) [205] U91(active(X1),X2,X3) -> U91(X1,X2,X3) [206] U91(X1,active(X2),X3) -> U91(X1,X2,X3) [207] U91(X1,X2,active(X3)) -> U91(X1,X2,X3) [208] U92(mark(X1),X2,X3) -> U92(X1,X2,X3) [209] U92(X1,mark(X2),X3) -> U92(X1,X2,X3) [210] U92(X1,X2,mark(X3)) -> U92(X1,X2,X3) [211] U92(active(X1),X2,X3) -> U92(X1,X2,X3) [212] U92(X1,active(X2),X3) -> U92(X1,X2,X3) [213] U92(X1,X2,active(X3)) -> U92(X1,X2,X3) [214] U93(mark(X1),X2,X3) -> U93(X1,X2,X3) [215] U93(X1,mark(X2),X3) -> U93(X1,X2,X3) [216] U93(X1,X2,mark(X3)) -> U93(X1,X2,X3) [217] U93(active(X1),X2,X3) -> U93(X1,X2,X3) [218] U93(X1,active(X2),X3) -> U93(X1,X2,X3) [219] U93(X1,X2,active(X3)) -> U93(X1,X2,X3) [220] U94(mark(X1),X2) -> U94(X1,X2) [221] U94(X1,mark(X2)) -> U94(X1,X2) [222] U94(active(X1),X2) -> U94(X1,X2) [223] U94(X1,active(X2)) -> U94(X1,X2) [224] s(mark(X)) -> s(X) [225] s(active(X)) -> s(X) [226] length(mark(X)) -> length(X) [227] length(active(X)) -> length(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 38 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> 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--> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U13(X)) >= active(U13(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U33(X)) >= active(U33(mark(X))) ; mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) ; mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) ; mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) ; mark(U46(X)) >= active(U46(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U61(X)) >= active(U61(mark(X))) ; mark(U71(X)) >= active(U71(mark(X))) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) ; mark(U86(X)) >= active(U86(mark(X))) ; mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) ; mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) ; mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) ; mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ; active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ; active(U13(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ; active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U32(tt,V)) >= mark(U33(isNatList(V))) ; active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ; active(U33(tt)) >= mark(tt) ; active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ; active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ; active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ; active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ; active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ; active(U46(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ; active(U61(tt)) >= mark(tt) ; active(U71(tt)) >= mark(tt) ; active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ; active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ; active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ; active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ; active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ; active(U86(tt)) >= mark(tt) ; active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ; active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ; active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ; active(U94(tt,L)) >= mark(s(length(L))) ; active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U12(mark(X1),X2) >= U12(X1,X2) ; U12(active(X1),X2) >= U12(X1,X2) ; U12(X1,mark(X2)) >= U12(X1,X2) ; U12(X1,active(X2)) >= U12(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U13(mark(X)) >= U13(X) ; U13(active(X)) >= U13(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U32(mark(X1),X2) >= U32(X1,X2) ; U32(active(X1),X2) >= U32(X1,X2) ; U32(X1,mark(X2)) >= U32(X1,X2) ; U32(X1,active(X2)) >= U32(X1,X2) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U33(mark(X)) >= U33(X) ; U33(active(X)) >= U33(X) ; U42(mark(X1),X2,X3) >= U42(X1,X2,X3) ; U42(active(X1),X2,X3) >= U42(X1,X2,X3) ; U42(X1,mark(X2),X3) >= U42(X1,X2,X3) ; U42(X1,active(X2),X3) >= U42(X1,X2,X3) ; U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) ; U42(X1,X2,active(X3)) >= U42(X1,X2,X3) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X1),X2,X3) >= U43(X1,X2,X3) ; U43(active(X1),X2,X3) >= U43(X1,X2,X3) ; U43(X1,mark(X2),X3) >= U43(X1,X2,X3) ; U43(X1,active(X2),X3) >= U43(X1,X2,X3) ; U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) ; U43(X1,X2,active(X3)) >= U43(X1,X2,X3) ; U44(mark(X1),X2,X3) >= U44(X1,X2,X3) ; U44(active(X1),X2,X3) >= U44(X1,X2,X3) ; U44(X1,mark(X2),X3) >= U44(X1,X2,X3) ; U44(X1,active(X2),X3) >= U44(X1,X2,X3) ; U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) ; U44(X1,X2,active(X3)) >= U44(X1,X2,X3) ; U45(mark(X1),X2) >= U45(X1,X2) ; U45(active(X1),X2) >= U45(X1,X2) ; U45(X1,mark(X2)) >= U45(X1,X2) ; U45(X1,active(X2)) >= U45(X1,X2) ; U46(mark(X)) >= U46(X) ; U46(active(X)) >= U46(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U61(mark(X)) >= U61(X) ; U61(active(X)) >= U61(X) ; U71(mark(X)) >= U71(X) ; U71(active(X)) >= U71(X) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; U85(mark(X1),X2) >= U85(X1,X2) ; U85(active(X1),X2) >= U85(X1,X2) ; U85(X1,mark(X2)) >= U85(X1,X2) ; U85(X1,active(X2)) >= U85(X1,X2) ; U86(mark(X)) >= U86(X) ; U86(active(X)) >= U86(X) ; U92(mark(X1),X2,X3) >= U92(X1,X2,X3) ; U92(active(X1),X2,X3) >= U92(X1,X2,X3) ; U92(X1,mark(X2),X3) >= U92(X1,X2,X3) ; U92(X1,active(X2),X3) >= U92(X1,X2,X3) ; U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) ; U92(X1,X2,active(X3)) >= U92(X1,X2,X3) ; U91(mark(X1),X2,X3) >= U91(X1,X2,X3) ; U91(active(X1),X2,X3) >= U91(X1,X2,X3) ; U91(X1,mark(X2),X3) >= U91(X1,X2,X3) ; U91(X1,active(X2),X3) >= U91(X1,X2,X3) ; U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) ; U91(X1,X2,active(X3)) >= U91(X1,X2,X3) ; U93(mark(X1),X2,X3) >= U93(X1,X2,X3) ; U93(active(X1),X2,X3) >= U93(X1,X2,X3) ; U93(X1,mark(X2),X3) >= U93(X1,X2,X3) ; U93(X1,active(X2),X3) >= U93(X1,X2,X3) ; U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) ; U93(X1,X2,active(X3)) >= U93(X1,X2,X3) ; U94(mark(X1),X2) >= U94(X1,X2) ; U94(active(X1),X2) >= U94(X1,X2) ; U94(X1,mark(X2)) >= U94(X1,X2) ; U94(X1,active(X2)) >= U94(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) ; Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(U13(X)) >= Marked_active(U13(mark(X))) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U23(X)) >= Marked_active(U23(mark(X))) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U33(X)) >= Marked_active(U33(mark(X))) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(U46(X)) >= Marked_active(U46(mark(X))) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U61(X)) >= Marked_active(U61(mark(X))) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_active(U71(mark(X))) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U86(X)) >= Marked_active(U86(mark(X))) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) ; Marked_mark(U94(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) ; Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark(U51(isNatKind(V1), V2)) ; Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatIListKind(V1),V1)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81(isNatKind(V1),V1,V2)) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) ; Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind(V1),V1)) ; Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) ; Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) ; Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1),V1,V2)) ; Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) ; Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNatKind(V1), V1,V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V),V)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) ; Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1),V1,V2)) ; Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) ; Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) ; Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) ; Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L),L,N)) ; Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) ; Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(cons(X1,X2)) > Marked_active(cons(mark(X1),X2)) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_active(U12(mark(X1),X2)) ; } { Marked_mark(isNatIListKind(X)) > Marked_active(isNatIListKind(X)) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(U13(X)) > Marked_active(U13(mark(X))) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U23(X)) > Marked_active(U23(mark(X))) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_active(U32(mark(X1),X2)) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2)) > Marked_active(U31(mark(X1),X2)) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U33(X)) > Marked_active(U33(mark(X))) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_active(U42(mark(X1),X2,X3)) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_active(U43(mark(X1),X2,X3)) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_active(U44(mark(X1),X2,X3)) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_active(U45(mark(X1),X2)) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(U46(X)) > Marked_active(U46(mark(X))) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U52(X)) > Marked_active(U52(mark(X))) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U61(X)) > Marked_active(U61(mark(X))) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_active(U71(mark(X))) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_active(U85(mark(X1),X2)) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U86(X)) > Marked_active(U86(mark(X))) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_active(U92(mark(X1),X2,X3)) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_active(U91(mark(X1),X2,X3)) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_active(U93(mark(X1),X2,X3)) ; } { Marked_mark(U94(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2)) > Marked_active(U94(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(U12(tt,V1)) > Marked_mark(U13(isNatList(V1))) ; } { Marked_active(isNatIListKind(cons(V1,V2))) > Marked_mark(U51(isNatKind(V1), V2)) ; } { Marked_active(U11(tt,V1)) > Marked_mark(U12(isNatIListKind(V1),V1)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U81(isNatKind(V1),V1,V2)) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U71(isNatKind(V1))) ; } { Marked_active(isNatKind(length(V1))) > Marked_mark(U61(isNatIListKind(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatIListKind(V1),V1)) ; } { Marked_active(U32(tt,V)) > Marked_mark(U33(isNatList(V))) ; } { Marked_active(U31(tt,V)) > Marked_mark(U32(isNatIListKind(V),V)) ; } { Marked_active(U42(tt,V1,V2)) > Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U41(tt,V1,V2)) > Marked_mark(U42(isNatKind(V1),V1,V2)) ; } { Marked_active(U43(tt,V1,V2)) > Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U44(tt,V1,V2)) > Marked_mark(U45(isNat(V1),V2)) ; } { Marked_active(U45(tt,V2)) > Marked_mark(U46(isNatIList(V2))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNatKind(V1),V1,V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatIListKind(V),V)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatIListKind(V2))) ; } { Marked_active(U82(tt,V1,V2)) > Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U81(tt,V1,V2)) > Marked_mark(U82(isNatKind(V1),V1,V2)) ; } { Marked_active(U83(tt,V1,V2)) > Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U84(tt,V1,V2)) > Marked_mark(U85(isNat(V1),V2)) ; } { Marked_active(U85(tt,V2)) > Marked_mark(U86(isNatList(V2))) ; } { Marked_active(U92(tt,L,N)) > Marked_mark(U93(isNat(N),L,N)) ; } { Marked_active(U91(tt,L,N)) > Marked_mark(U92(isNatIListKind(L),L,N)) ; } { Marked_active(U93(tt,L,N)) > Marked_mark(U94(isNatKind(N),L)) ; } { Marked_active(U94(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U91(isNatList(L),L,N)) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U13(X)) >= active(U13(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U33(X)) >= active(U33(mark(X))) constraint: mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) constraint: mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) constraint: mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) constraint: mark(U46(X)) >= active(U46(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U61(X)) >= active(U61(mark(X))) constraint: mark(U71(X)) >= active(U71(mark(X))) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) constraint: mark(U86(X)) >= active(U86(mark(X))) constraint: mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) constraint: mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) constraint: mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) constraint: mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt,V1)) >= mark(U13(isNatList(V1))) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) constraint: active(U13(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) constraint: active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U32(tt,V)) >= mark(U33(isNatList(V))) constraint: active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) constraint: active(U33(tt)) >= mark(tt) constraint: active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) constraint: active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) constraint: active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) constraint: active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) constraint: active(U46(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) constraint: active(U61(tt)) >= mark(tt) constraint: active(U71(tt)) >= mark(tt) constraint: active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) constraint: active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) constraint: active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) constraint: active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) constraint: active(U85(tt,V2)) >= mark(U86(isNatList(V2))) constraint: active(U86(tt)) >= mark(tt) constraint: active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) constraint: active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) constraint: active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) constraint: active(U94(tt,L)) >= mark(s(length(L))) constraint: active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U12(mark(X1),X2) >= U12(X1,X2) constraint: U12(active(X1),X2) >= U12(X1,X2) constraint: U12(X1,mark(X2)) >= U12(X1,X2) constraint: U12(X1,active(X2)) >= U12(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U13(mark(X)) >= U13(X) constraint: U13(active(X)) >= U13(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U32(mark(X1),X2) >= U32(X1,X2) constraint: U32(active(X1),X2) >= U32(X1,X2) constraint: U32(X1,mark(X2)) >= U32(X1,X2) constraint: U32(X1,active(X2)) >= U32(X1,X2) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U33(mark(X)) >= U33(X) constraint: U33(active(X)) >= U33(X) constraint: U42(mark(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(active(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(X1,mark(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,active(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) constraint: U42(X1,X2,active(X3)) >= U42(X1,X2,X3) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(active(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(X1,mark(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,active(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) constraint: U43(X1,X2,active(X3)) >= U43(X1,X2,X3) constraint: U44(mark(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(active(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(X1,mark(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,active(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) constraint: U44(X1,X2,active(X3)) >= U44(X1,X2,X3) constraint: U45(mark(X1),X2) >= U45(X1,X2) constraint: U45(active(X1),X2) >= U45(X1,X2) constraint: U45(X1,mark(X2)) >= U45(X1,X2) constraint: U45(X1,active(X2)) >= U45(X1,X2) constraint: U46(mark(X)) >= U46(X) constraint: U46(active(X)) >= U46(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U61(mark(X)) >= U61(X) constraint: U61(active(X)) >= U61(X) constraint: U71(mark(X)) >= U71(X) constraint: U71(active(X)) >= U71(X) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: U85(mark(X1),X2) >= U85(X1,X2) constraint: U85(active(X1),X2) >= U85(X1,X2) constraint: U85(X1,mark(X2)) >= U85(X1,X2) constraint: U85(X1,active(X2)) >= U85(X1,X2) constraint: U86(mark(X)) >= U86(X) constraint: U86(active(X)) >= U86(X) constraint: U92(mark(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(active(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(X1,mark(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,active(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) constraint: U92(X1,X2,active(X3)) >= U92(X1,X2,X3) constraint: U91(mark(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(active(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(X1,mark(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,active(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) constraint: U91(X1,X2,active(X3)) >= U91(X1,X2,X3) constraint: U93(mark(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(active(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(X1,mark(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,active(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) constraint: U93(X1,X2,active(X3)) >= U93(X1,X2,X3) constraint: U94(mark(X1),X2) >= U94(X1,X2) constraint: U94(active(X1),X2) >= U94(X1,X2) constraint: U94(X1,mark(X2)) >= U94(X1,X2) constraint: U94(X1,active(X2)) >= U94(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) constraint: Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(U13(X)) >= Marked_active(U13(mark(X))) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U23(X)) >= Marked_active(U23(mark(X))) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U33(X)) >= Marked_active(U33(mark(X))) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(U46(X)) >= Marked_active(U46(mark(X))) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U61(X)) >= Marked_mark(X) constraint: Marked_mark(U61(X)) >= Marked_active(U61(mark(X))) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_active(U71(mark(X))) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U86(X)) >= Marked_active(U86(mark(X))) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) constraint: Marked_mark(U94(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) constraint: Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark( U51(isNatKind(V1), V2)) constraint: Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatIListKind(V1),V1)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81( isNatKind( V1), V1, V2)) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) constraint: Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind( V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind( V1), V1)) constraint: Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) constraint: Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) constraint: Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1), V1,V2)) constraint: Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) constraint: Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V1, V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V), V)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) constraint: Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1), V1,V2)) constraint: Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) constraint: Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) constraint: Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) constraint: Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L), L,N)) constraint: Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) constraint: Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L), L,N)) APPLY CRITERIA (Subterm criterion) ST: Marked_cons -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U11 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U12 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_isNatIListKind -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U13 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_isNatList -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U21 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U22 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_isNatKind -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U23 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_isNat -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U31 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U32 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U33 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U41 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_U42 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_U43 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_U44 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_U45 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U46 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_isNatIList -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U51 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U52 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U61 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U71 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U81 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_U82 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_U83 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_U84 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_U85 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U86 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U91 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_U92 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_U93 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_U94 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_s -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_length -> 1 APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> 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--> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U13(X)) >= active(U13(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U33(X)) >= active(U33(mark(X))) ; mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) ; mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) ; mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) ; mark(U46(X)) >= active(U46(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U61(X)) >= active(U61(mark(X))) ; mark(U71(X)) >= active(U71(mark(X))) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) ; mark(U86(X)) >= active(U86(mark(X))) ; mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) ; mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) ; mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) ; mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ; active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ; active(U13(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ; active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U32(tt,V)) >= mark(U33(isNatList(V))) ; active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ; active(U33(tt)) >= mark(tt) ; active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ; active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ; active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ; active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ; active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ; active(U46(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ; active(U61(tt)) >= mark(tt) ; active(U71(tt)) >= mark(tt) ; active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ; active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ; active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ; active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ; active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ; active(U86(tt)) >= mark(tt) ; active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ; active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ; active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ; active(U94(tt,L)) >= mark(s(length(L))) ; active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U12(mark(X1),X2) >= U12(X1,X2) ; U12(active(X1),X2) >= U12(X1,X2) ; U12(X1,mark(X2)) >= U12(X1,X2) ; U12(X1,active(X2)) >= U12(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U13(mark(X)) >= U13(X) ; U13(active(X)) >= U13(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U32(mark(X1),X2) >= U32(X1,X2) ; U32(active(X1),X2) >= U32(X1,X2) ; U32(X1,mark(X2)) >= U32(X1,X2) ; U32(X1,active(X2)) >= U32(X1,X2) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U33(mark(X)) >= U33(X) ; U33(active(X)) >= U33(X) ; U42(mark(X1),X2,X3) >= U42(X1,X2,X3) ; U42(active(X1),X2,X3) >= U42(X1,X2,X3) ; U42(X1,mark(X2),X3) >= U42(X1,X2,X3) ; U42(X1,active(X2),X3) >= U42(X1,X2,X3) ; U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) ; U42(X1,X2,active(X3)) >= U42(X1,X2,X3) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X1),X2,X3) >= U43(X1,X2,X3) ; U43(active(X1),X2,X3) >= U43(X1,X2,X3) ; U43(X1,mark(X2),X3) >= U43(X1,X2,X3) ; U43(X1,active(X2),X3) >= U43(X1,X2,X3) ; U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) ; U43(X1,X2,active(X3)) >= U43(X1,X2,X3) ; U44(mark(X1),X2,X3) >= U44(X1,X2,X3) ; U44(active(X1),X2,X3) >= U44(X1,X2,X3) ; U44(X1,mark(X2),X3) >= U44(X1,X2,X3) ; U44(X1,active(X2),X3) >= U44(X1,X2,X3) ; U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) ; U44(X1,X2,active(X3)) >= U44(X1,X2,X3) ; U45(mark(X1),X2) >= U45(X1,X2) ; U45(active(X1),X2) >= U45(X1,X2) ; U45(X1,mark(X2)) >= U45(X1,X2) ; U45(X1,active(X2)) >= U45(X1,X2) ; U46(mark(X)) >= U46(X) ; U46(active(X)) >= U46(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U61(mark(X)) >= U61(X) ; U61(active(X)) >= U61(X) ; U71(mark(X)) >= U71(X) ; U71(active(X)) >= U71(X) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; U85(mark(X1),X2) >= U85(X1,X2) ; U85(active(X1),X2) >= U85(X1,X2) ; U85(X1,mark(X2)) >= U85(X1,X2) ; U85(X1,active(X2)) >= U85(X1,X2) ; U86(mark(X)) >= U86(X) ; U86(active(X)) >= U86(X) ; U92(mark(X1),X2,X3) >= U92(X1,X2,X3) ; U92(active(X1),X2,X3) >= U92(X1,X2,X3) ; U92(X1,mark(X2),X3) >= U92(X1,X2,X3) ; U92(X1,active(X2),X3) >= U92(X1,X2,X3) ; U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) ; U92(X1,X2,active(X3)) >= U92(X1,X2,X3) ; U91(mark(X1),X2,X3) >= U91(X1,X2,X3) ; U91(active(X1),X2,X3) >= U91(X1,X2,X3) ; U91(X1,mark(X2),X3) >= U91(X1,X2,X3) ; U91(X1,active(X2),X3) >= U91(X1,X2,X3) ; U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) ; U91(X1,X2,active(X3)) >= U91(X1,X2,X3) ; U93(mark(X1),X2,X3) >= U93(X1,X2,X3) ; U93(active(X1),X2,X3) >= U93(X1,X2,X3) ; U93(X1,mark(X2),X3) >= U93(X1,X2,X3) ; U93(X1,active(X2),X3) >= U93(X1,X2,X3) ; U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) ; U93(X1,X2,active(X3)) >= U93(X1,X2,X3) ; U94(mark(X1),X2) >= U94(X1,X2) ; U94(active(X1),X2) >= U94(X1,X2) ; U94(X1,mark(X2)) >= U94(X1,X2) ; U94(X1,active(X2)) >= U94(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) ; Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(U13(X)) >= Marked_active(U13(mark(X))) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U23(X)) >= Marked_active(U23(mark(X))) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U33(X)) >= Marked_active(U33(mark(X))) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(U46(X)) >= Marked_active(U46(mark(X))) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U86(X)) >= Marked_active(U86(mark(X))) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) ; Marked_mark(U94(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) ; Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark(U51(isNatKind(V1), V2)) ; Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatIListKind(V1),V1)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81(isNatKind(V1),V1,V2)) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) ; Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind(V1),V1)) ; Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) ; Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) ; Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1),V1,V2)) ; Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) ; Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNatKind(V1), V1,V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V),V)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) ; Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1),V1,V2)) ; Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) ; Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) ; Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) ; Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L),L,N)) ; Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) ; Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_active(U12(mark(X1),X2)) ; } { Marked_mark(isNatIListKind(X)) > Marked_active(isNatIListKind(X)) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(U13(X)) > Marked_active(U13(mark(X))) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U23(X)) > Marked_active(U23(mark(X))) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_active(U32(mark(X1),X2)) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2)) > Marked_active(U31(mark(X1),X2)) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U33(X)) > Marked_active(U33(mark(X))) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_active(U42(mark(X1),X2,X3)) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_active(U43(mark(X1),X2,X3)) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_active(U44(mark(X1),X2,X3)) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_active(U45(mark(X1),X2)) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(U46(X)) > Marked_active(U46(mark(X))) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U52(X)) > Marked_active(U52(mark(X))) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_active(U85(mark(X1),X2)) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U86(X)) > Marked_active(U86(mark(X))) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_active(U92(mark(X1),X2,X3)) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_active(U91(mark(X1),X2,X3)) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_active(U93(mark(X1),X2,X3)) ; } { Marked_mark(U94(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2)) > Marked_active(U94(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(U12(tt,V1)) > Marked_mark(U13(isNatList(V1))) ; } { Marked_active(isNatIListKind(cons(V1,V2))) > Marked_mark(U51(isNatKind(V1), V2)) ; } { Marked_active(U11(tt,V1)) > Marked_mark(U12(isNatIListKind(V1),V1)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U81(isNatKind(V1),V1,V2)) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U71(isNatKind(V1))) ; } { Marked_active(isNatKind(length(V1))) > Marked_mark(U61(isNatIListKind(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatIListKind(V1),V1)) ; } { Marked_active(U32(tt,V)) > Marked_mark(U33(isNatList(V))) ; } { Marked_active(U31(tt,V)) > Marked_mark(U32(isNatIListKind(V),V)) ; } { Marked_active(U42(tt,V1,V2)) > Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U41(tt,V1,V2)) > Marked_mark(U42(isNatKind(V1),V1,V2)) ; } { Marked_active(U43(tt,V1,V2)) > Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U44(tt,V1,V2)) > Marked_mark(U45(isNat(V1),V2)) ; } { Marked_active(U45(tt,V2)) > Marked_mark(U46(isNatIList(V2))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNatKind(V1),V1,V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatIListKind(V),V)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatIListKind(V2))) ; } { Marked_active(U82(tt,V1,V2)) > Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U81(tt,V1,V2)) > Marked_mark(U82(isNatKind(V1),V1,V2)) ; } { Marked_active(U83(tt,V1,V2)) > Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U84(tt,V1,V2)) > Marked_mark(U85(isNat(V1),V2)) ; } { Marked_active(U85(tt,V2)) > Marked_mark(U86(isNatList(V2))) ; } { Marked_active(U92(tt,L,N)) > Marked_mark(U93(isNat(N),L,N)) ; } { Marked_active(U91(tt,L,N)) > Marked_mark(U92(isNatIListKind(L),L,N)) ; } { Marked_active(U93(tt,L,N)) > Marked_mark(U94(isNatKind(N),L)) ; } { Marked_active(U94(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U91(isNatList(L),L,N)) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U13(X)) >= active(U13(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U33(X)) >= active(U33(mark(X))) constraint: mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) constraint: mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) constraint: mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) constraint: mark(U46(X)) >= active(U46(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U61(X)) >= active(U61(mark(X))) constraint: mark(U71(X)) >= active(U71(mark(X))) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) constraint: mark(U86(X)) >= active(U86(mark(X))) constraint: mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) constraint: mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) constraint: mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) constraint: mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt,V1)) >= mark(U13(isNatList(V1))) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) constraint: active(U13(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) constraint: active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U32(tt,V)) >= mark(U33(isNatList(V))) constraint: active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) constraint: active(U33(tt)) >= mark(tt) constraint: active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) constraint: active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) constraint: active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) constraint: active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) constraint: active(U46(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) constraint: active(U61(tt)) >= mark(tt) constraint: active(U71(tt)) >= mark(tt) constraint: active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) constraint: active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) constraint: active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) constraint: active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) constraint: active(U85(tt,V2)) >= mark(U86(isNatList(V2))) constraint: active(U86(tt)) >= mark(tt) constraint: active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) constraint: active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) constraint: active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) constraint: active(U94(tt,L)) >= mark(s(length(L))) constraint: active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U12(mark(X1),X2) >= U12(X1,X2) constraint: U12(active(X1),X2) >= U12(X1,X2) constraint: U12(X1,mark(X2)) >= U12(X1,X2) constraint: U12(X1,active(X2)) >= U12(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U13(mark(X)) >= U13(X) constraint: U13(active(X)) >= U13(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U32(mark(X1),X2) >= U32(X1,X2) constraint: U32(active(X1),X2) >= U32(X1,X2) constraint: U32(X1,mark(X2)) >= U32(X1,X2) constraint: U32(X1,active(X2)) >= U32(X1,X2) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U33(mark(X)) >= U33(X) constraint: U33(active(X)) >= U33(X) constraint: U42(mark(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(active(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(X1,mark(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,active(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) constraint: U42(X1,X2,active(X3)) >= U42(X1,X2,X3) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(active(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(X1,mark(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,active(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) constraint: U43(X1,X2,active(X3)) >= U43(X1,X2,X3) constraint: U44(mark(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(active(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(X1,mark(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,active(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) constraint: U44(X1,X2,active(X3)) >= U44(X1,X2,X3) constraint: U45(mark(X1),X2) >= U45(X1,X2) constraint: U45(active(X1),X2) >= U45(X1,X2) constraint: U45(X1,mark(X2)) >= U45(X1,X2) constraint: U45(X1,active(X2)) >= U45(X1,X2) constraint: U46(mark(X)) >= U46(X) constraint: U46(active(X)) >= U46(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U61(mark(X)) >= U61(X) constraint: U61(active(X)) >= U61(X) constraint: U71(mark(X)) >= U71(X) constraint: U71(active(X)) >= U71(X) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: U85(mark(X1),X2) >= U85(X1,X2) constraint: U85(active(X1),X2) >= U85(X1,X2) constraint: U85(X1,mark(X2)) >= U85(X1,X2) constraint: U85(X1,active(X2)) >= U85(X1,X2) constraint: U86(mark(X)) >= U86(X) constraint: U86(active(X)) >= U86(X) constraint: U92(mark(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(active(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(X1,mark(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,active(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) constraint: U92(X1,X2,active(X3)) >= U92(X1,X2,X3) constraint: U91(mark(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(active(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(X1,mark(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,active(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) constraint: U91(X1,X2,active(X3)) >= U91(X1,X2,X3) constraint: U93(mark(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(active(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(X1,mark(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,active(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) constraint: U93(X1,X2,active(X3)) >= U93(X1,X2,X3) constraint: U94(mark(X1),X2) >= U94(X1,X2) constraint: U94(active(X1),X2) >= U94(X1,X2) constraint: U94(X1,mark(X2)) >= U94(X1,X2) constraint: U94(X1,active(X2)) >= U94(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) constraint: Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(U13(X)) >= Marked_active(U13(mark(X))) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U23(X)) >= Marked_active(U23(mark(X))) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U33(X)) >= Marked_active(U33(mark(X))) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(U46(X)) >= Marked_active(U46(mark(X))) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U61(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U86(X)) >= Marked_active(U86(mark(X))) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) constraint: Marked_mark(U94(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) constraint: Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark( U51(isNatKind(V1), V2)) constraint: Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatIListKind(V1),V1)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81( isNatKind( V1), V1, V2)) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) constraint: Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind( V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind( V1), V1)) constraint: Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) constraint: Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) constraint: Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1), V1,V2)) constraint: Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) constraint: Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V1, V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V), V)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) constraint: Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1), V1,V2)) constraint: Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) constraint: Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) constraint: Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) constraint: Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L), L,N)) constraint: Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) constraint: Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U13(X)) >= active(U13(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U33(X)) >= active(U33(mark(X))) ; mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) ; mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) ; mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) ; mark(U46(X)) >= active(U46(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U61(X)) >= active(U61(mark(X))) ; mark(U71(X)) >= active(U71(mark(X))) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) ; mark(U86(X)) >= active(U86(mark(X))) ; mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) ; mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) ; mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) ; mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ; active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ; active(U13(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ; active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U32(tt,V)) >= mark(U33(isNatList(V))) ; active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ; active(U33(tt)) >= mark(tt) ; active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ; active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ; active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ; active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ; active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ; active(U46(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ; active(U61(tt)) >= mark(tt) ; active(U71(tt)) >= mark(tt) ; active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ; active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ; active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ; active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ; active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ; active(U86(tt)) >= mark(tt) ; active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ; active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ; active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ; active(U94(tt,L)) >= mark(s(length(L))) ; active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U12(mark(X1),X2) >= U12(X1,X2) ; U12(active(X1),X2) >= U12(X1,X2) ; U12(X1,mark(X2)) >= U12(X1,X2) ; U12(X1,active(X2)) >= U12(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U13(mark(X)) >= U13(X) ; U13(active(X)) >= U13(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U32(mark(X1),X2) >= U32(X1,X2) ; U32(active(X1),X2) >= U32(X1,X2) ; U32(X1,mark(X2)) >= U32(X1,X2) ; U32(X1,active(X2)) >= U32(X1,X2) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U33(mark(X)) >= U33(X) ; U33(active(X)) >= U33(X) ; U42(mark(X1),X2,X3) >= U42(X1,X2,X3) ; U42(active(X1),X2,X3) >= U42(X1,X2,X3) ; U42(X1,mark(X2),X3) >= U42(X1,X2,X3) ; U42(X1,active(X2),X3) >= U42(X1,X2,X3) ; U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) ; U42(X1,X2,active(X3)) >= U42(X1,X2,X3) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X1),X2,X3) >= U43(X1,X2,X3) ; U43(active(X1),X2,X3) >= U43(X1,X2,X3) ; U43(X1,mark(X2),X3) >= U43(X1,X2,X3) ; U43(X1,active(X2),X3) >= U43(X1,X2,X3) ; U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) ; U43(X1,X2,active(X3)) >= U43(X1,X2,X3) ; U44(mark(X1),X2,X3) >= U44(X1,X2,X3) ; U44(active(X1),X2,X3) >= U44(X1,X2,X3) ; U44(X1,mark(X2),X3) >= U44(X1,X2,X3) ; U44(X1,active(X2),X3) >= U44(X1,X2,X3) ; U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) ; U44(X1,X2,active(X3)) >= U44(X1,X2,X3) ; U45(mark(X1),X2) >= U45(X1,X2) ; U45(active(X1),X2) >= U45(X1,X2) ; U45(X1,mark(X2)) >= U45(X1,X2) ; U45(X1,active(X2)) >= U45(X1,X2) ; U46(mark(X)) >= U46(X) ; U46(active(X)) >= U46(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U61(mark(X)) >= U61(X) ; U61(active(X)) >= U61(X) ; U71(mark(X)) >= U71(X) ; U71(active(X)) >= U71(X) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; U85(mark(X1),X2) >= U85(X1,X2) ; U85(active(X1),X2) >= U85(X1,X2) ; U85(X1,mark(X2)) >= U85(X1,X2) ; U85(X1,active(X2)) >= U85(X1,X2) ; U86(mark(X)) >= U86(X) ; U86(active(X)) >= U86(X) ; U92(mark(X1),X2,X3) >= U92(X1,X2,X3) ; U92(active(X1),X2,X3) >= U92(X1,X2,X3) ; U92(X1,mark(X2),X3) >= U92(X1,X2,X3) ; U92(X1,active(X2),X3) >= U92(X1,X2,X3) ; U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) ; U92(X1,X2,active(X3)) >= U92(X1,X2,X3) ; U91(mark(X1),X2,X3) >= U91(X1,X2,X3) ; U91(active(X1),X2,X3) >= U91(X1,X2,X3) ; U91(X1,mark(X2),X3) >= U91(X1,X2,X3) ; U91(X1,active(X2),X3) >= U91(X1,X2,X3) ; U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) ; U91(X1,X2,active(X3)) >= U91(X1,X2,X3) ; U93(mark(X1),X2,X3) >= U93(X1,X2,X3) ; U93(active(X1),X2,X3) >= U93(X1,X2,X3) ; U93(X1,mark(X2),X3) >= U93(X1,X2,X3) ; U93(X1,active(X2),X3) >= U93(X1,X2,X3) ; U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) ; U93(X1,X2,active(X3)) >= U93(X1,X2,X3) ; U94(mark(X1),X2) >= U94(X1,X2) ; U94(active(X1),X2) >= U94(X1,X2) ; U94(X1,mark(X2)) >= U94(X1,X2) ; U94(X1,active(X2)) >= U94(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) ; Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(U13(X)) >= Marked_active(U13(mark(X))) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U23(X)) >= Marked_active(U23(mark(X))) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(U46(X)) >= Marked_active(U46(mark(X))) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) ; Marked_mark(U94(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) ; Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark(U51(isNatKind(V1), V2)) ; Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatIListKind(V1),V1)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81(isNatKind(V1),V1,V2)) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) ; Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind(V1),V1)) ; Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) ; Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) ; Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1),V1,V2)) ; Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) ; Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNatKind(V1), V1,V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V),V)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) ; Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1),V1,V2)) ; Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) ; Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) ; Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) ; Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L),L,N)) ; Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) ; Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_active(U12(mark(X1),X2)) ; } { Marked_mark(isNatIListKind(X)) > Marked_active(isNatIListKind(X)) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(U13(X)) > Marked_active(U13(mark(X))) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U23(X)) > Marked_active(U23(mark(X))) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_active(U32(mark(X1),X2)) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2)) > Marked_active(U31(mark(X1),X2)) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_active(U42(mark(X1),X2,X3)) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_active(U43(mark(X1),X2,X3)) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_active(U44(mark(X1),X2,X3)) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_active(U45(mark(X1),X2)) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(U46(X)) > Marked_active(U46(mark(X))) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U52(X)) > Marked_active(U52(mark(X))) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_active(U85(mark(X1),X2)) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_active(U92(mark(X1),X2,X3)) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_active(U91(mark(X1),X2,X3)) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_active(U93(mark(X1),X2,X3)) ; } { Marked_mark(U94(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2)) > Marked_active(U94(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(U12(tt,V1)) > Marked_mark(U13(isNatList(V1))) ; } { Marked_active(isNatIListKind(cons(V1,V2))) > Marked_mark(U51(isNatKind(V1), V2)) ; } { Marked_active(U11(tt,V1)) > Marked_mark(U12(isNatIListKind(V1),V1)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U81(isNatKind(V1),V1,V2)) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U71(isNatKind(V1))) ; } { Marked_active(isNatKind(length(V1))) > Marked_mark(U61(isNatIListKind(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatIListKind(V1),V1)) ; } { Marked_active(U32(tt,V)) > Marked_mark(U33(isNatList(V))) ; } { Marked_active(U31(tt,V)) > Marked_mark(U32(isNatIListKind(V),V)) ; } { Marked_active(U42(tt,V1,V2)) > Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U41(tt,V1,V2)) > Marked_mark(U42(isNatKind(V1),V1,V2)) ; } { Marked_active(U43(tt,V1,V2)) > Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U44(tt,V1,V2)) > Marked_mark(U45(isNat(V1),V2)) ; } { Marked_active(U45(tt,V2)) > Marked_mark(U46(isNatIList(V2))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNatKind(V1),V1,V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatIListKind(V),V)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatIListKind(V2))) ; } { Marked_active(U82(tt,V1,V2)) > Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U81(tt,V1,V2)) > Marked_mark(U82(isNatKind(V1),V1,V2)) ; } { Marked_active(U83(tt,V1,V2)) > Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U84(tt,V1,V2)) > Marked_mark(U85(isNat(V1),V2)) ; } { Marked_active(U85(tt,V2)) > Marked_mark(U86(isNatList(V2))) ; } { Marked_active(U92(tt,L,N)) > Marked_mark(U93(isNat(N),L,N)) ; } { Marked_active(U91(tt,L,N)) > Marked_mark(U92(isNatIListKind(L),L,N)) ; } { Marked_active(U93(tt,L,N)) > Marked_mark(U94(isNatKind(N),L)) ; } { Marked_active(U94(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U91(isNatList(L),L,N)) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U13(X)) >= active(U13(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U33(X)) >= active(U33(mark(X))) constraint: mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) constraint: mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) constraint: mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) constraint: mark(U46(X)) >= active(U46(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U61(X)) >= active(U61(mark(X))) constraint: mark(U71(X)) >= active(U71(mark(X))) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) constraint: mark(U86(X)) >= active(U86(mark(X))) constraint: mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) constraint: mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) constraint: mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) constraint: mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt,V1)) >= mark(U13(isNatList(V1))) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) constraint: active(U13(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) constraint: active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U32(tt,V)) >= mark(U33(isNatList(V))) constraint: active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) constraint: active(U33(tt)) >= mark(tt) constraint: active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) constraint: active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) constraint: active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) constraint: active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) constraint: active(U46(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) constraint: active(U61(tt)) >= mark(tt) constraint: active(U71(tt)) >= mark(tt) constraint: active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) constraint: active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) constraint: active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) constraint: active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) constraint: active(U85(tt,V2)) >= mark(U86(isNatList(V2))) constraint: active(U86(tt)) >= mark(tt) constraint: active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) constraint: active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) constraint: active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) constraint: active(U94(tt,L)) >= mark(s(length(L))) constraint: active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U12(mark(X1),X2) >= U12(X1,X2) constraint: U12(active(X1),X2) >= U12(X1,X2) constraint: U12(X1,mark(X2)) >= U12(X1,X2) constraint: U12(X1,active(X2)) >= U12(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U13(mark(X)) >= U13(X) constraint: U13(active(X)) >= U13(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U32(mark(X1),X2) >= U32(X1,X2) constraint: U32(active(X1),X2) >= U32(X1,X2) constraint: U32(X1,mark(X2)) >= U32(X1,X2) constraint: U32(X1,active(X2)) >= U32(X1,X2) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U33(mark(X)) >= U33(X) constraint: U33(active(X)) >= U33(X) constraint: U42(mark(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(active(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(X1,mark(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,active(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) constraint: U42(X1,X2,active(X3)) >= U42(X1,X2,X3) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(active(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(X1,mark(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,active(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) constraint: U43(X1,X2,active(X3)) >= U43(X1,X2,X3) constraint: U44(mark(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(active(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(X1,mark(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,active(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) constraint: U44(X1,X2,active(X3)) >= U44(X1,X2,X3) constraint: U45(mark(X1),X2) >= U45(X1,X2) constraint: U45(active(X1),X2) >= U45(X1,X2) constraint: U45(X1,mark(X2)) >= U45(X1,X2) constraint: U45(X1,active(X2)) >= U45(X1,X2) constraint: U46(mark(X)) >= U46(X) constraint: U46(active(X)) >= U46(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U61(mark(X)) >= U61(X) constraint: U61(active(X)) >= U61(X) constraint: U71(mark(X)) >= U71(X) constraint: U71(active(X)) >= U71(X) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: U85(mark(X1),X2) >= U85(X1,X2) constraint: U85(active(X1),X2) >= U85(X1,X2) constraint: U85(X1,mark(X2)) >= U85(X1,X2) constraint: U85(X1,active(X2)) >= U85(X1,X2) constraint: U86(mark(X)) >= U86(X) constraint: U86(active(X)) >= U86(X) constraint: U92(mark(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(active(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(X1,mark(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,active(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) constraint: U92(X1,X2,active(X3)) >= U92(X1,X2,X3) constraint: U91(mark(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(active(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(X1,mark(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,active(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) constraint: U91(X1,X2,active(X3)) >= U91(X1,X2,X3) constraint: U93(mark(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(active(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(X1,mark(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,active(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) constraint: U93(X1,X2,active(X3)) >= U93(X1,X2,X3) constraint: U94(mark(X1),X2) >= U94(X1,X2) constraint: U94(active(X1),X2) >= U94(X1,X2) constraint: U94(X1,mark(X2)) >= U94(X1,X2) constraint: U94(X1,active(X2)) >= U94(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) constraint: Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(U13(X)) >= Marked_active(U13(mark(X))) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U23(X)) >= Marked_active(U23(mark(X))) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(U46(X)) >= Marked_active(U46(mark(X))) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U61(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) constraint: Marked_mark(U94(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) constraint: Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark( U51(isNatKind(V1), V2)) constraint: Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatIListKind(V1),V1)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81( isNatKind( V1), V1, V2)) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) constraint: Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind( V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind( V1), V1)) constraint: Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) constraint: Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) constraint: Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1), V1,V2)) constraint: Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) constraint: Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V1, V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V), V)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) constraint: Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1), V1,V2)) constraint: Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) constraint: Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) constraint: Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) constraint: Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L), L,N)) constraint: Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) constraint: Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> 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--> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U13(X)) >= active(U13(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U33(X)) >= active(U33(mark(X))) ; mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) ; mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) ; mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) ; mark(U46(X)) >= active(U46(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U61(X)) >= active(U61(mark(X))) ; mark(U71(X)) >= active(U71(mark(X))) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) ; mark(U86(X)) >= active(U86(mark(X))) ; mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) ; mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) ; mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) ; mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ; active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ; active(U13(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ; active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U32(tt,V)) >= mark(U33(isNatList(V))) ; active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ; active(U33(tt)) >= mark(tt) ; active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ; active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ; active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ; active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ; active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ; active(U46(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ; active(U61(tt)) >= mark(tt) ; active(U71(tt)) >= mark(tt) ; active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ; active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ; active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ; active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ; active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ; active(U86(tt)) >= mark(tt) ; active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ; active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ; active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ; active(U94(tt,L)) >= mark(s(length(L))) ; active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U12(mark(X1),X2) >= U12(X1,X2) ; U12(active(X1),X2) >= U12(X1,X2) ; U12(X1,mark(X2)) >= U12(X1,X2) ; U12(X1,active(X2)) >= U12(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U13(mark(X)) >= U13(X) ; U13(active(X)) >= U13(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U32(mark(X1),X2) >= U32(X1,X2) ; U32(active(X1),X2) >= U32(X1,X2) ; U32(X1,mark(X2)) >= U32(X1,X2) ; U32(X1,active(X2)) >= U32(X1,X2) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U33(mark(X)) >= U33(X) ; U33(active(X)) >= U33(X) ; U42(mark(X1),X2,X3) >= U42(X1,X2,X3) ; U42(active(X1),X2,X3) >= U42(X1,X2,X3) ; U42(X1,mark(X2),X3) >= U42(X1,X2,X3) ; U42(X1,active(X2),X3) >= U42(X1,X2,X3) ; U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) ; U42(X1,X2,active(X3)) >= U42(X1,X2,X3) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X1),X2,X3) >= U43(X1,X2,X3) ; U43(active(X1),X2,X3) >= U43(X1,X2,X3) ; U43(X1,mark(X2),X3) >= U43(X1,X2,X3) ; U43(X1,active(X2),X3) >= U43(X1,X2,X3) ; U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) ; U43(X1,X2,active(X3)) >= U43(X1,X2,X3) ; U44(mark(X1),X2,X3) >= U44(X1,X2,X3) ; U44(active(X1),X2,X3) >= U44(X1,X2,X3) ; U44(X1,mark(X2),X3) >= U44(X1,X2,X3) ; U44(X1,active(X2),X3) >= U44(X1,X2,X3) ; U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) ; U44(X1,X2,active(X3)) >= U44(X1,X2,X3) ; U45(mark(X1),X2) >= U45(X1,X2) ; U45(active(X1),X2) >= U45(X1,X2) ; U45(X1,mark(X2)) >= U45(X1,X2) ; U45(X1,active(X2)) >= U45(X1,X2) ; U46(mark(X)) >= U46(X) ; U46(active(X)) >= U46(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U61(mark(X)) >= U61(X) ; U61(active(X)) >= U61(X) ; U71(mark(X)) >= U71(X) ; U71(active(X)) >= U71(X) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; U85(mark(X1),X2) >= U85(X1,X2) ; U85(active(X1),X2) >= U85(X1,X2) ; U85(X1,mark(X2)) >= U85(X1,X2) ; U85(X1,active(X2)) >= U85(X1,X2) ; U86(mark(X)) >= U86(X) ; U86(active(X)) >= U86(X) ; U92(mark(X1),X2,X3) >= U92(X1,X2,X3) ; U92(active(X1),X2,X3) >= U92(X1,X2,X3) ; U92(X1,mark(X2),X3) >= U92(X1,X2,X3) ; U92(X1,active(X2),X3) >= U92(X1,X2,X3) ; U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) ; U92(X1,X2,active(X3)) >= U92(X1,X2,X3) ; U91(mark(X1),X2,X3) >= U91(X1,X2,X3) ; U91(active(X1),X2,X3) >= U91(X1,X2,X3) ; U91(X1,mark(X2),X3) >= U91(X1,X2,X3) ; U91(X1,active(X2),X3) >= U91(X1,X2,X3) ; U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) ; U91(X1,X2,active(X3)) >= U91(X1,X2,X3) ; U93(mark(X1),X2,X3) >= U93(X1,X2,X3) ; U93(active(X1),X2,X3) >= U93(X1,X2,X3) ; U93(X1,mark(X2),X3) >= U93(X1,X2,X3) ; U93(X1,active(X2),X3) >= U93(X1,X2,X3) ; U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) ; U93(X1,X2,active(X3)) >= U93(X1,X2,X3) ; U94(mark(X1),X2) >= U94(X1,X2) ; U94(active(X1),X2) >= U94(X1,X2) ; U94(X1,mark(X2)) >= U94(X1,X2) ; U94(X1,active(X2)) >= U94(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) ; Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U23(X)) >= Marked_active(U23(mark(X))) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(U46(X)) >= Marked_active(U46(mark(X))) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) ; Marked_mark(U94(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) ; Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark(U51(isNatKind(V1), V2)) ; Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatIListKind(V1),V1)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81(isNatKind(V1),V1,V2)) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) ; Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind(V1),V1)) ; Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) ; Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) ; Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1),V1,V2)) ; Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) ; Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNatKind(V1), V1,V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V),V)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) ; Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1),V1,V2)) ; Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) ; Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) ; Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) ; Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L),L,N)) ; Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) ; Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_active(U12(mark(X1),X2)) ; } { Marked_mark(isNatIListKind(X)) > Marked_active(isNatIListKind(X)) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U23(X)) > Marked_active(U23(mark(X))) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_active(U32(mark(X1),X2)) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2)) > Marked_active(U31(mark(X1),X2)) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_active(U42(mark(X1),X2,X3)) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_active(U43(mark(X1),X2,X3)) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_active(U44(mark(X1),X2,X3)) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_active(U45(mark(X1),X2)) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(U46(X)) > Marked_active(U46(mark(X))) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U52(X)) > Marked_active(U52(mark(X))) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_active(U85(mark(X1),X2)) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_active(U92(mark(X1),X2,X3)) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_active(U91(mark(X1),X2,X3)) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_active(U93(mark(X1),X2,X3)) ; } { Marked_mark(U94(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2)) > Marked_active(U94(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(U12(tt,V1)) > Marked_mark(U13(isNatList(V1))) ; } { Marked_active(isNatIListKind(cons(V1,V2))) > Marked_mark(U51(isNatKind(V1), V2)) ; } { Marked_active(U11(tt,V1)) > Marked_mark(U12(isNatIListKind(V1),V1)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U81(isNatKind(V1),V1,V2)) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U71(isNatKind(V1))) ; } { Marked_active(isNatKind(length(V1))) > Marked_mark(U61(isNatIListKind(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatIListKind(V1),V1)) ; } { Marked_active(U32(tt,V)) > Marked_mark(U33(isNatList(V))) ; } { Marked_active(U31(tt,V)) > Marked_mark(U32(isNatIListKind(V),V)) ; } { Marked_active(U42(tt,V1,V2)) > Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U41(tt,V1,V2)) > Marked_mark(U42(isNatKind(V1),V1,V2)) ; } { Marked_active(U43(tt,V1,V2)) > Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U44(tt,V1,V2)) > Marked_mark(U45(isNat(V1),V2)) ; } { Marked_active(U45(tt,V2)) > Marked_mark(U46(isNatIList(V2))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNatKind(V1),V1,V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatIListKind(V),V)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatIListKind(V2))) ; } { Marked_active(U82(tt,V1,V2)) > Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U81(tt,V1,V2)) > Marked_mark(U82(isNatKind(V1),V1,V2)) ; } { Marked_active(U83(tt,V1,V2)) > Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U84(tt,V1,V2)) > Marked_mark(U85(isNat(V1),V2)) ; } { Marked_active(U85(tt,V2)) > Marked_mark(U86(isNatList(V2))) ; } { Marked_active(U92(tt,L,N)) > Marked_mark(U93(isNat(N),L,N)) ; } { Marked_active(U91(tt,L,N)) > Marked_mark(U92(isNatIListKind(L),L,N)) ; } { Marked_active(U93(tt,L,N)) > Marked_mark(U94(isNatKind(N),L)) ; } { Marked_active(U94(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U91(isNatList(L),L,N)) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U13(X)) >= active(U13(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U33(X)) >= active(U33(mark(X))) constraint: mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) constraint: mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) constraint: mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) constraint: mark(U46(X)) >= active(U46(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U61(X)) >= active(U61(mark(X))) constraint: mark(U71(X)) >= active(U71(mark(X))) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) constraint: mark(U86(X)) >= active(U86(mark(X))) constraint: mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) constraint: mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) constraint: mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) constraint: mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt,V1)) >= mark(U13(isNatList(V1))) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) constraint: active(U13(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) constraint: active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U32(tt,V)) >= mark(U33(isNatList(V))) constraint: active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) constraint: active(U33(tt)) >= mark(tt) constraint: active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) constraint: active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) constraint: active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) constraint: active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) constraint: active(U46(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) constraint: active(U61(tt)) >= mark(tt) constraint: active(U71(tt)) >= mark(tt) constraint: active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) constraint: active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) constraint: active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) constraint: active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) constraint: active(U85(tt,V2)) >= mark(U86(isNatList(V2))) constraint: active(U86(tt)) >= mark(tt) constraint: active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) constraint: active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) constraint: active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) constraint: active(U94(tt,L)) >= mark(s(length(L))) constraint: active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U12(mark(X1),X2) >= U12(X1,X2) constraint: U12(active(X1),X2) >= U12(X1,X2) constraint: U12(X1,mark(X2)) >= U12(X1,X2) constraint: U12(X1,active(X2)) >= U12(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U13(mark(X)) >= U13(X) constraint: U13(active(X)) >= U13(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U32(mark(X1),X2) >= U32(X1,X2) constraint: U32(active(X1),X2) >= U32(X1,X2) constraint: U32(X1,mark(X2)) >= U32(X1,X2) constraint: U32(X1,active(X2)) >= U32(X1,X2) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U33(mark(X)) >= U33(X) constraint: U33(active(X)) >= U33(X) constraint: U42(mark(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(active(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(X1,mark(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,active(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) constraint: U42(X1,X2,active(X3)) >= U42(X1,X2,X3) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(active(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(X1,mark(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,active(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) constraint: U43(X1,X2,active(X3)) >= U43(X1,X2,X3) constraint: U44(mark(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(active(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(X1,mark(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,active(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) constraint: U44(X1,X2,active(X3)) >= U44(X1,X2,X3) constraint: U45(mark(X1),X2) >= U45(X1,X2) constraint: U45(active(X1),X2) >= U45(X1,X2) constraint: U45(X1,mark(X2)) >= U45(X1,X2) constraint: U45(X1,active(X2)) >= U45(X1,X2) constraint: U46(mark(X)) >= U46(X) constraint: U46(active(X)) >= U46(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U61(mark(X)) >= U61(X) constraint: U61(active(X)) >= U61(X) constraint: U71(mark(X)) >= U71(X) constraint: U71(active(X)) >= U71(X) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: U85(mark(X1),X2) >= U85(X1,X2) constraint: U85(active(X1),X2) >= U85(X1,X2) constraint: U85(X1,mark(X2)) >= U85(X1,X2) constraint: U85(X1,active(X2)) >= U85(X1,X2) constraint: U86(mark(X)) >= U86(X) constraint: U86(active(X)) >= U86(X) constraint: U92(mark(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(active(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(X1,mark(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,active(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) constraint: U92(X1,X2,active(X3)) >= U92(X1,X2,X3) constraint: U91(mark(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(active(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(X1,mark(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,active(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) constraint: U91(X1,X2,active(X3)) >= U91(X1,X2,X3) constraint: U93(mark(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(active(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(X1,mark(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,active(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) constraint: U93(X1,X2,active(X3)) >= U93(X1,X2,X3) constraint: U94(mark(X1),X2) >= U94(X1,X2) constraint: U94(active(X1),X2) >= U94(X1,X2) constraint: U94(X1,mark(X2)) >= U94(X1,X2) constraint: U94(X1,active(X2)) >= U94(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) constraint: Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U23(X)) >= Marked_active(U23(mark(X))) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(U46(X)) >= Marked_active(U46(mark(X))) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U61(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) constraint: Marked_mark(U94(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) constraint: Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark( U51(isNatKind(V1), V2)) constraint: Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatIListKind(V1),V1)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81( isNatKind( V1), V1, V2)) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) constraint: Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind( V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind( V1), V1)) constraint: Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) constraint: Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) constraint: Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1), V1,V2)) constraint: Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) constraint: Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V1, V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V), V)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) constraint: Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1), V1,V2)) constraint: Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) constraint: Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) constraint: Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) constraint: Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L), L,N)) constraint: Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) constraint: Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U13(X)) >= active(U13(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U33(X)) >= active(U33(mark(X))) ; mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) ; mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) ; mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) ; mark(U46(X)) >= active(U46(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U61(X)) >= active(U61(mark(X))) ; mark(U71(X)) >= active(U71(mark(X))) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) ; mark(U86(X)) >= active(U86(mark(X))) ; mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) ; mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) ; mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) ; mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ; active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ; active(U13(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ; active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U32(tt,V)) >= mark(U33(isNatList(V))) ; active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ; active(U33(tt)) >= mark(tt) ; active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ; active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ; active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ; active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ; active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ; active(U46(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ; active(U61(tt)) >= mark(tt) ; active(U71(tt)) >= mark(tt) ; active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ; active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ; active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ; active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ; active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ; active(U86(tt)) >= mark(tt) ; active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ; active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ; active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ; active(U94(tt,L)) >= mark(s(length(L))) ; active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U12(mark(X1),X2) >= U12(X1,X2) ; U12(active(X1),X2) >= U12(X1,X2) ; U12(X1,mark(X2)) >= U12(X1,X2) ; U12(X1,active(X2)) >= U12(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U13(mark(X)) >= U13(X) ; U13(active(X)) >= U13(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U32(mark(X1),X2) >= U32(X1,X2) ; U32(active(X1),X2) >= U32(X1,X2) ; U32(X1,mark(X2)) >= U32(X1,X2) ; U32(X1,active(X2)) >= U32(X1,X2) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U33(mark(X)) >= U33(X) ; U33(active(X)) >= U33(X) ; U42(mark(X1),X2,X3) >= U42(X1,X2,X3) ; U42(active(X1),X2,X3) >= U42(X1,X2,X3) ; U42(X1,mark(X2),X3) >= U42(X1,X2,X3) ; U42(X1,active(X2),X3) >= U42(X1,X2,X3) ; U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) ; U42(X1,X2,active(X3)) >= U42(X1,X2,X3) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X1),X2,X3) >= U43(X1,X2,X3) ; U43(active(X1),X2,X3) >= U43(X1,X2,X3) ; U43(X1,mark(X2),X3) >= U43(X1,X2,X3) ; U43(X1,active(X2),X3) >= U43(X1,X2,X3) ; U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) ; U43(X1,X2,active(X3)) >= U43(X1,X2,X3) ; U44(mark(X1),X2,X3) >= U44(X1,X2,X3) ; U44(active(X1),X2,X3) >= U44(X1,X2,X3) ; U44(X1,mark(X2),X3) >= U44(X1,X2,X3) ; U44(X1,active(X2),X3) >= U44(X1,X2,X3) ; U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) ; U44(X1,X2,active(X3)) >= U44(X1,X2,X3) ; U45(mark(X1),X2) >= U45(X1,X2) ; U45(active(X1),X2) >= U45(X1,X2) ; U45(X1,mark(X2)) >= U45(X1,X2) ; U45(X1,active(X2)) >= U45(X1,X2) ; U46(mark(X)) >= U46(X) ; U46(active(X)) >= U46(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U61(mark(X)) >= U61(X) ; U61(active(X)) >= U61(X) ; U71(mark(X)) >= U71(X) ; U71(active(X)) >= U71(X) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; U85(mark(X1),X2) >= U85(X1,X2) ; U85(active(X1),X2) >= U85(X1,X2) ; U85(X1,mark(X2)) >= U85(X1,X2) ; U85(X1,active(X2)) >= U85(X1,X2) ; U86(mark(X)) >= U86(X) ; U86(active(X)) >= U86(X) ; U92(mark(X1),X2,X3) >= U92(X1,X2,X3) ; U92(active(X1),X2,X3) >= U92(X1,X2,X3) ; U92(X1,mark(X2),X3) >= U92(X1,X2,X3) ; U92(X1,active(X2),X3) >= U92(X1,X2,X3) ; U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) ; U92(X1,X2,active(X3)) >= U92(X1,X2,X3) ; U91(mark(X1),X2,X3) >= U91(X1,X2,X3) ; U91(active(X1),X2,X3) >= U91(X1,X2,X3) ; U91(X1,mark(X2),X3) >= U91(X1,X2,X3) ; U91(X1,active(X2),X3) >= U91(X1,X2,X3) ; U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) ; U91(X1,X2,active(X3)) >= U91(X1,X2,X3) ; U93(mark(X1),X2,X3) >= U93(X1,X2,X3) ; U93(active(X1),X2,X3) >= U93(X1,X2,X3) ; U93(X1,mark(X2),X3) >= U93(X1,X2,X3) ; U93(X1,active(X2),X3) >= U93(X1,X2,X3) ; U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) ; U93(X1,X2,active(X3)) >= U93(X1,X2,X3) ; U94(mark(X1),X2) >= U94(X1,X2) ; U94(active(X1),X2) >= U94(X1,X2) ; U94(X1,mark(X2)) >= U94(X1,X2) ; U94(X1,active(X2)) >= U94(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) ; Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) ; Marked_mark(U94(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) ; Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark(U51(isNatKind(V1), V2)) ; Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatIListKind(V1),V1)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81(isNatKind(V1),V1,V2)) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) ; Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind(V1),V1)) ; Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) ; Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) ; Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1),V1,V2)) ; Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) ; Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNatKind(V1), V1,V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V),V)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) ; Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1),V1,V2)) ; Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) ; Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) ; Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) ; Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L),L,N)) ; Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) ; Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_active(U12(mark(X1),X2)) ; } { Marked_mark(isNatIListKind(X)) > Marked_active(isNatIListKind(X)) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_active(U32(mark(X1),X2)) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2)) > Marked_active(U31(mark(X1),X2)) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_active(U42(mark(X1),X2,X3)) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_active(U43(mark(X1),X2,X3)) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_active(U44(mark(X1),X2,X3)) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_active(U45(mark(X1),X2)) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_active(U85(mark(X1),X2)) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_active(U92(mark(X1),X2,X3)) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_active(U91(mark(X1),X2,X3)) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_active(U93(mark(X1),X2,X3)) ; } { Marked_mark(U94(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2)) > Marked_active(U94(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(U12(tt,V1)) > Marked_mark(U13(isNatList(V1))) ; } { Marked_active(isNatIListKind(cons(V1,V2))) > Marked_mark(U51(isNatKind(V1), V2)) ; } { Marked_active(U11(tt,V1)) > Marked_mark(U12(isNatIListKind(V1),V1)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U81(isNatKind(V1),V1,V2)) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U71(isNatKind(V1))) ; } { Marked_active(isNatKind(length(V1))) > Marked_mark(U61(isNatIListKind(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatIListKind(V1),V1)) ; } { Marked_active(U32(tt,V)) > Marked_mark(U33(isNatList(V))) ; } { Marked_active(U31(tt,V)) > Marked_mark(U32(isNatIListKind(V),V)) ; } { Marked_active(U42(tt,V1,V2)) > Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U41(tt,V1,V2)) > Marked_mark(U42(isNatKind(V1),V1,V2)) ; } { Marked_active(U43(tt,V1,V2)) > Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U44(tt,V1,V2)) > Marked_mark(U45(isNat(V1),V2)) ; } { Marked_active(U45(tt,V2)) > Marked_mark(U46(isNatIList(V2))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNatKind(V1),V1,V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatIListKind(V),V)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatIListKind(V2))) ; } { Marked_active(U82(tt,V1,V2)) > Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U81(tt,V1,V2)) > Marked_mark(U82(isNatKind(V1),V1,V2)) ; } { Marked_active(U83(tt,V1,V2)) > Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U84(tt,V1,V2)) > Marked_mark(U85(isNat(V1),V2)) ; } { Marked_active(U85(tt,V2)) > Marked_mark(U86(isNatList(V2))) ; } { Marked_active(U92(tt,L,N)) > Marked_mark(U93(isNat(N),L,N)) ; } { Marked_active(U91(tt,L,N)) > Marked_mark(U92(isNatIListKind(L),L,N)) ; } { Marked_active(U93(tt,L,N)) > Marked_mark(U94(isNatKind(N),L)) ; } { Marked_active(U94(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U91(isNatList(L),L,N)) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U13(X)) >= active(U13(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U33(X)) >= active(U33(mark(X))) constraint: mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) constraint: mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) constraint: mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) constraint: mark(U46(X)) >= active(U46(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U61(X)) >= active(U61(mark(X))) constraint: mark(U71(X)) >= active(U71(mark(X))) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) constraint: mark(U86(X)) >= active(U86(mark(X))) constraint: mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) constraint: mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) constraint: mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) constraint: mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt,V1)) >= mark(U13(isNatList(V1))) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) constraint: active(U13(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) constraint: active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U32(tt,V)) >= mark(U33(isNatList(V))) constraint: active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) constraint: active(U33(tt)) >= mark(tt) constraint: active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) constraint: active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) constraint: active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) constraint: active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) constraint: active(U46(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) constraint: active(U61(tt)) >= mark(tt) constraint: active(U71(tt)) >= mark(tt) constraint: active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) constraint: active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) constraint: active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) constraint: active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) constraint: active(U85(tt,V2)) >= mark(U86(isNatList(V2))) constraint: active(U86(tt)) >= mark(tt) constraint: active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) constraint: active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) constraint: active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) constraint: active(U94(tt,L)) >= mark(s(length(L))) constraint: active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U12(mark(X1),X2) >= U12(X1,X2) constraint: U12(active(X1),X2) >= U12(X1,X2) constraint: U12(X1,mark(X2)) >= U12(X1,X2) constraint: U12(X1,active(X2)) >= U12(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U13(mark(X)) >= U13(X) constraint: U13(active(X)) >= U13(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U32(mark(X1),X2) >= U32(X1,X2) constraint: U32(active(X1),X2) >= U32(X1,X2) constraint: U32(X1,mark(X2)) >= U32(X1,X2) constraint: U32(X1,active(X2)) >= U32(X1,X2) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U33(mark(X)) >= U33(X) constraint: U33(active(X)) >= U33(X) constraint: U42(mark(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(active(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(X1,mark(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,active(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) constraint: U42(X1,X2,active(X3)) >= U42(X1,X2,X3) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(active(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(X1,mark(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,active(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) constraint: U43(X1,X2,active(X3)) >= U43(X1,X2,X3) constraint: U44(mark(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(active(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(X1,mark(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,active(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) constraint: U44(X1,X2,active(X3)) >= U44(X1,X2,X3) constraint: U45(mark(X1),X2) >= U45(X1,X2) constraint: U45(active(X1),X2) >= U45(X1,X2) constraint: U45(X1,mark(X2)) >= U45(X1,X2) constraint: U45(X1,active(X2)) >= U45(X1,X2) constraint: U46(mark(X)) >= U46(X) constraint: U46(active(X)) >= U46(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U61(mark(X)) >= U61(X) constraint: U61(active(X)) >= U61(X) constraint: U71(mark(X)) >= U71(X) constraint: U71(active(X)) >= U71(X) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: U85(mark(X1),X2) >= U85(X1,X2) constraint: U85(active(X1),X2) >= U85(X1,X2) constraint: U85(X1,mark(X2)) >= U85(X1,X2) constraint: U85(X1,active(X2)) >= U85(X1,X2) constraint: U86(mark(X)) >= U86(X) constraint: U86(active(X)) >= U86(X) constraint: U92(mark(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(active(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(X1,mark(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,active(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) constraint: U92(X1,X2,active(X3)) >= U92(X1,X2,X3) constraint: U91(mark(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(active(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(X1,mark(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,active(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) constraint: U91(X1,X2,active(X3)) >= U91(X1,X2,X3) constraint: U93(mark(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(active(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(X1,mark(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,active(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) constraint: U93(X1,X2,active(X3)) >= U93(X1,X2,X3) constraint: U94(mark(X1),X2) >= U94(X1,X2) constraint: U94(active(X1),X2) >= U94(X1,X2) constraint: U94(X1,mark(X2)) >= U94(X1,X2) constraint: U94(X1,active(X2)) >= U94(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) constraint: Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U61(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) constraint: Marked_mark(U94(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) constraint: Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark( U51(isNatKind(V1), V2)) constraint: Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatIListKind(V1),V1)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81( isNatKind( V1), V1, V2)) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) constraint: Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind( V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind( V1), V1)) constraint: Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) constraint: Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) constraint: Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1), V1,V2)) constraint: Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) constraint: Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V1, V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V), V)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) constraint: Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1), V1,V2)) constraint: Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) constraint: Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) constraint: Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) constraint: Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L), L,N)) constraint: Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) constraint: Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> 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--> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U13(X)) >= active(U13(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U33(X)) >= active(U33(mark(X))) ; mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) ; mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) ; mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) ; mark(U46(X)) >= active(U46(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U61(X)) >= active(U61(mark(X))) ; mark(U71(X)) >= active(U71(mark(X))) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) ; mark(U86(X)) >= active(U86(mark(X))) ; mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) ; mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) ; mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) ; mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ; active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ; active(U13(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ; active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U32(tt,V)) >= mark(U33(isNatList(V))) ; active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ; active(U33(tt)) >= mark(tt) ; active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ; active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ; active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ; active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ; active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ; active(U46(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ; active(U61(tt)) >= mark(tt) ; active(U71(tt)) >= mark(tt) ; active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ; active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ; active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ; active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ; active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ; active(U86(tt)) >= mark(tt) ; active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ; active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ; active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ; active(U94(tt,L)) >= mark(s(length(L))) ; active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U12(mark(X1),X2) >= U12(X1,X2) ; U12(active(X1),X2) >= U12(X1,X2) ; U12(X1,mark(X2)) >= U12(X1,X2) ; U12(X1,active(X2)) >= U12(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U13(mark(X)) >= U13(X) ; U13(active(X)) >= U13(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U32(mark(X1),X2) >= U32(X1,X2) ; U32(active(X1),X2) >= U32(X1,X2) ; U32(X1,mark(X2)) >= U32(X1,X2) ; U32(X1,active(X2)) >= U32(X1,X2) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U33(mark(X)) >= U33(X) ; U33(active(X)) >= U33(X) ; U42(mark(X1),X2,X3) >= U42(X1,X2,X3) ; U42(active(X1),X2,X3) >= U42(X1,X2,X3) ; U42(X1,mark(X2),X3) >= U42(X1,X2,X3) ; U42(X1,active(X2),X3) >= U42(X1,X2,X3) ; U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) ; U42(X1,X2,active(X3)) >= U42(X1,X2,X3) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X1),X2,X3) >= U43(X1,X2,X3) ; U43(active(X1),X2,X3) >= U43(X1,X2,X3) ; U43(X1,mark(X2),X3) >= U43(X1,X2,X3) ; U43(X1,active(X2),X3) >= U43(X1,X2,X3) ; U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) ; U43(X1,X2,active(X3)) >= U43(X1,X2,X3) ; U44(mark(X1),X2,X3) >= U44(X1,X2,X3) ; U44(active(X1),X2,X3) >= U44(X1,X2,X3) ; U44(X1,mark(X2),X3) >= U44(X1,X2,X3) ; U44(X1,active(X2),X3) >= U44(X1,X2,X3) ; U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) ; U44(X1,X2,active(X3)) >= U44(X1,X2,X3) ; U45(mark(X1),X2) >= U45(X1,X2) ; U45(active(X1),X2) >= U45(X1,X2) ; U45(X1,mark(X2)) >= U45(X1,X2) ; U45(X1,active(X2)) >= U45(X1,X2) ; U46(mark(X)) >= U46(X) ; U46(active(X)) >= U46(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U61(mark(X)) >= U61(X) ; U61(active(X)) >= U61(X) ; U71(mark(X)) >= U71(X) ; U71(active(X)) >= U71(X) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; U85(mark(X1),X2) >= U85(X1,X2) ; U85(active(X1),X2) >= U85(X1,X2) ; U85(X1,mark(X2)) >= U85(X1,X2) ; U85(X1,active(X2)) >= U85(X1,X2) ; U86(mark(X)) >= U86(X) ; U86(active(X)) >= U86(X) ; U92(mark(X1),X2,X3) >= U92(X1,X2,X3) ; U92(active(X1),X2,X3) >= U92(X1,X2,X3) ; U92(X1,mark(X2),X3) >= U92(X1,X2,X3) ; U92(X1,active(X2),X3) >= U92(X1,X2,X3) ; U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) ; U92(X1,X2,active(X3)) >= U92(X1,X2,X3) ; U91(mark(X1),X2,X3) >= U91(X1,X2,X3) ; U91(active(X1),X2,X3) >= U91(X1,X2,X3) ; U91(X1,mark(X2),X3) >= U91(X1,X2,X3) ; U91(X1,active(X2),X3) >= U91(X1,X2,X3) ; U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) ; U91(X1,X2,active(X3)) >= U91(X1,X2,X3) ; U93(mark(X1),X2,X3) >= U93(X1,X2,X3) ; U93(active(X1),X2,X3) >= U93(X1,X2,X3) ; U93(X1,mark(X2),X3) >= U93(X1,X2,X3) ; U93(X1,active(X2),X3) >= U93(X1,X2,X3) ; U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) ; U93(X1,X2,active(X3)) >= U93(X1,X2,X3) ; U94(mark(X1),X2) >= U94(X1,X2) ; U94(active(X1),X2) >= U94(X1,X2) ; U94(X1,mark(X2)) >= U94(X1,X2) ; U94(X1,active(X2)) >= U94(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) ; Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) ; Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) ; Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) ; Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) ; Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark(U51(isNatKind(V1), V2)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81(isNatKind(V1),V1,V2)) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) ; Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) ; Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) ; Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1),V1,V2)) ; Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) ; Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNatKind(V1), V1,V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V),V)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) ; Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1),V1,V2)) ; Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) ; Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) ; Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) ; Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L),L,N)) ; Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) ; Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_active(U12(mark(X1),X2)) ; } { Marked_mark(isNatIListKind(X)) > Marked_active(isNatIListKind(X)) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_active(U32(mark(X1),X2)) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2)) > Marked_active(U31(mark(X1),X2)) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_active(U42(mark(X1),X2,X3)) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_active(U43(mark(X1),X2,X3)) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_active(U44(mark(X1),X2,X3)) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_active(U45(mark(X1),X2)) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_active(U85(mark(X1),X2)) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_active(U92(mark(X1),X2,X3)) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_active(U91(mark(X1),X2,X3)) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_active(U93(mark(X1),X2,X3)) ; } { Marked_mark(U94(X1,X2)) > Marked_active(U94(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(U12(tt,V1)) > Marked_mark(U13(isNatList(V1))) ; } { Marked_active(isNatIListKind(cons(V1,V2))) > Marked_mark(U51(isNatKind(V1), V2)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U81(isNatKind(V1),V1,V2)) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U71(isNatKind(V1))) ; } { Marked_active(isNatKind(length(V1))) > Marked_mark(U61(isNatIListKind(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V)) > Marked_mark(U33(isNatList(V))) ; } { Marked_active(U31(tt,V)) > Marked_mark(U32(isNatIListKind(V),V)) ; } { Marked_active(U42(tt,V1,V2)) > Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U41(tt,V1,V2)) > Marked_mark(U42(isNatKind(V1),V1,V2)) ; } { Marked_active(U43(tt,V1,V2)) > Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U44(tt,V1,V2)) > Marked_mark(U45(isNat(V1),V2)) ; } { Marked_active(U45(tt,V2)) > Marked_mark(U46(isNatIList(V2))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNatKind(V1),V1,V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatIListKind(V),V)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatIListKind(V2))) ; } { Marked_active(U82(tt,V1,V2)) > Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U81(tt,V1,V2)) > Marked_mark(U82(isNatKind(V1),V1,V2)) ; } { Marked_active(U83(tt,V1,V2)) > Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U84(tt,V1,V2)) > Marked_mark(U85(isNat(V1),V2)) ; } { Marked_active(U85(tt,V2)) > Marked_mark(U86(isNatList(V2))) ; } { Marked_active(U92(tt,L,N)) > Marked_mark(U93(isNat(N),L,N)) ; } { Marked_active(U91(tt,L,N)) > Marked_mark(U92(isNatIListKind(L),L,N)) ; } { Marked_active(U93(tt,L,N)) > Marked_mark(U94(isNatKind(N),L)) ; } { Marked_active(U94(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U91(isNatList(L),L,N)) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U13(X)) >= active(U13(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U33(X)) >= active(U33(mark(X))) constraint: mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) constraint: mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) constraint: mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) constraint: mark(U46(X)) >= active(U46(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U61(X)) >= active(U61(mark(X))) constraint: mark(U71(X)) >= active(U71(mark(X))) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) constraint: mark(U86(X)) >= active(U86(mark(X))) constraint: mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) constraint: mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) constraint: mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) constraint: mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt,V1)) >= mark(U13(isNatList(V1))) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) constraint: active(U13(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) constraint: active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U32(tt,V)) >= mark(U33(isNatList(V))) constraint: active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) constraint: active(U33(tt)) >= mark(tt) constraint: active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) constraint: active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) constraint: active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) constraint: active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) constraint: active(U46(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) constraint: active(U61(tt)) >= mark(tt) constraint: active(U71(tt)) >= mark(tt) constraint: active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) constraint: active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) constraint: active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) constraint: active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) constraint: active(U85(tt,V2)) >= mark(U86(isNatList(V2))) constraint: active(U86(tt)) >= mark(tt) constraint: active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) constraint: active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) constraint: active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) constraint: active(U94(tt,L)) >= mark(s(length(L))) constraint: active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U12(mark(X1),X2) >= U12(X1,X2) constraint: U12(active(X1),X2) >= U12(X1,X2) constraint: U12(X1,mark(X2)) >= U12(X1,X2) constraint: U12(X1,active(X2)) >= U12(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U13(mark(X)) >= U13(X) constraint: U13(active(X)) >= U13(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U32(mark(X1),X2) >= U32(X1,X2) constraint: U32(active(X1),X2) >= U32(X1,X2) constraint: U32(X1,mark(X2)) >= U32(X1,X2) constraint: U32(X1,active(X2)) >= U32(X1,X2) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U33(mark(X)) >= U33(X) constraint: U33(active(X)) >= U33(X) constraint: U42(mark(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(active(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(X1,mark(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,active(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) constraint: U42(X1,X2,active(X3)) >= U42(X1,X2,X3) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(active(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(X1,mark(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,active(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) constraint: U43(X1,X2,active(X3)) >= U43(X1,X2,X3) constraint: U44(mark(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(active(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(X1,mark(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,active(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) constraint: U44(X1,X2,active(X3)) >= U44(X1,X2,X3) constraint: U45(mark(X1),X2) >= U45(X1,X2) constraint: U45(active(X1),X2) >= U45(X1,X2) constraint: U45(X1,mark(X2)) >= U45(X1,X2) constraint: U45(X1,active(X2)) >= U45(X1,X2) constraint: U46(mark(X)) >= U46(X) constraint: U46(active(X)) >= U46(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U61(mark(X)) >= U61(X) constraint: U61(active(X)) >= U61(X) constraint: U71(mark(X)) >= U71(X) constraint: U71(active(X)) >= U71(X) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: U85(mark(X1),X2) >= U85(X1,X2) constraint: U85(active(X1),X2) >= U85(X1,X2) constraint: U85(X1,mark(X2)) >= U85(X1,X2) constraint: U85(X1,active(X2)) >= U85(X1,X2) constraint: U86(mark(X)) >= U86(X) constraint: U86(active(X)) >= U86(X) constraint: U92(mark(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(active(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(X1,mark(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,active(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) constraint: U92(X1,X2,active(X3)) >= U92(X1,X2,X3) constraint: U91(mark(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(active(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(X1,mark(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,active(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) constraint: U91(X1,X2,active(X3)) >= U91(X1,X2,X3) constraint: U93(mark(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(active(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(X1,mark(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,active(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) constraint: U93(X1,X2,active(X3)) >= U93(X1,X2,X3) constraint: U94(mark(X1),X2) >= U94(X1,X2) constraint: U94(active(X1),X2) >= U94(X1,X2) constraint: U94(X1,mark(X2)) >= U94(X1,X2) constraint: U94(X1,active(X2)) >= U94(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) constraint: Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U61(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) constraint: Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) constraint: Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark( U51(isNatKind(V1), V2)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81( isNatKind( V1), V1, V2)) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) constraint: Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind( V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) constraint: Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) constraint: Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1), V1,V2)) constraint: Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) constraint: Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V1, V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V), V)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) constraint: Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1), V1,V2)) constraint: Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) constraint: Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) constraint: Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) constraint: Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L), L,N)) constraint: Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) constraint: Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U13(X)) >= active(U13(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U33(X)) >= active(U33(mark(X))) ; mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) ; mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) ; mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) ; mark(U46(X)) >= active(U46(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U61(X)) >= active(U61(mark(X))) ; mark(U71(X)) >= active(U71(mark(X))) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) ; mark(U86(X)) >= active(U86(mark(X))) ; mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) ; mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) ; mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) ; mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ; active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ; active(U13(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ; active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U32(tt,V)) >= mark(U33(isNatList(V))) ; active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ; active(U33(tt)) >= mark(tt) ; active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ; active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ; active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ; active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ; active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ; active(U46(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ; active(U61(tt)) >= mark(tt) ; active(U71(tt)) >= mark(tt) ; active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ; active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ; active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ; active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ; active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ; active(U86(tt)) >= mark(tt) ; active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ; active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ; active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ; active(U94(tt,L)) >= mark(s(length(L))) ; active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U12(mark(X1),X2) >= U12(X1,X2) ; U12(active(X1),X2) >= U12(X1,X2) ; U12(X1,mark(X2)) >= U12(X1,X2) ; U12(X1,active(X2)) >= U12(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U13(mark(X)) >= U13(X) ; U13(active(X)) >= U13(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U32(mark(X1),X2) >= U32(X1,X2) ; U32(active(X1),X2) >= U32(X1,X2) ; U32(X1,mark(X2)) >= U32(X1,X2) ; U32(X1,active(X2)) >= U32(X1,X2) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U33(mark(X)) >= U33(X) ; U33(active(X)) >= U33(X) ; U42(mark(X1),X2,X3) >= U42(X1,X2,X3) ; U42(active(X1),X2,X3) >= U42(X1,X2,X3) ; U42(X1,mark(X2),X3) >= U42(X1,X2,X3) ; U42(X1,active(X2),X3) >= U42(X1,X2,X3) ; U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) ; U42(X1,X2,active(X3)) >= U42(X1,X2,X3) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X1),X2,X3) >= U43(X1,X2,X3) ; U43(active(X1),X2,X3) >= U43(X1,X2,X3) ; U43(X1,mark(X2),X3) >= U43(X1,X2,X3) ; U43(X1,active(X2),X3) >= U43(X1,X2,X3) ; U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) ; U43(X1,X2,active(X3)) >= U43(X1,X2,X3) ; U44(mark(X1),X2,X3) >= U44(X1,X2,X3) ; U44(active(X1),X2,X3) >= U44(X1,X2,X3) ; U44(X1,mark(X2),X3) >= U44(X1,X2,X3) ; U44(X1,active(X2),X3) >= U44(X1,X2,X3) ; U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) ; U44(X1,X2,active(X3)) >= U44(X1,X2,X3) ; U45(mark(X1),X2) >= U45(X1,X2) ; U45(active(X1),X2) >= U45(X1,X2) ; U45(X1,mark(X2)) >= U45(X1,X2) ; U45(X1,active(X2)) >= U45(X1,X2) ; U46(mark(X)) >= U46(X) ; U46(active(X)) >= U46(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U61(mark(X)) >= U61(X) ; U61(active(X)) >= U61(X) ; U71(mark(X)) >= U71(X) ; U71(active(X)) >= U71(X) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; U85(mark(X1),X2) >= U85(X1,X2) ; U85(active(X1),X2) >= U85(X1,X2) ; U85(X1,mark(X2)) >= U85(X1,X2) ; U85(X1,active(X2)) >= U85(X1,X2) ; U86(mark(X)) >= U86(X) ; U86(active(X)) >= U86(X) ; U92(mark(X1),X2,X3) >= U92(X1,X2,X3) ; U92(active(X1),X2,X3) >= U92(X1,X2,X3) ; U92(X1,mark(X2),X3) >= U92(X1,X2,X3) ; U92(X1,active(X2),X3) >= U92(X1,X2,X3) ; U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) ; U92(X1,X2,active(X3)) >= U92(X1,X2,X3) ; U91(mark(X1),X2,X3) >= U91(X1,X2,X3) ; U91(active(X1),X2,X3) >= U91(X1,X2,X3) ; U91(X1,mark(X2),X3) >= U91(X1,X2,X3) ; U91(X1,active(X2),X3) >= U91(X1,X2,X3) ; U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) ; U91(X1,X2,active(X3)) >= U91(X1,X2,X3) ; U93(mark(X1),X2,X3) >= U93(X1,X2,X3) ; U93(active(X1),X2,X3) >= U93(X1,X2,X3) ; U93(X1,mark(X2),X3) >= U93(X1,X2,X3) ; U93(X1,active(X2),X3) >= U93(X1,X2,X3) ; U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) ; U93(X1,X2,active(X3)) >= U93(X1,X2,X3) ; U94(mark(X1),X2) >= U94(X1,X2) ; U94(active(X1),X2) >= U94(X1,X2) ; U94(X1,mark(X2)) >= U94(X1,X2) ; U94(X1,active(X2)) >= U94(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) ; Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) ; Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) ; Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) ; Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) ; Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark(U51(isNatKind(V1), V2)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81(isNatKind(V1),V1,V2)) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) ; Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) ; Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) ; Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1),V1,V2)) ; Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) ; Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNatKind(V1), V1,V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V),V)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) ; Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1),V1,V2)) ; Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) ; Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) ; Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) ; Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L),L,N)) ; Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) ; Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_active(U12(mark(X1),X2)) ; } { Marked_mark(isNatIListKind(X)) > Marked_active(isNatIListKind(X)) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_active(U32(mark(X1),X2)) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2)) > Marked_active(U31(mark(X1),X2)) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_active(U42(mark(X1),X2,X3)) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_active(U43(mark(X1),X2,X3)) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_active(U44(mark(X1),X2,X3)) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_active(U45(mark(X1),X2)) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_active(U85(mark(X1),X2)) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_active(U92(mark(X1),X2,X3)) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_active(U91(mark(X1),X2,X3)) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_active(U93(mark(X1),X2,X3)) ; } { Marked_mark(U94(X1,X2)) > Marked_active(U94(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(U12(tt,V1)) > Marked_mark(U13(isNatList(V1))) ; } { Marked_active(isNatIListKind(cons(V1,V2))) > Marked_mark(U51(isNatKind(V1), V2)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U81(isNatKind(V1),V1,V2)) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U71(isNatKind(V1))) ; } { Marked_active(isNatKind(length(V1))) > Marked_mark(U61(isNatIListKind(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V)) > Marked_mark(U33(isNatList(V))) ; } { Marked_active(U31(tt,V)) > Marked_mark(U32(isNatIListKind(V),V)) ; } { Marked_active(U42(tt,V1,V2)) > Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U41(tt,V1,V2)) > Marked_mark(U42(isNatKind(V1),V1,V2)) ; } { Marked_active(U43(tt,V1,V2)) > Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U44(tt,V1,V2)) > Marked_mark(U45(isNat(V1),V2)) ; } { Marked_active(U45(tt,V2)) > Marked_mark(U46(isNatIList(V2))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNatKind(V1),V1,V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatIListKind(V),V)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatIListKind(V2))) ; } { Marked_active(U82(tt,V1,V2)) > Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U81(tt,V1,V2)) > Marked_mark(U82(isNatKind(V1),V1,V2)) ; } { Marked_active(U83(tt,V1,V2)) > Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U84(tt,V1,V2)) > Marked_mark(U85(isNat(V1),V2)) ; } { Marked_active(U85(tt,V2)) > Marked_mark(U86(isNatList(V2))) ; } { Marked_active(U92(tt,L,N)) > Marked_mark(U93(isNat(N),L,N)) ; } { Marked_active(U91(tt,L,N)) > Marked_mark(U92(isNatIListKind(L),L,N)) ; } { Marked_active(U93(tt,L,N)) > Marked_mark(U94(isNatKind(N),L)) ; } { Marked_active(U94(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U91(isNatList(L),L,N)) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U13(X)) >= active(U13(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U33(X)) >= active(U33(mark(X))) constraint: mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) constraint: mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) constraint: mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) constraint: mark(U46(X)) >= active(U46(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U61(X)) >= active(U61(mark(X))) constraint: mark(U71(X)) >= active(U71(mark(X))) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) constraint: mark(U86(X)) >= active(U86(mark(X))) constraint: mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) constraint: mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) constraint: mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) constraint: mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt,V1)) >= mark(U13(isNatList(V1))) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) constraint: active(U13(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) constraint: active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U32(tt,V)) >= mark(U33(isNatList(V))) constraint: active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) constraint: active(U33(tt)) >= mark(tt) constraint: active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) constraint: active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) constraint: active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) constraint: active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) constraint: active(U46(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) constraint: active(U61(tt)) >= mark(tt) constraint: active(U71(tt)) >= mark(tt) constraint: active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) constraint: active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) constraint: active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) constraint: active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) constraint: active(U85(tt,V2)) >= mark(U86(isNatList(V2))) constraint: active(U86(tt)) >= mark(tt) constraint: active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) constraint: active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) constraint: active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) constraint: active(U94(tt,L)) >= mark(s(length(L))) constraint: active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U12(mark(X1),X2) >= U12(X1,X2) constraint: U12(active(X1),X2) >= U12(X1,X2) constraint: U12(X1,mark(X2)) >= U12(X1,X2) constraint: U12(X1,active(X2)) >= U12(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U13(mark(X)) >= U13(X) constraint: U13(active(X)) >= U13(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U32(mark(X1),X2) >= U32(X1,X2) constraint: U32(active(X1),X2) >= U32(X1,X2) constraint: U32(X1,mark(X2)) >= U32(X1,X2) constraint: U32(X1,active(X2)) >= U32(X1,X2) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U33(mark(X)) >= U33(X) constraint: U33(active(X)) >= U33(X) constraint: U42(mark(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(active(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(X1,mark(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,active(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) constraint: U42(X1,X2,active(X3)) >= U42(X1,X2,X3) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(active(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(X1,mark(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,active(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) constraint: U43(X1,X2,active(X3)) >= U43(X1,X2,X3) constraint: U44(mark(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(active(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(X1,mark(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,active(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) constraint: U44(X1,X2,active(X3)) >= U44(X1,X2,X3) constraint: U45(mark(X1),X2) >= U45(X1,X2) constraint: U45(active(X1),X2) >= U45(X1,X2) constraint: U45(X1,mark(X2)) >= U45(X1,X2) constraint: U45(X1,active(X2)) >= U45(X1,X2) constraint: U46(mark(X)) >= U46(X) constraint: U46(active(X)) >= U46(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U61(mark(X)) >= U61(X) constraint: U61(active(X)) >= U61(X) constraint: U71(mark(X)) >= U71(X) constraint: U71(active(X)) >= U71(X) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: U85(mark(X1),X2) >= U85(X1,X2) constraint: U85(active(X1),X2) >= U85(X1,X2) constraint: U85(X1,mark(X2)) >= U85(X1,X2) constraint: U85(X1,active(X2)) >= U85(X1,X2) constraint: U86(mark(X)) >= U86(X) constraint: U86(active(X)) >= U86(X) constraint: U92(mark(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(active(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(X1,mark(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,active(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) constraint: U92(X1,X2,active(X3)) >= U92(X1,X2,X3) constraint: U91(mark(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(active(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(X1,mark(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,active(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) constraint: U91(X1,X2,active(X3)) >= U91(X1,X2,X3) constraint: U93(mark(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(active(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(X1,mark(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,active(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) constraint: U93(X1,X2,active(X3)) >= U93(X1,X2,X3) constraint: U94(mark(X1),X2) >= U94(X1,X2) constraint: U94(active(X1),X2) >= U94(X1,X2) constraint: U94(X1,mark(X2)) >= U94(X1,X2) constraint: U94(X1,active(X2)) >= U94(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) constraint: Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U61(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) constraint: Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) constraint: Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark( U51(isNatKind(V1), V2)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81( isNatKind( V1), V1, V2)) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) constraint: Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind( V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) constraint: Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) constraint: Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1), V1,V2)) constraint: Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) constraint: Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V1, V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V), V)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) constraint: Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1), V1,V2)) constraint: Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) constraint: Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) constraint: Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) constraint: Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L), L,N)) constraint: Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) constraint: Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U13(X)) >= active(U13(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U33(X)) >= active(U33(mark(X))) ; mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) ; mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) ; mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) ; mark(U46(X)) >= active(U46(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U61(X)) >= active(U61(mark(X))) ; mark(U71(X)) >= active(U71(mark(X))) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) ; mark(U86(X)) >= active(U86(mark(X))) ; mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) ; mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) ; mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) ; mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ; active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ; active(U13(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ; active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U32(tt,V)) >= mark(U33(isNatList(V))) ; active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ; active(U33(tt)) >= mark(tt) ; active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ; active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ; active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ; active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ; active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ; active(U46(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ; active(U61(tt)) >= mark(tt) ; active(U71(tt)) >= mark(tt) ; active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ; active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ; active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ; active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ; active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ; active(U86(tt)) >= mark(tt) ; active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ; active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ; active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ; active(U94(tt,L)) >= mark(s(length(L))) ; active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U12(mark(X1),X2) >= U12(X1,X2) ; U12(active(X1),X2) >= U12(X1,X2) ; U12(X1,mark(X2)) >= U12(X1,X2) ; U12(X1,active(X2)) >= U12(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U13(mark(X)) >= U13(X) ; U13(active(X)) >= U13(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U32(mark(X1),X2) >= U32(X1,X2) ; U32(active(X1),X2) >= U32(X1,X2) ; U32(X1,mark(X2)) >= U32(X1,X2) ; U32(X1,active(X2)) >= U32(X1,X2) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U33(mark(X)) >= U33(X) ; U33(active(X)) >= U33(X) ; U42(mark(X1),X2,X3) >= U42(X1,X2,X3) ; U42(active(X1),X2,X3) >= U42(X1,X2,X3) ; U42(X1,mark(X2),X3) >= U42(X1,X2,X3) ; U42(X1,active(X2),X3) >= U42(X1,X2,X3) ; U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) ; U42(X1,X2,active(X3)) >= U42(X1,X2,X3) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X1),X2,X3) >= U43(X1,X2,X3) ; U43(active(X1),X2,X3) >= U43(X1,X2,X3) ; U43(X1,mark(X2),X3) >= U43(X1,X2,X3) ; U43(X1,active(X2),X3) >= U43(X1,X2,X3) ; U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) ; U43(X1,X2,active(X3)) >= U43(X1,X2,X3) ; U44(mark(X1),X2,X3) >= U44(X1,X2,X3) ; U44(active(X1),X2,X3) >= U44(X1,X2,X3) ; U44(X1,mark(X2),X3) >= U44(X1,X2,X3) ; U44(X1,active(X2),X3) >= U44(X1,X2,X3) ; U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) ; U44(X1,X2,active(X3)) >= U44(X1,X2,X3) ; U45(mark(X1),X2) >= U45(X1,X2) ; U45(active(X1),X2) >= U45(X1,X2) ; U45(X1,mark(X2)) >= U45(X1,X2) ; U45(X1,active(X2)) >= U45(X1,X2) ; U46(mark(X)) >= U46(X) ; U46(active(X)) >= U46(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U61(mark(X)) >= U61(X) ; U61(active(X)) >= U61(X) ; U71(mark(X)) >= U71(X) ; U71(active(X)) >= U71(X) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; U85(mark(X1),X2) >= U85(X1,X2) ; U85(active(X1),X2) >= U85(X1,X2) ; U85(X1,mark(X2)) >= U85(X1,X2) ; U85(X1,active(X2)) >= U85(X1,X2) ; U86(mark(X)) >= U86(X) ; U86(active(X)) >= U86(X) ; U92(mark(X1),X2,X3) >= U92(X1,X2,X3) ; U92(active(X1),X2,X3) >= U92(X1,X2,X3) ; U92(X1,mark(X2),X3) >= U92(X1,X2,X3) ; U92(X1,active(X2),X3) >= U92(X1,X2,X3) ; U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) ; U92(X1,X2,active(X3)) >= U92(X1,X2,X3) ; U91(mark(X1),X2,X3) >= U91(X1,X2,X3) ; U91(active(X1),X2,X3) >= U91(X1,X2,X3) ; U91(X1,mark(X2),X3) >= U91(X1,X2,X3) ; U91(X1,active(X2),X3) >= U91(X1,X2,X3) ; U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) ; U91(X1,X2,active(X3)) >= U91(X1,X2,X3) ; U93(mark(X1),X2,X3) >= U93(X1,X2,X3) ; U93(active(X1),X2,X3) >= U93(X1,X2,X3) ; U93(X1,mark(X2),X3) >= U93(X1,X2,X3) ; U93(X1,active(X2),X3) >= U93(X1,X2,X3) ; U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) ; U93(X1,X2,active(X3)) >= U93(X1,X2,X3) ; U94(mark(X1),X2) >= U94(X1,X2) ; U94(active(X1),X2) >= U94(X1,X2) ; U94(X1,mark(X2)) >= U94(X1,X2) ; U94(X1,active(X2)) >= U94(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) ; Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) ; Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) ; Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) ; Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) ; Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark(U51(isNatKind(V1), V2)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81(isNatKind(V1),V1,V2)) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) ; Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) ; Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) ; Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1),V1,V2)) ; Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) ; Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNatKind(V1), V1,V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V),V)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) ; Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1),V1,V2)) ; Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) ; Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) ; Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) ; Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L),L,N)) ; Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) ; Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_active(U12(mark(X1),X2)) ; } { Marked_mark(isNatIListKind(X)) > Marked_active(isNatIListKind(X)) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_active(U32(mark(X1),X2)) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2)) > Marked_active(U31(mark(X1),X2)) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_active(U42(mark(X1),X2,X3)) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_active(U43(mark(X1),X2,X3)) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_active(U44(mark(X1),X2,X3)) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_active(U45(mark(X1),X2)) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_active(U85(mark(X1),X2)) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_active(U92(mark(X1),X2,X3)) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_active(U91(mark(X1),X2,X3)) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_active(U93(mark(X1),X2,X3)) ; } { Marked_mark(U94(X1,X2)) > Marked_active(U94(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(U12(tt,V1)) > Marked_mark(U13(isNatList(V1))) ; } { Marked_active(isNatIListKind(cons(V1,V2))) > Marked_mark(U51(isNatKind(V1), V2)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U81(isNatKind(V1),V1,V2)) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U71(isNatKind(V1))) ; } { Marked_active(isNatKind(length(V1))) > Marked_mark(U61(isNatIListKind(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V)) > Marked_mark(U33(isNatList(V))) ; } { Marked_active(U31(tt,V)) > Marked_mark(U32(isNatIListKind(V),V)) ; } { Marked_active(U42(tt,V1,V2)) > Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U41(tt,V1,V2)) > Marked_mark(U42(isNatKind(V1),V1,V2)) ; } { Marked_active(U43(tt,V1,V2)) > Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U44(tt,V1,V2)) > Marked_mark(U45(isNat(V1),V2)) ; } { Marked_active(U45(tt,V2)) > Marked_mark(U46(isNatIList(V2))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNatKind(V1),V1,V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatIListKind(V),V)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatIListKind(V2))) ; } { Marked_active(U82(tt,V1,V2)) > Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U81(tt,V1,V2)) > Marked_mark(U82(isNatKind(V1),V1,V2)) ; } { Marked_active(U83(tt,V1,V2)) > Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U84(tt,V1,V2)) > Marked_mark(U85(isNat(V1),V2)) ; } { Marked_active(U85(tt,V2)) > Marked_mark(U86(isNatList(V2))) ; } { Marked_active(U92(tt,L,N)) > Marked_mark(U93(isNat(N),L,N)) ; } { Marked_active(U91(tt,L,N)) > Marked_mark(U92(isNatIListKind(L),L,N)) ; } { Marked_active(U93(tt,L,N)) > Marked_mark(U94(isNatKind(N),L)) ; } { Marked_active(U94(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U91(isNatList(L),L,N)) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U13(X)) >= active(U13(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U33(X)) >= active(U33(mark(X))) constraint: mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) constraint: mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) constraint: mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) constraint: mark(U46(X)) >= active(U46(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U61(X)) >= active(U61(mark(X))) constraint: mark(U71(X)) >= active(U71(mark(X))) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) constraint: mark(U86(X)) >= active(U86(mark(X))) constraint: mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) constraint: mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) constraint: mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) constraint: mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt,V1)) >= mark(U13(isNatList(V1))) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) constraint: active(U13(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) constraint: active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U32(tt,V)) >= mark(U33(isNatList(V))) constraint: active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) constraint: active(U33(tt)) >= mark(tt) constraint: active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) constraint: active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) constraint: active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) constraint: active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) constraint: active(U46(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) constraint: active(U61(tt)) >= mark(tt) constraint: active(U71(tt)) >= mark(tt) constraint: active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) constraint: active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) constraint: active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) constraint: active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) constraint: active(U85(tt,V2)) >= mark(U86(isNatList(V2))) constraint: active(U86(tt)) >= mark(tt) constraint: active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) constraint: active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) constraint: active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) constraint: active(U94(tt,L)) >= mark(s(length(L))) constraint: active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U12(mark(X1),X2) >= U12(X1,X2) constraint: U12(active(X1),X2) >= U12(X1,X2) constraint: U12(X1,mark(X2)) >= U12(X1,X2) constraint: U12(X1,active(X2)) >= U12(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U13(mark(X)) >= U13(X) constraint: U13(active(X)) >= U13(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U32(mark(X1),X2) >= U32(X1,X2) constraint: U32(active(X1),X2) >= U32(X1,X2) constraint: U32(X1,mark(X2)) >= U32(X1,X2) constraint: U32(X1,active(X2)) >= U32(X1,X2) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U33(mark(X)) >= U33(X) constraint: U33(active(X)) >= U33(X) constraint: U42(mark(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(active(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(X1,mark(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,active(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) constraint: U42(X1,X2,active(X3)) >= U42(X1,X2,X3) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(active(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(X1,mark(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,active(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) constraint: U43(X1,X2,active(X3)) >= U43(X1,X2,X3) constraint: U44(mark(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(active(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(X1,mark(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,active(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) constraint: U44(X1,X2,active(X3)) >= U44(X1,X2,X3) constraint: U45(mark(X1),X2) >= U45(X1,X2) constraint: U45(active(X1),X2) >= U45(X1,X2) constraint: U45(X1,mark(X2)) >= U45(X1,X2) constraint: U45(X1,active(X2)) >= U45(X1,X2) constraint: U46(mark(X)) >= U46(X) constraint: U46(active(X)) >= U46(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U61(mark(X)) >= U61(X) constraint: U61(active(X)) >= U61(X) constraint: U71(mark(X)) >= U71(X) constraint: U71(active(X)) >= U71(X) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: U85(mark(X1),X2) >= U85(X1,X2) constraint: U85(active(X1),X2) >= U85(X1,X2) constraint: U85(X1,mark(X2)) >= U85(X1,X2) constraint: U85(X1,active(X2)) >= U85(X1,X2) constraint: U86(mark(X)) >= U86(X) constraint: U86(active(X)) >= U86(X) constraint: U92(mark(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(active(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(X1,mark(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,active(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) constraint: U92(X1,X2,active(X3)) >= U92(X1,X2,X3) constraint: U91(mark(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(active(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(X1,mark(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,active(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) constraint: U91(X1,X2,active(X3)) >= U91(X1,X2,X3) constraint: U93(mark(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(active(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(X1,mark(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,active(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) constraint: U93(X1,X2,active(X3)) >= U93(X1,X2,X3) constraint: U94(mark(X1),X2) >= U94(X1,X2) constraint: U94(active(X1),X2) >= U94(X1,X2) constraint: U94(X1,mark(X2)) >= U94(X1,X2) constraint: U94(X1,active(X2)) >= U94(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) constraint: Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U61(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) constraint: Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) constraint: Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark( U51(isNatKind(V1), V2)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81( isNatKind( V1), V1, V2)) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) constraint: Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind( V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) constraint: Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) constraint: Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1), V1,V2)) constraint: Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) constraint: Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V1, V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V), V)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) constraint: Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1), V1,V2)) constraint: Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) constraint: Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) constraint: Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) constraint: Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L), L,N)) constraint: Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) constraint: Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U13(X)) >= active(U13(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U33(X)) >= active(U33(mark(X))) ; mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) ; mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) ; mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) ; mark(U46(X)) >= active(U46(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U61(X)) >= active(U61(mark(X))) ; mark(U71(X)) >= active(U71(mark(X))) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) ; mark(U86(X)) >= active(U86(mark(X))) ; mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) ; mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) ; mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) ; mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ; active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ; active(U13(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ; active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U32(tt,V)) >= mark(U33(isNatList(V))) ; active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ; active(U33(tt)) >= mark(tt) ; active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ; active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ; active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ; active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ; active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ; active(U46(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ; active(U61(tt)) >= mark(tt) ; active(U71(tt)) >= mark(tt) ; active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ; active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ; active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ; active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ; active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ; active(U86(tt)) >= mark(tt) ; active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ; active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ; active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ; active(U94(tt,L)) >= mark(s(length(L))) ; active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U12(mark(X1),X2) >= U12(X1,X2) ; U12(active(X1),X2) >= U12(X1,X2) ; U12(X1,mark(X2)) >= U12(X1,X2) ; U12(X1,active(X2)) >= U12(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U13(mark(X)) >= U13(X) ; U13(active(X)) >= U13(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U32(mark(X1),X2) >= U32(X1,X2) ; U32(active(X1),X2) >= U32(X1,X2) ; U32(X1,mark(X2)) >= U32(X1,X2) ; U32(X1,active(X2)) >= U32(X1,X2) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U33(mark(X)) >= U33(X) ; U33(active(X)) >= U33(X) ; U42(mark(X1),X2,X3) >= U42(X1,X2,X3) ; U42(active(X1),X2,X3) >= U42(X1,X2,X3) ; U42(X1,mark(X2),X3) >= U42(X1,X2,X3) ; U42(X1,active(X2),X3) >= U42(X1,X2,X3) ; U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) ; U42(X1,X2,active(X3)) >= U42(X1,X2,X3) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X1),X2,X3) >= U43(X1,X2,X3) ; U43(active(X1),X2,X3) >= U43(X1,X2,X3) ; U43(X1,mark(X2),X3) >= U43(X1,X2,X3) ; U43(X1,active(X2),X3) >= U43(X1,X2,X3) ; U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) ; U43(X1,X2,active(X3)) >= U43(X1,X2,X3) ; U44(mark(X1),X2,X3) >= U44(X1,X2,X3) ; U44(active(X1),X2,X3) >= U44(X1,X2,X3) ; U44(X1,mark(X2),X3) >= U44(X1,X2,X3) ; U44(X1,active(X2),X3) >= U44(X1,X2,X3) ; U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) ; U44(X1,X2,active(X3)) >= U44(X1,X2,X3) ; U45(mark(X1),X2) >= U45(X1,X2) ; U45(active(X1),X2) >= U45(X1,X2) ; U45(X1,mark(X2)) >= U45(X1,X2) ; U45(X1,active(X2)) >= U45(X1,X2) ; U46(mark(X)) >= U46(X) ; U46(active(X)) >= U46(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U61(mark(X)) >= U61(X) ; U61(active(X)) >= U61(X) ; U71(mark(X)) >= U71(X) ; U71(active(X)) >= U71(X) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; U85(mark(X1),X2) >= U85(X1,X2) ; U85(active(X1),X2) >= U85(X1,X2) ; U85(X1,mark(X2)) >= U85(X1,X2) ; U85(X1,active(X2)) >= U85(X1,X2) ; U86(mark(X)) >= U86(X) ; U86(active(X)) >= U86(X) ; U92(mark(X1),X2,X3) >= U92(X1,X2,X3) ; U92(active(X1),X2,X3) >= U92(X1,X2,X3) ; U92(X1,mark(X2),X3) >= U92(X1,X2,X3) ; U92(X1,active(X2),X3) >= U92(X1,X2,X3) ; U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) ; U92(X1,X2,active(X3)) >= U92(X1,X2,X3) ; U91(mark(X1),X2,X3) >= U91(X1,X2,X3) ; U91(active(X1),X2,X3) >= U91(X1,X2,X3) ; U91(X1,mark(X2),X3) >= U91(X1,X2,X3) ; U91(X1,active(X2),X3) >= U91(X1,X2,X3) ; U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) ; U91(X1,X2,active(X3)) >= U91(X1,X2,X3) ; U93(mark(X1),X2,X3) >= U93(X1,X2,X3) ; U93(active(X1),X2,X3) >= U93(X1,X2,X3) ; U93(X1,mark(X2),X3) >= U93(X1,X2,X3) ; U93(X1,active(X2),X3) >= U93(X1,X2,X3) ; U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) ; U93(X1,X2,active(X3)) >= U93(X1,X2,X3) ; U94(mark(X1),X2) >= U94(X1,X2) ; U94(active(X1),X2) >= U94(X1,X2) ; U94(X1,mark(X2)) >= U94(X1,X2) ; U94(X1,active(X2)) >= U94(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) ; Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) ; Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) ; Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) ; Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) ; Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark(U51(isNatKind(V1), V2)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81(isNatKind(V1),V1,V2)) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) ; Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) ; Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) ; Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1),V1,V2)) ; Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) ; Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNatKind(V1), V1,V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V),V)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) ; Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1),V1,V2)) ; Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) ; Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) ; Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) ; Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L),L,N)) ; Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) ; Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_active(U12(mark(X1),X2)) ; } { Marked_mark(isNatIListKind(X)) > Marked_active(isNatIListKind(X)) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_active(U32(mark(X1),X2)) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2)) > Marked_active(U31(mark(X1),X2)) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_active(U42(mark(X1),X2,X3)) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_active(U43(mark(X1),X2,X3)) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_active(U44(mark(X1),X2,X3)) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_active(U45(mark(X1),X2)) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_active(U85(mark(X1),X2)) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_active(U92(mark(X1),X2,X3)) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_active(U91(mark(X1),X2,X3)) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_active(U93(mark(X1),X2,X3)) ; } { Marked_mark(U94(X1,X2)) > Marked_active(U94(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(U12(tt,V1)) > Marked_mark(U13(isNatList(V1))) ; } { Marked_active(isNatIListKind(cons(V1,V2))) > Marked_mark(U51(isNatKind(V1), V2)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U81(isNatKind(V1),V1,V2)) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U71(isNatKind(V1))) ; } { Marked_active(isNatKind(length(V1))) > Marked_mark(U61(isNatIListKind(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V)) > Marked_mark(U33(isNatList(V))) ; } { Marked_active(U31(tt,V)) > Marked_mark(U32(isNatIListKind(V),V)) ; } { Marked_active(U42(tt,V1,V2)) > Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U41(tt,V1,V2)) > Marked_mark(U42(isNatKind(V1),V1,V2)) ; } { Marked_active(U43(tt,V1,V2)) > Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U44(tt,V1,V2)) > Marked_mark(U45(isNat(V1),V2)) ; } { Marked_active(U45(tt,V2)) > Marked_mark(U46(isNatIList(V2))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNatKind(V1),V1,V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatIListKind(V),V)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatIListKind(V2))) ; } { Marked_active(U82(tt,V1,V2)) > Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U81(tt,V1,V2)) > Marked_mark(U82(isNatKind(V1),V1,V2)) ; } { Marked_active(U83(tt,V1,V2)) > Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U84(tt,V1,V2)) > Marked_mark(U85(isNat(V1),V2)) ; } { Marked_active(U85(tt,V2)) > Marked_mark(U86(isNatList(V2))) ; } { Marked_active(U92(tt,L,N)) > Marked_mark(U93(isNat(N),L,N)) ; } { Marked_active(U91(tt,L,N)) > Marked_mark(U92(isNatIListKind(L),L,N)) ; } { Marked_active(U93(tt,L,N)) > Marked_mark(U94(isNatKind(N),L)) ; } { Marked_active(U94(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U91(isNatList(L),L,N)) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U13(X)) >= active(U13(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U33(X)) >= active(U33(mark(X))) constraint: mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) constraint: mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) constraint: mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) constraint: mark(U46(X)) >= active(U46(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U61(X)) >= active(U61(mark(X))) constraint: mark(U71(X)) >= active(U71(mark(X))) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) constraint: mark(U86(X)) >= active(U86(mark(X))) constraint: mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) constraint: mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) constraint: mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) constraint: mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt,V1)) >= mark(U13(isNatList(V1))) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) constraint: active(U13(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) constraint: active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U32(tt,V)) >= mark(U33(isNatList(V))) constraint: active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) constraint: active(U33(tt)) >= mark(tt) constraint: active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) constraint: active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) constraint: active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) constraint: active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) constraint: active(U46(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) constraint: active(U61(tt)) >= mark(tt) constraint: active(U71(tt)) >= mark(tt) constraint: active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) constraint: active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) constraint: active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) constraint: active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) constraint: active(U85(tt,V2)) >= mark(U86(isNatList(V2))) constraint: active(U86(tt)) >= mark(tt) constraint: active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) constraint: active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) constraint: active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) constraint: active(U94(tt,L)) >= mark(s(length(L))) constraint: active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U12(mark(X1),X2) >= U12(X1,X2) constraint: U12(active(X1),X2) >= U12(X1,X2) constraint: U12(X1,mark(X2)) >= U12(X1,X2) constraint: U12(X1,active(X2)) >= U12(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U13(mark(X)) >= U13(X) constraint: U13(active(X)) >= U13(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U32(mark(X1),X2) >= U32(X1,X2) constraint: U32(active(X1),X2) >= U32(X1,X2) constraint: U32(X1,mark(X2)) >= U32(X1,X2) constraint: U32(X1,active(X2)) >= U32(X1,X2) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U33(mark(X)) >= U33(X) constraint: U33(active(X)) >= U33(X) constraint: U42(mark(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(active(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(X1,mark(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,active(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) constraint: U42(X1,X2,active(X3)) >= U42(X1,X2,X3) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(active(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(X1,mark(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,active(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) constraint: U43(X1,X2,active(X3)) >= U43(X1,X2,X3) constraint: U44(mark(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(active(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(X1,mark(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,active(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) constraint: U44(X1,X2,active(X3)) >= U44(X1,X2,X3) constraint: U45(mark(X1),X2) >= U45(X1,X2) constraint: U45(active(X1),X2) >= U45(X1,X2) constraint: U45(X1,mark(X2)) >= U45(X1,X2) constraint: U45(X1,active(X2)) >= U45(X1,X2) constraint: U46(mark(X)) >= U46(X) constraint: U46(active(X)) >= U46(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U61(mark(X)) >= U61(X) constraint: U61(active(X)) >= U61(X) constraint: U71(mark(X)) >= U71(X) constraint: U71(active(X)) >= U71(X) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: U85(mark(X1),X2) >= U85(X1,X2) constraint: U85(active(X1),X2) >= U85(X1,X2) constraint: U85(X1,mark(X2)) >= U85(X1,X2) constraint: U85(X1,active(X2)) >= U85(X1,X2) constraint: U86(mark(X)) >= U86(X) constraint: U86(active(X)) >= U86(X) constraint: U92(mark(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(active(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(X1,mark(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,active(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) constraint: U92(X1,X2,active(X3)) >= U92(X1,X2,X3) constraint: U91(mark(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(active(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(X1,mark(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,active(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) constraint: U91(X1,X2,active(X3)) >= U91(X1,X2,X3) constraint: U93(mark(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(active(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(X1,mark(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,active(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) constraint: U93(X1,X2,active(X3)) >= U93(X1,X2,X3) constraint: U94(mark(X1),X2) >= U94(X1,X2) constraint: U94(active(X1),X2) >= U94(X1,X2) constraint: U94(X1,mark(X2)) >= U94(X1,X2) constraint: U94(X1,active(X2)) >= U94(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) constraint: Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U61(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) constraint: Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) constraint: Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark( U51(isNatKind(V1), V2)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81( isNatKind( V1), V1, V2)) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) constraint: Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind( V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) constraint: Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) constraint: Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1), V1,V2)) constraint: Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) constraint: Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V1, V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V), V)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) constraint: Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1), V1,V2)) constraint: Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) constraint: Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) constraint: Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) constraint: Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L), L,N)) constraint: Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) constraint: Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U13(X)) >= active(U13(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U33(X)) >= active(U33(mark(X))) ; mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) ; mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) ; mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) ; mark(U46(X)) >= active(U46(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U61(X)) >= active(U61(mark(X))) ; mark(U71(X)) >= active(U71(mark(X))) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) ; mark(U86(X)) >= active(U86(mark(X))) ; mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) ; mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) ; mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) ; mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt,V1)) >= mark(U13(isNatList(V1))) ; active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) ; active(U13(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) ; active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U32(tt,V)) >= mark(U33(isNatList(V))) ; active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) ; active(U33(tt)) >= mark(tt) ; active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) ; active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) ; active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) ; active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) ; active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) ; active(U46(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) ; active(U61(tt)) >= mark(tt) ; active(U71(tt)) >= mark(tt) ; active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) ; active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) ; active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) ; active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) ; active(U85(tt,V2)) >= mark(U86(isNatList(V2))) ; active(U86(tt)) >= mark(tt) ; active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) ; active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) ; active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) ; active(U94(tt,L)) >= mark(s(length(L))) ; active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U12(mark(X1),X2) >= U12(X1,X2) ; U12(active(X1),X2) >= U12(X1,X2) ; U12(X1,mark(X2)) >= U12(X1,X2) ; U12(X1,active(X2)) >= U12(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U13(mark(X)) >= U13(X) ; U13(active(X)) >= U13(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U32(mark(X1),X2) >= U32(X1,X2) ; U32(active(X1),X2) >= U32(X1,X2) ; U32(X1,mark(X2)) >= U32(X1,X2) ; U32(X1,active(X2)) >= U32(X1,X2) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U33(mark(X)) >= U33(X) ; U33(active(X)) >= U33(X) ; U42(mark(X1),X2,X3) >= U42(X1,X2,X3) ; U42(active(X1),X2,X3) >= U42(X1,X2,X3) ; U42(X1,mark(X2),X3) >= U42(X1,X2,X3) ; U42(X1,active(X2),X3) >= U42(X1,X2,X3) ; U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) ; U42(X1,X2,active(X3)) >= U42(X1,X2,X3) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X1),X2,X3) >= U43(X1,X2,X3) ; U43(active(X1),X2,X3) >= U43(X1,X2,X3) ; U43(X1,mark(X2),X3) >= U43(X1,X2,X3) ; U43(X1,active(X2),X3) >= U43(X1,X2,X3) ; U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) ; U43(X1,X2,active(X3)) >= U43(X1,X2,X3) ; U44(mark(X1),X2,X3) >= U44(X1,X2,X3) ; U44(active(X1),X2,X3) >= U44(X1,X2,X3) ; U44(X1,mark(X2),X3) >= U44(X1,X2,X3) ; U44(X1,active(X2),X3) >= U44(X1,X2,X3) ; U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) ; U44(X1,X2,active(X3)) >= U44(X1,X2,X3) ; U45(mark(X1),X2) >= U45(X1,X2) ; U45(active(X1),X2) >= U45(X1,X2) ; U45(X1,mark(X2)) >= U45(X1,X2) ; U45(X1,active(X2)) >= U45(X1,X2) ; U46(mark(X)) >= U46(X) ; U46(active(X)) >= U46(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U61(mark(X)) >= U61(X) ; U61(active(X)) >= U61(X) ; U71(mark(X)) >= U71(X) ; U71(active(X)) >= U71(X) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; U85(mark(X1),X2) >= U85(X1,X2) ; U85(active(X1),X2) >= U85(X1,X2) ; U85(X1,mark(X2)) >= U85(X1,X2) ; U85(X1,active(X2)) >= U85(X1,X2) ; U86(mark(X)) >= U86(X) ; U86(active(X)) >= U86(X) ; U92(mark(X1),X2,X3) >= U92(X1,X2,X3) ; U92(active(X1),X2,X3) >= U92(X1,X2,X3) ; U92(X1,mark(X2),X3) >= U92(X1,X2,X3) ; U92(X1,active(X2),X3) >= U92(X1,X2,X3) ; U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) ; U92(X1,X2,active(X3)) >= U92(X1,X2,X3) ; U91(mark(X1),X2,X3) >= U91(X1,X2,X3) ; U91(active(X1),X2,X3) >= U91(X1,X2,X3) ; U91(X1,mark(X2),X3) >= U91(X1,X2,X3) ; U91(X1,active(X2),X3) >= U91(X1,X2,X3) ; U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) ; U91(X1,X2,active(X3)) >= U91(X1,X2,X3) ; U93(mark(X1),X2,X3) >= U93(X1,X2,X3) ; U93(active(X1),X2,X3) >= U93(X1,X2,X3) ; U93(X1,mark(X2),X3) >= U93(X1,X2,X3) ; U93(X1,active(X2),X3) >= U93(X1,X2,X3) ; U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) ; U93(X1,X2,active(X3)) >= U93(X1,X2,X3) ; U94(mark(X1),X2) >= U94(X1,X2) ; U94(active(X1),X2) >= U94(X1,X2) ; U94(X1,mark(X2)) >= U94(X1,X2) ; U94(X1,active(X2)) >= U94(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) ; Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) ; Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) ; Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) ; Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) ; Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark(U51(isNatKind(V1), V2)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81(isNatKind(V1),V1,V2)) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) ; Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) ; Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) ; Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1),V1,V2)) ; Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) ; Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNatKind(V1), V1,V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V),V)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) ; Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1),V1,V2)) ; Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) ; Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) ; Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) ; Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L),L,N)) ; Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) ; Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_active(U12(mark(X1),X2)) ; } { Marked_mark(isNatIListKind(X)) > Marked_active(isNatIListKind(X)) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_active(U32(mark(X1),X2)) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2)) > Marked_active(U31(mark(X1),X2)) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_active(U42(mark(X1),X2,X3)) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_active(U43(mark(X1),X2,X3)) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_active(U44(mark(X1),X2,X3)) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_active(U45(mark(X1),X2)) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_active(U85(mark(X1),X2)) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_active(U92(mark(X1),X2,X3)) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_active(U91(mark(X1),X2,X3)) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_active(U93(mark(X1),X2,X3)) ; } { Marked_mark(U94(X1,X2)) > Marked_active(U94(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(U12(tt,V1)) > Marked_mark(U13(isNatList(V1))) ; } { Marked_active(isNatIListKind(cons(V1,V2))) > Marked_mark(U51(isNatKind(V1), V2)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U81(isNatKind(V1),V1,V2)) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U71(isNatKind(V1))) ; } { Marked_active(isNatKind(length(V1))) > Marked_mark(U61(isNatIListKind(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V)) > Marked_mark(U33(isNatList(V))) ; } { Marked_active(U31(tt,V)) > Marked_mark(U32(isNatIListKind(V),V)) ; } { Marked_active(U42(tt,V1,V2)) > Marked_mark(U43(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U41(tt,V1,V2)) > Marked_mark(U42(isNatKind(V1),V1,V2)) ; } { Marked_active(U43(tt,V1,V2)) > Marked_mark(U44(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U44(tt,V1,V2)) > Marked_mark(U45(isNat(V1),V2)) ; } { Marked_active(U45(tt,V2)) > Marked_mark(U46(isNatIList(V2))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNatKind(V1),V1,V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatIListKind(V),V)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatIListKind(V2))) ; } { Marked_active(U82(tt,V1,V2)) > Marked_mark(U83(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U81(tt,V1,V2)) > Marked_mark(U82(isNatKind(V1),V1,V2)) ; } { Marked_active(U83(tt,V1,V2)) > Marked_mark(U84(isNatIListKind(V2),V1,V2)) ; } { Marked_active(U84(tt,V1,V2)) > Marked_mark(U85(isNat(V1),V2)) ; } { Marked_active(U85(tt,V2)) > Marked_mark(U86(isNatList(V2))) ; } { Marked_active(U92(tt,L,N)) > Marked_mark(U93(isNat(N),L,N)) ; } { Marked_active(U91(tt,L,N)) > Marked_mark(U92(isNatIListKind(L),L,N)) ; } { Marked_active(U93(tt,L,N)) > Marked_mark(U94(isNatKind(N),L)) ; } { Marked_active(U94(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U91(isNatList(L),L,N)) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U13(X)) >= active(U13(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U33(X)) >= active(U33(mark(X))) constraint: mark(U42(X1,X2,X3)) >= active(U42(mark(X1),X2,X3)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X1,X2,X3)) >= active(U43(mark(X1),X2,X3)) constraint: mark(U44(X1,X2,X3)) >= active(U44(mark(X1),X2,X3)) constraint: mark(U45(X1,X2)) >= active(U45(mark(X1),X2)) constraint: mark(U46(X)) >= active(U46(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U61(X)) >= active(U61(mark(X))) constraint: mark(U71(X)) >= active(U71(mark(X))) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(U85(X1,X2)) >= active(U85(mark(X1),X2)) constraint: mark(U86(X)) >= active(U86(mark(X))) constraint: mark(U92(X1,X2,X3)) >= active(U92(mark(X1),X2,X3)) constraint: mark(U91(X1,X2,X3)) >= active(U91(mark(X1),X2,X3)) constraint: mark(U93(X1,X2,X3)) >= active(U93(mark(X1),X2,X3)) constraint: mark(U94(X1,X2)) >= active(U94(mark(X1),X2)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt,V1)) >= mark(U13(isNatList(V1))) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(U51(isNatKind(V1),V2)) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatIListKind(V1),V1)) constraint: active(U13(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U81(isNatKind(V1),V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(U71(isNatKind(V1))) constraint: active(isNatKind(length(V1))) >= mark(U61(isNatIListKind(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U32(tt,V)) >= mark(U33(isNatList(V))) constraint: active(U31(tt,V)) >= mark(U32(isNatIListKind(V),V)) constraint: active(U33(tt)) >= mark(tt) constraint: active(U42(tt,V1,V2)) >= mark(U43(isNatIListKind(V2),V1,V2)) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNatKind(V1),V1,V2)) constraint: active(U43(tt,V1,V2)) >= mark(U44(isNatIListKind(V2),V1,V2)) constraint: active(U44(tt,V1,V2)) >= mark(U45(isNat(V1),V2)) constraint: active(U45(tt,V2)) >= mark(U46(isNatIList(V2))) constraint: active(U46(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNatKind(V1),V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatIListKind(V2))) constraint: active(U61(tt)) >= mark(tt) constraint: active(U71(tt)) >= mark(tt) constraint: active(U82(tt,V1,V2)) >= mark(U83(isNatIListKind(V2),V1,V2)) constraint: active(U81(tt,V1,V2)) >= mark(U82(isNatKind(V1),V1,V2)) constraint: active(U83(tt,V1,V2)) >= mark(U84(isNatIListKind(V2),V1,V2)) constraint: active(U84(tt,V1,V2)) >= mark(U85(isNat(V1),V2)) constraint: active(U85(tt,V2)) >= mark(U86(isNatList(V2))) constraint: active(U86(tt)) >= mark(tt) constraint: active(U92(tt,L,N)) >= mark(U93(isNat(N),L,N)) constraint: active(U91(tt,L,N)) >= mark(U92(isNatIListKind(L),L,N)) constraint: active(U93(tt,L,N)) >= mark(U94(isNatKind(N),L)) constraint: active(U94(tt,L)) >= mark(s(length(L))) constraint: active(length(cons(N,L))) >= mark(U91(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U12(mark(X1),X2) >= U12(X1,X2) constraint: U12(active(X1),X2) >= U12(X1,X2) constraint: U12(X1,mark(X2)) >= U12(X1,X2) constraint: U12(X1,active(X2)) >= U12(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U13(mark(X)) >= U13(X) constraint: U13(active(X)) >= U13(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U32(mark(X1),X2) >= U32(X1,X2) constraint: U32(active(X1),X2) >= U32(X1,X2) constraint: U32(X1,mark(X2)) >= U32(X1,X2) constraint: U32(X1,active(X2)) >= U32(X1,X2) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U33(mark(X)) >= U33(X) constraint: U33(active(X)) >= U33(X) constraint: U42(mark(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(active(X1),X2,X3) >= U42(X1,X2,X3) constraint: U42(X1,mark(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,active(X2),X3) >= U42(X1,X2,X3) constraint: U42(X1,X2,mark(X3)) >= U42(X1,X2,X3) constraint: U42(X1,X2,active(X3)) >= U42(X1,X2,X3) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(active(X1),X2,X3) >= U43(X1,X2,X3) constraint: U43(X1,mark(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,active(X2),X3) >= U43(X1,X2,X3) constraint: U43(X1,X2,mark(X3)) >= U43(X1,X2,X3) constraint: U43(X1,X2,active(X3)) >= U43(X1,X2,X3) constraint: U44(mark(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(active(X1),X2,X3) >= U44(X1,X2,X3) constraint: U44(X1,mark(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,active(X2),X3) >= U44(X1,X2,X3) constraint: U44(X1,X2,mark(X3)) >= U44(X1,X2,X3) constraint: U44(X1,X2,active(X3)) >= U44(X1,X2,X3) constraint: U45(mark(X1),X2) >= U45(X1,X2) constraint: U45(active(X1),X2) >= U45(X1,X2) constraint: U45(X1,mark(X2)) >= U45(X1,X2) constraint: U45(X1,active(X2)) >= U45(X1,X2) constraint: U46(mark(X)) >= U46(X) constraint: U46(active(X)) >= U46(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U61(mark(X)) >= U61(X) constraint: U61(active(X)) >= U61(X) constraint: U71(mark(X)) >= U71(X) constraint: U71(active(X)) >= U71(X) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: U85(mark(X1),X2) >= U85(X1,X2) constraint: U85(active(X1),X2) >= U85(X1,X2) constraint: U85(X1,mark(X2)) >= U85(X1,X2) constraint: U85(X1,active(X2)) >= U85(X1,X2) constraint: U86(mark(X)) >= U86(X) constraint: U86(active(X)) >= U86(X) constraint: U92(mark(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(active(X1),X2,X3) >= U92(X1,X2,X3) constraint: U92(X1,mark(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,active(X2),X3) >= U92(X1,X2,X3) constraint: U92(X1,X2,mark(X3)) >= U92(X1,X2,X3) constraint: U92(X1,X2,active(X3)) >= U92(X1,X2,X3) constraint: U91(mark(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(active(X1),X2,X3) >= U91(X1,X2,X3) constraint: U91(X1,mark(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,active(X2),X3) >= U91(X1,X2,X3) constraint: U91(X1,X2,mark(X3)) >= U91(X1,X2,X3) constraint: U91(X1,X2,active(X3)) >= U91(X1,X2,X3) constraint: U93(mark(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(active(X1),X2,X3) >= U93(X1,X2,X3) constraint: U93(X1,mark(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,active(X2),X3) >= U93(X1,X2,X3) constraint: U93(X1,X2,mark(X3)) >= U93(X1,X2,X3) constraint: U93(X1,X2,active(X3)) >= U93(X1,X2,X3) constraint: U94(mark(X1),X2) >= U94(X1,X2) constraint: U94(active(X1),X2) >= U94(X1,X2) constraint: U94(X1,mark(X2)) >= U94(X1,X2) constraint: U94(X1,active(X2)) >= U94(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) constraint: Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_active(U42(mark(X1),X2,X3)) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_active(U43(mark(X1),X2,X3)) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_active(U44(mark(X1),X2,X3)) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_active(U45(mark(X1),X2)) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U61(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_active(U85(mark(X1),X2)) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_active(U92(mark(X1),X2,X3)) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_active(U91(mark(X1),X2,X3)) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_active(U93(mark(X1),X2,X3)) constraint: Marked_mark(U94(X1,X2)) >= Marked_active(U94(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(U12(tt,V1)) >= Marked_mark(U13(isNatList(V1))) constraint: Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark( U51(isNatKind(V1), V2)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U81( isNatKind( V1), V1, V2)) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U71(isNatKind(V1))) constraint: Marked_active(isNatKind(length(V1))) >= Marked_mark(U61(isNatIListKind( V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(U32(tt,V)) >= Marked_mark(U33(isNatList(V))) constraint: Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatIListKind(V),V)) constraint: Marked_active(U42(tt,V1,V2)) >= Marked_mark(U43(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNatKind(V1), V1,V2)) constraint: Marked_active(U43(tt,V1,V2)) >= Marked_mark(U44(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U44(tt,V1,V2)) >= Marked_mark(U45(isNat(V1),V2)) constraint: Marked_active(U45(tt,V2)) >= Marked_mark(U46(isNatIList(V2))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V1, V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V), V)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatIListKind(V2))) constraint: Marked_active(U82(tt,V1,V2)) >= Marked_mark(U83(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U81(tt,V1,V2)) >= Marked_mark(U82(isNatKind(V1), V1,V2)) constraint: Marked_active(U83(tt,V1,V2)) >= Marked_mark(U84(isNatIListKind(V2), V1,V2)) constraint: Marked_active(U84(tt,V1,V2)) >= Marked_mark(U85(isNat(V1),V2)) constraint: Marked_active(U85(tt,V2)) >= Marked_mark(U86(isNatList(V2))) constraint: Marked_active(U92(tt,L,N)) >= Marked_mark(U93(isNat(N),L,N)) constraint: Marked_active(U91(tt,L,N)) >= Marked_mark(U92(isNatIListKind(L), L,N)) constraint: Marked_active(U93(tt,L,N)) >= Marked_mark(U94(isNatKind(N),L)) constraint: Marked_active(U94(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U91(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> -->