- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] active(zeros) -> mark(cons(0,zeros)) [2] active(U11(tt,V1)) -> mark(U12(isNatList(V1))) [3] active(U12(tt)) -> mark(tt) [4] active(U21(tt,V1)) -> mark(U22(isNat(V1))) [5] active(U22(tt)) -> mark(tt) [6] active(U31(tt,V)) -> mark(U32(isNatList(V))) [7] active(U32(tt)) -> mark(tt) [8] active(U41(tt,V1,V2)) -> mark(U42(isNat(V1),V2)) [9] active(U42(tt,V2)) -> mark(U43(isNatIList(V2))) [10] active(U43(tt)) -> mark(tt) [11] active(U51(tt,V1,V2)) -> mark(U52(isNat(V1),V2)) [12] active(U52(tt,V2)) -> mark(U53(isNatList(V2))) [13] active(U53(tt)) -> mark(tt) [14] active(U61(tt,L)) -> mark(s(length(L))) [15] active(and(tt,X)) -> mark(X) [16] active(isNat(0)) -> mark(tt) [17] active(isNat(length(V1))) -> mark(U11(isNatIListKind(V1),V1)) [18] active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1)) [19] active(isNatIList(V)) -> mark(U31(isNatIListKind(V),V)) [20] active(isNatIList(zeros)) -> mark(tt) [21] active(isNatIList(cons(V1,V2))) -> mark(U41(and(isNatKind(V1),isNatIListKind(V2)),V1,V2)) [22] active(isNatIListKind(nil)) -> mark(tt) [23] active(isNatIListKind(zeros)) -> mark(tt) [24] active(isNatIListKind(cons(V1,V2))) -> mark(and(isNatKind(V1),isNatIListKind(V2))) [25] active(isNatKind(0)) -> mark(tt) [26] active(isNatKind(length(V1))) -> mark(isNatIListKind(V1)) [27] active(isNatKind(s(V1))) -> mark(isNatKind(V1)) [28] active(isNatList(nil)) -> mark(tt) [29] active(isNatList(cons(V1,V2))) -> mark(U51(and(isNatKind(V1),isNatIListKind(V2)),V1,V2)) [30] active(length(nil)) -> mark(0) [31] active(length(cons(N,L))) -> mark(U61(and(and(isNatList(L),isNatIListKind(L)),and(isNat(N),isNatKind(N))), L)) [32] mark(zeros) -> active(zeros) [33] mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) [34] mark(0) -> active(0) [35] mark(U11(X1,X2)) -> active(U11(mark(X1),X2)) [36] mark(tt) -> active(tt) [37] mark(U12(X)) -> active(U12(mark(X))) [38] mark(isNatList(X)) -> active(isNatList(X)) [39] mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) [40] mark(U22(X)) -> active(U22(mark(X))) [41] mark(isNat(X)) -> active(isNat(X)) [42] mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) [43] mark(U32(X)) -> active(U32(mark(X))) [44] mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) [45] mark(U42(X1,X2)) -> active(U42(mark(X1),X2)) [46] mark(U43(X)) -> active(U43(mark(X))) [47] mark(isNatIList(X)) -> active(isNatIList(X)) [48] mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3)) [49] mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) [50] mark(U53(X)) -> active(U53(mark(X))) [51] mark(U61(X1,X2)) -> active(U61(mark(X1),X2)) [52] mark(s(X)) -> active(s(mark(X))) [53] mark(length(X)) -> active(length(mark(X))) [54] mark(and(X1,X2)) -> active(and(mark(X1),X2)) [55] mark(isNatIListKind(X)) -> active(isNatIListKind(X)) [56] mark(isNatKind(X)) -> active(isNatKind(X)) [57] mark(nil) -> active(nil) [58] cons(mark(X1),X2) -> cons(X1,X2) [59] cons(X1,mark(X2)) -> cons(X1,X2) [60] cons(active(X1),X2) -> cons(X1,X2) [61] cons(X1,active(X2)) -> cons(X1,X2) [62] U11(mark(X1),X2) -> U11(X1,X2) [63] U11(X1,mark(X2)) -> U11(X1,X2) [64] U11(active(X1),X2) -> U11(X1,X2) [65] U11(X1,active(X2)) -> U11(X1,X2) [66] U12(mark(X)) -> U12(X) [67] U12(active(X)) -> U12(X) [68] isNatList(mark(X)) -> isNatList(X) [69] isNatList(active(X)) -> isNatList(X) [70] U21(mark(X1),X2) -> U21(X1,X2) [71] U21(X1,mark(X2)) -> U21(X1,X2) [72] U21(active(X1),X2) -> U21(X1,X2) [73] U21(X1,active(X2)) -> U21(X1,X2) [74] U22(mark(X)) -> U22(X) [75] U22(active(X)) -> U22(X) [76] isNat(mark(X)) -> isNat(X) [77] isNat(active(X)) -> isNat(X) [78] U31(mark(X1),X2) -> U31(X1,X2) [79] U31(X1,mark(X2)) -> U31(X1,X2) [80] U31(active(X1),X2) -> U31(X1,X2) [81] U31(X1,active(X2)) -> U31(X1,X2) [82] U32(mark(X)) -> U32(X) [83] U32(active(X)) -> U32(X) [84] U41(mark(X1),X2,X3) -> U41(X1,X2,X3) [85] U41(X1,mark(X2),X3) -> U41(X1,X2,X3) [86] U41(X1,X2,mark(X3)) -> U41(X1,X2,X3) [87] U41(active(X1),X2,X3) -> U41(X1,X2,X3) [88] U41(X1,active(X2),X3) -> U41(X1,X2,X3) [89] U41(X1,X2,active(X3)) -> U41(X1,X2,X3) [90] U42(mark(X1),X2) -> U42(X1,X2) [91] U42(X1,mark(X2)) -> U42(X1,X2) [92] U42(active(X1),X2) -> U42(X1,X2) [93] U42(X1,active(X2)) -> U42(X1,X2) [94] U43(mark(X)) -> U43(X) [95] U43(active(X)) -> U43(X) [96] isNatIList(mark(X)) -> isNatIList(X) [97] isNatIList(active(X)) -> isNatIList(X) [98] U51(mark(X1),X2,X3) -> U51(X1,X2,X3) [99] U51(X1,mark(X2),X3) -> U51(X1,X2,X3) [100] U51(X1,X2,mark(X3)) -> U51(X1,X2,X3) [101] U51(active(X1),X2,X3) -> U51(X1,X2,X3) [102] U51(X1,active(X2),X3) -> U51(X1,X2,X3) [103] U51(X1,X2,active(X3)) -> U51(X1,X2,X3) [104] U52(mark(X1),X2) -> U52(X1,X2) [105] U52(X1,mark(X2)) -> U52(X1,X2) [106] U52(active(X1),X2) -> U52(X1,X2) [107] U52(X1,active(X2)) -> U52(X1,X2) [108] U53(mark(X)) -> U53(X) [109] U53(active(X)) -> U53(X) [110] U61(mark(X1),X2) -> U61(X1,X2) [111] U61(X1,mark(X2)) -> U61(X1,X2) [112] U61(active(X1),X2) -> U61(X1,X2) [113] U61(X1,active(X2)) -> U61(X1,X2) [114] s(mark(X)) -> s(X) [115] s(active(X)) -> s(X) [116] length(mark(X)) -> length(X) [117] length(active(X)) -> length(X) [118] and(mark(X1),X2) -> and(X1,X2) [119] and(X1,mark(X2)) -> and(X1,X2) [120] and(active(X1),X2) -> and(X1,X2) [121] and(X1,active(X2)) -> and(X1,X2) [122] isNatIListKind(mark(X)) -> isNatIListKind(X) [123] isNatIListKind(active(X)) -> isNatIListKind(X) [124] isNatKind(mark(X)) -> isNatKind(X) [125] isNatKind(active(X)) -> isNatKind(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 23 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U12(X)) >= Marked_mark(X) ; Marked_mark(U12(X)) >= Marked_active(U12(mark(X))) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U22(X)) >= Marked_active(U22(mark(X))) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U32(X)) >= Marked_mark(X) ; Marked_mark(U32(X)) >= Marked_active(U32(mark(X))) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) ; Marked_mark(U42(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2)) >= Marked_active(U42(mark(X1),X2)) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(U43(X)) >= Marked_active(U43(mark(X))) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_active(U52(mark(X1),X2)) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2,X3)) >= Marked_active(U51(mark(X1),X2,X3)) ; Marked_mark(U53(X)) >= Marked_mark(X) ; Marked_mark(U53(X)) >= Marked_active(U53(mark(X))) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) ; Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatList(V1))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind(V1),V1)) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNat(V1))) ; Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatList(V))) ; Marked_active(U42(tt,V2)) >= Marked_mark(U43(isNatIList(V2))) ; Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNat(V1),V2)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V),V)) ; Marked_active(U52(tt,V2)) >= Marked_mark(U53(isNatList(V2))) ; Marked_active(U51(tt,V1,V2)) >= Marked_mark(U52(isNat(V1),V2)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N), isNatKind(N))), L)) ; Marked_active(U61(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark(and(isNatKind(V1), isNatIListKind(V2))) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(isNatKind(V1)) ; Marked_active(isNatKind(length(V1))) >= Marked_mark(isNatIListKind(V1)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(cons(X1,X2)) > Marked_active(cons(mark(X1),X2)) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U12(X)) > Marked_mark(X) ; } { Marked_mark(U12(X)) > Marked_active(U12(mark(X))) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U22(X)) > Marked_active(U22(mark(X))) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U32(X)) > Marked_mark(X) ; } { Marked_mark(U32(X)) > Marked_active(U32(mark(X))) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2)) > Marked_active(U31(mark(X1),X2)) ; } { Marked_mark(U42(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2)) > Marked_active(U42(mark(X1),X2)) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(U43(X)) > Marked_active(U43(mark(X))) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_active(U52(mark(X1),X2)) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_active(U51(mark(X1),X2,X3)) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } { Marked_mark(U53(X)) > Marked_active(U53(mark(X))) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2)) > Marked_active(U61(mark(X1),X2)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNatIListKind(X)) > Marked_active(isNatIListKind(X)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) ; } { Marked_active(U11(tt,V1)) > Marked_mark(U12(isNatList(V1))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatIListKind(V1),V1)) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNat(V1))) ; } { Marked_active(U31(tt,V)) > Marked_mark(U32(isNatList(V))) ; } { Marked_active(U42(tt,V2)) > Marked_mark(U43(isNatIList(V2))) ; } { Marked_active(U41(tt,V1,V2)) > Marked_mark(U42(isNat(V1),V2)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatIListKind(V),V)) ; } { Marked_active(U52(tt,V2)) > Marked_mark(U53(isNatList(V2))) ; } { Marked_active(U51(tt,V1,V2)) > Marked_mark(U52(isNat(V1),V2)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N), isNatKind(N))), L)) ; } { Marked_active(U61(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNatIListKind(cons(V1,V2))) > Marked_mark(and(isNatKind(V1), isNatIListKind(V2))) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(isNatKind(V1)) ; } { Marked_active(isNatKind(length(V1))) > Marked_mark(isNatIListKind(V1)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U12(X)) >= Marked_mark(X) constraint: Marked_mark(U12(X)) >= Marked_active(U12(mark(X))) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U22(X)) >= Marked_active(U22(mark(X))) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U32(X)) >= Marked_mark(X) constraint: Marked_mark(U32(X)) >= Marked_active(U32(mark(X))) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) constraint: Marked_mark(U42(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2)) >= Marked_active(U42(mark(X1),X2)) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(U43(X)) >= Marked_active(U43(mark(X))) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_active(U52(mark(X1),X2)) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_active(U51(mark(X1),X2,X3)) constraint: Marked_mark(U53(X)) >= Marked_mark(X) constraint: Marked_mark(U53(X)) >= Marked_active(U53(mark(X))) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( and( isNatKind( V1), isNatIListKind( V2)), V1, V2)) constraint: Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatList(V1))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind( V1), V1)) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNat(V1))) constraint: Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatList(V))) constraint: Marked_active(U42(tt,V2)) >= Marked_mark(U43(isNatIList(V2))) constraint: Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNat(V1),V2)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( and( isNatKind( V1), isNatIListKind( V2)), V1, V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V), V)) constraint: Marked_active(U52(tt,V2)) >= Marked_mark(U53(isNatList(V2))) constraint: Marked_active(U51(tt,V1,V2)) >= Marked_mark(U52(isNat(V1),V2)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(and(and( isNatList( L), isNatIListKind( L)), and( isNat(N), isNatKind(N))), L)) constraint: Marked_active(U61(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark( and(isNatKind(V1), isNatIListKind(V2))) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(isNatKind(V1)) constraint: Marked_active(isNatKind(length(V1))) >= Marked_mark(isNatIListKind( V1)) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_cons(mark(X1),X2) >= Marked_cons(X1,X2) ; Marked_cons(active(X1),X2) >= Marked_cons(X1,X2) ; Marked_cons(X1,mark(X2)) >= Marked_cons(X1,X2) ; Marked_cons(X1,active(X2)) >= Marked_cons(X1,X2) ; } + Disjunctions:{ { Marked_cons(mark(X1),X2) > Marked_cons(X1,X2) ; } { Marked_cons(active(X1),X2) > Marked_cons(X1,X2) ; } { Marked_cons(X1,mark(X2)) > Marked_cons(X1,X2) ; } { Marked_cons(X1,active(X2)) > Marked_cons(X1,X2) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_cons(mark(X1),X2) >= Marked_cons(X1,X2) constraint: Marked_cons(active(X1),X2) >= Marked_cons(X1,X2) constraint: Marked_cons(X1,mark(X2)) >= Marked_cons(X1,X2) constraint: Marked_cons(X1,active(X2)) >= Marked_cons(X1,X2) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U11(mark(X1),X2) >= Marked_U11(X1,X2) ; Marked_U11(active(X1),X2) >= Marked_U11(X1,X2) ; Marked_U11(X1,mark(X2)) >= Marked_U11(X1,X2) ; Marked_U11(X1,active(X2)) >= Marked_U11(X1,X2) ; } + Disjunctions:{ { Marked_U11(mark(X1),X2) > Marked_U11(X1,X2) ; } { Marked_U11(active(X1),X2) > Marked_U11(X1,X2) ; } { Marked_U11(X1,mark(X2)) > Marked_U11(X1,X2) ; } { Marked_U11(X1,active(X2)) > Marked_U11(X1,X2) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U11(mark(X1),X2) >= Marked_U11(X1,X2) constraint: Marked_U11(active(X1),X2) >= Marked_U11(X1,X2) constraint: Marked_U11(X1,mark(X2)) >= Marked_U11(X1,X2) constraint: Marked_U11(X1,active(X2)) >= Marked_U11(X1,X2) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U12(mark(X)) >= Marked_U12(X) ; Marked_U12(active(X)) >= Marked_U12(X) ; } + Disjunctions:{ { Marked_U12(mark(X)) > Marked_U12(X) ; } { Marked_U12(active(X)) > Marked_U12(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U12(mark(X)) >= Marked_U12(X) constraint: Marked_U12(active(X)) >= Marked_U12(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_isNatList(mark(X)) >= Marked_isNatList(X) ; Marked_isNatList(active(X)) >= Marked_isNatList(X) ; } + Disjunctions:{ { Marked_isNatList(mark(X)) > Marked_isNatList(X) ; } { Marked_isNatList(active(X)) > Marked_isNatList(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_isNatList(mark(X)) >= Marked_isNatList(X) constraint: Marked_isNatList(active(X)) >= Marked_isNatList(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U21(mark(X1),X2) >= Marked_U21(X1,X2) ; Marked_U21(active(X1),X2) >= Marked_U21(X1,X2) ; Marked_U21(X1,mark(X2)) >= Marked_U21(X1,X2) ; Marked_U21(X1,active(X2)) >= Marked_U21(X1,X2) ; } + Disjunctions:{ { Marked_U21(mark(X1),X2) > Marked_U21(X1,X2) ; } { Marked_U21(active(X1),X2) > Marked_U21(X1,X2) ; } { Marked_U21(X1,mark(X2)) > Marked_U21(X1,X2) ; } { Marked_U21(X1,active(X2)) > Marked_U21(X1,X2) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U21(mark(X1),X2) >= Marked_U21(X1,X2) constraint: Marked_U21(active(X1),X2) >= Marked_U21(X1,X2) constraint: Marked_U21(X1,mark(X2)) >= Marked_U21(X1,X2) constraint: Marked_U21(X1,active(X2)) >= Marked_U21(X1,X2) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U22(mark(X)) >= Marked_U22(X) ; Marked_U22(active(X)) >= Marked_U22(X) ; } + Disjunctions:{ { Marked_U22(mark(X)) > Marked_U22(X) ; } { Marked_U22(active(X)) > Marked_U22(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U22(mark(X)) >= Marked_U22(X) constraint: Marked_U22(active(X)) >= Marked_U22(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_isNat(mark(X)) >= Marked_isNat(X) ; Marked_isNat(active(X)) >= Marked_isNat(X) ; } + Disjunctions:{ { Marked_isNat(mark(X)) > Marked_isNat(X) ; } { Marked_isNat(active(X)) > Marked_isNat(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_isNat(mark(X)) >= Marked_isNat(X) constraint: Marked_isNat(active(X)) >= Marked_isNat(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U31(mark(X1),X2) >= Marked_U31(X1,X2) ; Marked_U31(active(X1),X2) >= Marked_U31(X1,X2) ; Marked_U31(X1,mark(X2)) >= Marked_U31(X1,X2) ; Marked_U31(X1,active(X2)) >= Marked_U31(X1,X2) ; } + Disjunctions:{ { Marked_U31(mark(X1),X2) > Marked_U31(X1,X2) ; } { Marked_U31(active(X1),X2) > Marked_U31(X1,X2) ; } { Marked_U31(X1,mark(X2)) > Marked_U31(X1,X2) ; } { Marked_U31(X1,active(X2)) > Marked_U31(X1,X2) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U31(mark(X1),X2) >= Marked_U31(X1,X2) constraint: Marked_U31(active(X1),X2) >= Marked_U31(X1,X2) constraint: Marked_U31(X1,mark(X2)) >= Marked_U31(X1,X2) constraint: Marked_U31(X1,active(X2)) >= Marked_U31(X1,X2) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U32(mark(X)) >= Marked_U32(X) ; Marked_U32(active(X)) >= Marked_U32(X) ; } + Disjunctions:{ { Marked_U32(mark(X)) > Marked_U32(X) ; } { Marked_U32(active(X)) > Marked_U32(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U32(mark(X)) >= Marked_U32(X) constraint: Marked_U32(active(X)) >= Marked_U32(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U41(mark(X1),X2,X3) >= Marked_U41(X1,X2,X3) ; Marked_U41(active(X1),X2,X3) >= Marked_U41(X1,X2,X3) ; Marked_U41(X1,mark(X2),X3) >= Marked_U41(X1,X2,X3) ; Marked_U41(X1,active(X2),X3) >= Marked_U41(X1,X2,X3) ; Marked_U41(X1,X2,mark(X3)) >= Marked_U41(X1,X2,X3) ; Marked_U41(X1,X2,active(X3)) >= Marked_U41(X1,X2,X3) ; } + Disjunctions:{ { Marked_U41(mark(X1),X2,X3) > Marked_U41(X1,X2,X3) ; } { Marked_U41(active(X1),X2,X3) > Marked_U41(X1,X2,X3) ; } { Marked_U41(X1,mark(X2),X3) > Marked_U41(X1,X2,X3) ; } { Marked_U41(X1,active(X2),X3) > Marked_U41(X1,X2,X3) ; } { Marked_U41(X1,X2,mark(X3)) > Marked_U41(X1,X2,X3) ; } { Marked_U41(X1,X2,active(X3)) > Marked_U41(X1,X2,X3) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U41(mark(X1),X2,X3) >= Marked_U41(X1,X2,X3) constraint: Marked_U41(active(X1),X2,X3) >= Marked_U41(X1,X2,X3) constraint: Marked_U41(X1,mark(X2),X3) >= Marked_U41(X1,X2,X3) constraint: Marked_U41(X1,active(X2),X3) >= Marked_U41(X1,X2,X3) constraint: Marked_U41(X1,X2,mark(X3)) >= Marked_U41(X1,X2,X3) constraint: Marked_U41(X1,X2,active(X3)) >= Marked_U41(X1,X2,X3) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U42(mark(X1),X2) >= Marked_U42(X1,X2) ; Marked_U42(active(X1),X2) >= Marked_U42(X1,X2) ; Marked_U42(X1,mark(X2)) >= Marked_U42(X1,X2) ; Marked_U42(X1,active(X2)) >= Marked_U42(X1,X2) ; } + Disjunctions:{ { Marked_U42(mark(X1),X2) > Marked_U42(X1,X2) ; } { Marked_U42(active(X1),X2) > Marked_U42(X1,X2) ; } { Marked_U42(X1,mark(X2)) > Marked_U42(X1,X2) ; } { Marked_U42(X1,active(X2)) > Marked_U42(X1,X2) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U42(mark(X1),X2) >= Marked_U42(X1,X2) constraint: Marked_U42(active(X1),X2) >= Marked_U42(X1,X2) constraint: Marked_U42(X1,mark(X2)) >= Marked_U42(X1,X2) constraint: Marked_U42(X1,active(X2)) >= Marked_U42(X1,X2) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U43(mark(X)) >= Marked_U43(X) ; Marked_U43(active(X)) >= Marked_U43(X) ; } + Disjunctions:{ { Marked_U43(mark(X)) > Marked_U43(X) ; } { Marked_U43(active(X)) > Marked_U43(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U43(mark(X)) >= Marked_U43(X) constraint: Marked_U43(active(X)) >= Marked_U43(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_isNatIList(mark(X)) >= Marked_isNatIList(X) ; Marked_isNatIList(active(X)) >= Marked_isNatIList(X) ; } + Disjunctions:{ { Marked_isNatIList(mark(X)) > Marked_isNatIList(X) ; } { Marked_isNatIList(active(X)) > Marked_isNatIList(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_isNatIList(mark(X)) >= Marked_isNatIList(X) constraint: Marked_isNatIList(active(X)) >= Marked_isNatIList(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U51(mark(X1),X2,X3) >= Marked_U51(X1,X2,X3) ; Marked_U51(active(X1),X2,X3) >= Marked_U51(X1,X2,X3) ; Marked_U51(X1,mark(X2),X3) >= Marked_U51(X1,X2,X3) ; Marked_U51(X1,active(X2),X3) >= Marked_U51(X1,X2,X3) ; Marked_U51(X1,X2,mark(X3)) >= Marked_U51(X1,X2,X3) ; Marked_U51(X1,X2,active(X3)) >= Marked_U51(X1,X2,X3) ; } + Disjunctions:{ { Marked_U51(mark(X1),X2,X3) > Marked_U51(X1,X2,X3) ; } { Marked_U51(active(X1),X2,X3) > Marked_U51(X1,X2,X3) ; } { Marked_U51(X1,mark(X2),X3) > Marked_U51(X1,X2,X3) ; } { Marked_U51(X1,active(X2),X3) > Marked_U51(X1,X2,X3) ; } { Marked_U51(X1,X2,mark(X3)) > Marked_U51(X1,X2,X3) ; } { Marked_U51(X1,X2,active(X3)) > Marked_U51(X1,X2,X3) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U51(mark(X1),X2,X3) >= Marked_U51(X1,X2,X3) constraint: Marked_U51(active(X1),X2,X3) >= Marked_U51(X1,X2,X3) constraint: Marked_U51(X1,mark(X2),X3) >= Marked_U51(X1,X2,X3) constraint: Marked_U51(X1,active(X2),X3) >= Marked_U51(X1,X2,X3) constraint: Marked_U51(X1,X2,mark(X3)) >= Marked_U51(X1,X2,X3) constraint: Marked_U51(X1,X2,active(X3)) >= Marked_U51(X1,X2,X3) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U52(mark(X1),X2) >= Marked_U52(X1,X2) ; Marked_U52(active(X1),X2) >= Marked_U52(X1,X2) ; Marked_U52(X1,mark(X2)) >= Marked_U52(X1,X2) ; Marked_U52(X1,active(X2)) >= Marked_U52(X1,X2) ; } + Disjunctions:{ { Marked_U52(mark(X1),X2) > Marked_U52(X1,X2) ; } { Marked_U52(active(X1),X2) > Marked_U52(X1,X2) ; } { Marked_U52(X1,mark(X2)) > Marked_U52(X1,X2) ; } { Marked_U52(X1,active(X2)) > Marked_U52(X1,X2) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U52(mark(X1),X2) >= Marked_U52(X1,X2) constraint: Marked_U52(active(X1),X2) >= Marked_U52(X1,X2) constraint: Marked_U52(X1,mark(X2)) >= Marked_U52(X1,X2) constraint: Marked_U52(X1,active(X2)) >= Marked_U52(X1,X2) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U53(mark(X)) >= Marked_U53(X) ; Marked_U53(active(X)) >= Marked_U53(X) ; } + Disjunctions:{ { Marked_U53(mark(X)) > Marked_U53(X) ; } { Marked_U53(active(X)) > Marked_U53(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U53(mark(X)) >= Marked_U53(X) constraint: Marked_U53(active(X)) >= Marked_U53(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U61(mark(X1),X2) >= Marked_U61(X1,X2) ; Marked_U61(active(X1),X2) >= Marked_U61(X1,X2) ; Marked_U61(X1,mark(X2)) >= Marked_U61(X1,X2) ; Marked_U61(X1,active(X2)) >= Marked_U61(X1,X2) ; } + Disjunctions:{ { Marked_U61(mark(X1),X2) > Marked_U61(X1,X2) ; } { Marked_U61(active(X1),X2) > Marked_U61(X1,X2) ; } { Marked_U61(X1,mark(X2)) > Marked_U61(X1,X2) ; } { Marked_U61(X1,active(X2)) > Marked_U61(X1,X2) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_U61(mark(X1),X2) >= Marked_U61(X1,X2) constraint: Marked_U61(active(X1),X2) >= Marked_U61(X1,X2) constraint: Marked_U61(X1,mark(X2)) >= Marked_U61(X1,X2) constraint: Marked_U61(X1,active(X2)) >= Marked_U61(X1,X2) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_s(mark(X)) >= Marked_s(X) ; Marked_s(active(X)) >= Marked_s(X) ; } + Disjunctions:{ { Marked_s(mark(X)) > Marked_s(X) ; } { Marked_s(active(X)) > Marked_s(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_s(mark(X)) >= Marked_s(X) constraint: Marked_s(active(X)) >= Marked_s(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_length(mark(X)) >= Marked_length(X) ; Marked_length(active(X)) >= Marked_length(X) ; } + Disjunctions:{ { Marked_length(mark(X)) > Marked_length(X) ; } { Marked_length(active(X)) > Marked_length(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_length(mark(X)) >= Marked_length(X) constraint: Marked_length(active(X)) >= Marked_length(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_and(mark(X1),X2) >= Marked_and(X1,X2) ; Marked_and(active(X1),X2) >= Marked_and(X1,X2) ; Marked_and(X1,mark(X2)) >= Marked_and(X1,X2) ; Marked_and(X1,active(X2)) >= Marked_and(X1,X2) ; } + Disjunctions:{ { Marked_and(mark(X1),X2) > Marked_and(X1,X2) ; } { Marked_and(active(X1),X2) > Marked_and(X1,X2) ; } { Marked_and(X1,mark(X2)) > Marked_and(X1,X2) ; } { Marked_and(X1,active(X2)) > Marked_and(X1,X2) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_and(mark(X1),X2) >= Marked_and(X1,X2) constraint: Marked_and(active(X1),X2) >= Marked_and(X1,X2) constraint: Marked_and(X1,mark(X2)) >= Marked_and(X1,X2) constraint: Marked_and(X1,active(X2)) >= Marked_and(X1,X2) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_isNatIListKind(mark(X)) >= Marked_isNatIListKind(X) ; Marked_isNatIListKind(active(X)) >= Marked_isNatIListKind(X) ; } + Disjunctions:{ { Marked_isNatIListKind(mark(X)) > Marked_isNatIListKind(X) ; } { Marked_isNatIListKind(active(X)) > Marked_isNatIListKind(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_isNatIListKind(mark(X)) >= Marked_isNatIListKind(X) constraint: Marked_isNatIListKind(active(X)) >= Marked_isNatIListKind(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_isNatKind(mark(X)) >= Marked_isNatKind(X) ; Marked_isNatKind(active(X)) >= Marked_isNatKind(X) ; } + Disjunctions:{ { Marked_isNatKind(mark(X)) > Marked_isNatKind(X) ; } { Marked_isNatKind(active(X)) > Marked_isNatKind(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_isNatKind(mark(X)) >= Marked_isNatKind(X) constraint: Marked_isNatKind(active(X)) >= Marked_isNatKind(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X)) >= active(U32(mark(X))) ; mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) ; mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(U43(X)) >= active(U43(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(U53(X)) >= active(U53(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatIListKind(X)) >= active(isNatIListKind(X)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U12(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U11(tt,V1)) >= mark(U12(isNatList(V1))) ; active(U22(tt)) >= mark(tt) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt)) >= mark(tt) ; active(U31(tt,V)) >= mark(U32(isNatList(V))) ; active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) ; active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) ; active(U43(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)),V1, V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) ; active(U52(tt,V2)) >= mark(U53(isNatList(V2))) ; active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) ; active(U53(tt)) >= mark(tt) ; active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) ; active(length(nil)) >= mark(0) ; active(U61(tt,L)) >= mark(s(length(L))) ; active(and(tt,X)) >= mark(X) ; active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) ; active(isNatIListKind(zeros)) >= mark(tt) ; active(isNatIListKind(nil)) >= mark(tt) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X)) >= U32(X) ; U32(active(X)) >= U32(X) ; U31(mark(X1),X2) >= U31(X1,X2) ; U31(active(X1),X2) >= U31(X1,X2) ; U31(X1,mark(X2)) >= U31(X1,X2) ; U31(X1,active(X2)) >= U31(X1,X2) ; U42(mark(X1),X2) >= U42(X1,X2) ; U42(active(X1),X2) >= U42(X1,X2) ; U42(X1,mark(X2)) >= U42(X1,X2) ; U42(X1,active(X2)) >= U42(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; U43(mark(X)) >= U43(X) ; U43(active(X)) >= U43(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(X) ; U52(mark(X1),X2) >= U52(X1,X2) ; U52(active(X1),X2) >= U52(X1,X2) ; U52(X1,mark(X2)) >= U52(X1,X2) ; U52(X1,active(X2)) >= U52(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U53(mark(X)) >= U53(X) ; U53(active(X)) >= U53(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatIListKind(mark(X)) >= isNatIListKind(X) ; isNatIListKind(active(X)) >= isNatIListKind(X) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U12(X)) >= Marked_mark(X) ; Marked_mark(U12(X)) >= Marked_active(U12(mark(X))) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U32(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) ; Marked_mark(U42(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2)) >= Marked_active(U42(mark(X1),X2)) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_active(U52(mark(X1),X2)) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2,X3)) >= Marked_active(U51(mark(X1),X2,X3)) ; Marked_mark(U53(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) ; Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatList(V1))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind(V1),V1)) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNat(V1))) ; Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatList(V))) ; Marked_active(U42(tt,V2)) >= Marked_mark(U43(isNatIList(V2))) ; Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNat(V1),V2)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V),V)) ; Marked_active(U52(tt,V2)) >= Marked_mark(U53(isNatList(V2))) ; Marked_active(U51(tt,V1,V2)) >= Marked_mark(U52(isNat(V1),V2)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N), isNatKind(N))), L)) ; Marked_active(U61(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark(and(isNatKind(V1), isNatIListKind(V2))) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(isNatKind(V1)) ; Marked_active(isNatKind(length(V1))) >= Marked_mark(isNatIListKind(V1)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U12(X)) > Marked_mark(X) ; } { Marked_mark(U12(X)) > Marked_active(U12(mark(X))) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U32(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2)) > Marked_active(U31(mark(X1),X2)) ; } { Marked_mark(U42(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2)) > Marked_active(U42(mark(X1),X2)) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_active(U52(mark(X1),X2)) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_active(U51(mark(X1),X2,X3)) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2)) > Marked_active(U61(mark(X1),X2)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNatIListKind(X)) > Marked_active(isNatIListKind(X)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) ; } { Marked_active(U11(tt,V1)) > Marked_mark(U12(isNatList(V1))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatIListKind(V1),V1)) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNat(V1))) ; } { Marked_active(U31(tt,V)) > Marked_mark(U32(isNatList(V))) ; } { Marked_active(U42(tt,V2)) > Marked_mark(U43(isNatIList(V2))) ; } { Marked_active(U41(tt,V1,V2)) > Marked_mark(U42(isNat(V1),V2)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatIListKind(V),V)) ; } { Marked_active(U52(tt,V2)) > Marked_mark(U53(isNatList(V2))) ; } { Marked_active(U51(tt,V1,V2)) > Marked_mark(U52(isNat(V1),V2)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N), isNatKind(N))), L)) ; } { Marked_active(U61(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNatIListKind(cons(V1,V2))) > Marked_mark(and(isNatKind(V1), isNatIListKind(V2))) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(isNatKind(V1)) ; } { Marked_active(isNatKind(length(V1))) > Marked_mark(isNatIListKind(V1)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X)) >= active(U32(mark(X))) constraint: mark(U31(X1,X2)) >= active(U31(mark(X1),X2)) constraint: mark(U42(X1,X2)) >= active(U42(mark(X1),X2)) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(U43(X)) >= active(U43(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U52(X1,X2)) >= active(U52(mark(X1),X2)) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(U53(X)) >= active(U53(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatIListKind(X)) >= active(isNatIListKind(X)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U12(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U11(tt,V1)) >= mark(U12(isNatList(V1))) constraint: active(U22(tt)) >= mark(tt) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(length(V1))) >= mark(U11(isNatIListKind(V1),V1)) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt)) >= mark(tt) constraint: active(U31(tt,V)) >= mark(U32(isNatList(V))) constraint: active(U42(tt,V2)) >= mark(U43(isNatIList(V2))) constraint: active(U41(tt,V1,V2)) >= mark(U42(isNat(V1),V2)) constraint: active(U43(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1,V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatIListKind(V),V)) constraint: active(U52(tt,V2)) >= mark(U53(isNatList(V2))) constraint: active(U51(tt,V1,V2)) >= mark(U52(isNat(V1),V2)) constraint: active(U53(tt)) >= mark(tt) constraint: active(length(cons(N,L))) >= mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L)) constraint: active(length(nil)) >= mark(0) constraint: active(U61(tt,L)) >= mark(s(length(L))) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatIListKind(cons(V1,V2))) >= mark(and(isNatKind(V1), isNatIListKind(V2))) constraint: active(isNatIListKind(zeros)) >= mark(tt) constraint: active(isNatIListKind(nil)) >= mark(tt) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(length(V1))) >= mark(isNatIListKind(V1)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X)) >= U32(X) constraint: U32(active(X)) >= U32(X) constraint: U31(mark(X1),X2) >= U31(X1,X2) constraint: U31(active(X1),X2) >= U31(X1,X2) constraint: U31(X1,mark(X2)) >= U31(X1,X2) constraint: U31(X1,active(X2)) >= U31(X1,X2) constraint: U42(mark(X1),X2) >= U42(X1,X2) constraint: U42(active(X1),X2) >= U42(X1,X2) constraint: U42(X1,mark(X2)) >= U42(X1,X2) constraint: U42(X1,active(X2)) >= U42(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: U43(mark(X)) >= U43(X) constraint: U43(active(X)) >= U43(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(X) constraint: U52(mark(X1),X2) >= U52(X1,X2) constraint: U52(active(X1),X2) >= U52(X1,X2) constraint: U52(X1,mark(X2)) >= U52(X1,X2) constraint: U52(X1,active(X2)) >= U52(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U53(mark(X)) >= U53(X) constraint: U53(active(X)) >= U53(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatIListKind(mark(X)) >= isNatIListKind(X) constraint: isNatIListKind(active(X)) >= isNatIListKind(X) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U12(X)) >= Marked_mark(X) constraint: Marked_mark(U12(X)) >= Marked_active(U12(mark(X))) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U32(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2)) >= Marked_active(U31(mark(X1),X2)) constraint: Marked_mark(U42(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2)) >= Marked_active(U42(mark(X1),X2)) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_active(U52(mark(X1),X2)) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_active(U51(mark(X1),X2,X3)) constraint: Marked_mark(U53(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNatIListKind(X)) >= Marked_active(isNatIListKind(X)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( and( isNatKind( V1), isNatIListKind( V2)), V1, V2)) constraint: Marked_active(U11(tt,V1)) >= Marked_mark(U12(isNatList(V1))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatIListKind( V1), V1)) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNat(V1))) constraint: Marked_active(U31(tt,V)) >= Marked_mark(U32(isNatList(V))) constraint: Marked_active(U42(tt,V2)) >= Marked_mark(U43(isNatIList(V2))) constraint: Marked_active(U41(tt,V1,V2)) >= Marked_mark(U42(isNat(V1),V2)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( and( isNatKind( V1), isNatIListKind( V2)), V1, V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatIListKind(V), V)) constraint: Marked_active(U52(tt,V2)) >= Marked_mark(U53(isNatList(V2))) constraint: Marked_active(U51(tt,V1,V2)) >= Marked_mark(U52(isNat(V1),V2)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(and(and( isNatList( L), isNatIListKind( L)), and( isNat(N), isNatKind(N))), L)) constraint: Marked_active(U61(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNatIListKind(cons(V1,V2))) >= Marked_mark( and(isNatKind(V1), isNatIListKind(V2))) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(isNatKind(V1)) constraint: Marked_active(isNatKind(length(V1))) >= Marked_mark(isNatIListKind( V1)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> -->