- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] a__zeros -> cons(0,zeros) [2] a__U11(tt,V1) -> a__U12(a__isNatIListKind(V1),V1) [3] a__U12(tt,V1) -> a__U13(a__isNatList(V1)) [4] a__U13(tt) -> tt [5] a__U21(tt,V1) -> a__U22(a__isNatKind(V1),V1) [6] a__U22(tt,V1) -> a__U23(a__isNat(V1)) [7] a__U23(tt) -> tt [8] a__U31(tt,V) -> a__U32(a__isNatIListKind(V),V) [9] a__U32(tt,V) -> a__U33(a__isNatList(V)) [10] a__U33(tt) -> tt [11] a__U41(tt,V1,V2) -> a__U42(a__isNatKind(V1),V1,V2) [12] a__U42(tt,V1,V2) -> a__U43(a__isNatIListKind(V2),V1,V2) [13] a__U43(tt,V1,V2) -> a__U44(a__isNatIListKind(V2),V1,V2) [14] a__U44(tt,V1,V2) -> a__U45(a__isNat(V1),V2) [15] a__U45(tt,V2) -> a__U46(a__isNatIList(V2)) [16] a__U46(tt) -> tt [17] a__U51(tt,V2) -> a__U52(a__isNatIListKind(V2)) [18] a__U52(tt) -> tt [19] a__U61(tt) -> tt [20] a__U71(tt) -> tt [21] a__U81(tt,V1,V2) -> a__U82(a__isNatKind(V1),V1,V2) [22] a__U82(tt,V1,V2) -> a__U83(a__isNatIListKind(V2),V1,V2) [23] a__U83(tt,V1,V2) -> a__U84(a__isNatIListKind(V2),V1,V2) [24] a__U84(tt,V1,V2) -> a__U85(a__isNat(V1),V2) [25] a__U85(tt,V2) -> a__U86(a__isNatList(V2)) [26] a__U86(tt) -> tt [27] a__U91(tt,L,N) -> a__U92(a__isNatIListKind(L),L,N) [28] a__U92(tt,L,N) -> a__U93(a__isNat(N),L,N) [29] a__U93(tt,L,N) -> a__U94(a__isNatKind(N),L) [30] a__U94(tt,L) -> s(a__length(mark(L))) [31] a__isNat(0) -> tt [32] a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1),V1) [33] a__isNat(s(V1)) -> a__U21(a__isNatKind(V1),V1) [34] a__isNatIList(V) -> a__U31(a__isNatIListKind(V),V) [35] a__isNatIList(zeros) -> tt [36] a__isNatIList(cons(V1,V2)) -> a__U41(a__isNatKind(V1),V1,V2) [37] a__isNatIListKind(nil) -> tt [38] a__isNatIListKind(zeros) -> tt [39] a__isNatIListKind(cons(V1,V2)) -> a__U51(a__isNatKind(V1),V2) [40] a__isNatKind(0) -> tt [41] a__isNatKind(length(V1)) -> a__U61(a__isNatIListKind(V1)) [42] a__isNatKind(s(V1)) -> a__U71(a__isNatKind(V1)) [43] a__isNatList(nil) -> tt [44] a__isNatList(cons(V1,V2)) -> a__U81(a__isNatKind(V1),V1,V2) [45] a__length(nil) -> 0 [46] a__length(cons(N,L)) -> a__U91(a__isNatList(L),L,N) [47] mark(zeros) -> a__zeros [48] mark(U11(X1,X2)) -> a__U11(mark(X1),X2) [49] mark(U12(X1,X2)) -> a__U12(mark(X1),X2) [50] mark(isNatIListKind(X)) -> a__isNatIListKind(X) [51] mark(U13(X)) -> a__U13(mark(X)) [52] mark(isNatList(X)) -> a__isNatList(X) [53] mark(U21(X1,X2)) -> a__U21(mark(X1),X2) [54] mark(U22(X1,X2)) -> a__U22(mark(X1),X2) [55] mark(isNatKind(X)) -> a__isNatKind(X) [56] mark(U23(X)) -> a__U23(mark(X)) [57] mark(isNat(X)) -> a__isNat(X) [58] mark(U31(X1,X2)) -> a__U31(mark(X1),X2) [59] mark(U32(X1,X2)) -> a__U32(mark(X1),X2) [60] mark(U33(X)) -> a__U33(mark(X)) [61] mark(U41(X1,X2,X3)) -> a__U41(mark(X1),X2,X3) [62] mark(U42(X1,X2,X3)) -> a__U42(mark(X1),X2,X3) [63] mark(U43(X1,X2,X3)) -> a__U43(mark(X1),X2,X3) [64] mark(U44(X1,X2,X3)) -> a__U44(mark(X1),X2,X3) [65] mark(U45(X1,X2)) -> a__U45(mark(X1),X2) [66] mark(U46(X)) -> a__U46(mark(X)) [67] mark(isNatIList(X)) -> a__isNatIList(X) [68] mark(U51(X1,X2)) -> a__U51(mark(X1),X2) [69] mark(U52(X)) -> a__U52(mark(X)) [70] mark(U61(X)) -> a__U61(mark(X)) [71] mark(U71(X)) -> a__U71(mark(X)) [72] mark(U81(X1,X2,X3)) -> a__U81(mark(X1),X2,X3) [73] mark(U82(X1,X2,X3)) -> a__U82(mark(X1),X2,X3) [74] mark(U83(X1,X2,X3)) -> a__U83(mark(X1),X2,X3) [75] mark(U84(X1,X2,X3)) -> a__U84(mark(X1),X2,X3) [76] mark(U85(X1,X2)) -> a__U85(mark(X1),X2) [77] mark(U86(X)) -> a__U86(mark(X)) [78] mark(U91(X1,X2,X3)) -> a__U91(mark(X1),X2,X3) [79] mark(U92(X1,X2,X3)) -> a__U92(mark(X1),X2,X3) [80] mark(U93(X1,X2,X3)) -> a__U93(mark(X1),X2,X3) [81] mark(U94(X1,X2)) -> a__U94(mark(X1),X2) [82] mark(length(X)) -> a__length(mark(X)) [83] mark(cons(X1,X2)) -> cons(mark(X1),X2) [84] mark(0) -> 0 [85] mark(tt) -> tt [86] mark(s(X)) -> s(mark(X)) [87] mark(nil) -> nil [88] a__zeros -> zeros [89] a__U11(X1,X2) -> U11(X1,X2) [90] a__U12(X1,X2) -> U12(X1,X2) [91] a__isNatIListKind(X) -> isNatIListKind(X) [92] a__U13(X) -> U13(X) [93] a__isNatList(X) -> isNatList(X) [94] a__U21(X1,X2) -> U21(X1,X2) [95] a__U22(X1,X2) -> U22(X1,X2) [96] a__isNatKind(X) -> isNatKind(X) [97] a__U23(X) -> U23(X) [98] a__isNat(X) -> isNat(X) [99] a__U31(X1,X2) -> U31(X1,X2) [100] a__U32(X1,X2) -> U32(X1,X2) [101] a__U33(X) -> U33(X) [102] a__U41(X1,X2,X3) -> U41(X1,X2,X3) [103] a__U42(X1,X2,X3) -> U42(X1,X2,X3) [104] a__U43(X1,X2,X3) -> U43(X1,X2,X3) [105] a__U44(X1,X2,X3) -> U44(X1,X2,X3) [106] a__U45(X1,X2) -> U45(X1,X2) [107] a__U46(X) -> U46(X) [108] a__isNatIList(X) -> isNatIList(X) [109] a__U51(X1,X2) -> U51(X1,X2) [110] a__U52(X) -> U52(X) [111] a__U61(X) -> U61(X) [112] a__U71(X) -> U71(X) [113] a__U81(X1,X2,X3) -> U81(X1,X2,X3) [114] a__U82(X1,X2,X3) -> U82(X1,X2,X3) [115] a__U83(X1,X2,X3) -> U83(X1,X2,X3) [116] a__U84(X1,X2,X3) -> U84(X1,X2,X3) [117] a__U85(X1,X2) -> U85(X1,X2) [118] a__U86(X) -> U86(X) [119] a__U91(X1,X2,X3) -> U91(X1,X2,X3) [120] a__U92(X1,X2,X3) -> U92(X1,X2,X3) [121] a__U93(X1,X2,X3) -> U93(X1,X2,X3) [122] a__U94(X1,X2) -> U94(X1,X2) [123] a__length(X) -> length(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 4 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) ; Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) ; Marked_a__U94(tt,L) >= Marked_mark(L) ; Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) ; Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) ; Marked_a__U91(tt,L,N) >= Marked_a__U92(a__isNatIListKind(L),L,N) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_a__length(mark(X)) ; Marked_mark(length(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(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(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) ; Marked_mark(U94(X1,X2)) >= Marked_mark(X1) ; } + Disjunctions:{ { Marked_a__length(cons(N,L)) > Marked_a__U91(a__isNatList(L),L,N) ; } { Marked_a__U94(tt,L) > Marked_a__length(mark(L)) ; } { Marked_a__U94(tt,L) > Marked_mark(L) ; } { Marked_a__U93(tt,L,N) > Marked_a__U94(a__isNatKind(N),L) ; } { Marked_a__U92(tt,L,N) > Marked_a__U93(a__isNat(N),L,N) ; } { Marked_a__U91(tt,L,N) > Marked_a__U92(a__isNatIListKind(L),L,N) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_a__length(mark(X)) ; } { Marked_mark(length(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(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(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_a__U91(mark(X1),X2,X3) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_a__U92(mark(X1),X2,X3) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_a__U93(mark(X1),X2,X3) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2)) > Marked_a__U94(mark(X1),X2) ; } { Marked_mark(U94(X1,X2)) > Marked_mark(X1) ; } } === 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) constraint: Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) constraint: Marked_a__U94(tt,L) >= Marked_mark(L) constraint: Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) constraint: Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) constraint: Marked_a__U91(tt,L,N) >= Marked_a__U92(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(length(X)) >= Marked_a__length(mark(X)) constraint: Marked_mark(length(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(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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) constraint: Marked_mark(U94(X1,X2)) >= Marked_mark(X1) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__U41(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__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) ; } + Disjunctions:{ { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__U41(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__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) ; } } === 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__U41(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__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) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_a__U85(tt,V2) >= Marked_a__isNatList(V2) ; Marked_a__U84(tt,V1,V2) >= Marked_a__U85(a__isNat(V1),V2) ; Marked_a__U84(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__U83(tt,V1,V2) >= Marked_a__U84(a__isNatIListKind(V2),V1,V2) ; Marked_a__U82(tt,V1,V2) >= Marked_a__U83(a__isNatIListKind(V2),V1,V2) ; Marked_a__U81(tt,V1,V2) >= Marked_a__U82(a__isNatKind(V1),V1,V2) ; 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__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__U81(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) ; } + Disjunctions:{ { Marked_a__U85(tt,V2) > Marked_a__isNatList(V2) ; } { Marked_a__U84(tt,V1,V2) > Marked_a__U85(a__isNat(V1),V2) ; } { Marked_a__U84(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__U83(tt,V1,V2) > Marked_a__U84(a__isNatIListKind(V2),V1,V2) ; } { Marked_a__U82(tt,V1,V2) > Marked_a__U83(a__isNatIListKind(V2),V1,V2) ; } { Marked_a__U81(tt,V1,V2) > Marked_a__U82(a__isNatKind(V1),V1,V2) ; } { 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__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__U81(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) ; } } === 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_a__U85(tt,V2) >= Marked_a__isNatList(V2) constraint: Marked_a__U84(tt,V1,V2) >= Marked_a__U85(a__isNat(V1),V2) constraint: Marked_a__U84(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__U83(tt,V1,V2) >= Marked_a__U84(a__isNatIListKind(V2), V1,V2) constraint: Marked_a__U82(tt,V1,V2) >= Marked_a__U83(a__isNatIListKind(V2), V1,V2) constraint: Marked_a__U81(tt,V1,V2) >= Marked_a__U82(a__isNatKind(V1),V1,V2) 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__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__U81(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) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_a__U51(tt,V2) >= Marked_a__isNatIListKind(V2) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__U51(a__isNatKind(V1),V2) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; } + Disjunctions:{ { Marked_a__U51(tt,V2) > Marked_a__isNatIListKind(V2) ; } { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__U51(a__isNatKind(V1),V2) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_a__U51(tt,V2) >= Marked_a__isNatIListKind(V2) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) 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) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) ; Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) ; Marked_a__U94(tt,L) >= Marked_mark(L) ; Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) ; Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) ; Marked_a__U91(tt,L,N) >= Marked_a__U92(a__isNatIListKind(L),L,N) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_a__length(mark(X)) ; Marked_mark(length(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(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(U46(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) ; Marked_mark(U94(X1,X2)) >= Marked_mark(X1) ; } + Disjunctions:{ { Marked_a__length(cons(N,L)) > Marked_a__U91(a__isNatList(L),L,N) ; } { Marked_a__U94(tt,L) > Marked_a__length(mark(L)) ; } { Marked_a__U94(tt,L) > Marked_mark(L) ; } { Marked_a__U93(tt,L,N) > Marked_a__U94(a__isNatKind(N),L) ; } { Marked_a__U92(tt,L,N) > Marked_a__U93(a__isNat(N),L,N) ; } { Marked_a__U91(tt,L,N) > Marked_a__U92(a__isNatIListKind(L),L,N) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_a__length(mark(X)) ; } { Marked_mark(length(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(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(U46(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_a__U91(mark(X1),X2,X3) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_a__U92(mark(X1),X2,X3) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_a__U93(mark(X1),X2,X3) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2)) > Marked_a__U94(mark(X1),X2) ; } { Marked_mark(U94(X1,X2)) > Marked_mark(X1) ; } } === 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) constraint: Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) constraint: Marked_a__U94(tt,L) >= Marked_mark(L) constraint: Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) constraint: Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) constraint: Marked_a__U91(tt,L,N) >= Marked_a__U92(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(length(X)) >= Marked_a__length(mark(X)) constraint: Marked_mark(length(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(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(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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) constraint: Marked_mark(U94(X1,X2)) >= Marked_mark(X1) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) ; Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) ; Marked_a__U94(tt,L) >= Marked_mark(L) ; Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) ; Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) ; Marked_a__U91(tt,L,N) >= Marked_a__U92(a__isNatIListKind(L),L,N) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_a__length(mark(X)) ; Marked_mark(length(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(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U33(X)) >= Marked_mark(X) ; 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(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) ; Marked_mark(U94(X1,X2)) >= Marked_mark(X1) ; } + Disjunctions:{ { Marked_a__length(cons(N,L)) > Marked_a__U91(a__isNatList(L),L,N) ; } { Marked_a__U94(tt,L) > Marked_a__length(mark(L)) ; } { Marked_a__U94(tt,L) > Marked_mark(L) ; } { Marked_a__U93(tt,L,N) > Marked_a__U94(a__isNatKind(N),L) ; } { Marked_a__U92(tt,L,N) > Marked_a__U93(a__isNat(N),L,N) ; } { Marked_a__U91(tt,L,N) > Marked_a__U92(a__isNatIListKind(L),L,N) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_a__length(mark(X)) ; } { Marked_mark(length(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(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { 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(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_a__U91(mark(X1),X2,X3) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_a__U92(mark(X1),X2,X3) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_a__U93(mark(X1),X2,X3) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2)) > Marked_a__U94(mark(X1),X2) ; } { Marked_mark(U94(X1,X2)) > Marked_mark(X1) ; } } === 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) constraint: Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) constraint: Marked_a__U94(tt,L) >= Marked_mark(L) constraint: Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) constraint: Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) constraint: Marked_a__U91(tt,L,N) >= Marked_a__U92(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(length(X)) >= Marked_a__length(mark(X)) constraint: Marked_mark(length(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(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(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U33(X)) >= Marked_mark(X) 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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) constraint: Marked_mark(U94(X1,X2)) >= Marked_mark(X1) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) ; Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) ; Marked_a__U94(tt,L) >= Marked_mark(L) ; Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) ; Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) ; Marked_a__U91(tt,L,N) >= Marked_a__U92(a__isNatIListKind(L),L,N) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(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(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U33(X)) >= Marked_mark(X) ; 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(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) ; Marked_mark(U94(X1,X2)) >= Marked_mark(X1) ; } + Disjunctions:{ { Marked_a__length(cons(N,L)) > Marked_a__U91(a__isNatList(L),L,N) ; } { Marked_a__U94(tt,L) > Marked_a__length(mark(L)) ; } { Marked_a__U94(tt,L) > Marked_mark(L) ; } { Marked_a__U93(tt,L,N) > Marked_a__U94(a__isNatKind(N),L) ; } { Marked_a__U92(tt,L,N) > Marked_a__U93(a__isNat(N),L,N) ; } { Marked_a__U91(tt,L,N) > Marked_a__U92(a__isNatIListKind(L),L,N) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(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(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { 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(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_a__U91(mark(X1),X2,X3) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_a__U92(mark(X1),X2,X3) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_a__U93(mark(X1),X2,X3) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2)) > Marked_a__U94(mark(X1),X2) ; } { Marked_mark(U94(X1,X2)) > Marked_mark(X1) ; } } === 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) constraint: Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) constraint: Marked_a__U94(tt,L) >= Marked_mark(L) constraint: Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) constraint: Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) constraint: Marked_a__U91(tt,L,N) >= Marked_a__U92(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(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(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(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U33(X)) >= Marked_mark(X) 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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) constraint: Marked_mark(U94(X1,X2)) >= Marked_mark(X1) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) ; Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) ; Marked_a__U94(tt,L) >= Marked_mark(L) ; Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) ; Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) ; Marked_a__U91(tt,L,N) >= Marked_a__U92(a__isNatIListKind(L),L,N) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U13(X)) >= Marked_mark(X) ; 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(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U33(X)) >= Marked_mark(X) ; 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(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) ; Marked_mark(U94(X1,X2)) >= Marked_mark(X1) ; } + Disjunctions:{ { Marked_a__length(cons(N,L)) > Marked_a__U91(a__isNatList(L),L,N) ; } { Marked_a__U94(tt,L) > Marked_a__length(mark(L)) ; } { Marked_a__U94(tt,L) > Marked_mark(L) ; } { Marked_a__U93(tt,L,N) > Marked_a__U94(a__isNatKind(N),L) ; } { Marked_a__U92(tt,L,N) > Marked_a__U93(a__isNat(N),L,N) ; } { Marked_a__U91(tt,L,N) > Marked_a__U92(a__isNatIListKind(L),L,N) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { 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(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { 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(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_a__U91(mark(X1),X2,X3) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_a__U92(mark(X1),X2,X3) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_a__U93(mark(X1),X2,X3) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2)) > Marked_a__U94(mark(X1),X2) ; } { Marked_mark(U94(X1,X2)) > Marked_mark(X1) ; } } === 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) constraint: Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) constraint: Marked_a__U94(tt,L) >= Marked_mark(L) constraint: Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) constraint: Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) constraint: Marked_a__U91(tt,L,N) >= Marked_a__U92(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(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U13(X)) >= Marked_mark(X) 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(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U33(X)) >= Marked_mark(X) 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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) constraint: Marked_mark(U94(X1,X2)) >= Marked_mark(X1) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) ; Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) ; Marked_a__U94(tt,L) >= Marked_mark(L) ; Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) ; Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) ; Marked_a__U91(tt,L,N) >= Marked_a__U92(a__isNatIListKind(L),L,N) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U13(X)) >= Marked_mark(X) ; 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(U33(X)) >= Marked_mark(X) ; 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(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) ; Marked_mark(U94(X1,X2)) >= Marked_mark(X1) ; } + Disjunctions:{ { Marked_a__length(cons(N,L)) > Marked_a__U91(a__isNatList(L),L,N) ; } { Marked_a__U94(tt,L) > Marked_a__length(mark(L)) ; } { Marked_a__U94(tt,L) > Marked_mark(L) ; } { Marked_a__U93(tt,L,N) > Marked_a__U94(a__isNatKind(N),L) ; } { Marked_a__U92(tt,L,N) > Marked_a__U93(a__isNat(N),L,N) ; } { Marked_a__U91(tt,L,N) > Marked_a__U92(a__isNatIListKind(L),L,N) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { 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(U33(X)) > Marked_mark(X) ; } { 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(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_a__U91(mark(X1),X2,X3) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_a__U92(mark(X1),X2,X3) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_a__U93(mark(X1),X2,X3) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2)) > Marked_a__U94(mark(X1),X2) ; } { Marked_mark(U94(X1,X2)) > Marked_mark(X1) ; } } === 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) constraint: Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) constraint: Marked_a__U94(tt,L) >= Marked_mark(L) constraint: Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) constraint: Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) constraint: Marked_a__U91(tt,L,N) >= Marked_a__U92(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(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U13(X)) >= Marked_mark(X) 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(U33(X)) >= Marked_mark(X) 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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) constraint: Marked_mark(U94(X1,X2)) >= Marked_mark(X1) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) ; Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) ; Marked_a__U94(tt,L) >= Marked_mark(L) ; Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) ; Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) ; Marked_a__U91(tt,L,N) >= Marked_a__U92(a__isNatIListKind(L),L,N) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U13(X)) >= Marked_mark(X) ; 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(U46(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U86(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) ; Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) ; Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) ; Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) ; Marked_mark(U94(X1,X2)) >= Marked_mark(X1) ; } + Disjunctions:{ { Marked_a__length(cons(N,L)) > Marked_a__U91(a__isNatList(L),L,N) ; } { Marked_a__U94(tt,L) > Marked_a__length(mark(L)) ; } { Marked_a__U94(tt,L) > Marked_mark(L) ; } { Marked_a__U93(tt,L,N) > Marked_a__U94(a__isNatKind(N),L) ; } { Marked_a__U92(tt,L,N) > Marked_a__U93(a__isNat(N),L,N) ; } { Marked_a__U91(tt,L,N) > Marked_a__U92(a__isNatIListKind(L),L,N) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { 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(U46(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U86(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_a__U91(mark(X1),X2,X3) ; } { Marked_mark(U91(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_a__U92(mark(X1),X2,X3) ; } { Marked_mark(U92(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_a__U93(mark(X1),X2,X3) ; } { Marked_mark(U93(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U94(X1,X2)) > Marked_a__U94(mark(X1),X2) ; } { Marked_mark(U94(X1,X2)) > Marked_mark(X1) ; } } === 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) constraint: Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) constraint: Marked_a__U94(tt,L) >= Marked_mark(L) constraint: Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) constraint: Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) constraint: Marked_a__U91(tt,L,N) >= Marked_a__U92(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(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U13(X)) >= Marked_mark(X) 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(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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U86(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_a__U91(mark(X1),X2,X3) constraint: Marked_mark(U91(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_a__U92(mark(X1),X2,X3) constraint: Marked_mark(U92(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_a__U93(mark(X1),X2,X3) constraint: Marked_mark(U93(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U94(X1,X2)) >= Marked_a__U94(mark(X1),X2) constraint: Marked_mark(U94(X1,X2)) >= Marked_mark(X1) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) ; Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) ; Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) ; Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) ; Marked_a__U91(tt,L,N) >= Marked_a__U92(a__isNatIListKind(L),L,N) ; } + Disjunctions:{ { Marked_a__length(cons(N,L)) > Marked_a__U91(a__isNatList(L),L,N) ; } { Marked_a__U94(tt,L) > Marked_a__length(mark(L)) ; } { Marked_a__U93(tt,L,N) > Marked_a__U94(a__isNatKind(N),L) ; } { Marked_a__U92(tt,L,N) > Marked_a__U93(a__isNat(N),L,N) ; } { Marked_a__U91(tt,L,N) > Marked_a__U92(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_a__length(cons(N,L)) >= Marked_a__U91(a__isNatList(L),L,N) constraint: Marked_a__U94(tt,L) >= Marked_a__length(mark(L)) constraint: Marked_a__U93(tt,L,N) >= Marked_a__U94(a__isNatKind(N),L) constraint: Marked_a__U92(tt,L,N) >= Marked_a__U93(a__isNat(N),L,N) constraint: Marked_a__U91(tt,L,N) >= Marked_a__U92(a__isNatIListKind(L),L,N) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U13(X)) >= Marked_mark(X) ; 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(U46(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U86(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { 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(U46(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U86(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U13(X)) >= Marked_mark(X) 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(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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U86(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; 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(U46(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U86(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { 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(U46(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U86(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(s(X)) >= Marked_mark(X) 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(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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U86(X)) >= Marked_mark(X) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(s(X)) >= Marked_mark(X) ; 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(U46(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U86(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { 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(U46(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U86(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_mark(s(X)) >= Marked_mark(X) 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(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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U86(X)) >= Marked_mark(X) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(s(X)) >= Marked_mark(X) ; 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(U46(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U85(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U86(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { 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(U46(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U85(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U86(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_mark(s(X)) >= Marked_mark(X) 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(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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U85(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U86(X)) >= Marked_mark(X) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(s(X)) >= Marked_mark(X) ; 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(U46(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U86(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { 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(U46(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U86(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_mark(s(X)) >= Marked_mark(X) 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(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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U86(X)) >= Marked_mark(X) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U23(X)) >= Marked_mark(X) ; 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(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U86(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { 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(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U86(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(U23(X)) >= Marked_mark(X) 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(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U86(X)) >= Marked_mark(X) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U86(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U86(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(U23(X)) >= Marked_mark(X) 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(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U86(X)) >= Marked_mark(X) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U86(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U86(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U86(X)) >= Marked_mark(X) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; Marked_mark(U86(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(U71(X)) > Marked_mark(X) ; } { Marked_mark(U86(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) constraint: Marked_mark(U86(X)) >= Marked_mark(X) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U46(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U46(X)) > Marked_mark(X) ; } { Marked_mark(U71(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U46(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U71(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U71(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U71(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(X)) >= a__U23(mark(X)) constraint: mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2) constraint: mark(U52(X)) >= a__U52(mark(X)) constraint: mark(U61(X)) >= a__U61(mark(X)) constraint: mark(U71(X)) >= a__U71(mark(X)) constraint: mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) constraint: mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) constraint: mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) constraint: mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) constraint: mark(U85(X1,X2)) >= a__U85(mark(X1),X2) constraint: mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U71(X)) >= Marked_mark(X) 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__U12(tt,V1) >= a__U13(a__isNatList(V1)) ; a__U12(X1,X2) >= U12(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__U51(a__isNatKind(V1),V2) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U13(tt) >= tt ; a__U13(X) >= U13(X) ; a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U22(tt,V1) >= a__U23(a__isNat(V1)) ; a__U22(X1,X2) >= U22(X1,X2) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) ; a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) ; a__isNatKind(X) >= isNatKind(X) ; 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__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__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__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__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__U61(tt) >= tt ; a__U61(X) >= U61(X) ; a__U71(tt) >= tt ; a__U71(X) >= U71(X) ; a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) ; a__U82(X1,X2,X3) >= U82(X1,X2,X3) ; a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) ; a__U81(X1,X2,X3) >= U81(X1,X2,X3) ; a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) ; a__U83(X1,X2,X3) >= U83(X1,X2,X3) ; a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) ; a__U84(X1,X2,X3) >= U84(X1,X2,X3) ; a__U85(tt,V2) >= a__U86(a__isNatList(V2)) ; a__U85(X1,X2) >= U85(X1,X2) ; a__U86(tt) >= tt ; a__U86(X) >= U86(X) ; a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) ; a__U92(X1,X2,X3) >= U92(X1,X2,X3) ; a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) ; a__U91(X1,X2,X3) >= U91(X1,X2,X3) ; a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) ; a__U93(X1,X2,X3) >= U93(X1,X2,X3) ; a__U94(tt,L) >= s(a__length(mark(L))) ; a__U94(X1,X2) >= U94(X1,X2) ; a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) ; mark(nil) >= nil ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X1,X2)) >= a__U12(mark(X1),X2) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(U13(X)) >= a__U13(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X1,X2)) >= a__U22(mark(X1),X2) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U23(X)) >= a__U23(mark(X)) ; mark(isNat(X)) >= a__isNat(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(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ; mark(U52(X)) >= a__U52(mark(X)) ; mark(U61(X)) >= a__U61(mark(X)) ; mark(U71(X)) >= a__U71(mark(X)) ; mark(U81(X1,X2,X3)) >= a__U81(mark(X1),X2,X3) ; mark(U82(X1,X2,X3)) >= a__U82(mark(X1),X2,X3) ; mark(U83(X1,X2,X3)) >= a__U83(mark(X1),X2,X3) ; mark(U84(X1,X2,X3)) >= a__U84(mark(X1),X2,X3) ; mark(U85(X1,X2)) >= a__U85(mark(X1),X2) ; mark(U86(X)) >= a__U86(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)) >= a__U94(mark(X1),X2) ; Marked_mark(U23(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(U23(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__U12(tt,V1) >= a__U13(a__isNatList(V1)) constraint: a__U12(X1,X2) >= U12(X1,X2) 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(X) >= isNatIListKind(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatIListKind(V1),V1) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U13(tt) >= tt constraint: a__U13(X) >= U13(X) constraint: a__isNatList(cons(V1,V2)) >= a__U81(a__isNatKind(V1),V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U22(tt,V1) >= a__U23(a__isNat(V1)) constraint: a__U22(X1,X2) >= U22(X1,X2) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__U71(a__isNatKind(V1)) constraint: a__isNatKind(length(V1)) >= a__U61(a__isNatIListKind(V1)) constraint: a__isNatKind(X) >= isNatKind(X) 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__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__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__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__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__U61(tt) >= tt constraint: a__U61(X) >= U61(X) constraint: a__U71(tt) >= tt constraint: a__U71(X) >= U71(X) constraint: a__U82(tt,V1,V2) >= a__U83(a__isNatIListKind(V2),V1,V2) constraint: a__U82(X1,X2,X3) >= U82(X1,X2,X3) constraint: a__U81(tt,V1,V2) >= a__U82(a__isNatKind(V1),V1,V2) constraint: a__U81(X1,X2,X3) >= U81(X1,X2,X3) constraint: a__U83(tt,V1,V2) >= a__U84(a__isNatIListKind(V2),V1,V2) constraint: a__U83(X1,X2,X3) >= U83(X1,X2,X3) constraint: a__U84(tt,V1,V2) >= a__U85(a__isNat(V1),V2) constraint: a__U84(X1,X2,X3) >= U84(X1,X2,X3) constraint: a__U85(tt,V2) >= a__U86(a__isNatList(V2)) constraint: a__U85(X1,X2) >= U85(X1,X2) constraint: a__U86(tt) >= tt constraint: a__U86(X) >= U86(X) constraint: a__U92(tt,L,N) >= a__U93(a__isNat(N),L,N) constraint: a__U92(X1,X2,X3) >= U92(X1,X2,X3) constraint: a__U91(tt,L,N) >= a__U92(a__isNatIListKind(L),L,N) constraint: a__U91(X1,X2,X3) >= U91(X1,X2,X3) constraint: a__U93(tt,L,N) >= a__U94(a__isNatKind(N),L) constraint: a__U93(X1,X2,X3) >= U93(X1,X2,X3) constraint: a__U94(tt,L) >= s(a__length(mark(L))) constraint: a__U94(X1,X2) >= U94(X1,X2) constraint: a__length(cons(N,L)) >= a__U91(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(length(X)) >= a__length(mark(X)) constraint: mark(nil) >= nil constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X1,X2)) >= a__U12(mark(X1),X2) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(U13(X)) >= a__U13(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X1,X2)) >= a__U22(mark(X1),X2) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U23(