- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] a__zeros -> cons(0,zeros) [2] a__U101(tt,V1,V2) -> a__U102(a__isNatKind(V1),V1,V2) [3] a__U102(tt,V1,V2) -> a__U103(a__isNatIListKind(V2),V1,V2) [4] a__U103(tt,V1,V2) -> a__U104(a__isNatIListKind(V2),V1,V2) [5] a__U104(tt,V1,V2) -> a__U105(a__isNat(V1),V2) [6] a__U105(tt,V2) -> a__U106(a__isNatIList(V2)) [7] a__U106(tt) -> tt [8] a__U11(tt,V1) -> a__U12(a__isNatIListKind(V1),V1) [9] a__U111(tt,L,N) -> a__U112(a__isNatIListKind(L),L,N) [10] a__U112(tt,L,N) -> a__U113(a__isNat(N),L,N) [11] a__U113(tt,L,N) -> a__U114(a__isNatKind(N),L) [12] a__U114(tt,L) -> s(a__length(mark(L))) [13] a__U12(tt,V1) -> a__U13(a__isNatList(V1)) [14] a__U121(tt,IL) -> a__U122(a__isNatIListKind(IL)) [15] a__U122(tt) -> nil [16] a__U13(tt) -> tt [17] a__U131(tt,IL,M,N) -> a__U132(a__isNatIListKind(IL),IL,M,N) [18] a__U132(tt,IL,M,N) -> a__U133(a__isNat(M),IL,M,N) [19] a__U133(tt,IL,M,N) -> a__U134(a__isNatKind(M),IL,M,N) [20] a__U134(tt,IL,M,N) -> a__U135(a__isNat(N),IL,M,N) [21] a__U135(tt,IL,M,N) -> a__U136(a__isNatKind(N),IL,M,N) [22] a__U136(tt,IL,M,N) -> cons(mark(N),take(M,IL)) [23] a__U21(tt,V1) -> a__U22(a__isNatKind(V1),V1) [24] a__U22(tt,V1) -> a__U23(a__isNat(V1)) [25] a__U23(tt) -> tt [26] a__U31(tt,V) -> a__U32(a__isNatIListKind(V),V) [27] a__U32(tt,V) -> a__U33(a__isNatList(V)) [28] a__U33(tt) -> tt [29] a__U41(tt,V1,V2) -> a__U42(a__isNatKind(V1),V1,V2) [30] a__U42(tt,V1,V2) -> a__U43(a__isNatIListKind(V2),V1,V2) [31] a__U43(tt,V1,V2) -> a__U44(a__isNatIListKind(V2),V1,V2) [32] a__U44(tt,V1,V2) -> a__U45(a__isNat(V1),V2) [33] a__U45(tt,V2) -> a__U46(a__isNatIList(V2)) [34] a__U46(tt) -> tt [35] a__U51(tt,V2) -> a__U52(a__isNatIListKind(V2)) [36] a__U52(tt) -> tt [37] a__U61(tt,V2) -> a__U62(a__isNatIListKind(V2)) [38] a__U62(tt) -> tt [39] a__U71(tt) -> tt [40] a__U81(tt) -> tt [41] a__U91(tt,V1,V2) -> a__U92(a__isNatKind(V1),V1,V2) [42] a__U92(tt,V1,V2) -> a__U93(a__isNatIListKind(V2),V1,V2) [43] a__U93(tt,V1,V2) -> a__U94(a__isNatIListKind(V2),V1,V2) [44] a__U94(tt,V1,V2) -> a__U95(a__isNat(V1),V2) [45] a__U95(tt,V2) -> a__U96(a__isNatList(V2)) [46] a__U96(tt) -> tt [47] a__isNat(0) -> tt [48] a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1),V1) [49] a__isNat(s(V1)) -> a__U21(a__isNatKind(V1),V1) [50] a__isNatIList(V) -> a__U31(a__isNatIListKind(V),V) [51] a__isNatIList(zeros) -> tt [52] a__isNatIList(cons(V1,V2)) -> a__U41(a__isNatKind(V1),V1,V2) [53] a__isNatIListKind(nil) -> tt [54] a__isNatIListKind(zeros) -> tt [55] a__isNatIListKind(cons(V1,V2)) -> a__U51(a__isNatKind(V1),V2) [56] a__isNatIListKind(take(V1,V2)) -> a__U61(a__isNatKind(V1),V2) [57] a__isNatKind(0) -> tt [58] a__isNatKind(length(V1)) -> a__U71(a__isNatIListKind(V1)) [59] a__isNatKind(s(V1)) -> a__U81(a__isNatKind(V1)) [60] a__isNatList(nil) -> tt [61] a__isNatList(cons(V1,V2)) -> a__U91(a__isNatKind(V1),V1,V2) [62] a__isNatList(take(V1,V2)) -> a__U101(a__isNatKind(V1),V1,V2) [63] a__length(nil) -> 0 [64] a__length(cons(N,L)) -> a__U111(a__isNatList(L),L,N) [65] a__take(0,IL) -> a__U121(a__isNatIList(IL),IL) [66] a__take(s(M),cons(N,IL)) -> a__U131(a__isNatIList(IL),IL,M,N) [67] mark(zeros) -> a__zeros [68] mark(U101(X1,X2,X3)) -> a__U101(mark(X1),X2,X3) [69] mark(U102(X1,X2,X3)) -> a__U102(mark(X1),X2,X3) [70] mark(isNatKind(X)) -> a__isNatKind(X) [71] mark(U103(X1,X2,X3)) -> a__U103(mark(X1),X2,X3) [72] mark(isNatIListKind(X)) -> a__isNatIListKind(X) [73] mark(U104(X1,X2,X3)) -> a__U104(mark(X1),X2,X3) [74] mark(U105(X1,X2)) -> a__U105(mark(X1),X2) [75] mark(isNat(X)) -> a__isNat(X) [76] mark(U106(X)) -> a__U106(mark(X)) [77] mark(isNatIList(X)) -> a__isNatIList(X) [78] mark(U11(X1,X2)) -> a__U11(mark(X1),X2) [79] mark(U12(X1,X2)) -> a__U12(mark(X1),X2) [80] mark(U111(X1,X2,X3)) -> a__U111(mark(X1),X2,X3) [81] mark(U112(X1,X2,X3)) -> a__U112(mark(X1),X2,X3) [82] mark(U113(X1,X2,X3)) -> a__U113(mark(X1),X2,X3) [83] mark(U114(X1,X2)) -> a__U114(mark(X1),X2) [84] mark(length(X)) -> a__length(mark(X)) [85] mark(U13(X)) -> a__U13(mark(X)) [86] mark(isNatList(X)) -> a__isNatList(X) [87] mark(U121(X1,X2)) -> a__U121(mark(X1),X2) [88] mark(U122(X)) -> a__U122(mark(X)) [89] mark(U131(X1,X2,X3,X4)) -> a__U131(mark(X1),X2,X3,X4) [90] mark(U132(X1,X2,X3,X4)) -> a__U132(mark(X1),X2,X3,X4) [91] mark(U133(X1,X2,X3,X4)) -> a__U133(mark(X1),X2,X3,X4) [92] mark(U134(X1,X2,X3,X4)) -> a__U134(mark(X1),X2,X3,X4) [93] mark(U135(X1,X2,X3,X4)) -> a__U135(mark(X1),X2,X3,X4) [94] mark(U136(X1,X2,X3,X4)) -> a__U136(mark(X1),X2,X3,X4) [95] mark(take(X1,X2)) -> a__take(mark(X1),mark(X2)) [96] mark(U21(X1,X2)) -> a__U21(mark(X1),X2) [97] mark(U22(X1,X2)) -> a__U22(mark(X1),X2) [98] mark(U23(X)) -> a__U23(mark(X)) [99] mark(U31(X1,X2)) -> a__U31(mark(X1),X2) [100] mark(U32(X1,X2)) -> a__U32(mark(X1),X2) [101] mark(U33(X)) -> a__U33(mark(X)) [102] mark(U41(X1,X2,X3)) -> a__U41(mark(X1),X2,X3) [103] mark(U42(X1,X2,X3)) -> a__U42(mark(X1),X2,X3) [104] mark(U43(X1,X2,X3)) -> a__U43(mark(X1),X2,X3) [105] mark(U44(X1,X2,X3)) -> a__U44(mark(X1),X2,X3) [106] mark(U45(X1,X2)) -> a__U45(mark(X1),X2) [107] mark(U46(X)) -> a__U46(mark(X)) [108] mark(U51(X1,X2)) -> a__U51(mark(X1),X2) [109] mark(U52(X)) -> a__U52(mark(X)) [110] mark(U61(X1,X2)) -> a__U61(mark(X1),X2) [111] mark(U62(X)) -> a__U62(mark(X)) [112] mark(U71(X)) -> a__U71(mark(X)) [113] mark(U81(X)) -> a__U81(mark(X)) [114] mark(U91(X1,X2,X3)) -> a__U91(mark(X1),X2,X3) [115] mark(U92(X1,X2,X3)) -> a__U92(mark(X1),X2,X3) [116] mark(U93(X1,X2,X3)) -> a__U93(mark(X1),X2,X3) [117] mark(U94(X1,X2,X3)) -> a__U94(mark(X1),X2,X3) [118] mark(U95(X1,X2)) -> a__U95(mark(X1),X2) [119] mark(U96(X)) -> a__U96(mark(X)) [120] mark(cons(X1,X2)) -> cons(mark(X1),X2) [121] mark(0) -> 0 [122] mark(tt) -> tt [123] mark(s(X)) -> s(mark(X)) [124] mark(nil) -> nil [125] a__zeros -> zeros [126] a__U101(X1,X2,X3) -> U101(X1,X2,X3) [127] a__U102(X1,X2,X3) -> U102(X1,X2,X3) [128] a__isNatKind(X) -> isNatKind(X) [129] a__U103(X1,X2,X3) -> U103(X1,X2,X3) [130] a__isNatIListKind(X) -> isNatIListKind(X) [131] a__U104(X1,X2,X3) -> U104(X1,X2,X3) [132] a__U105(X1,X2) -> U105(X1,X2) [133] a__isNat(X) -> isNat(X) [134] a__U106(X) -> U106(X) [135] a__isNatIList(X) -> isNatIList(X) [136] a__U11(X1,X2) -> U11(X1,X2) [137] a__U12(X1,X2) -> U12(X1,X2) [138] a__U111(X1,X2,X3) -> U111(X1,X2,X3) [139] a__U112(X1,X2,X3) -> U112(X1,X2,X3) [140] a__U113(X1,X2,X3) -> U113(X1,X2,X3) [141] a__U114(X1,X2) -> U114(X1,X2) [142] a__length(X) -> length(X) [143] a__U13(X) -> U13(X) [144] a__isNatList(X) -> isNatList(X) [145] a__U121(X1,X2) -> U121(X1,X2) [146] a__U122(X) -> U122(X) [147] a__U131(X1,X2,X3,X4) -> U131(X1,X2,X3,X4) [148] a__U132(X1,X2,X3,X4) -> U132(X1,X2,X3,X4) [149] a__U133(X1,X2,X3,X4) -> U133(X1,X2,X3,X4) [150] a__U134(X1,X2,X3,X4) -> U134(X1,X2,X3,X4) [151] a__U135(X1,X2,X3,X4) -> U135(X1,X2,X3,X4) [152] a__U136(X1,X2,X3,X4) -> U136(X1,X2,X3,X4) [153] a__take(X1,X2) -> take(X1,X2) [154] a__U21(X1,X2) -> U21(X1,X2) [155] a__U22(X1,X2) -> U22(X1,X2) [156] a__U23(X) -> U23(X) [157] a__U31(X1,X2) -> U31(X1,X2) [158] a__U32(X1,X2) -> U32(X1,X2) [159] a__U33(X) -> U33(X) [160] a__U41(X1,X2,X3) -> U41(X1,X2,X3) [161] a__U42(X1,X2,X3) -> U42(X1,X2,X3) [162] a__U43(X1,X2,X3) -> U43(X1,X2,X3) [163] a__U44(X1,X2,X3) -> U44(X1,X2,X3) [164] a__U45(X1,X2) -> U45(X1,X2) [165] a__U46(X) -> U46(X) [166] a__U51(X1,X2) -> U51(X1,X2) [167] a__U52(X) -> U52(X) [168] a__U61(X1,X2) -> U61(X1,X2) [169] a__U62(X) -> U62(X) [170] a__U71(X) -> U71(X) [171] a__U81(X) -> U81(X) [172] a__U91(X1,X2,X3) -> U91(X1,X2,X3) [173] a__U92(X1,X2,X3) -> U92(X1,X2,X3) [174] a__U93(X1,X2,X3) -> U93(X1,X2,X3) [175] a__U94(X1,X2,X3) -> U94(X1,X2,X3) [176] a__U95(X1,X2) -> U95(X1,X2) [177] a__U96(X) -> U96(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U102(tt,V1,V2) >= a__U103(a__isNatIListKind(V2),V1,V2) ; a__U102(X1,X2,X3) >= U102(X1,X2,X3) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U81(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U71(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; a__U101(tt,V1,V2) >= a__U102(a__isNatKind(V1),V1,V2) ; a__U101(X1,X2,X3) >= U101(X1,X2,X3) ; a__U103(tt,V1,V2) >= a__U104(a__isNatIListKind(V2),V1,V2) ; a__U103(X1,X2,X3) >= U103(X1,X2,X3) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(take(V1,V2)) >= a__U61(a__isNatKind(V1),V2) ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U104(tt,V1,V2) >= a__U105(a__isNat(V1),V2) ; a__U104(X1,X2,X3) >= U104(X1,X2,X3) ; a__U105(tt,V2) >= a__U106(a__isNatIList(V2)) ; a__U105(X1,X2) >= U105(X1,X2) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U106(tt) >= tt ; a__U106(X) >= U106(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__isNatKind(V1),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U112(tt,L,N) >= a__U113(a__isNat(N),L,N) ; a__U112(X1,X2,X3) >= U112(X1,X2,X3) ; a__U111(tt,L,N) >= a__U112(a__isNatIListKind(L),L,N) ; a__U111(X1,X2,X3) >= U111(X1,X2,X3) ; a__U113(tt,L,N) >= a__U114(a__isNatKind(N),L) ; a__U113(X1,X2,X3) >= U113(X1,X2,X3) ; a__U114(tt,L) >= s(a__length(mark(L))) ; a__U114(X1,X2) >= U114(X1,X2) ; a__length(cons(N,L)) >= a__U111(a__isNatList(L),L,N) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(nil) >= nil ; mark(take(X1,X2)) >= a__take(mark(X1),mark(X2)) ; mark(length(X)) >= a__length(mark(X)) ; mark(U101(X1,X2,X3)) >= a__U101(mark(X1),X2,X3) ; mark(U102(X1,X2,X3)) >= a__U102(mark(X1),X2,X3) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U103(X1,X2,X3)) >= a__U103(mark(X1),X2,X3) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U104(X1,X2,X3)) >= a__U104(mark(X1),X2,X3) ; mark(U105(X1,X2)) >= a__U105(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(U106(X)) >= a__U106(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(U111(X1,X2,X3)) >= a__U111(mark(X1),X2,X3) ; mark(U112(X1,X2,X3)) >= a__U112(mark(X1),X2,X3) ; mark(U113(X1,X2,X3)) >= a__U113(mark(X1),X2,X3) ; mark(U114(X1,X2)) >= a__U114(mark(X1),X2) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U121(X1,X2)) >= a__U121(mark(X1),X2) ; mark(U122(X)) >= a__U122(mark(X)) ; mark(U131(X1,X2,X3,X4)) >= a__U131(mark(X1),X2,X3,X4) ; mark(U132(X1,X2,X3,X4)) >= a__U132(mark(X1),X2,X3,X4) ; mark(U133(X1,X2,X3,X4)) >= a__U133(mark(X1),X2,X3,X4) ; mark(U134(X1,X2,X3,X4)) >= a__U134(mark(X1),X2,X3,X4) ; mark(U135(X1,X2,X3,X4)) >= a__U135(mark(X1),X2,X3,X4) ; mark(U136(X1,X2,X3,X4)) >= a__U136(mark(X1),X2,X3,X4) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X1,X2)) >= a__U32(mark(X1),X2) ; mark(U33(X)) >= a__U33(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2,X3)) >= a__U42(mark(X1),X2,X3) ; mark(U43(X1,X2,X3)) >= a__U43(mark(X1),X2,X3) ; mark(U44(X1,X2,X3)) >= a__U44(mark(X1),X2,X3) ; mark(U45(X1,X2)) >= a__U45(mark(X1),X2) ; mark(U46(X)) >= a__U46(mark(X)) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; mark(U62(X)) >= a__U62(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X)) >= a__U81(mark(X)) ; mark(U91(X1,X2,X3)) >= a__U91(mark(X1),X2,X3) ; mark(U92(X1,X2,X3)) >= a__U92(mark(X1),X2,X3) ; mark(U93(X1,X2,X3)) >= a__U93(mark(X1),X2,X3) ; mark(U94(X1,X2,X3)) >= a__U94(mark(X1),X2,X3) ; mark(U95(X1,X2)) >= a__U95(mark(X1),X2) ; mark(U96(X)) >= a__U96(mark(X)) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U91(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(take(V1,V2)) >= a__U101(a__isNatKind(V1),V1,V2) ; a__isNatList(X) >= isNatList(X) ; a__U122(tt) >= nil ; a__U122(X) >= U122(X) ; a__U121(tt,IL) >= a__U122(a__isNatIListKind(IL)) ; a__U121(X1,X2) >= U121(X1,X2) ; a__U132(tt,IL,M,N) >= a__U133(a__isNat(M),IL,M,N) ; a__U132(X1,X2,X3,X4) >= U132(X1,X2,X3,X4) ; a__U131(tt,IL,M,N) >= a__U132(a__isNatIListKind(IL),IL,M,N) ; a__U131(X1,X2,X3,X4) >= U131(X1,X2,X3,X4) ; a__U133(tt,IL,M,N) >= a__U134(a__isNatKind(M),IL,M,N) ; a__U133(X1,X2,X3,X4) >= U133(X1,X2,X3,X4) ; a__U134(tt,IL,M,N) >= a__U135(a__isNat(N),IL,M,N) ; a__U134(X1,X2,X3,X4) >= U134(X1,X2,X3,X4) ; a__U135(tt,IL,M,N) >= a__U136(a__isNatKind(N),IL,M,N) ; a__U135(X1,X2,X3,X4) >= U135(X1,X2,X3,X4) ; a__U136(tt,IL,M,N) >= cons(mark(N),take(M,IL)) ; a__U136(X1,X2,X3,X4) >= U136(X1,X2,X3,X4) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__U21(tt,V1) >= a__U22(a__isNatKind(V1),V1) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U23(tt) >= tt ; a__U23(X) >= U23(X) ; a__U32(tt,V) >= a__U33(a__isNatList(V)) ; a__U32(X1,X2) >= U32(X1,X2) ; a__U31(tt,V) >= a__U32(a__isNatIListKind(V),V) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U33(tt) >= tt ; a__U33(X) >= U33(X) ; a__U42(tt,V1,V2) >= a__U43(a__isNatIListKind(V2),V1,V2) ; a__U42(X1,X2,X3) >= U42(X1,X2,X3) ; a__U41(tt,V1,V2) >= a__U42(a__isNatKind(V1),V1,V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt,V1,V2) >= a__U44(a__isNatIListKind(V2),V1,V2) ; a__U43(X1,X2,X3) >= U43(X1,X2,X3) ; a__U44(tt,V1,V2) >= a__U45(a__isNat(V1),V2) ; a__U44(X1,X2,X3) >= U44(X1,X2,X3) ; a__U45(tt,V2) >= a__U46(a__isNatIList(V2)) ; a__U45(X1,X2) >= U45(X1,X2) ; a__U46(tt) >= tt ; a__U46(X) >= U46(X) ; a__U52(tt) >= tt ; a__U52(X) >= U52(X) ; a__U51(tt,V2) >= a__U52(a__isNatIListKind(V2)) ; a__U51(X1,X2) >= U51(X1,X2) ; a__U62(tt) >= tt ; a__U62(X) >= U62(X) ; a__U61(tt,V2) >= a__U62(a__isNatIListKind(V2)) ; a__U61(X1,X2) >= U61(X1,X2) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U81(tt) >= tt ; a__U81(X) >= U81(X) ; a__U92(tt,V1,V2) >= a__U93(a__isNatIListKind(V2),V1,V2) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,V1,V2) >= a__U92(a__isNatKind(V1),V1,V2) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,V1,V2) >= a__U94(a__isNatIListKind(V2),V1,V2) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,V1,V2) >= a__U95(a__isNat(V1),V2) ; a__U94(X1,X2,X3) >= U94(X1,X2,X3) ; a__U95(tt,V2) >= a__U96(a__isNatList(V2)) ; a__U95(X1,X2) >= U95(X1,X2) ; a__U96(tt) >= tt ; a__U96(X) >= U96(X) ; a__take(0,IL) >= a__U121(a__isNatIList(IL),IL) ; a__take(s(M),cons(N,IL)) >= a__U131(a__isNatIList(IL),IL,M,N) ; a__take(X1,X2) >= take(X1,X2) ; Marked_a__take(s(M),cons(N,IL)) >= Marked_a__U131(a__isNatIList(IL),IL,M,N) ; Marked_a__U136(tt,IL,M,N) >= Marked_mark(N) ; Marked_a__U135(tt,IL,M,N) >= Marked_a__U136(a__isNatKind(N),IL,M,N) ; Marked_a__U134(tt,IL,M,N) >= Marked_a__U135(a__isNat(N),IL,M,N) ; Marked_a__U133(tt,IL,M,N) >= Marked_a__U134(a__isNatKind(M),IL,M,N) ; Marked_a__U132(tt,IL,M,N) >= Marked_a__U133(a__isNat(M),IL,M,N) ; Marked_a__U131(tt,IL,M,N) >= Marked_a__U132(a__isNatIListKind(IL),IL,M,N) ; Marked_a__length(cons(N,L)) >= Marked_a__U111(a__isNatList(L),L,N) ; Marked_a__U114(tt,L) >= Marked_a__length(mark(L)) ; Marked_a__U114(tt,L) >= Marked_mark(L) ; Marked_a__U113(tt,L,N) >= Marked_a__U114(a__isNatKind(N),L) ; Marked_a__U112(tt,L,N) >= Marked_a__U113(a__isNat(N),L,N) ; Marked_a__U111(tt,L,N) >= Marked_a__U112(a__isNatIListKind(L),L,N) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(take(X1,X2)) >= Marked_a__take(mark(X1),mark(X2)) ; Marked_mark(take(X1,X2)) >= Marked_mark(X1) ; Marked_mark(take(X1,X2)) >= Marked_mark(X2) ; Marked_mark(length(X)) >= Marked_a__length(mark(X)) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U105(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U106(X)) >= Marked_mark(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U111(X1,X2,X3)) >= Marked_a__U111(mark(X1),X2,X3) ; Marked_mark(U111(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U112(X1,X2,X3)) >= Marked_a__U112(mark(X1),X2,X3) ; Marked_mark(U112(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U113(X1,X2,X3)) >= Marked_a__U113(mark(X1),X2,X3) ; Marked_mark(U113(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U114(X1,X2)) >= Marked_a__U114(mark(X1),X2) ; Marked_mark(U114(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(U121(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U122(X)) >= Marked_mark(X) ; Marked_mark(U131(X1,X2,X3,X4)) >= Marked_a__U131(mark(X1),X2,X3,X4) ; Marked_mark(U131(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U132(X1,X2,X3,X4)) >= Marked_a__U132(mark(X1),X2,X3,X4) ; Marked_mark(U132(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U133(X1,X2,X3,X4)) >= Marked_a__U133(mark(X1),X2,X3,X4) ; Marked_mark(U133(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U134(X1,X2,X3,X4)) >= Marked_a__U134(mark(X1),X2,X3,X4) ; Marked_mark(U134(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U135(X1,X2,X3,X4)) >= Marked_a__U135(mark(X1),X2,X3,X4) ; Marked_mark(U135(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U136(X1,X2,X3,X4)) >= Marked_a__U136(mark(X1),X2,X3,X4) ; Marked_mark(U136(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U62(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U95(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U96(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__take(s(M),cons(N,IL)) > Marked_a__U131(a__isNatIList(IL),IL,M,N) ; } { Marked_a__U136(tt,IL,M,N) > Marked_mark(N) ; } { Marked_a__U135(tt,IL,M,N) > Marked_a__U136(a__isNatKind(N),IL,M,N) ; } { Marked_a__U134(tt,IL,M,N) > Marked_a__U135(a__isNat(N),IL,M,N) ; } { Marked_a__U133(tt,IL,M,N) > Marked_a__U134(a__isNatKind(M),IL,M,N) ; } { Marked_a__U132(tt,IL,M,N) > Marked_a__U133(a__isNat(M),IL,M,N) ; } { Marked_a__U131(tt,IL,M,N) > Marked_a__U132(a__isNatIListKind(IL),IL,M,N) ; } { Marked_a__length(cons(N,L)) > Marked_a__U111(a__isNatList(L),L,N) ; } { Marked_a__U114(tt,L) > Marked_a__length(mark(L)) ; } { Marked_a__U114(tt,L) > Marked_mark(L) ; } { Marked_a__U113(tt,L,N) > Marked_a__U114(a__isNatKind(N),L) ; } { Marked_a__U112(tt,L,N) > Marked_a__U113(a__isNat(N),L,N) ; } { Marked_a__U111(tt,L,N) > Marked_a__U112(a__isNatIListKind(L),L,N) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(take(X1,X2)) > Marked_a__take(mark(X1),mark(X2)) ; } { Marked_mark(take(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(take(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(length(X)) > Marked_a__length(mark(X)) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U102(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U105(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U106(X)) > Marked_mark(X) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U111(X1,X2,X3)) > Marked_a__U111(mark(X1),X2,X3) ; } { Marked_mark(U111(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U112(X1,X2,X3)) > Marked_a__U112(mark(X1),X2,X3) ; } { Marked_mark(U112(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U113(X1,X2,X3)) > Marked_a__U113(mark(X1),X2,X3) ; } { Marked_mark(U113(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U114(X1,X2)) > Marked_a__U114(mark(X1),X2) ; } { Marked_mark(U114(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(U121(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U122(X)) > Marked_mark(X) ; } { Marked_mark(U131(X1,X2,X3,X4)) > Marked_a__U131(mark(X1),X2,X3,X4) ; } { Marked_mark(U131(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U132(X1,X2,X3,X4)) > Marked_a__U132(mark(X1),X2,X3,X4) ; } { Marked_mark(U132(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U133(X1,X2,X3,X4)) > Marked_a__U133(mark(X1),X2,X3,X4) ; } { Marked_mark(U133(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U134(X1,X2,X3,X4)) > Marked_a__U134(mark(X1),X2,X3,X4) ; } { Marked_mark(U134(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U135(X1,X2,X3,X4)) > Marked_a__U135(mark(X1),X2,X3,X4) ; } { Marked_mark(U135(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U136(X1,X2,X3,X4)) > Marked_a__U136(mark(X1),X2,X3,X4) ; } { Marked_mark(U136(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U62(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U95(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U96(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U102(tt,V1,V2) >= a__U103(a__isNatIListKind(V2),V1,V2) constraint: a__U102(X1,X2,X3) >= U102(X1,X2,X3) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U81(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U71(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) constraint: a__U101(tt,V1,V2) >= a__U102(a__isNatKind(V1),V1,V2) constraint: a__U101(X1,X2,X3) >= U101(X1,X2,X3) constraint: a__U103(tt,V1,V2) >= a__U104(a__isNatIListKind(V2),V1,V2) constraint: a__U103(X1,X2,X3) >= U103(X1,X2,X3) constraint: a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(take(V1,V2)) >= a__U61(a__isNatKind(V1),V2) constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__U104(tt,V1,V2) >= a__U105(a__isNat(V1),V2) constraint: a__U104(X1,X2,X3) >= U104(X1,X2,X3) constraint: a__U105(tt,V2) >= a__U106(a__isNatIList(V2)) constraint: a__U105(X1,X2) >= U105(X1,X2) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U106(tt) >= tt constraint: a__U106(X) >= U106(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__isNatKind(V1),V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U112(tt,L,N) >= a__U113(a__isNat(N),L,N) constraint: a__U112(X1,X2,X3) >= U112(X1,X2,X3) constraint: a__U111(tt,L,N) >= a__U112(a__isNatIListKind(L),L,N) constraint: a__U111(X1,X2,X3) >= U111(X1,X2,X3) constraint: a__U113(tt,L,N) >= a__U114(a__isNatKind(N),L) constraint: a__U113(X1,X2,X3) >= U113(X1,X2,X3) constraint: a__U114(tt,L) >= s(a__length(mark(L))) constraint: a__U114(X1,X2) >= U114(X1,X2) constraint: a__length(cons(N,L)) >= a__U111(a__isNatList(L),L,N) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(nil) >= nil constraint: mark(take(X1,X2)) >= a__take(mark(X1),mark(X2)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(U101(X1,X2,X3)) >= a__U101(mark(X1),X2,X3) constraint: mark(U102(X1,X2,X3)) >= a__U102(mark(X1),X2,X3) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U103(X1,X2,X3)) >= a__U103(mark(X1),X2,X3) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U104(X1,X2,X3)) >= a__U104(mark(X1),X2,X3) constraint: mark(U105(X1,X2)) >= a__U105(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(U106(X)) >= a__U106(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(U111(X1,X2,X3)) >= a__U111(mark(X1),X2,X3) constraint: mark(U112(X1,X2,X3)) >= a__U112(mark(X1),X2,X3) constraint: mark(U113(X1,X2,X3)) >= a__U113(mark(X1),X2,X3) constraint: mark(U114(X1,X2)) >= a__U114(mark(X1),X2) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U121(X1,X2)) >= a__U121(mark(X1),X2) constraint: mark(U122(X)) >= a__U122(mark(X)) constraint: mark(U131(X1,X2,X3,X4)) >= a__U131(mark(X1),X2,X3,X4) constraint: mark(U132(X1,X2,X3,X4)) >= a__U132(mark(X1),X2,X3,X4) constraint: mark(U133(X1,X2,X3,X4)) >= a__U133(mark(X1),X2,X3,X4) constraint: mark(U134(X1,X2,X3,X4)) >= a__U134(mark(X1),X2,X3,X4) constraint: mark(U135(X1,X2,X3,X4)) >= a__U135(mark(X1),X2,X3,X4) constraint: mark(U136(X1,X2,X3,X4)) >= a__U136(mark(X1),X2,X3,X4) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X1,X2)) >= a__U32(mark(X1),X2) constraint: mark(U33(X)) >= a__U33(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2,X3)) >= a__U42(mark(X1),X2,X3) constraint: mark(U43(X1,X2,X3)) >= a__U43(mark(X1),X2,X3) constraint: mark(U44(X1,X2,X3)) >= a__U44(mark(X1),X2,X3) constraint: mark(U45(X1,X2)) >= a__U45(mark(X1),X2) constraint: mark(U46(X)) >= a__U46(mark(X)) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: mark(U62(X)) >= a__U62(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X)) >= a__U81(mark(X)) constraint: mark(U91(X1,X2,X3)) >= a__U91(mark(X1),X2,X3) constraint: mark(U92(X1,X2,X3)) >= a__U92(mark(X1),X2,X3) constraint: mark(U93(X1,X2,X3)) >= a__U93(mark(X1),X2,X3) constraint: mark(U94(X1,X2,X3)) >= a__U94(mark(X1),X2,X3) constraint: mark(U95(X1,X2)) >= a__U95(mark(X1),X2) constraint: mark(U96(X)) >= a__U96(mark(X)) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U91(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(take(V1,V2)) >= a__U101(a__isNatKind(V1),V1,V2) constraint: a__isNatList(X) >= isNatList(X) constraint: a__U122(tt) >= nil constraint: a__U122(X) >= U122(X) constraint: a__U121(tt,IL) >= a__U122(a__isNatIListKind(IL)) constraint: a__U121(X1,X2) >= U121(X1,X2) constraint: a__U132(tt,IL,M,N) >= a__U133(a__isNat(M),IL,M,N) constraint: a__U132(X1,X2,X3,X4) >= U132(X1,X2,X3,X4) constraint: a__U131(tt,IL,M,N) >= a__U132(a__isNatIListKind(IL),IL,M,N) constraint: a__U131(X1,X2,X3,X4) >= U131(X1,X2,X3,X4) constraint: a__U133(tt,IL,M,N) >= a__U134(a__isNatKind(M),IL,M,N) constraint: a__U133(X1,X2,X3,X4) >= U133(X1,X2,X3,X4) constraint: a__U134(tt,IL,M,N) >= a__U135(a__isNat(N),IL,M,N) constraint: a__U134(X1,X2,X3,X4) >= U134(X1,X2,X3,X4) constraint: a__U135(tt,IL,M,N) >= a__U136(a__isNatKind(N),IL,M,N) constraint: a__U135(X1,X2,X3,X4) >= U135(X1,X2,X3,X4) constraint: a__U136(tt,IL,M,N) >= cons(mark(N),take(M,IL)) constraint: a__U136(X1,X2,X3,X4) >= U136(X1,X2,X3,X4) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__U21(tt,V1) >= a__U22(a__isNatKind(V1),V1) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U23(tt) >= tt constraint: a__U23(X) >= U23(X) constraint: a__U32(tt,V) >= a__U33(a__isNatList(V)) constraint: a__U32(X1,X2) >= U32(X1,X2) constraint: a__U31(tt,V) >= a__U32(a__isNatIListKind(V),V) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U33(tt) >= tt constraint: a__U33(X) >= U33(X) constraint: a__U42(tt,V1,V2) >= a__U43(a__isNatIListKind(V2),V1,V2) constraint: a__U42(X1,X2,X3) >= U42(X1,X2,X3) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNatKind(V1),V1,V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt,V1,V2) >= a__U44(a__isNatIListKind(V2),V1,V2) constraint: a__U43(X1,X2,X3) >= U43(X1,X2,X3) constraint: a__U44(tt,V1,V2) >= a__U45(a__isNat(V1),V2) constraint: a__U44(X1,X2,X3) >= U44(X1,X2,X3) constraint: a__U45(tt,V2) >= a__U46(a__isNatIList(V2)) constraint: a__U45(X1,X2) >= U45(X1,X2) constraint: a__U46(tt) >= tt constraint: a__U46(X) >= U46(X) constraint: a__U52(tt) >= tt constraint: a__U52(X) >= U52(X) constraint: a__U51(tt,V2) >= a__U52(a__isNatIListKind(V2)) constraint: a__U51(X1,X2) >= U51(X1,X2) constraint: a__U62(tt) >= tt constraint: a__U62(X) >= U62(X) constraint: a__U61(tt,V2) >= a__U62(a__isNatIListKind(V2)) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U81(tt) >= tt constraint: a__U81(X) >= U81(X) constraint: a__U92(tt,V1,V2) >= a__U93(a__isNatIListKind(V2),V1,V2) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,V1,V2) >= a__U92(a__isNatKind(V1),V1,V2) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,V1,V2) >= a__U94(a__isNatIListKind(V2),V1,V2) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,V1,V2) >= a__U95(a__isNat(V1),V2) constraint: a__U94(X1,X2,X3) >= U94(X1,X2,X3) constraint: a__U95(tt,V2) >= a__U96(a__isNatList(V2)) constraint: a__U95(X1,X2) >= U95(X1,X2) constraint: a__U96(tt) >= tt constraint: a__U96(X) >= U96(X) constraint: a__take(0,IL) >= a__U121(a__isNatIList(IL),IL) constraint: a__take(s(M),cons(N,IL)) >= a__U131(a__isNatIList(IL),IL,M,N) constraint: a__take(X1,X2) >= take(X1,X2) constraint: Marked_a__take(s(M),cons(N,IL)) >= Marked_a__U131(a__isNatIList(IL), IL,M,N) constraint: Marked_a__U136(tt,IL,M,N) >= Marked_mark(N) constraint: Marked_a__U135(tt,IL,M,N) >= Marked_a__U136(a__isNatKind(N),IL,M,N) constraint: Marked_a__U134(tt,IL,M,N) >= Marked_a__U135(a__isNat(N),IL,M,N) constraint: Marked_a__U133(tt,IL,M,N) >= Marked_a__U134(a__isNatKind(M),IL,M,N) constraint: Marked_a__U132(tt,IL,M,N) >= Marked_a__U133(a__isNat(M),IL,M,N) constraint: Marked_a__U131(tt,IL,M,N) >= Marked_a__U132(a__isNatIListKind(IL), IL,M,N) constraint: Marked_a__length(cons(N,L)) >= Marked_a__U111(a__isNatList(L),L,N) constraint: Marked_a__U114(tt,L) >= Marked_a__length(mark(L)) constraint: Marked_a__U114(tt,L) >= Marked_mark(L) constraint: Marked_a__U113(tt,L,N) >= Marked_a__U114(a__isNatKind(N),L) constraint: Marked_a__U112(tt,L,N) >= Marked_a__U113(a__isNat(N),L,N) constraint: Marked_a__U111(tt,L,N) >= Marked_a__U112(a__isNatIListKind(L),L,N) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(take(X1,X2)) >= Marked_a__take(mark(X1),mark(X2)) constraint: Marked_mark(take(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(take(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(length(X)) >= Marked_a__length(mark(X)) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U105(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U106(X)) >= Marked_mark(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U111(X1,X2,X3)) >= Marked_a__U111(mark(X1),X2,X3) constraint: Marked_mark(U111(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U112(X1,X2,X3)) >= Marked_a__U112(mark(X1),X2,X3) constraint: Marked_mark(U112(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U113(X1,X2,X3)) >= Marked_a__U113(mark(X1),X2,X3) constraint: Marked_mark(U113(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U114(X1,X2)) >= Marked_a__U114(mark(X1),X2) constraint: Marked_mark(U114(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(U121(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U122(X)) >= Marked_mark(X) constraint: Marked_mark(U131(X1,X2,X3,X4)) >= Marked_a__U131(mark(X1),X2,X3,X4) constraint: Marked_mark(U131(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U132(X1,X2,X3,X4)) >= Marked_a__U132(mark(X1),X2,X3,X4) constraint: Marked_mark(U132(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U133(X1,X2,X3,X4)) >= Marked_a__U133(mark(X1),X2,X3,X4) constraint: Marked_mark(U133(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U134(X1,X2,X3,X4)) >= Marked_a__U134(mark(X1),X2,X3,X4) constraint: Marked_mark(U134(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U135(X1,X2,X3,X4)) >= Marked_a__U135(mark(X1),X2,X3,X4) constraint: Marked_mark(U135(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U136(X1,X2,X3,X4)) >= Marked_a__U136(mark(X1),X2,X3,X4) constraint: Marked_mark(U136(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U62(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U95(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U96(X)) >= Marked_mark(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U102(tt,V1,V2) >= a__U103(a__isNatIListKind(V2),V1,V2) ; a__U102(X1,X2,X3) >= U102(X1,X2,X3) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U81(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U71(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; a__U101(tt,V1,V2) >= a__U102(a__isNatKind(V1),V1,V2) ; a__U101(X1,X2,X3) >= U101(X1,X2,X3) ; a__U103(tt,V1,V2) >= a__U104(a__isNatIListKind(V2),V1,V2) ; a__U103(X1,X2,X3) >= U103(X1,X2,X3) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(take(V1,V2)) >= a__U61(a__isNatKind(V1),V2) ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U104(tt,V1,V2) >= a__U105(a__isNat(V1),V2) ; a__U104(X1,X2,X3) >= U104(X1,X2,X3) ; a__U105(tt,V2) >= a__U106(a__isNatIList(V2)) ; a__U105(X1,X2) >= U105(X1,X2) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U106(tt) >= tt ; a__U106(X) >= U106(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__isNatKind(V1),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U112(tt,L,N) >= a__U113(a__isNat(N),L,N) ; a__U112(X1,X2,X3) >= U112(X1,X2,X3) ; a__U111(tt,L,N) >= a__U112(a__isNatIListKind(L),L,N) ; a__U111(X1,X2,X3) >= U111(X1,X2,X3) ; a__U113(tt,L,N) >= a__U114(a__isNatKind(N),L) ; a__U113(X1,X2,X3) >= U113(X1,X2,X3) ; a__U114(tt,L) >= s(a__length(mark(L))) ; a__U114(X1,X2) >= U114(X1,X2) ; a__length(cons(N,L)) >= a__U111(a__isNatList(L),L,N) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(nil) >= nil ; mark(take(X1,X2)) >= a__take(mark(X1),mark(X2)) ; mark(length(X)) >= a__length(mark(X)) ; mark(U101(X1,X2,X3)) >= a__U101(mark(X1),X2,X3) ; mark(U102(X1,X2,X3)) >= a__U102(mark(X1),X2,X3) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U103(X1,X2,X3)) >= a__U103(mark(X1),X2,X3) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U104(X1,X2,X3)) >= a__U104(mark(X1),X2,X3) ; mark(U105(X1,X2)) >= a__U105(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(U106(X)) >= a__U106(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(U111(X1,X2,X3)) >= a__U111(mark(X1),X2,X3) ; mark(U112(X1,X2,X3)) >= a__U112(mark(X1),X2,X3) ; mark(U113(X1,X2,X3)) >= a__U113(mark(X1),X2,X3) ; mark(U114(X1,X2)) >= a__U114(mark(X1),X2) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U121(X1,X2)) >= a__U121(mark(X1),X2) ; mark(U122(X)) >= a__U122(mark(X)) ; mark(U131(X1,X2,X3,X4)) >= a__U131(mark(X1),X2,X3,X4) ; mark(U132(X1,X2,X3,X4)) >= a__U132(mark(X1),X2,X3,X4) ; mark(U133(X1,X2,X3,X4)) >= a__U133(mark(X1),X2,X3,X4) ; mark(U134(X1,X2,X3,X4)) >= a__U134(mark(X1),X2,X3,X4) ; mark(U135(X1,X2,X3,X4)) >= a__U135(mark(X1),X2,X3,X4) ; mark(U136(X1,X2,X3,X4)) >= a__U136(mark(X1),X2,X3,X4) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X1,X2)) >= a__U32(mark(X1),X2) ; mark(U33(X)) >= a__U33(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2,X3)) >= a__U42(mark(X1),X2,X3) ; mark(U43(X1,X2,X3)) >= a__U43(mark(X1),X2,X3) ; mark(U44(X1,X2,X3)) >= a__U44(mark(X1),X2,X3) ; mark(U45(X1,X2)) >= a__U45(mark(X1),X2) ; mark(U46(X)) >= a__U46(mark(X)) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; mark(U62(X)) >= a__U62(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X)) >= a__U81(mark(X)) ; mark(U91(X1,X2,X3)) >= a__U91(mark(X1),X2,X3) ; mark(U92(X1,X2,X3)) >= a__U92(mark(X1),X2,X3) ; mark(U93(X1,X2,X3)) >= a__U93(mark(X1),X2,X3) ; mark(U94(X1,X2,X3)) >= a__U94(mark(X1),X2,X3) ; mark(U95(X1,X2)) >= a__U95(mark(X1),X2) ; mark(U96(X)) >= a__U96(mark(X)) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U91(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(take(V1,V2)) >= a__U101(a__isNatKind(V1),V1,V2) ; a__isNatList(X) >= isNatList(X) ; a__U122(tt) >= nil ; a__U122(X) >= U122(X) ; a__U121(tt,IL) >= a__U122(a__isNatIListKind(IL)) ; a__U121(X1,X2) >= U121(X1,X2) ; a__U132(tt,IL,M,N) >= a__U133(a__isNat(M),IL,M,N) ; a__U132(X1,X2,X3,X4) >= U132(X1,X2,X3,X4) ; a__U131(tt,IL,M,N) >= a__U132(a__isNatIListKind(IL),IL,M,N) ; a__U131(X1,X2,X3,X4) >= U131(X1,X2,X3,X4) ; a__U133(tt,IL,M,N) >= a__U134(a__isNatKind(M),IL,M,N) ; a__U133(X1,X2,X3,X4) >= U133(X1,X2,X3,X4) ; a__U134(tt,IL,M,N) >= a__U135(a__isNat(N),IL,M,N) ; a__U134(X1,X2,X3,X4) >= U134(X1,X2,X3,X4) ; a__U135(tt,IL,M,N) >= a__U136(a__isNatKind(N),IL,M,N) ; a__U135(X1,X2,X3,X4) >= U135(X1,X2,X3,X4) ; a__U136(tt,IL,M,N) >= cons(mark(N),take(M,IL)) ; a__U136(X1,X2,X3,X4) >= U136(X1,X2,X3,X4) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__U21(tt,V1) >= a__U22(a__isNatKind(V1),V1) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U23(tt) >= tt ; a__U23(X) >= U23(X) ; a__U32(tt,V) >= a__U33(a__isNatList(V)) ; a__U32(X1,X2) >= U32(X1,X2) ; a__U31(tt,V) >= a__U32(a__isNatIListKind(V),V) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U33(tt) >= tt ; a__U33(X) >= U33(X) ; a__U42(tt,V1,V2) >= a__U43(a__isNatIListKind(V2),V1,V2) ; a__U42(X1,X2,X3) >= U42(X1,X2,X3) ; a__U41(tt,V1,V2) >= a__U42(a__isNatKind(V1),V1,V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt,V1,V2) >= a__U44(a__isNatIListKind(V2),V1,V2) ; a__U43(X1,X2,X3) >= U43(X1,X2,X3) ; a__U44(tt,V1,V2) >= a__U45(a__isNat(V1),V2) ; a__U44(X1,X2,X3) >= U44(X1,X2,X3) ; a__U45(tt,V2) >= a__U46(a__isNatIList(V2)) ; a__U45(X1,X2) >= U45(X1,X2) ; a__U46(tt) >= tt ; a__U46(X) >= U46(X) ; a__U52(tt) >= tt ; a__U52(X) >= U52(X) ; a__U51(tt,V2) >= a__U52(a__isNatIListKind(V2)) ; a__U51(X1,X2) >= U51(X1,X2) ; a__U62(tt) >= tt ; a__U62(X) >= U62(X) ; a__U61(tt,V2) >= a__U62(a__isNatIListKind(V2)) ; a__U61(X1,X2) >= U61(X1,X2) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U81(tt) >= tt ; a__U81(X) >= U81(X) ; a__U92(tt,V1,V2) >= a__U93(a__isNatIListKind(V2),V1,V2) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,V1,V2) >= a__U92(a__isNatKind(V1),V1,V2) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,V1,V2) >= a__U94(a__isNatIListKind(V2),V1,V2) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,V1,V2) >= a__U95(a__isNat(V1),V2) ; a__U94(X1,X2,X3) >= U94(X1,X2,X3) ; a__U95(tt,V2) >= a__U96(a__isNatList(V2)) ; a__U95(X1,X2) >= U95(X1,X2) ; a__U96(tt) >= tt ; a__U96(X) >= U96(X) ; a__take(0,IL) >= a__U121(a__isNatIList(IL),IL) ; a__take(s(M),cons(N,IL)) >= a__U131(a__isNatIList(IL),IL,M,N) ; a__take(X1,X2) >= take(X1,X2) ; Marked_a__U95(tt,V2) >= Marked_a__isNatList(V2) ; Marked_a__U94(tt,V1,V2) >= Marked_a__U95(a__isNat(V1),V2) ; Marked_a__U94(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__U93(tt,V1,V2) >= Marked_a__U94(a__isNatIListKind(V2),V1,V2) ; Marked_a__U92(tt,V1,V2) >= Marked_a__U93(a__isNatIListKind(V2),V1,V2) ; Marked_a__U91(tt,V1,V2) >= Marked_a__U92(a__isNatKind(V1),V1,V2) ; Marked_a__U45(tt,V2) >= Marked_a__isNatIList(V2) ; Marked_a__U44(tt,V1,V2) >= Marked_a__U45(a__isNat(V1),V2) ; Marked_a__U44(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__U43(tt,V1,V2) >= Marked_a__U44(a__isNatIListKind(V2),V1,V2) ; Marked_a__U42(tt,V1,V2) >= Marked_a__U43(a__isNatIListKind(V2),V1,V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNatKind(V1),V1,V2) ; Marked_a__U32(tt,V) >= Marked_a__isNatList(V) ; Marked_a__U31(tt,V) >= Marked_a__U32(a__isNatIListKind(V),V) ; Marked_a__U22(tt,V1) >= Marked_a__isNat(V1) ; Marked_a__U21(tt,V1) >= Marked_a__U22(a__isNatKind(V1),V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U91(a__isNatKind(V1),V1,V2) ; Marked_a__isNatList(take(V1,V2)) >= Marked_a__U101(a__isNatKind(V1),V1,V2) ; Marked_a__U12(tt,V1) >= Marked_a__isNatList(V1) ; Marked_a__U11(tt,V1) >= Marked_a__U12(a__isNatIListKind(V1),V1) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__U41(a__isNatKind(V1),V1,V2) ; Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__isNat(length(V1)) >= Marked_a__U11(a__isNatIListKind(V1),V1) ; Marked_a__U105(tt,V2) >= Marked_a__isNatIList(V2) ; Marked_a__U104(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__U104(tt,V1,V2) >= Marked_a__U105(a__isNat(V1),V2) ; Marked_a__U103(tt,V1,V2) >= Marked_a__U104(a__isNatIListKind(V2),V1,V2) ; Marked_a__U102(tt,V1,V2) >= Marked_a__U103(a__isNatIListKind(V2),V1,V2) ; Marked_a__U101(tt,V1,V2) >= Marked_a__U102(a__isNatKind(V1),V1,V2) ; } + Disjunctions:{ { Marked_a__U95(tt,V2) > Marked_a__isNatList(V2) ; } { Marked_a__U94(tt,V1,V2) > Marked_a__U95(a__isNat(V1),V2) ; } { Marked_a__U94(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__U93(tt,V1,V2) > Marked_a__U94(a__isNatIListKind(V2),V1,V2) ; } { Marked_a__U92(tt,V1,V2) > Marked_a__U93(a__isNatIListKind(V2),V1,V2) ; } { Marked_a__U91(tt,V1,V2) > Marked_a__U92(a__isNatKind(V1),V1,V2) ; } { Marked_a__U45(tt,V2) > Marked_a__isNatIList(V2) ; } { Marked_a__U44(tt,V1,V2) > Marked_a__U45(a__isNat(V1),V2) ; } { Marked_a__U44(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__U43(tt,V1,V2) > Marked_a__U44(a__isNatIListKind(V2),V1,V2) ; } { Marked_a__U42(tt,V1,V2) > Marked_a__U43(a__isNatIListKind(V2),V1,V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__U42(a__isNatKind(V1),V1,V2) ; } { Marked_a__U32(tt,V) > Marked_a__isNatList(V) ; } { Marked_a__U31(tt,V) > Marked_a__U32(a__isNatIListKind(V),V) ; } { Marked_a__U22(tt,V1) > Marked_a__isNat(V1) ; } { Marked_a__U21(tt,V1) > Marked_a__U22(a__isNatKind(V1),V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__U91(a__isNatKind(V1),V1,V2) ; } { Marked_a__isNatList(take(V1,V2)) > Marked_a__U101(a__isNatKind(V1),V1,V2) ; } { Marked_a__U12(tt,V1) > Marked_a__isNatList(V1) ; } { Marked_a__U11(tt,V1) > Marked_a__U12(a__isNatIListKind(V1),V1) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__U41(a__isNatKind(V1),V1,V2) ; } { Marked_a__isNatIList(V) > Marked_a__U31(a__isNatIListKind(V),V) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__isNat(length(V1)) > Marked_a__U11(a__isNatIListKind(V1),V1) ; } { Marked_a__U105(tt,V2) > Marked_a__isNatIList(V2) ; } { Marked_a__U104(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__U104(tt,V1,V2) > Marked_a__U105(a__isNat(V1),V2) ; } { Marked_a__U103(tt,V1,V2) > Marked_a__U104(a__isNatIListKind(V2),V1,V2) ; } { Marked_a__U102(tt,V1,V2) > Marked_a__U103(a__isNatIListKind(V2),V1,V2) ; } { Marked_a__U101(tt,V1,V2) > Marked_a__U102(a__isNatKind(V1),V1,V2) ; } } === 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: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U102(tt,V1,V2) >= a__U103(a__isNatIListKind(V2),V1,V2) constraint: a__U102(X1,X2,X3) >= U102(X1,X2,X3) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U81(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U71(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) constraint: a__U101(tt,V1,V2) >= a__U102(a__isNatKind(V1),V1,V2) constraint: a__U101(X1,X2,X3) >= U101(X1,X2,X3) constraint: a__U103(tt,V1,V2) >= a__U104(a__isNatIListKind(V2),V1,V2) constraint: a__U103(X1,X2,X3) >= U103(X1,X2,X3) constraint: a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(take(V1,V2)) >= a__U61(a__isNatKind(V1),V2) constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__U104(tt,V1,V2) >= a__U105(a__isNat(V1),V2) constraint: a__U104(X1,X2,X3) >= U104(X1,X2,X3) constraint: a__U105(tt,V2) >= a__U106(a__isNatIList(V2)) constraint: a__U105(X1,X2) >= U105(X1,X2) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U106(tt) >= tt constraint: a__U106(X) >= U106(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__isNatKind(V1),V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U112(tt,L,N) >= a__U113(a__isNat(N),L,N) constraint: a__U112(X1,X2,X3) >= U112(X1,X2,X3) constraint: a__U111(tt,L,N) >= a__U112(a__isNatIListKind(L),L,N) constraint: a__U111(X1,X2,X3) >= U111(X1,X2,X3) constraint: a__U113(tt,L,N) >= a__U114(a__isNatKind(N),L) constraint: a__U113(X1,X2,X3) >= U113(X1,X2,X3) constraint: a__U114(tt,L) >= s(a__length(mark(L))) constraint: a__U114(X1,X2) >= U114(X1,X2) constraint: a__length(cons(N,L)) >= a__U111(a__isNatList(L),L,N) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(nil) >= nil constraint: mark(take(X1,X2)) >= a__take(mark(X1),mark(X2)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(U101(X1,X2,X3)) >= a__U101(mark(X1),X2,X3) constraint: mark(U102(X1,X2,X3)) >= a__U102(mark(X1),X2,X3) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U103(X1,X2,X3)) >= a__U103(mark(X1),X2,X3) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U104(X1,X2,X3)) >= a__U104(mark(X1),X2,X3) constraint: mark(U105(X1,X2)) >= a__U105(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(U106(X)) >= a__U106(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(U111(X1,X2,X3)) >= a__U111(mark(X1),X2,X3) constraint: mark(U112(X1,X2,X3)) >= a__U112(mark(X1),X2,X3) constraint: mark(U113(X1,X2,X3)) >= a__U113(mark(X1),X2,X3) constraint: mark(U114(X1,X2)) >= a__U114(mark(X1),X2) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U121(X1,X2)) >= a__U121(mark(X1),X2) constraint: mark(U122(X)) >= a__U122(mark(X)) constraint: mark(U131(X1,X2,X3,X4)) >= a__U131(mark(X1),X2,X3,X4) constraint: mark(U132(X1,X2,X3,X4)) >= a__U132(mark(X1),X2,X3,X4) constraint: mark(U133(X1,X2,X3,X4)) >= a__U133(mark(X1),X2,X3,X4) constraint: mark(U134(X1,X2,X3,X4)) >= a__U134(mark(X1),X2,X3,X4) constraint: mark(U135(X1,X2,X3,X4)) >= a__U135(mark(X1),X2,X3,X4) constraint: mark(U136(X1,X2,X3,X4)) >= a__U136(mark(X1),X2,X3,X4) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X1,X2)) >= a__U32(mark(X1),X2) constraint: mark(U33(X)) >= a__U33(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2,X3)) >= a__U42(mark(X1),X2,X3) constraint: mark(U43(X1,X2,X3)) >= a__U43(mark(X1),X2,X3) constraint: mark(U44(X1,X2,X3)) >= a__U44(mark(X1),X2,X3) constraint: mark(U45(X1,X2)) >= a__U45(mark(X1),X2) constraint: mark(U46(X)) >= a__U46(mark(X)) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: mark(U62(X)) >= a__U62(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X)) >= a__U81(mark(X)) constraint: mark(U91(X1,X2,X3)) >= a__U91(mark(X1),X2,X3) constraint: mark(U92(X1,X2,X3)) >= a__U92(mark(X1),X2,X3) constraint: mark(U93(X1,X2,X3)) >= a__U93(mark(X1),X2,X3) constraint: mark(U94(X1,X2,X3)) >= a__U94(mark(X1),X2,X3) constraint: mark(U95(X1,X2)) >= a__U95(mark(X1),X2) constraint: mark(U96(X)) >= a__U96(mark(X)) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U91(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(take(V1,V2)) >= a__U101(a__isNatKind(V1),V1,V2) constraint: a__isNatList(X) >= isNatList(X) constraint: a__U122(tt) >= nil constraint: a__U122(X) >= U122(X) constraint: a__U121(tt,IL) >= a__U122(a__isNatIListKind(IL)) constraint: a__U121(X1,X2) >= U121(X1,X2) constraint: a__U132(tt,IL,M,N) >= a__U133(a__isNat(M),IL,M,N) constraint: a__U132(X1,X2,X3,X4) >= U132(X1,X2,X3,X4) constraint: a__U131(tt,IL,M,N) >= a__U132(a__isNatIListKind(IL),IL,M,N) constraint: a__U131(X1,X2,X3,X4) >= U131(X1,X2,X3,X4) constraint: a__U133(tt,IL,M,N) >= a__U134(a__isNatKind(M),IL,M,N) constraint: a__U133(X1,X2,X3,X4) >= U133(X1,X2,X3,X4) constraint: a__U134(tt,IL,M,N) >= a__U135(a__isNat(N),IL,M,N) constraint: a__U134(X1,X2,X3,X4) >= U134(X1,X2,X3,X4) constraint: a__U135(tt,IL,M,N) >= a__U136(a__isNatKind(N),IL,M,N) constraint: a__U135(X1,X2,X3,X4) >= U135(X1,X2,X3,X4) constraint: a__U136(tt,IL,M,N) >= cons(mark(N),take(M,IL)) constraint: a__U136(X1,X2,X3,X4) >= U136(X1,X2,X3,X4) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__U21(tt,V1) >= a__U22(a__isNatKind(V1),V1) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U23(tt) >= tt constraint: a__U23(X) >= U23(X) constraint: a__U32(tt,V) >= a__U33(a__isNatList(V)) constraint: a__U32(X1,X2) >= U32(X1,X2) constraint: a__U31(tt,V) >= a__U32(a__isNatIListKind(V),V) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U33(tt) >= tt constraint: a__U33(X) >= U33(X) constraint: a__U42(tt,V1,V2) >= a__U43(a__isNatIListKind(V2),V1,V2) constraint: a__U42(X1,X2,X3) >= U42(X1,X2,X3) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNatKind(V1),V1,V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt,V1,V2) >= a__U44(a__isNatIListKind(V2),V1,V2) constraint: a__U43(X1,X2,X3) >= U43(X1,X2,X3) constraint: a__U44(tt,V1,V2) >= a__U45(a__isNat(V1),V2) constraint: a__U44(X1,X2,X3) >= U44(X1,X2,X3) constraint: a__U45(tt,V2) >= a__U46(a__isNatIList(V2)) constraint: a__U45(X1,X2) >= U45(X1,X2) constraint: a__U46(tt) >= tt constraint: a__U46(X) >= U46(X) constraint: a__U52(tt) >= tt constraint: a__U52(X) >= U52(X) constraint: a__U51(tt,V2) >= a__U52(a__isNatIListKind(V2)) constraint: a__U51(X1,X2) >= U51(X1,X2) constraint: a__U62(tt) >= tt constraint: a__U62(X) >= U62(X) constraint: a__U61(tt,V2) >= a__U62(a__isNatIListKind(V2)) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U81(tt) >= tt constraint: a__U81(X) >= U81(X) constraint: a__U92(tt,V1,V2) >= a__U93(a__isNatIListKind(V2),V1,V2) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,V1,V2) >= a__U92(a__isNatKind(V1),V1,V2) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,V1,V2) >= a__U94(a__isNatIListKind(V2),V1,V2) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,V1,V2) >= a__U95(a__isNat(V1),V2) constraint: a__U94(X1,X2,X3) >= U94(X1,X2,X3) constraint: a__U95(tt,V2) >= a__U96(a__isNatList(V2)) constraint: a__U95(X1,X2) >= U95(X1,X2) constraint: a__U96(tt) >= tt constraint: a__U96(X) >= U96(X) constraint: a__take(0,IL) >= a__U121(a__isNatIList(IL),IL) constraint: a__take(s(M),cons(N,IL)) >= a__U131(a__isNatIList(IL),IL,M,N) constraint: a__take(X1,X2) >= take(X1,X2) constraint: Marked_a__U95(tt,V2) >= Marked_a__isNatList(V2) constraint: Marked_a__U94(tt,V1,V2) >= Marked_a__U95(a__isNat(V1),V2) constraint: Marked_a__U94(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__U93(tt,V1,V2) >= Marked_a__U94(a__isNatIListKind(V2), V1,V2) constraint: Marked_a__U92(tt,V1,V2) >= Marked_a__U93(a__isNatIListKind(V2), V1,V2) constraint: Marked_a__U91(tt,V1,V2) >= Marked_a__U92(a__isNatKind(V1),V1,V2) constraint: Marked_a__U45(tt,V2) >= Marked_a__isNatIList(V2) constraint: Marked_a__U44(tt,V1,V2) >= Marked_a__U45(a__isNat(V1),V2) constraint: Marked_a__U44(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__U43(tt,V1,V2) >= Marked_a__U44(a__isNatIListKind(V2), V1,V2) constraint: Marked_a__U42(tt,V1,V2) >= Marked_a__U43(a__isNatIListKind(V2), V1,V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNatKind(V1),V1,V2) constraint: Marked_a__U32(tt,V) >= Marked_a__isNatList(V) constraint: Marked_a__U31(tt,V) >= Marked_a__U32(a__isNatIListKind(V),V) constraint: Marked_a__U22(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__U22(a__isNatKind(V1),V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U91(a__isNatKind(V1), V1,V2) constraint: Marked_a__isNatList(take(V1,V2)) >= Marked_a__U101(a__isNatKind(V1), V1,V2) constraint: Marked_a__U12(tt,V1) >= Marked_a__isNatList(V1) constraint: Marked_a__U11(tt,V1) >= Marked_a__U12(a__isNatIListKind(V1),V1) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__U41(a__isNatKind(V1), V1,V2) constraint: Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__isNat(length(V1)) >= Marked_a__U11(a__isNatIListKind(V1), V1) constraint: Marked_a__U105(tt,V2) >= Marked_a__isNatIList(V2) constraint: Marked_a__U104(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__U104(tt,V1,V2) >= Marked_a__U105(a__isNat(V1),V2) constraint: Marked_a__U103(tt,V1,V2) >= Marked_a__U104(a__isNatIListKind(V2), V1,V2) constraint: Marked_a__U102(tt,V1,V2) >= Marked_a__U103(a__isNatIListKind(V2), V1,V2) constraint: Marked_a__U101(tt,V1,V2) >= Marked_a__U102(a__isNatKind(V1),V1,V2) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U102(tt,V1,V2) >= a__U103(a__isNatIListKind(V2),V1,V2) ; a__U102(X1,X2,X3) >= U102(X1,X2,X3) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U81(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U71(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; a__U101(tt,V1,V2) >= a__U102(a__isNatKind(V1),V1,V2) ; a__U101(X1,X2,X3) >= U101(X1,X2,X3) ; a__U103(tt,V1,V2) >= a__U104(a__isNatIListKind(V2),V1,V2) ; a__U103(X1,X2,X3) >= U103(X1,X2,X3) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(take(V1,V2)) >= a__U61(a__isNatKind(V1),V2) ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U104(tt,V1,V2) >= a__U105(a__isNat(V1),V2) ; a__U104(X1,X2,X3) >= U104(X1,X2,X3) ; a__U105(tt,V2) >= a__U106(a__isNatIList(V2)) ; a__U105(X1,X2) >= U105(X1,X2) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U106(tt) >= tt ; a__U106(X) >= U106(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__isNatKind(V1),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U112(tt,L,N) >= a__U113(a__isNat(N),L,N) ; a__U112(X1,X2,X3) >= U112(X1,X2,X3) ; a__U111(tt,L,N) >= a__U112(a__isNatIListKind(L),L,N) ; a__U111(X1,X2,X3) >= U111(X1,X2,X3) ; a__U113(tt,L,N) >= a__U114(a__isNatKind(N),L) ; a__U113(X1,X2,X3) >= U113(X1,X2,X3) ; a__U114(tt,L) >= s(a__length(mark(L))) ; a__U114(X1,X2) >= U114(X1,X2) ; a__length(cons(N,L)) >= a__U111(a__isNatList(L),L,N) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(nil) >= nil ; mark(take(X1,X2)) >= a__take(mark(X1),mark(X2)) ; mark(length(X)) >= a__length(mark(X)) ; mark(U101(X1,X2,X3)) >= a__U101(mark(X1),X2,X3) ; mark(U102(X1,X2,X3)) >= a__U102(mark(X1),X2,X3) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U103(X1,X2,X3)) >= a__U103(mark(X1),X2,X3) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U104(X1,X2,X3)) >= a__U104(mark(X1),X2,X3) ; mark(U105(X1,X2)) >= a__U105(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(U106(X)) >= a__U106(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(U111(X1,X2,X3)) >= a__U111(mark(X1),X2,X3) ; mark(U112(X1,X2,X3)) >= a__U112(mark(X1),X2,X3) ; mark(U113(X1,X2,X3)) >= a__U113(mark(X1),X2,X3) ; mark(U114(X1,X2)) >= a__U114(mark(X1),X2) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U121(X1,X2)) >= a__U121(mark(X1),X2) ; mark(U122(X)) >= a__U122(mark(X)) ; mark(U131(X1,X2,X3,X4)) >= a__U131(mark(X1),X2,X3,X4) ; mark(U132(X1,X2,X3,X4)) >= a__U132(mark(X1),X2,X3,X4) ; mark(U133(X1,X2,X3,X4)) >= a__U133(mark(X1),X2,X3,X4) ; mark(U134(X1,X2,X3,X4)) >= a__U134(mark(X1),X2,X3,X4) ; mark(U135(X1,X2,X3,X4)) >= a__U135(mark(X1),X2,X3,X4) ; mark(U136(X1,X2,X3,X4)) >= a__U136(mark(X1),X2,X3,X4) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X1,X2)) >= a__U32(mark(X1),X2) ; mark(U33(X)) >= a__U33(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2,X3)) >= a__U42(mark(X1),X2,X3) ; mark(U43(X1,X2,X3)) >= a__U43(mark(X1),X2,X3) ; mark(U44(X1,X2,X3)) >= a__U44(mark(X1),X2,X3) ; mark(U45(X1,X2)) >= a__U45(mark(X1),X2) ; mark(U46(X)) >= a__U46(mark(X)) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; mark(U62(X)) >= a__U62(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X)) >= a__U81(mark(X)) ; mark(U91(X1,X2,X3)) >= a__U91(mark(X1),X2,X3) ; mark(U92(X1,X2,X3)) >= a__U92(mark(X1),X2,X3) ; mark(U93(X1,X2,X3)) >= a__U93(mark(X1),X2,X3) ; mark(U94(X1,X2,X3)) >= a__U94(mark(X1),X2,X3) ; mark(U95(X1,X2)) >= a__U95(mark(X1),X2) ; mark(U96(X)) >= a__U96(mark(X)) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U91(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(take(V1,V2)) >= a__U101(a__isNatKind(V1),V1,V2) ; a__isNatList(X) >= isNatList(X) ; a__U122(tt) >= nil ; a__U122(X) >= U122(X) ; a__U121(tt,IL) >= a__U122(a__isNatIListKind(IL)) ; a__U121(X1,X2) >= U121(X1,X2) ; a__U132(tt,IL,M,N) >= a__U133(a__isNat(M),IL,M,N) ; a__U132(X1,X2,X3,X4) >= U132(X1,X2,X3,X4) ; a__U131(tt,IL,M,N) >= a__U132(a__isNatIListKind(IL),IL,M,N) ; a__U131(X1,X2,X3,X4) >= U131(X1,X2,X3,X4) ; a__U133(tt,IL,M,N) >= a__U134(a__isNatKind(M),IL,M,N) ; a__U133(X1,X2,X3,X4) >= U133(X1,X2,X3,X4) ; a__U134(tt,IL,M,N) >= a__U135(a__isNat(N),IL,M,N) ; a__U134(X1,X2,X3,X4) >= U134(X1,X2,X3,X4) ; a__U135(tt,IL,M,N) >= a__U136(a__isNatKind(N),IL,M,N) ; a__U135(X1,X2,X3,X4) >= U135(X1,X2,X3,X4) ; a__U136(tt,IL,M,N) >= cons(mark(N),take(M,IL)) ; a__U136(X1,X2,X3,X4) >= U136(X1,X2,X3,X4) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__U21(tt,V1) >= a__U22(a__isNatKind(V1),V1) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U23(tt) >= tt ; a__U23(X) >= U23(X) ; a__U32(tt,V) >= a__U33(a__isNatList(V)) ; a__U32(X1,X2) >= U32(X1,X2) ; a__U31(tt,V) >= a__U32(a__isNatIListKind(V),V) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U33(tt) >= tt ; a__U33(X) >= U33(X) ; a__U42(tt,V1,V2) >= a__U43(a__isNatIListKind(V2),V1,V2) ; a__U42(X1,X2,X3) >= U42(X1,X2,X3) ; a__U41(tt,V1,V2) >= a__U42(a__isNatKind(V1),V1,V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt,V1,V2) >= a__U44(a__isNatIListKind(V2),V1,V2) ; a__U43(X1,X2,X3) >= U43(X1,X2,X3) ; a__U44(tt,V1,V2) >= a__U45(a__isNat(V1),V2) ; a__U44(X1,X2,X3) >= U44(X1,X2,X3) ; a__U45(tt,V2) >= a__U46(a__isNatIList(V2)) ; a__U45(X1,X2) >= U45(X1,X2) ; a__U46(tt) >= tt ; a__U46(X) >= U46(X) ; a__U52(tt) >= tt ; a__U52(X) >= U52(X) ; a__U51(tt,V2) >= a__U52(a__isNatIListKind(V2)) ; a__U51(X1,X2) >= U51(X1,X2) ; a__U62(tt) >= tt ; a__U62(X) >= U62(X) ; a__U61(tt,V2) >= a__U62(a__isNatIListKind(V2)) ; a__U61(X1,X2) >= U61(X1,X2) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U81(tt) >= tt ; a__U81(X) >= U81(X) ; a__U92(tt,V1,V2) >= a__U93(a__isNatIListKind(V2),V1,V2) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,V1,V2) >= a__U92(a__isNatKind(V1),V1,V2) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,V1,V2) >= a__U94(a__isNatIListKind(V2),V1,V2) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,V1,V2) >= a__U95(a__isNat(V1),V2) ; a__U94(X1,X2,X3) >= U94(X1,X2,X3) ; a__U95(tt,V2) >= a__U96(a__isNatList(V2)) ; a__U95(X1,X2) >= U95(X1,X2) ; a__U96(tt) >= tt ; a__U96(X) >= U96(X) ; a__take(0,IL) >= a__U121(a__isNatIList(IL),IL) ; a__take(s(M),cons(N,IL)) >= a__U131(a__isNatIList(IL),IL,M,N) ; a__take(X1,X2) >= take(X1,X2) ; Marked_a__U61(tt,V2) >= Marked_a__isNatIListKind(V2) ; Marked_a__U51(tt,V2) >= Marked_a__isNatIListKind(V2) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__U51(a__isNatKind(V1),V2) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(take(V1,V2)) >= Marked_a__U61(a__isNatKind(V1),V2) ; Marked_a__isNatIListKind(take(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; } + Disjunctions:{ { Marked_a__U61(tt,V2) > Marked_a__isNatIListKind(V2) ; } { Marked_a__U51(tt,V2) > Marked_a__isNatIListKind(V2) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__U51(a__isNatKind(V1),V2) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(take(V1,V2)) > Marked_a__U61(a__isNatKind(V1),V2) ; } { Marked_a__isNatIListKind(take(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } } === 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: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U102(tt,V1,V2) >= a__U103(a__isNatIListKind(V2),V1,V2) constraint: a__U102(X1,X2,X3) >= U102(X1,X2,X3) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U81(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U71(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) constraint: a__U101(tt,V1,V2) >= a__U102(a__isNatKind(V1),V1,V2) constraint: a__U101(X1,X2,X3) >= U101(X1,X2,X3) constraint: a__U103(tt,V1,V2) >= a__U104(a__isNatIListKind(V2),V1,V2) constraint: a__U103(X1,X2,X3) >= U103(X1,X2,X3) constraint: a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(take(V1,V2)) >= a__U61(a__isNatKind(V1),V2) constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__U104(tt,V1,V2) >= a__U105(a__isNat(V1),V2) constraint: a__U104(X1,X2,X3) >= U104(X1,X2,X3) constraint: a__U105(tt,V2) >= a__U106(a__isNatIList(V2)) constraint: a__U105(X1,X2) >= U105(X1,X2) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U106(tt) >= tt constraint: a__U106(X) >= U106(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__isNatKind(V1),V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U112(tt,L,N) >= a__U113(a__isNat(N),L,N) constraint: a__U112(X1,X2,X3) >= U112(X1,X2,X3) constraint: a__U111(tt,L,N) >= a__U112(a__isNatIListKind(L),L,N) constraint: a__U111(X1,X2,X3) >= U111(X1,X2,X3) constraint: a__U113(tt,L,N) >= a__U114(a__isNatKind(N),L) constraint: a__U113(X1,X2,X3) >= U113(X1,X2,X3) constraint: a__U114(tt,L) >= s(a__length(mark(L))) constraint: a__U114(X1,X2) >= U114(X1,X2) constraint: a__length(cons(N,L)) >= a__U111(a__isNatList(L),L,N) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(nil) >= nil constraint: mark(take(X1,X2)) >= a__take(mark(X1),mark(X2)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(U101(X1,X2,X3)) >= a__U101(mark(X1),X2,X3) constraint: mark(U102(X1,X2,X3)) >= a__U102(mark(X1),X2,X3) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U103(X1,X2,X3)) >= a__U103(mark(X1),X2,X3) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U104(X1,X2,X3)) >= a__U104(mark(X1),X2,X3) constraint: mark(U105(X1,X2)) >= a__U105(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(U106(X)) >= a__U106(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(U111(X1,X2,X3)) >= a__U111(mark(X1),X2,X3) constraint: mark(U112(X1,X2,X3)) >= a__U112(mark(X1),X2,X3) constraint: mark(U113(X1,X2,X3)) >= a__U113(mark(X1),X2,X3) constraint: mark(U114(X1,X2)) >= a__U114(mark(X1),X2) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U121(X1,X2)) >= a__U121(mark(X1),X2) constraint: mark(U122(X)) >= a__U122(mark(X)) constraint: mark(U131(X1,X2,X3,X4)) >= a__U131(mark(X1),X2,X3,X4) constraint: mark(U132(X1,X2,X3,X4)) >= a__U132(mark(X1),X2,X3,X4) constraint: mark(U133(X1,X2,X3,X4)) >= a__U133(mark(X1),X2,X3,X4) constraint: mark(U134(X1,X2,X3,X4)) >= a__U134(mark(X1),X2,X3,X4) constraint: mark(U135(X1,X2,X3,X4)) >= a__U135(mark(X1),X2,X3,X4) constraint: mark(U136(X1,X2,X3,X4)) >= a__U136(mark(X1),X2,X3,X4) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X1,X2)) >= a__U32(mark(X1),X2) constraint: mark(U33(X)) >= a__U33(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2,X3)) >= a__U42(mark(X1),X2,X3) constraint: mark(U43(X1,X2,X3)) >= a__U43(mark(X1),X2,X3) constraint: mark(U44(X1,X2,X3)) >= a__U44(mark(X1),X2,X3) constraint: mark(U45(X1,X2)) >= a__U45(mark(X1),X2) constraint: mark(U46(X)) >= a__U46(mark(X)) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: mark(U62(X)) >= a__U62(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X)) >= a__U81(mark(X)) constraint: mark(U91(X1,X2,X3)) >= a__U91(mark(X1),X2,X3) constraint: mark(U92(X1,X2,X3)) >= a__U92(mark(X1),X2,X3) constraint: mark(U93(X1,X2,X3)) >= a__U93(mark(X1),X2,X3) constraint: mark(U94(X1,X2,X3)) >= a__U94(mark(X1),X2,X3) constraint: mark(U95(X1,X2)) >= a__U95(mark(X1),X2) constraint: mark(U96(X)) >= a__U96(mark(X)) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U91(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(take(V1,V2)) >= a__U101(a__isNatKind(V1),V1,V2) constraint: a__isNatList(X) >= isNatList(X) constraint: a__U122(tt) >= nil constraint: a__U122(X) >= U122(X) constraint: a__U121(tt,IL) >= a__U122(a__isNatIListKind(IL)) constraint: a__U121(X1,X2) >= U121(X1,X2) constraint: a__U132(tt,IL,M,N) >= a__U133(a__isNat(M),IL,M,N) constraint: a__U132(X1,X2,X3,X4) >= U132(X1,X2,X3,X4) constraint: a__U131(tt,IL,M,N) >= a__U132(a__isNatIListKind(IL),IL,M,N) constraint: a__U131(X1,X2,X3,X4) >= U131(X1,X2,X3,X4) constraint: a__U133(tt,IL,M,N) >= a__U134(a__isNatKind(M),IL,M,N) constraint: a__U133(X1,X2,X3,X4) >= U133(X1,X2,X3,X4) constraint: a__U134(tt,IL,M,N) >= a__U135(a__isNat(N),IL,M,N) constraint: a__U134(X1,X2,X3,X4) >= U134(X1,X2,X3,X4) constraint: a__U135(tt,IL,M,N) >= a__U136(a__isNatKind(N),IL,M,N) constraint: a__U135(X1,X2,X3,X4) >= U135(X1,X2,X3,X4) constraint: a__U136(tt,IL,M,N) >= cons(mark(N),take(M,IL)) constraint: a__U136(X1,X2,X3,X4) >= U136(X1,X2,X3,X4) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__U21(tt,V1) >= a__U22(a__isNatKind(V1),V1) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U23(tt) >= tt constraint: a__U23(X) >= U23(X) constraint: a__U32(tt,V) >= a__U33(a__isNatList(V)) constraint: a__U32(X1,X2) >= U32(X1,X2) constraint: a__U31(tt,V) >= a__U32(a__isNatIListKind(V),V) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U33(tt) >= tt constraint: a__U33(X) >= U33(X) constraint: a__U42(tt,V1,V2) >= a__U43(a__isNatIListKind(V2),V1,V2) constraint: a__U42(X1,X2,X3) >= U42(X1,X2,X3) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNatKind(V1),V1,V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt,V1,V2) >= a__U44(a__isNatIListKind(V2),V1,V2) constraint: a__U43(X1,X2,X3) >= U43(X1,X2,X3) constraint: a__U44(tt,V1,V2) >= a__U45(a__isNat(V1),V2) constraint: a__U44(X1,X2,X3) >= U44(X1,X2,X3) constraint: a__U45(tt,V2) >= a__U46(a__isNatIList(V2)) constraint: a__U45(X1,X2) >= U45(X1,X2) constraint: a__U46(tt) >= tt constraint: a__U46(X) >= U46(X) constraint: a__U52(tt) >= tt constraint: a__U52(X) >= U52(X) constraint: a__U51(tt,V2) >= a__U52(a__isNatIListKind(V2)) constraint: a__U51(X1,X2) >= U51(X1,X2) constraint: a__U62(tt) >= tt constraint: a__U62(X) >= U62(X) constraint: a__U61(tt,V2) >= a__U62(a__isNatIListKind(V2)) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U81(tt) >= tt constraint: a__U81(X) >= U81(X) constraint: a__U92(tt,V1,V2) >= a__U93(a__isNatIListKind(V2),V1,V2) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,V1,V2) >= a__U92(a__isNatKind(V1),V1,V2) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,V1,V2) >= a__U94(a__isNatIListKind(V2),V1,V2) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,V1,V2) >= a__U95(a__isNat(V1),V2) constraint: a__U94(X1,X2,X3) >= U94(X1,X2,X3) constraint: a__U95(tt,V2) >= a__U96(a__isNatList(V2)) constraint: a__U95(X1,X2) >= U95(X1,X2) constraint: a__U96(tt) >= tt constraint: a__U96(X) >= U96(X) constraint: a__take(0,IL) >= a__U121(a__isNatIList(IL),IL) constraint: a__take(s(M),cons(N,IL)) >= a__U131(a__isNatIList(IL),IL,M,N) constraint: a__take(X1,X2) >= take(X1,X2) constraint: Marked_a__U61(tt,V2) >= Marked_a__isNatIListKind(V2) constraint: Marked_a__U51(tt,V2) >= Marked_a__isNatIListKind(V2) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__U51(a__isNatKind( V1), V2) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(take(V1,V2)) >= Marked_a__U61(a__isNatKind( V1), V2) constraint: Marked_a__isNatIListKind(take(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) APPLY CRITERIA (Graph splitting) Found 2 components: { --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U102(tt,V1,V2) >= a__U103(a__isNatIListKind(V2),V1,V2) ; a__U102(X1,X2,X3) >= U102(X1,X2,X3) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U81(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U71(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; a__U101(tt,V1,V2) >= a__U102(a__isNatKind(V1),V1,V2) ; a__U101(X1,X2,X3) >= U101(X1,X2,X3) ; a__U103(tt,V1,V2) >= a__U104(a__isNatIListKind(V2),V1,V2) ; a__U103(X1,X2,X3) >= U103(X1,X2,X3) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(take(V1,V2)) >= a__U61(a__isNatKind(V1),V2) ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U104(tt,V1,V2) >= a__U105(a__isNat(V1),V2) ; a__U104(X1,X2,X3) >= U104(X1,X2,X3) ; a__U105(tt,V2) >= a__U106(a__isNatIList(V2)) ; a__U105(X1,X2) >= U105(X1,X2) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U106(tt) >= tt ; a__U106(X) >= U106(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__isNatKind(V1),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U112(tt,L,N) >= a__U113(a__isNat(N),L,N) ; a__U112(X1,X2,X3) >= U112(X1,X2,X3) ; a__U111(tt,L,N) >= a__U112(a__isNatIListKind(L),L,N) ; a__U111(X1,X2,X3) >= U111(X1,X2,X3) ; a__U113(tt,L,N) >= a__U114(a__isNatKind(N),L) ; a__U113(X1,X2,X3) >= U113(X1,X2,X3) ; a__U114(tt,L) >= s(a__length(mark(L))) ; a__U114(X1,X2) >= U114(X1,X2) ; a__length(cons(N,L)) >= a__U111(a__isNatList(L),L,N) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(nil) >= nil ; mark(take(X1,X2)) >= a__take(mark(X1),mark(X2)) ; mark(length(X)) >= a__length(mark(X)) ; mark(U101(X1,X2,X3)) >= a__U101(mark(X1),X2,X3) ; mark(U102(X1,X2,X3)) >= a__U102(mark(X1),X2,X3) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U103(X1,X2,X3)) >= a__U103(mark(X1),X2,X3) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U104(X1,X2,X3)) >= a__U104(mark(X1),X2,X3) ; mark(U105(X1,X2)) >= a__U105(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(U106(X)) >= a__U106(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(U111(X1,X2,X3)) >= a__U111(mark(X1),X2,X3) ; mark(U112(X1,X2,X3)) >= a__U112(mark(X1),X2,X3) ; mark(U113(X1,X2,X3)) >= a__U113(mark(X1),X2,X3) ; mark(U114(X1,X2)) >= a__U114(mark(X1),X2) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U121(X1,X2)) >= a__U121(mark(X1),X2) ; mark(U122(X)) >= a__U122(mark(X)) ; mark(U131(X1,X2,X3,X4)) >= a__U131(mark(X1),X2,X3,X4) ; mark(U132(X1,X2,X3,X4)) >= a__U132(mark(X1),X2,X3,X4) ; mark(U133(X1,X2,X3,X4)) >= a__U133(mark(X1),X2,X3,X4) ; mark(U134(X1,X2,X3,X4)) >= a__U134(mark(X1),X2,X3,X4) ; mark(U135(X1,X2,X3,X4)) >= a__U135(mark(X1),X2,X3,X4) ; mark(U136(X1,X2,X3,X4)) >= a__U136(mark(X1),X2,X3,X4) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X1,X2)) >= a__U32(mark(X1),X2) ; mark(U33(X)) >= a__U33(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2,X3)) >= a__U42(mark(X1),X2,X3) ; mark(U43(X1,X2,X3)) >= a__U43(mark(X1),X2,X3) ; mark(U44(X1,X2,X3)) >= a__U44(mark(X1),X2,X3) ; mark(U45(X1,X2)) >= a__U45(mark(X1),X2) ; mark(U46(X)) >= a__U46(mark(X)) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; mark(U62(X)) >= a__U62(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X)) >= a__U81(mark(X)) ; mark(U91(X1,X2,X3)) >= a__U91(mark(X1),X2,X3) ; mark(U92(X1,X2,X3)) >= a__U92(mark(X1),X2,X3) ; mark(U93(X1,X2,X3)) >= a__U93(mark(X1),X2,X3) ; mark(U94(X1,X2,X3)) >= a__U94(mark(X1),X2,X3) ; mark(U95(X1,X2)) >= a__U95(mark(X1),X2) ; mark(U96(X)) >= a__U96(mark(X)) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U91(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(take(V1,V2)) >= a__U101(a__isNatKind(V1),V1,V2) ; a__isNatList(X) >= isNatList(X) ; a__U122(tt) >= nil ; a__U122(X) >= U122(X) ; a__U121(tt,IL) >= a__U122(a__isNatIListKind(IL)) ; a__U121(X1,X2) >= U121(X1,X2) ; a__U132(tt,IL,M,N) >= a__U133(a__isNat(M),IL,M,N) ; a__U132(X1,X2,X3,X4) >= U132(X1,X2,X3,X4) ; a__U131(tt,IL,M,N) >= a__U132(a__isNatIListKind(IL),IL,M,N) ; a__U131(X1,X2,X3,X4) >= U131(X1,X2,X3,X4) ; a__U133(tt,IL,M,N) >= a__U134(a__isNatKind(M),IL,M,N) ; a__U133(X1,X2,X3,X4) >= U133(X1,X2,X3,X4) ; a__U134(tt,IL,M,N) >= a__U135(a__isNat(N),IL,M,N) ; a__U134(X1,X2,X3,X4) >= U134(X1,X2,X3,X4) ; a__U135(tt,IL,M,N) >= a__U136(a__isNatKind(N),IL,M,N) ; a__U135(X1,X2,X3,X4) >= U135(X1,X2,X3,X4) ; a__U136(tt,IL,M,N) >= cons(mark(N),take(M,IL)) ; a__U136(X1,X2,X3,X4) >= U136(X1,X2,X3,X4) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__U21(tt,V1) >= a__U22(a__isNatKind(V1),V1) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U23(tt) >= tt ; a__U23(X) >= U23(X) ; a__U32(tt,V) >= a__U33(a__isNatList(V)) ; a__U32(X1,X2) >= U32(X1,X2) ; a__U31(tt,V) >= a__U32(a__isNatIListKind(V),V) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U33(tt) >= tt ; a__U33(X) >= U33(X) ; a__U42(tt,V1,V2) >= a__U43(a__isNatIListKind(V2),V1,V2) ; a__U42(X1,X2,X3) >= U42(X1,X2,X3) ; a__U41(tt,V1,V2) >= a__U42(a__isNatKind(V1),V1,V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt,V1,V2) >= a__U44(a__isNatIListKind(V2),V1,V2) ; a__U43(X1,X2,X3) >= U43(X1,X2,X3) ; a__U44(tt,V1,V2) >= a__U45(a__isNat(V1),V2) ; a__U44(X1,X2,X3) >= U44(X1,X2,X3) ; a__U45(tt,V2) >= a__U46(a__isNatIList(V2)) ; a__U45(X1,X2) >= U45(X1,X2) ; a__U46(tt) >= tt ; a__U46(X) >= U46(X) ; a__U52(tt) >= tt ; a__U52(X) >= U52(X) ; a__U51(tt,V2) >= a__U52(a__isNatIListKind(V2)) ; a__U51(X1,X2) >= U51(X1,X2) ; a__U62(tt) >= tt ; a__U62(X) >= U62(X) ; a__U61(tt,V2) >= a__U62(a__isNatIListKind(V2)) ; a__U61(X1,X2) >= U61(X1,X2) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U81(tt) >= tt ; a__U81(X) >= U81(X) ; a__U92(tt,V1,V2) >= a__U93(a__isNatIListKind(V2),V1,V2) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,V1,V2) >= a__U92(a__isNatKind(V1),V1,V2) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,V1,V2) >= a__U94(a__isNatIListKind(V2),V1,V2) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,V1,V2) >= a__U95(a__isNat(V1),V2) ; a__U94(X1,X2,X3) >= U94(X1,X2,X3) ; a__U95(tt,V2) >= a__U96(a__isNatList(V2)) ; a__U95(X1,X2) >= U95(X1,X2) ; a__U96(tt) >= tt ; a__U96(X) >= U96(X) ; a__take(0,IL) >= a__U121(a__isNatIList(IL),IL) ; a__take(s(M),cons(N,IL)) >= a__U131(a__isNatIList(IL),IL,M,N) ; a__take(X1,X2) >= take(X1,X2) ; Marked_a__length(cons(N,L)) >= Marked_a__U111(a__isNatList(L),L,N) ; Marked_a__U114(tt,L) >= Marked_a__length(mark(L)) ; Marked_a__U113(tt,L,N) >= Marked_a__U114(a__isNatKind(N),L) ; Marked_a__U112(tt,L,N) >= Marked_a__U113(a__isNat(N),L,N) ; Marked_a__U111(tt,L,N) >= Marked_a__U112(a__isNatIListKind(L),L,N) ; } + Disjunctions:{ { Marked_a__length(cons(N,L)) > Marked_a__U111(a__isNatList(L),L,N) ; } { Marked_a__U114(tt,L) > Marked_a__length(mark(L)) ; } { Marked_a__U113(tt,L,N) > Marked_a__U114(a__isNatKind(N),L) ; } { Marked_a__U112(tt,L,N) > Marked_a__U113(a__isNat(N),L,N) ; } { Marked_a__U111(tt,L,N) > Marked_a__U112(a__isNatIListKind(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: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U102(tt,V1,V2) >= a__U103(a__isNatIListKind(V2),V1,V2) constraint: a__U102(X1,X2,X3) >= U102(X1,X2,X3) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U81(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U71(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) constraint: a__U101(tt,V1,V2) >= a__U102(a__isNatKind(V1),V1,V2) constraint: a__U101(X1,X2,X3) >= U101(X1,X2,X3) constraint: a__U103(tt,V1,V2) >= a__U104(a__isNatIListKind(V2),V1,V2) constraint: a__U103(X1,X2,X3) >= U103(X1,X2,X3) constraint: a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(take(V1,V2)) >= a__U61(a__isNatKind(V1),V2) constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__U104(tt,V1,V2) >= a__U105(a__isNat(V1),V2) constraint: a__U104(X1,X2,X3) >= U104(X1,X2,X3) constraint: a__U105(tt,V2) >= a__U106(a__isNatIList(V2)) constraint: a__U105(X1,X2) >= U105(X1,X2) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U106(tt) >= tt constraint: a__U106(X) >= U106(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__isNatKind(V1),V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U112(tt,L,N) >= a__U113(a__isNat(N),L,N) constraint: a__U112(X1,X2,X3) >= U112(X1,X2,X3) constraint: a__U111(tt,L,N) >= a__U112(a__isNatIListKind(L),L,N) constraint: a__U111(X1,X2,X3) >= U111(X1,X2,X3) constraint: a__U113(tt,L,N) >= a__U114(a__isNatKind(N),L) constraint: a__U113(X1,X2,X3) >= U113(X1,X2,X3) constraint: a__U114(tt,L) >= s(a__length(mark(L))) constraint: a__U114(X1,X2) >= U114(X1,X2) constraint: a__length(cons(N,L)) >= a__U111(a__isNatList(L),L,N) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(nil) >= nil constraint: mark(take(X1,X2)) >= a__take(mark(X1),mark(X2)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(U101(X1,X2,X3)) >= a__U101(mark(X1),X2,X3) constraint: mark(U102(X1,X2,X3)) >= a__U102(mark(X1),X2,X3) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U103(X1,X2,X3)) >= a__U103(mark(X1),X2,X3) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U104(X1,X2,X3)) >= a__U104(mark(X1),X2,X3) constraint: mark(U105(X1,X2)) >= a__U105(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(U106(X)) >= a__U106(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(U111(X1,X2,X3)) >= a__U111(mark(X1),X2,X3) constraint: mark(U112(X1,X2,X3)) >= a__U112(mark(X1),X2,X3) constraint: mark(U113(X1,X2,X3)) >= a__U113(mark(X1),X2,X3) constraint: mark(U114(X1,X2)) >= a__U114(mark(X1),X2) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U121(X1,X2)) >= a__U121(mark(X1),X2) constraint: mark(U122(X)) >= a__U122(mark(X)) constraint: mark(U131(X1,X2,X3,X4)) >= a__U131(mark(X1),X2,X3,X4) constraint: mark(U132(X1,X2,X3,X4)) >= a__U132(mark(X1),X2,X3,X4) constraint: mark(U133(X1,X2,X3,X4)) >= a__U133(mark(X1),X2,X3,X4) constraint: mark(U134(X1,X2,X3,X4)) >= a__U134(mark(X1),X2,X3,X4) constraint: mark(U135(X1,X2,X3,X4)) >= a__U135(mark(X1),X2,X3,X4) constraint: mark(U136(X1,X2,X3,X4)) >= a__U136(mark(X1),X2,X3,X4) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X1,X2)) >= a__U32(mark(X1),X2) constraint: mark(U33(X)) >= a__U33(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2,X3)) >= a__U42(mark(X1),X2,X3) constraint: mark(U43(X1,X2,X3)) >= a__U43(mark(X1),X2,X3) constraint: mark(U44(X1,X2,X3)) >= a__U44(mark(X1),X2,X3) constraint: mark(U45(X1,X2)) >= a__U45(mark(X1),X2) constraint: mark(U46(X)) >= a__U46(mark(X)) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: mark(U62(X)) >= a__U62(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X)) >= a__U81(mark(X)) constraint: mark(U91(X1,X2,X3)) >= a__U91(mark(X1),X2,X3) constraint: mark(U92(X1,X2,X3)) >= a__U92(mark(X1),X2,X3) constraint: mark(U93(X1,X2,X3)) >= a__U93(mark(X1),X2,X3) constraint: mark(U94(X1,X2,X3)) >= a__U94(mark(X1),X2,X3) constraint: mark(U95(X1,X2)) >= a__U95(mark(X1),X2) constraint: mark(U96(X)) >= a__U96(mark(X)) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U91(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(take(V1,V2)) >= a__U101(a__isNatKind(V1),V1,V2) constraint: a__isNatList(X) >= isNatList(X) constraint: a__U122(tt) >= nil constraint: a__U122(X) >= U122(X) constraint: a__U121(tt,IL) >= a__U122(a__isNatIListKind(IL)) constraint: a__U121(X1,X2) >= U121(X1,X2) constraint: a__U132(tt,IL,M,N) >= a__U133(a__isNat(M),IL,M,N) constraint: a__U132(X1,X2,X3,X4) >= U132(X1,X2,X3,X4) constraint: a__U131(tt,IL,M,N) >= a__U132(a__isNatIListKind(IL),IL,M,N) constraint: a__U131(X1,X2,X3,X4) >= U131(X1,X2,X3,X4) constraint: a__U133(tt,IL,M,N) >= a__U134(a__isNatKind(M),IL,M,N) constraint: a__U133(X1,X2,X3,X4) >= U133(X1,X2,X3,X4) constraint: a__U134(tt,IL,M,N) >= a__U135(a__isNat(N),IL,M,N) constraint: a__U134(X1,X2,X3,X4) >= U134(X1,X2,X3,X4) constraint: a__U135(tt,IL,M,N) >= a__U136(a__isNatKind(N),IL,M,N) constraint: a__U135(X1,X2,X3,X4) >= U135(X1,X2,X3,X4) constraint: a__U136(tt,IL,M,N) >= cons(mark(N),take(M,IL)) constraint: a__U136(X1,X2,X3,X4) >= U136(X1,X2,X3,X4) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__U21(tt,V1) >= a__U22(a__isNatKind(V1),V1) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U23(tt) >= tt constraint: a__U23(X) >= U23(X) constraint: a__U32(tt,V) >= a__U33(a__isNatList(V)) constraint: a__U32(X1,X2) >= U32(X1,X2) constraint: a__U31(tt,V) >= a__U32(a__isNatIListKind(V),V) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U33(tt) >= tt constraint: a__U33(X) >= U33(X) constraint: a__U42(tt,V1,V2) >= a__U43(a__isNatIListKind(V2),V1,V2) constraint: a__U42(X1,X2,X3) >= U42(X1,X2,X3) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNatKind(V1),V1,V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt,V1,V2) >= a__U44(a__isNatIListKind(V2),V1,V2) constraint: a__U43(X1,X2,X3) >= U43(X1,X2,X3) constraint: a__U44(tt,V1,V2) >= a__U45(a__isNat(V1),V2) constraint: a__U44(X1,X2,X3) >= U44(X1,X2,X3) constraint: a__U45(tt,V2) >= a__U46(a__isNatIList(V2)) constraint: a__U45(X1,X2) >= U45(X1,X2) constraint: a__U46(tt) >= tt constraint: a__U46(X) >= U46(X) constraint: a__U52(tt) >= tt constraint: a__U52(X) >= U52(X) constraint: a__U51(tt,V2) >= a__U52(a__isNatIListKind(V2)) constraint: a__U51(X1,X2) >= U51(X1,X2) constraint: a__U62(tt) >= tt constraint: a__U62(X) >= U62(X) constraint: a__U61(tt,V2) >= a__U62(a__isNatIListKind(V2)) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U81(tt) >= tt constraint: a__U81(X) >= U81(X) constraint: a__U92(tt,V1,V2) >= a__U93(a__isNatIListKind(V2),V1,V2) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,V1,V2) >= a__U92(a__isNatKind(V1),V1,V2) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,V1,V2) >= a__U94(a__isNatIListKind(V2),V1,V2) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,V1,V2) >= a__U95(a__isNat(V1),V2) constraint: a__U94(X1,X2,X3) >= U94(X1,X2,X3) constraint: a__U95(tt,V2) >= a__U96(a__isNatList(V2)) constraint: a__U95(X1,X2) >= U95(X1,X2) constraint: a__U96(tt) >= tt constraint: a__U96(X) >= U96(X) constraint: a__take(0,IL) >= a__U121(a__isNatIList(IL),IL) constraint: a__take(s(M),cons(N,IL)) >= a__U131(a__isNatIList(IL),IL,M,N) constraint: a__take(X1,X2) >= take(X1,X2) constraint: Marked_a__length(cons(N,L)) >= Marked_a__U111(a__isNatList(L),L,N) constraint: Marked_a__U114(tt,L) >= Marked_a__length(mark(L)) constraint: Marked_a__U113(tt,L,N) >= Marked_a__U114(a__isNatKind(N),L) constraint: Marked_a__U112(tt,L,N) >= Marked_a__U113(a__isNat(N),L,N) constraint: Marked_a__U111(tt,L,N) >= Marked_a__U112(a__isNatIListKind(L),L,N) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U102(tt,V1,V2) >= a__U103(a__isNatIListKind(V2),V1,V2) ; a__U102(X1,X2,X3) >= U102(X1,X2,X3) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U81(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U71(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; a__U101(tt,V1,V2) >= a__U102(a__isNatKind(V1),V1,V2) ; a__U101(X1,X2,X3) >= U101(X1,X2,X3) ; a__U103(tt,V1,V2) >= a__U104(a__isNatIListKind(V2),V1,V2) ; a__U103(X1,X2,X3) >= U103(X1,X2,X3) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(take(V1,V2)) >= a__U61(a__isNatKind(V1),V2) ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U104(tt,V1,V2) >= a__U105(a__isNat(V1),V2) ; a__U104(X1,X2,X3) >= U104(X1,X2,X3) ; a__U105(tt,V2) >= a__U106(a__isNatIList(V2)) ; a__U105(X1,X2) >= U105(X1,X2) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U106(tt) >= tt ; a__U106(X) >= U106(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__isNatKind(V1),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U112(tt,L,N) >= a__U113(a__isNat(N),L,N) ; a__U112(X1,X2,X3) >= U112(X1,X2,X3) ; a__U111(tt,L,N) >= a__U112(a__isNatIListKind(L),L,N) ; a__U111(X1,X2,X3) >= U111(X1,X2,X3) ; a__U113(tt,L,N) >= a__U114(a__isNatKind(N),L) ; a__U113(X1,X2,X3) >= U113(X1,X2,X3) ; a__U114(tt,L) >= s(a__length(mark(L))) ; a__U114(X1,X2) >= U114(X1,X2) ; a__length(cons(N,L)) >= a__U111(a__isNatList(L),L,N) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(nil) >= nil ; mark(take(X1,X2)) >= a__take(mark(X1),mark(X2)) ; mark(length(X)) >= a__length(mark(X)) ; mark(U101(X1,X2,X3)) >= a__U101(mark(X1),X2,X3) ; mark(U102(X1,X2,X3)) >= a__U102(mark(X1),X2,X3) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U103(X1,X2,X3)) >= a__U103(mark(X1),X2,X3) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U104(X1,X2,X3)) >= a__U104(mark(X1),X2,X3) ; mark(U105(X1,X2)) >= a__U105(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(U106(X)) >= a__U106(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(U111(X1,X2,X3)) >= a__U111(mark(X1),X2,X3) ; mark(U112(X1,X2,X3)) >= a__U112(mark(X1),X2,X3) ; mark(U113(X1,X2,X3)) >= a__U113(mark(X1),X2,X3) ; mark(U114(X1,X2)) >= a__U114(mark(X1),X2) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U121(X1,X2)) >= a__U121(mark(X1),X2) ; mark(U122(X)) >= a__U122(mark(X)) ; mark(U131(X1,X2,X3,X4)) >= a__U131(mark(X1),X2,X3,X4) ; mark(U132(X1,X2,X3,X4)) >= a__U132(mark(X1),X2,X3,X4) ; mark(U133(X1,X2,X3,X4)) >= a__U133(mark(X1),X2,X3,X4) ; mark(U134(X1,X2,X3,X4)) >= a__U134(mark(X1),X2,X3,X4) ; mark(U135(X1,X2,X3,X4)) >= a__U135(mark(X1),X2,X3,X4) ; mark(U136(X1,X2,X3,X4)) >= a__U136(mark(X1),X2,X3,X4) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X1,X2)) >= a__U32(mark(X1),X2) ; mark(U33(X)) >= a__U33(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2,X3)) >= a__U42(mark(X1),X2,X3) ; mark(U43(X1,X2,X3)) >= a__U43(mark(X1),X2,X3) ; mark(U44(X1,X2,X3)) >= a__U44(mark(X1),X2,X3) ; mark(U45(X1,X2)) >= a__U45(mark(X1),X2) ; mark(U46(X)) >= a__U46(mark(X)) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; mark(U62(X)) >= a__U62(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X)) >= a__U81(mark(X)) ; mark(U91(X1,X2,X3)) >= a__U91(mark(X1),X2,X3) ; mark(U92(X1,X2,X3)) >= a__U92(mark(X1),X2,X3) ; mark(U93(X1,X2,X3)) >= a__U93(mark(X1),X2,X3) ; mark(U94(X1,X2,X3)) >= a__U94(mark(X1),X2,X3) ; mark(U95(X1,X2)) >= a__U95(mark(X1),X2) ; mark(U96(X)) >= a__U96(mark(X)) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U91(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(take(V1,V2)) >= a__U101(a__isNatKind(V1),V1,V2) ; a__isNatList(X) >= isNatList(X) ; a__U122(tt) >= nil ; a__U122(X) >= U122(X) ; a__U121(tt,IL) >= a__U122(a__isNatIListKind(IL)) ; a__U121(X1,X2) >= U121(X1,X2) ; a__U132(tt,IL,M,N) >= a__U133(a__isNat(M),IL,M,N) ; a__U132(X1,X2,X3,X4) >= U132(X1,X2,X3,X4) ; a__U131(tt,IL,M,N) >= a__U132(a__isNatIListKind(IL),IL,M,N) ; a__U131(X1,X2,X3,X4) >= U131(X1,X2,X3,X4) ; a__U133(tt,IL,M,N) >= a__U134(a__isNatKind(M),IL,M,N) ; a__U133(X1,X2,X3,X4) >= U133(X1,X2,X3,X4) ; a__U134(tt,IL,M,N) >= a__U135(a__isNat(N),IL,M,N) ; a__U134(X1,X2,X3,X4) >= U134(X1,X2,X3,X4) ; a__U135(tt,IL,M,N) >= a__U136(a__isNatKind(N),IL,M,N) ; a__U135(X1,X2,X3,X4) >= U135(X1,X2,X3,X4) ; a__U136(tt,IL,M,N) >= cons(mark(N),take(M,IL)) ; a__U136(X1,X2,X3,X4) >= U136(X1,X2,X3,X4) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__U21(tt,V1) >= a__U22(a__isNatKind(V1),V1) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U23(tt) >= tt ; a__U23(X) >= U23(X) ; a__U32(tt,V) >= a__U33(a__isNatList(V)) ; a__U32(X1,X2) >= U32(X1,X2) ; a__U31(tt,V) >= a__U32(a__isNatIListKind(V),V) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U33(tt) >= tt ; a__U33(X) >= U33(X) ; a__U42(tt,V1,V2) >= a__U43(a__isNatIListKind(V2),V1,V2) ; a__U42(X1,X2,X3) >= U42(X1,X2,X3) ; a__U41(tt,V1,V2) >= a__U42(a__isNatKind(V1),V1,V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt,V1,V2) >= a__U44(a__isNatIListKind(V2),V1,V2) ; a__U43(X1,X2,X3) >= U43(X1,X2,X3) ; a__U44(tt,V1,V2) >= a__U45(a__isNat(V1),V2) ; a__U44(X1,X2,X3) >= U44(X1,X2,X3) ; a__U45(tt,V2) >= a__U46(a__isNatIList(V2)) ; a__U45(X1,X2) >= U45(X1,X2) ; a__U46(tt) >= tt ; a__U46(X) >= U46(X) ; a__U52(tt) >= tt ; a__U52(X) >= U52(X) ; a__U51(tt,V2) >= a__U52(a__isNatIListKind(V2)) ; a__U51(X1,X2) >= U51(X1,X2) ; a__U62(tt) >= tt ; a__U62(X) >= U62(X) ; a__U61(tt,V2) >= a__U62(a__isNatIListKind(V2)) ; a__U61(X1,X2) >= U61(X1,X2) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U81(tt) >= tt ; a__U81(X) >= U81(X) ; a__U92(tt,V1,V2) >= a__U93(a__isNatIListKind(V2),V1,V2) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,V1,V2) >= a__U92(a__isNatKind(V1),V1,V2) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,V1,V2) >= a__U94(a__isNatIListKind(V2),V1,V2) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,V1,V2) >= a__U95(a__isNat(V1),V2) ; a__U94(X1,X2,X3) >= U94(X1,X2,X3) ; a__U95(tt,V2) >= a__U96(a__isNatList(V2)) ; a__U95(X1,X2) >= U95(X1,X2) ; a__U96(tt) >= tt ; a__U96(X) >= U96(X) ; a__take(0,IL) >= a__U121(a__isNatIList(IL),IL) ; a__take(s(M),cons(N,IL)) >= a__U131(a__isNatIList(IL),IL,M,N) ; a__take(X1,X2) >= take(X1,X2) ; Marked_a__take(s(M),cons(N,IL)) >= Marked_a__U131(a__isNatIList(IL),IL,M,N) ; Marked_a__U136(tt,IL,M,N) >= Marked_mark(N) ; Marked_a__U135(tt,IL,M,N) >= Marked_a__U136(a__isNatKind(N),IL,M,N) ; Marked_a__U134(tt,IL,M,N) >= Marked_a__U135(a__isNat(N),IL,M,N) ; Marked_a__U133(tt,IL,M,N) >= Marked_a__U134(a__isNatKind(M),IL,M,N) ; Marked_a__U132(tt,IL,M,N) >= Marked_a__U133(a__isNat(M),IL,M,N) ; Marked_a__U131(tt,IL,M,N) >= Marked_a__U132(a__isNatIListKind(IL),IL,M,N) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(take(X1,X2)) >= Marked_a__take(mark(X1),mark(X2)) ; Marked_mark(take(X1,X2)) >= Marked_mark(X1) ; Marked_mark(take(X1,X2)) >= Marked_mark(X2) ; Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U105(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U106(X)) >= Marked_mark(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(U121(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U122(X)) >= Marked_mark(X) ; Marked_mark(U131(X1,X2,X3,X4)) >= Marked_a__U131(mark(X1),X2,X3,X4) ; Marked_mark(U131(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U132(X1,X2,X3,X4)) >= Marked_a__U132(mark(X1),X2,X3,X4) ; Marked_mark(U132(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U133(X1,X2,X3,X4)) >= Marked_a__U133(mark(X1),X2,X3,X4) ; Marked_mark(U133(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U134(X1,X2,X3,X4)) >= Marked_a__U134(mark(X1),X2,X3,X4) ; Marked_mark(U134(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U135(X1,X2,X3,X4)) >= Marked_a__U135(mark(X1),X2,X3,X4) ; Marked_mark(U135(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U136(X1,X2,X3,X4)) >= Marked_a__U136(mark(X1),X2,X3,X4) ; Marked_mark(U136(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U62(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U95(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U96(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__take(s(M),cons(N,IL)) > Marked_a__U131(a__isNatIList(IL),IL,M,N) ; } { Marked_a__U136(tt,IL,M,N) > Marked_mark(N) ; } { Marked_a__U135(tt,IL,M,N) > Marked_a__U136(a__isNatKind(N),IL,M,N) ; } { Marked_a__U134(tt,IL,M,N) > Marked_a__U135(a__isNat(N),IL,M,N) ; } { Marked_a__U133(tt,IL,M,N) > Marked_a__U134(a__isNatKind(M),IL,M,N) ; } { Marked_a__U132(tt,IL,M,N) > Marked_a__U133(a__isNat(M),IL,M,N) ; } { Marked_a__U131(tt,IL,M,N) > Marked_a__U132(a__isNatIListKind(IL),IL,M,N) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(take(X1,X2)) > Marked_a__take(mark(X1),mark(X2)) ; } { Marked_mark(take(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(take(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U102(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U105(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U106(X)) > Marked_mark(X) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(U121(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U122(X)) > Marked_mark(X) ; } { Marked_mark(U131(X1,X2,X3,X4)) > Marked_a__U131(mark(X1),X2,X3,X4) ; } { Marked_mark(U131(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U132(X1,X2,X3,X4)) > Marked_a__U132(mark(X1),X2,X3,X4) ; } { Marked_mark(U132(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U133(X1,X2,X3,X4)) > Marked_a__U133(mark(X1),X2,X3,X4) ; } { Marked_mark(U133(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U134(X1,X2,X3,X4)) > Marked_a__U134(mark(X1),X2,X3,X4) ; } { Marked_mark(U134(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U135(X1,X2,X3,X4)) > Marked_a__U135(mark(X1),X2,X3,X4) ; } { Marked_mark(U135(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U136(X1,X2,X3,X4)) > Marked_a__U136(mark(X1),X2,X3,X4) ; } { Marked_mark(U136(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U62(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U95(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U96(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U102(tt,V1,V2) >= a__U103(a__isNatIListKind(V2),V1,V2) constraint: a__U102(X1,X2,X3) >= U102(X1,X2,X3) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U81(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U71(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) constraint: a__U101(tt,V1,V2) >= a__U102(a__isNatKind(V1),V1,V2) constraint: a__U101(X1,X2,X3) >= U101(X1,X2,X3) constraint: a__U103(tt,V1,V2) >= a__U104(a__isNatIListKind(V2),V1,V2) constraint: a__U103(X1,X2,X3) >= U103(X1,X2,X3) constraint: a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(take(V1,V2)) >= a__U61(a__isNatKind(V1),V2) constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__U104(tt,V1,V2) >= a__U105(a__isNat(V1),V2) constraint: a__U104(X1,X2,X3) >= U104(X1,X2,X3) constraint: a__U105(tt,V2) >= a__U106(a__isNatIList(V2)) constraint: a__U105(X1,X2) >= U105(X1,X2) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U106(tt) >= tt constraint: a__U106(X) >= U106(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__isNatKind(V1),V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U112(tt,L,N) >= a__U113(a__isNat(N),L,N) constraint: a__U112(X1,X2,X3) >= U112(X1,X2,X3) constraint: a__U111(tt,L,N) >= a__U112(a__isNatIListKind(L),L,N) constraint: a__U111(X1,X2,X3) >= U111(X1,X2,X3) constraint: a__U113(tt,L,N) >= a__U114(a__isNatKind(N),L) constraint: a__U113(X1,X2,X3) >= U113(X1,X2,X3) constraint: a__U114(tt,L) >= s(a__length(mark(L))) constraint: a__U114(X1,X2) >= U114(X1,X2) constraint: a__length(cons(N,L)) >= a__U111(a__isNatList(L),L,N) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(nil) >= nil constraint: mark(take(X1,X2)) >= a__take(mark(X1),mark(X2)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(U101(X1,X2,X3)) >= a__U101(mark(X1),X2,X3) constraint: mark(U102(X1,X2,X3)) >= a__U102(mark(X1),X2,X3) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U103(X1,X2,X3)) >= a__U103(mark(X1),X2,X3) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U104(X1,X2,X3)) >= a__U104(mark(X1),X2,X3) constraint: mark(U105(X1,X2)) >= a__U105(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(U106(X)) >= a__U106(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(U111(X1,X2,X3)) >= a__U111(mark(X1),X2,X3) constraint: mark(U112(X1,X2,X3)) >= a__U112(mark(X1),X2,X3) constraint: mark(U113(X1,X2,X3)) >= a__U113(mark(X1),X2,X3) constraint: mark(U114(X1,X2)) >= a__U114(mark(X1),X2) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U121(X1,X2)) >= a__U121(mark(X1),X2) constraint: mark(U122(X)) >= a__U122(mark(X)) constraint: mark(U131(X1,X2,X3,X4)) >= a__U131(mark(X1),X2,X3,X4) constraint: mark(U132(X1,X2,X3,X4)) >= a__U132(mark(X1),X2,X3,X4) constraint: mark(U133(X1,X2,X3,X4)) >= a__U133(mark(X1),X2,X3,X4) constraint: mark(U134(X1,X2,X3,X4)) >= a__U134(mark(X1),X2,X3,X4) constraint: mark(U135(X1,X2,X3,X4)) >= a__U135(mark(X1),X2,X3,X4) constraint: mark(U136(X1,X2,X3,X4)) >= a__U136(mark(X1),X2,X3,X4) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X1,X2)) >= a__U32(mark(X1),X2) constraint: mark(U33(X)) >= a__U33(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2,X3)) >= a__U42(mark(X1),X2,X3) constraint: mark(U43(X1,X2,X3)) >= a__U43(mark(X1),X2,X3) constraint: mark(U44(X1,X2,X3)) >= a__U44(mark(X1),X2,X3) constraint: mark(U45(X1,X2)) >= a__U45(mark(X1),X2) constraint: mark(U46(X)) >= a__U46(mark(X)) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: mark(U62(X)) >= a__U62(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X)) >= a__U81(mark(X)) constraint: mark(U91(X1,X2,X3)) >= a__U91(mark(X1),X2,X3) constraint: mark(U92(X1,X2,X3)) >= a__U92(mark(X1),X2,X3) constraint: mark(U93(X1,X2,X3)) >= a__U93(mark(X1),X2,X3) constraint: mark(U94(X1,X2,X3)) >= a__U94(mark(X1),X2,X3) constraint: mark(U95(X1,X2)) >= a__U95(mark(X1),X2) constraint: mark(U96(X)) >= a__U96(mark(X)) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U91(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(take(V1,V2)) >= a__U101(a__isNatKind(V1),V1,V2) constraint: a__isNatList(X) >= isNatList(X) constraint: a__U122(tt) >= nil constraint: a__U122(X) >= U122(X) constraint: a__U121(tt,IL) >= a__U122(a__isNatIListKind(IL)) constraint: a__U121(X1,X2) >= U121(X1,X2) constraint: a__U132(tt,IL,M,N) >= a__U133(a__isNat(M),IL,M,N) constraint: a__U132(X1,X2,X3,X4) >= U132(X1,X2,X3,X4) constraint: a__U131(tt,IL,M,N) >= a__U132(a__isNatIListKind(IL),IL,M,N) constraint: a__U131(X1,X2,X3,X4) >= U131(X1,X2,X3,X4) constraint: a__U133(tt,IL,M,N) >= a__U134(a__isNatKind(M),IL,M,N) constraint: a__U133(X1,X2,X3,X4) >= U133(X1,X2,X3,X4) constraint: a__U134(tt,IL,M,N) >= a__U135(a__isNat(N),IL,M,N) constraint: a__U134(X1,X2,X3,X4) >= U134(X1,X2,X3,X4) constraint: a__U135(tt,IL,M,N) >= a__U136(a__isNatKind(N),IL,M,N) constraint: a__U135(X1,X2,X3,X4) >= U135(X1,X2,X3,X4) constraint: a__U136(tt,IL,M,N) >= cons(mark(N),take(M,IL)) constraint: a__U136(X1,X2,X3,X4) >= U136(X1,X2,X3,X4) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__U21(tt,V1) >= a__U22(a__isNatKind(V1),V1) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U23(tt) >= tt constraint: a__U23(X) >= U23(X) constraint: a__U32(tt,V) >= a__U33(a__isNatList(V)) constraint: a__U32(X1,X2) >= U32(X1,X2) constraint: a__U31(tt,V) >= a__U32(a__isNatIListKind(V),V) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U33(tt) >= tt constraint: a__U33(X) >= U33(X) constraint: a__U42(tt,V1,V2) >= a__U43(a__isNatIListKind(V2),V1,V2) constraint: a__U42(X1,X2,X3) >= U42(X1,X2,X3) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNatKind(V1),V1,V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt,V1,V2) >= a__U44(a__isNatIListKind(V2),V1,V2) constraint: a__U43(X1,X2,X3) >= U43(X1,X2,X3) constraint: a__U44(tt,V1,V2) >= a__U45(a__isNat(V1),V2) constraint: a__U44(X1,X2,X3) >= U44(X1,X2,X3) constraint: a__U45(tt,V2) >= a__U46(a__isNatIList(V2)) constraint: a__U45(X1,X2) >= U45(X1,X2) constraint: a__U46(tt) >= tt constraint: a__U46(X) >= U46(X) constraint: a__U52(tt) >= tt constraint: a__U52(X) >= U52(X) constraint: a__U51(tt,V2) >= a__U52(a__isNatIListKind(V2)) constraint: a__U51(X1,X2) >= U51(X1,X2) constraint: a__U62(tt) >= tt constraint: a__U62(X) >= U62(X) constraint: a__U61(tt,V2) >= a__U62(a__isNatIListKind(V2)) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U81(tt) >= tt constraint: a__U81(X) >= U81(X) constraint: a__U92(tt,V1,V2) >= a__U93(a__isNatIListKind(V2),V1,V2) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,V1,V2) >= a__U92(a__isNatKind(V1),V1,V2) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,V1,V2) >= a__U94(a__isNatIListKind(V2),V1,V2) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,V1,V2) >= a__U95(a__isNat(V1),V2) constraint: a__U94(X1,X2,X3) >= U94(X1,X2,X3) constraint: a__U95(tt,V2) >= a__U96(a__isNatList(V2)) constraint: a__U95(X1,X2) >= U95(X1,X2) constraint: a__U96(tt) >= tt constraint: a__U96(X) >= U96(X) constraint: a__take(0,IL) >= a__U121(a__isNatIList(IL),IL) constraint: a__take(s(M),cons(N,IL)) >= a__U131(a__isNatIList(IL),IL,M,N) constraint: a__take(X1,X2) >= take(X1,X2) constraint: Marked_a__take(s(M),cons(N,IL)) >= Marked_a__U131(a__isNatIList(IL), IL,M,N) constraint: Marked_a__U136(tt,IL,M,N) >= Marked_mark(N) constraint: Marked_a__U135(tt,IL,M,N) >= Marked_a__U136(a__isNatKind(N),IL,M,N) constraint: Marked_a__U134(tt,IL,M,N) >= Marked_a__U135(a__isNat(N),IL,M,N) constraint: Marked_a__U133(tt,IL,M,N) >= Marked_a__U134(a__isNatKind(M),IL,M,N) constraint: Marked_a__U132(tt,IL,M,N) >= Marked_a__U133(a__isNat(M),IL,M,N) constraint: Marked_a__U131(tt,IL,M,N) >= Marked_a__U132(a__isNatIListKind(IL), IL,M,N) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(take(X1,X2)) >= Marked_a__take(mark(X1),mark(X2)) constraint: Marked_mark(take(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(take(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U105(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U106(X)) >= Marked_mark(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(U121(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U122(X)) >= Marked_mark(X) constraint: Marked_mark(U131(X1,X2,X3,X4)) >= Marked_a__U131(mark(X1),X2,X3,X4) constraint: Marked_mark(U131(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U132(X1,X2,X3,X4)) >= Marked_a__U132(mark(X1),X2,X3,X4) constraint: Marked_mark(U132(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U133(X1,X2,X3,X4)) >= Marked_a__U133(mark(X1),X2,X3,X4) constraint: Marked_mark(U133(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U134(X1,X2,X3,X4)) >= Marked_a__U134(mark(X1),X2,X3,X4) constraint: Marked_mark(U134(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U135(X1,X2,X3,X4)) >= Marked_a__U135(mark(X1),X2,X3,X4) constraint: Marked_mark(U135(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U136(X1,X2,X3,X4)) >= Marked_a__U136(mark(X1),X2,X3,X4) constraint: Marked_mark(U136(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U62(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U95(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U96(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U102(tt,V1,V2) >= a__U103(a__isNatIListKind(V2),V1,V2) ; a__U102(X1,X2,X3) >= U102(X1,X2,X3) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U81(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U71(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; a__U101(tt,V1,V2) >= a__U102(a__isNatKind(V1),V1,V2) ; a__U101(X1,X2,X3) >= U101(X1,X2,X3) ; a__U103(tt,V1,V2) >= a__U104(a__isNatIListKind(V2),V1,V2) ; a__U103(X1,X2,X3) >= U103(X1,X2,X3) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(take(V1,V2)) >= a__U61(a__isNatKind(V1),V2) ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U104(tt,V1,V2) >= a__U105(a__isNat(V1),V2) ; a__U104(X1,X2,X3) >= U104(X1,X2,X3) ; a__U105(tt,V2) >= a__U106(a__isNatIList(V2)) ; a__U105(X1,X2) >= U105(X1,X2) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U106(tt) >= tt ; a__U106(X) >= U106(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__isNatKind(V1),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U112(tt,L,N) >= a__U113(a__isNat(N),L,N) ; a__U112(X1,X2,X3) >= U112(X1,X2,X3) ; a__U111(tt,L,N) >= a__U112(a__isNatIListKind(L),L,N) ; a__U111(X1,X2,X3) >= U111(X1,X2,X3) ; a__U113(tt,L,N) >= a__U114(a__isNatKind(N),L) ; a__U113(X1,X2,X3) >= U113(X1,X2,X3) ; a__U114(tt,L) >= s(a__length(mark(L))) ; a__U114(X1,X2) >= U114(X1,X2) ; a__length(cons(N,L)) >= a__U111(a__isNatList(L),L,N) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(nil) >= nil ; mark(take(X1,X2)) >= a__take(mark(X1),mark(X2)) ; mark(length(X)) >= a__length(mark(X)) ; mark(U101(X1,X2,X3)) >= a__U101(mark(X1),X2,X3) ; mark(U102(X1,X2,X3)) >= a__U102(mark(X1),X2,X3) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U103(X1,X2,X3)) >= a__U103(mark(X1),X2,X3) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U104(X1,X2,X3)) >= a__U104(mark(X1),X2,X3) ; mark(U105(X1,X2)) >= a__U105(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(U106(X)) >= a__U106(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(U111(X1,X2,X3)) >= a__U111(mark(X1),X2,X3) ; mark(U112(X1,X2,X3)) >= a__U112(mark(X1),X2,X3) ; mark(U113(X1,X2,X3)) >= a__U113(mark(X1),X2,X3) ; mark(U114(X1,X2)) >= a__U114(mark(X1),X2) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U121(X1,X2)) >= a__U121(mark(X1),X2) ; mark(U122(X)) >= a__U122(mark(X)) ; mark(U131(X1,X2,X3,X4)) >= a__U131(mark(X1),X2,X3,X4) ; mark(U132(X1,X2,X3,X4)) >= a__U132(mark(X1),X2,X3,X4) ; mark(U133(X1,X2,X3,X4)) >= a__U133(mark(X1),X2,X3,X4) ; mark(U134(X1,X2,X3,X4)) >= a__U134(mark(X1),X2,X3,X4) ; mark(U135(X1,X2,X3,X4)) >= a__U135(mark(X1),X2,X3,X4) ; mark(U136(X1,X2,X3,X4)) >= a__U136(mark(X1),X2,X3,X4) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X1,X2)) >= a__U32(mark(X1),X2) ; mark(U33(X)) >= a__U33(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2,X3)) >= a__U42(mark(X1),X2,X3) ; mark(U43(X1,X2,X3)) >= a__U43(mark(X1),X2,X3) ; mark(U44(X1,X2,X3)) >= a__U44(mark(X1),X2,X3) ; mark(U45(X1,X2)) >= a__U45(mark(X1),X2) ; mark(U46(X)) >= a__U46(mark(X)) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; mark(U62(X)) >= a__U62(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X)) >= a__U81(mark(X)) ; mark(U91(X1,X2,X3)) >= a__U91(mark(X1),X2,X3) ; mark(U92(X1,X2,X3)) >= a__U92(mark(X1),X2,X3) ; mark(U93(X1,X2,X3)) >= a__U93(mark(X1),X2,X3) ; mark(U94(X1,X2,X3)) >= a__U94(mark(X1),X2,X3) ; mark(U95(X1,X2)) >= a__U95(mark(X1),X2) ; mark(U96(X)) >= a__U96(mark(X)) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U91(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(take(V1,V2)) >= a__U101(a__isNatKind(V1),V1,V2) ; a__isNatList(X) >= isNatList(X) ; a__U122(tt) >= nil ; a__U122(X) >= U122(X) ; a__U121(tt,IL) >= a__U122(a__isNatIListKind(IL)) ; a__U121(X1,X2) >= U121(X1,X2) ; a__U132(tt,IL,M,N) >= a__U133(a__isNat(M),IL,M,N) ; a__U132(X1,X2,X3,X4) >= U132(X1,X2,X3,X4) ; a__U131(tt,IL,M,N) >= a__U132(a__isNatIListKind(IL),IL,M,N) ; a__U131(X1,X2,X3,X4) >= U131(X1,X2,X3,X4) ; a__U133(tt,IL,M,N) >= a__U134(a__isNatKind(M),IL,M,N) ; a__U133(X1,X2,X3,X4) >= U133(X1,X2,X3,X4) ; a__U134(tt,IL,M,N) >= a__U135(a__isNat(N),IL,M,N) ; a__U134(X1,X2,X3,X4) >= U134(X1,X2,X3,X4) ; a__U135(tt,IL,M,N) >= a__U136(a__isNatKind(N),IL,M,N) ; a__U135(X1,X2,X3,X4) >= U135(X1,X2,X3,X4) ; a__U136(tt,IL,M,N) >= cons(mark(N),take(M,IL)) ; a__U136(X1,X2,X3,X4) >= U136(X1,X2,X3,X4) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__U21(tt,V1) >= a__U22(a__isNatKind(V1),V1) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U23(tt) >= tt ; a__U23(X) >= U23(X) ; a__U32(tt,V) >= a__U33(a__isNatList(V)) ; a__U32(X1,X2) >= U32(X1,X2) ; a__U31(tt,V) >= a__U32(a__isNatIListKind(V),V) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U33(tt) >= tt ; a__U33(X) >= U33(X) ; a__U42(tt,V1,V2) >= a__U43(a__isNatIListKind(V2),V1,V2) ; a__U42(X1,X2,X3) >= U42(X1,X2,X3) ; a__U41(tt,V1,V2) >= a__U42(a__isNatKind(V1),V1,V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt,V1,V2) >= a__U44(a__isNatIListKind(V2),V1,V2) ; a__U43(X1,X2,X3) >= U43(X1,X2,X3) ; a__U44(tt,V1,V2) >= a__U45(a__isNat(V1),V2) ; a__U44(X1,X2,X3) >= U44(X1,X2,X3) ; a__U45(tt,V2) >= a__U46(a__isNatIList(V2)) ; a__U45(X1,X2) >= U45(X1,X2) ; a__U46(tt) >= tt ; a__U46(X) >= U46(X) ; a__U52(tt) >= tt ; a__U52(X) >= U52(X) ; a__U51(tt,V2) >= a__U52(a__isNatIListKind(V2)) ; a__U51(X1,X2) >= U51(X1,X2) ; a__U62(tt) >= tt ; a__U62(X) >= U62(X) ; a__U61(tt,V2) >= a__U62(a__isNatIListKind(V2)) ; a__U61(X1,X2) >= U61(X1,X2) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U81(tt) >= tt ; a__U81(X) >= U81(X) ; a__U92(tt,V1,V2) >= a__U93(a__isNatIListKind(V2),V1,V2) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,V1,V2) >= a__U92(a__isNatKind(V1),V1,V2) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,V1,V2) >= a__U94(a__isNatIListKind(V2),V1,V2) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,V1,V2) >= a__U95(a__isNat(V1),V2) ; a__U94(X1,X2,X3) >= U94(X1,X2,X3) ; a__U95(tt,V2) >= a__U96(a__isNatList(V2)) ; a__U95(X1,X2) >= U95(X1,X2) ; a__U96(tt) >= tt ; a__U96(X) >= U96(X) ; a__take(0,IL) >= a__U121(a__isNatIList(IL),IL) ; a__take(s(M),cons(N,IL)) >= a__U131(a__isNatIList(IL),IL,M,N) ; a__take(X1,X2) >= take(X1,X2) ; Marked_a__take(s(M),cons(N,IL)) >= Marked_a__U131(a__isNatIList(IL),IL,M,N) ; Marked_a__U136(tt,IL,M,N) >= Marked_mark(N) ; Marked_a__U135(tt,IL,M,N) >= Marked_a__U136(a__isNatKind(N),IL,M,N) ; Marked_a__U134(tt,IL,M,N) >= Marked_a__U135(a__isNat(N),IL,M,N) ; Marked_a__U133(tt,IL,M,N) >= Marked_a__U134(a__isNatKind(M),IL,M,N) ; Marked_a__U132(tt,IL,M,N) >= Marked_a__U133(a__isNat(M),IL,M,N) ; Marked_a__U131(tt,IL,M,N) >= Marked_a__U132(a__isNatIListKind(IL),IL,M,N) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(take(X1,X2)) >= Marked_a__take(mark(X1),mark(X2)) ; Marked_mark(take(X1,X2)) >= Marked_mark(X1) ; Marked_mark(take(X1,X2)) >= Marked_mark(X2) ; Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U105(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U106(X)) >= Marked_mark(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(U122(X)) >= Marked_mark(X) ; Marked_mark(U131(X1,X2,X3,X4)) >= Marked_a__U131(mark(X1),X2,X3,X4) ; Marked_mark(U131(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U132(X1,X2,X3,X4)) >= Marked_a__U132(mark(X1),X2,X3,X4) ; Marked_mark(U132(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U133(X1,X2,X3,X4)) >= Marked_a__U133(mark(X1),X2,X3,X4) ; Marked_mark(U133(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U134(X1,X2,X3,X4)) >= Marked_a__U134(mark(X1),X2,X3,X4) ; Marked_mark(U134(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U135(X1,X2,X3,X4)) >= Marked_a__U135(mark(X1),X2,X3,X4) ; Marked_mark(U135(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U136(X1,X2,X3,X4)) >= Marked_a__U136(mark(X1),X2,X3,X4) ; Marked_mark(U136(X1,X2,X3,X4)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U45(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U62(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U95(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U96(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__take(s(M),cons(N,IL)) > Marked_a__U131(a__isNatIList(IL),IL,M,N) ; } { Marked_a__U136(tt,IL,M,N) > Marked_mark(N) ; } { Marked_a__U135(tt,IL,M,N) > Marked_a__U136(a__isNatKind(N),IL,M,N) ; } { Marked_a__U134(tt,IL,M,N) > Marked_a__U135(a__isNat(N),IL,M,N) ; } { Marked_a__U133(tt,IL,M,N) > Marked_a__U134(a__isNatKind(M),IL,M,N) ; } { Marked_a__U132(tt,IL,M,N) > Marked_a__U133(a__isNat(M),IL,M,N) ; } { Marked_a__U131(tt,IL,M,N) > Marked_a__U132(a__isNatIListKind(IL),IL,M,N) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(take(X1,X2)) > Marked_a__take(mark(X1),mark(X2)) ; } { Marked_mark(take(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(take(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U102(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U105(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U106(X)) > Marked_mark(X) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(U122(X)) > Marked_mark(X) ; } { Marked_mark(U131(X1,X2,X3,X4)) > Marked_a__U131(mark(X1),X2,X3,X4) ; } { Marked_mark(U131(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U132(X1,X2,X3,X4)) > Marked_a__U132(mark(X1),X2,X3,X4) ; } { Marked_mark(U132(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U133(X1,X2,X3,X4)) > Marked_a__U133(mark(X1),X2,X3,X4) ; } { Marked_mark(U133(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U134(X1,X2,X3,X4)) > Marked_a__U134(mark(X1),X2,X3,X4) ; } { Marked_mark(U134(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U135(X1,X2,X3,X4)) > Marked_a__U135(mark(X1),X2,X3,X4) ; } { Marked_mark(U135(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U136(X1,X2,X3,X4)) > Marked_a__U136(mark(X1),X2,X3,X4) ; } { Marked_mark(U136(X1,X2,X3,X4)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U43(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U44(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U45(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U62(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U95(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U96(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U102(tt,V1,V2) >= a__U103(a__isNatIListKind(V2),V1,V2) constraint: a__U102(X1,X2,X3) >= U102(X1,X2,X3) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U81(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U71(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) constraint: a__U101(tt,V1,V2) >= a__U102(a__isNatKind(V1),V1,V2) constraint: a__U101(X1,X2,X3) >= U101(X1,X2,X3) constraint: a__U103(tt,V1,V2) >= a__U104(a__isNatIListKind(V2),V1,V2) constraint: a__U103(X1,X2,X3) >= U103(X1,X2,X3) constraint: a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(take(V1,V2)) >= a__U61(a__isNatKind(V1),V2) constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__U104(tt,V1,V2) >= a__U105(a__isNat(V1),V2) constraint: a__U104(X1,X2,X3) >= U104(X1,X2,X3) constraint: a__U105(tt,V2) >= a__U106(a__isNatIList(V2)) constraint: a__U105(X1,X2) >= U105(X1,X2) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U106(tt) >= tt constraint: a__U106(X) >= U106(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__isNatKind(V1),V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U112(tt,L,N) >= a__U113(a__isNat(N),L,N) constraint: a__U112(X1,X2,X3) >= U112(X1,X2,X3) constraint: a__U111(tt,L,N) >= a__U112(a__isNatIListKind(L),L,N) constraint: a__U111(X1,X2,X3) >= U111(X1,X2,X3) constraint: a__U113(tt,L,N) >= a__U114(a__isNatKind(N),L) constraint: a__U113(X1,X2,X3) >= U113(X1,X2,X3) constraint: a__U114(tt,L) >= s(a__length(mark(L))) constraint: a__U114(X1,X2) >= U114(X1,X2) constraint: a__length(cons(N,L)) >= a__U111(a__isNatList(L),L,N) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(nil) >= nil constraint: mark(take(X1,X2)) >= a__take(mark(X1),mark(X2)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(U101(X1,X2,X3)) >= a__U101(mark(X1),X2,X3) constraint: mark(U102(X1,X2,X3)) >= a__U102(mark(X1),X2,X3) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U103(X1,X2,X3)) >= a__U103(mark(X1),X2,X3) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U104(X1,X2,X3)) >= a__U104(mark(X1),X2,X3) constraint: mark(U105(X1,X2)) >= a__U105(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(U106(X)) >= a__U106(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(U111(X1,X2,X3)) >= a__U111(mark(X1),X2,X3) constraint: mark(U112(X1,X2,X3)) >= a__U112(mark(X1),X2,X3) constraint: mark(U113(X1,X2,X3)) >= a__U113(mark(X1),X2,X3) constraint: mark(U114(X1,X2)) >= a__U114(mark(X1),X2) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U121(X1,X2)) >= a__U121(mark(X1),X2) constraint: mark(U122(X)) >= a__U122(mark(X)) constraint: mark(U131(X1,X2,X3,X4)) >= a__U131(mark(X1),X2,X3,X4) constraint: mark(U132(X1,X2,X3,X4)) >= a__U132(mark(X1),X2,X3,X4) constraint: mark(U133(X1,X2,X3,X4)) >= a__U133(mark(X1),X2,X3,X4) constraint: mark(U134(X1,X2,X3,X4)) >= a__U134(mark(X1),X2,X3,X4) constraint: mark(U135(X1,X2,X3,X4)) >= a__U135(mark(X1),X2,X3,X4) constraint: mark(U136(X1,X2,X3,X4)) >= a__U136(mark(X1),X2,X3,X4) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X1,X2)) >= a__U32(mark(X1),X2) constraint: mark(U33(X)) >= a__U33(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2,X3)) >= a__U42(mark(X1),X2,X3) constraint: mark(U43(X1,X2,X3)) >= a__U43(mark(X1),X2,X3) constraint: mark(U44(X1,X2,X3)) >= a__U44(mark(X1),X2,X3) constraint: mark(U45(X1,X2)) >= a__U45(mark(X1),X2) constraint: mark(U46(X)) >= a__U46(mark(X)) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: mark(U62(X)) >= a__U62(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X)) >= a__U81(mark(X)) constraint: mark(U91(X1,X2,X3)) >= a__U91(mark(X1),X2,X3) constraint: mark(U92(X1,X2,X3)) >= a__U92(mark(X1),X2,X3) constraint: mark(U93(X1,X2,X3)) >= a__U93(mark(X1),X2,X3) constraint: mark(U94(X1,X2,X3)) >= a__U94(mark(X1),X2,X3) constraint: mark(U95(X1,X2)) >= a__U95(mark(X1),X2) constraint: mark(U96(X)) >= a__U96(mark(X)) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U91(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(take(V1,V2)) >= a__U101(a__isNatKind(V1),V1,V2) constraint: a__isNatList(X) >= isNatList(X) constraint: a__U122(tt) >= nil constraint: a__U122(X) >= U122(X) constraint: a__U121(tt,IL) >= a__U122(a__isNatIListKind(IL)) constraint: a__U121(X1,X2) >= U121(X1,X2) constraint: a__U132(tt,IL,M,N) >= a__U133(a__isNat(M),IL,M,N) constraint: a__U132(X1,X2,X3,X4) >= U132(X1,X2,X3,X4) constraint: a__U131(tt,IL,M,N) >= a__U132(a__isNatIListKind(IL),IL,M,N) constraint: a__U131(X1,X2,X3,X4) >= U131(X1,X2,X3,X4) constraint: a__U133(tt,IL,M,N) >= a__U134(a__isNatKind(M),IL,M,N) constraint: a__U133(X1,X2,X3,X4) >= U133(X1,X2,X3,X4) constraint: a__U134(tt,IL,M,N) >= a__U135(a__isNat(N),IL,M,N) constraint: a__U134(X1,X2,X3,X4) >= U134(X1,X2,X3,X4) constraint: a__U135(tt,IL,M,N) >= a__U136(a__isNatKind(N),IL,M,N) constraint: a__U135(X1,X2,X3,X4) >= U135(X1,X2,X3,X4) constraint: a__U136(tt,IL,M,N) >= cons(mark(N),take(M,IL)) constraint: a__U136(X1,X2,X3,X4) >= U136(X1,X2,X3,X4) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__U21(tt,V1) >= a__U22(a__isNatKind(V1),V1) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U23(tt) >= tt constraint: a__U23(X) >= U23(X) constraint: a__U32(tt,V) >= a__U33(a__isNatList(V)) constraint: a__U32(X1,X2) >= U32(X1,X2) constraint: a__U31(tt,V) >= a__U32(a__isNatIListKind(V),V) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U33(tt) >= tt constraint: a__U33(X) >= U33(X) constraint: a__U42(tt,V1,V2) >= a__U43(a__isNatIListKind(V2),V1,V2) constraint: a__U42(X1,X2,X3) >= U42(X1,X2,X3) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNatKind(V1),V1,V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt,V1,V2) >= a__U44(a__isNatIListKind(V2),V1,V2) constraint: a__U43(X1,X2,X3) >= U43(X1,X2,X3) constraint: a__U44(tt,V1,V2) >= a__U45(a__isNat(V1),V2) constraint: a__U44(X1,X2,X3) >= U44(X1,X2,X3) constraint: a__U45(tt,V2) >= a__U46(a__isNatIList(V2)) constraint: a__U45(X1,X2) >= U45(X1,X2) constraint: a__U46(tt) >= tt constraint: a__U46(X) >= U46(X) constraint: a__U52(tt) >= tt constraint: a__U52(X) >= U52(X) constraint: a__U51(tt,V2) >= a__U52(a__isNatIListKind(V2)) constraint: a__U51(X1,X2) >= U51(X1,X2) constraint: a__U62(tt) >= tt constraint: a__U62(X) >= U62(X) constraint: a__U61(tt,V2) >= a__U62(a__isNatIListKind(V2)) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U81(tt) >= tt constraint: a__U81(X) >= U81(X) constraint: a__U92(tt,V1,V2) >= a__U93(a__isNatIListKind(V2),V1,V2) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,V1,V2) >= a__U92(a__isNatKind(V1),V1,V2) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,V1,V2) >= a__U94(a__isNatIListKind(V2),V1,V2) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,V1,V2) >= a__U95(a__isNat(V1),V2) constraint: a__U94(X1,X2,X3) >= U94(X1,X2,X3) constraint: a__U95(tt,V2) >= a__U96(a__isNatList(V2)) constraint: a__U95(X1,X2) >= U95(X1,X2) constraint: a__U96(tt) >= tt constraint: a__U96(X) >= U96(X) constraint: a__take(0,IL) >= a__U121(a__isNatIList(IL),IL) constraint: a__take(s(M),cons(N,IL)) >= a__U131(a__isNatIList(IL),IL,M,N) constraint: a__take(X1,X2) >= take(X1,X2) constraint: Marked_a__take(s(M),cons(N,IL)) >= Marked_a__U131(a__isNatIList(IL), IL,M,N) constraint: Marked_a__U136(tt,IL,M,N) >= Marked_mark(N) constraint: Marked_a__U135(tt,IL,M,N) >= Marked_a__U136(a__isNatKind(N),IL,M,N) constraint: Marked_a__U134(tt,IL,M,N) >= Marked_a__U135(a__isNat(N),IL,M,N) constraint: Marked_a__U133(tt,IL,M,N) >= Marked_a__U134(a__isNatKind(M),IL,M,N) constraint: Marked_a__U132(tt,IL,M,N) >= Marked_a__U133(a__isNat(M),IL,M,N) constraint: Marked_a__U131(tt,IL,M,N) >= Marked_a__U132(a__isNatIListKind(IL), IL,M,N) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(take(X1,X2)) >= Marked_a__take(mark(X1),mark(X2)) constraint: Marked_mark(take(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(take(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U105(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U106(X)) >= Marked_mark(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(U122(X)) >= Marked_mark(X) constraint: Marked_mark(U131(X1,X2,X3,X4)) >= Marked_a__U131(mark(X1),X2,X3,X4) constraint: Marked_mark(U131(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U132(X1,X2,X3,X4)) >= Marked_a__U132(mark(X1),X2,X3,X4) constraint: Marked_mark(U132(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U133(X1,X2,X3,X4)) >= Marked_a__U133(mark(X1),X2,X3,X4) constraint: Marked_mark(U133(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U134(X1,X2,X3,X4)) >= Marked_a__U134(mark(X1),X2,X3,X4) constraint: Marked_mark(U134(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U135(X1,X2,X3,X4)) >= Marked_a__U135(mark(X1),X2,X3,X4) constraint: Marked_mark(U135(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U136(X1,X2,X3,X4)) >= Marked_a__U136(mark(X1),X2,X3,X4) constraint: Marked_mark(U136(X1,X2,X3,X4)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U43(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U44(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U45(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U62(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U95(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U96(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> -->