- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] a__zeros -> cons(0,zeros) [2] a__U11(tt,V1) -> a__U12(a__isNatList(V1)) [3] a__U12(tt) -> tt [4] a__U21(tt,V1) -> a__U22(a__isNat(V1)) [5] a__U22(tt) -> tt [6] a__U31(tt,V) -> a__U32(a__isNatList(V)) [7] a__U32(tt) -> tt [8] a__U41(tt,V1,V2) -> a__U42(a__isNat(V1),V2) [9] a__U42(tt,V2) -> a__U43(a__isNatIList(V2)) [10] a__U43(tt) -> tt [11] a__U51(tt,V1,V2) -> a__U52(a__isNat(V1),V2) [12] a__U52(tt,V2) -> a__U53(a__isNatList(V2)) [13] a__U53(tt) -> tt [14] a__U61(tt,L) -> s(a__length(mark(L))) [15] a__and(tt,X) -> mark(X) [16] a__isNat(0) -> tt [17] a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1),V1) [18] a__isNat(s(V1)) -> a__U21(a__isNatKind(V1),V1) [19] a__isNatIList(V) -> a__U31(a__isNatIListKind(V),V) [20] a__isNatIList(zeros) -> tt [21] a__isNatIList(cons(V1,V2)) -> a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2) [22] a__isNatIListKind(nil) -> tt [23] a__isNatIListKind(zeros) -> tt [24] a__isNatIListKind(cons(V1,V2)) -> a__and(a__isNatKind(V1),isNatIListKind(V2)) [25] a__isNatKind(0) -> tt [26] a__isNatKind(length(V1)) -> a__isNatIListKind(V1) [27] a__isNatKind(s(V1)) -> a__isNatKind(V1) [28] a__isNatList(nil) -> tt [29] a__isNatList(cons(V1,V2)) -> a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2) [30] a__length(nil) -> 0 [31] a__length(cons(N,L)) -> a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) [32] mark(zeros) -> a__zeros [33] mark(U11(X1,X2)) -> a__U11(mark(X1),X2) [34] mark(U12(X)) -> a__U12(mark(X)) [35] mark(isNatList(X)) -> a__isNatList(X) [36] mark(U21(X1,X2)) -> a__U21(mark(X1),X2) [37] mark(U22(X)) -> a__U22(mark(X)) [38] mark(isNat(X)) -> a__isNat(X) [39] mark(U31(X1,X2)) -> a__U31(mark(X1),X2) [40] mark(U32(X)) -> a__U32(mark(X)) [41] mark(U41(X1,X2,X3)) -> a__U41(mark(X1),X2,X3) [42] mark(U42(X1,X2)) -> a__U42(mark(X1),X2) [43] mark(U43(X)) -> a__U43(mark(X)) [44] mark(isNatIList(X)) -> a__isNatIList(X) [45] mark(U51(X1,X2,X3)) -> a__U51(mark(X1),X2,X3) [46] mark(U52(X1,X2)) -> a__U52(mark(X1),X2) [47] mark(U53(X)) -> a__U53(mark(X)) [48] mark(U61(X1,X2)) -> a__U61(mark(X1),X2) [49] mark(length(X)) -> a__length(mark(X)) [50] mark(and(X1,X2)) -> a__and(mark(X1),X2) [51] mark(isNatIListKind(X)) -> a__isNatIListKind(X) [52] mark(isNatKind(X)) -> a__isNatKind(X) [53] mark(cons(X1,X2)) -> cons(mark(X1),X2) [54] mark(0) -> 0 [55] mark(tt) -> tt [56] mark(s(X)) -> s(mark(X)) [57] mark(nil) -> nil [58] a__zeros -> zeros [59] a__U11(X1,X2) -> U11(X1,X2) [60] a__U12(X) -> U12(X) [61] a__isNatList(X) -> isNatList(X) [62] a__U21(X1,X2) -> U21(X1,X2) [63] a__U22(X) -> U22(X) [64] a__isNat(X) -> isNat(X) [65] a__U31(X1,X2) -> U31(X1,X2) [66] a__U32(X) -> U32(X) [67] a__U41(X1,X2,X3) -> U41(X1,X2,X3) [68] a__U42(X1,X2) -> U42(X1,X2) [69] a__U43(X) -> U43(X) [70] a__isNatIList(X) -> isNatIList(X) [71] a__U51(X1,X2,X3) -> U51(X1,X2,X3) [72] a__U52(X1,X2) -> U52(X1,X2) [73] a__U53(X) -> U53(X) [74] a__U61(X1,X2) -> U61(X1,X2) [75] a__length(X) -> length(X) [76] a__and(X1,X2) -> and(X1,X2) [77] a__isNatIListKind(X) -> isNatIListKind(X) [78] a__isNatKind(X) -> isNatKind(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_a__length(cons(N,L)) >= Marked_a__and(a__isNatList(L), isNatIListKind(L)) ; Marked_a__length(cons(N,L)) >= Marked_a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))) ; Marked_a__length(cons(N,L)) >= Marked_a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) ; Marked_a__length(cons(N,L)) >= Marked_a__isNatList(L) ; Marked_a__U61(tt,L) >= Marked_a__length(mark(L)) ; Marked_a__U61(tt,L) >= Marked_mark(L) ; Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) ; Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) ; Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__U31(tt,V) >= Marked_a__isNatList(V) ; Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__isNat(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNat(length(V1)) >= Marked_a__U11(a__isNatIListKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; Marked_a__U11(tt,V1) >= Marked_a__isNatList(V1) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_a__length(mark(X)) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNat(X)) >= Marked_a__isNat(X) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(U11(X1,X2)) >= Marked_a__U11(mark(X1),X2) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) ; Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) ; Marked_mark(U42(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) ; Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U53(X)) >= Marked_mark(X) ; Marked_mark(U61(X1,X2)) >= Marked_a__U61(mark(X1),X2) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_a__length(cons(N,L)) > Marked_a__and(a__isNatList(L), isNatIListKind(L)) ; } { Marked_a__length(cons(N,L)) > Marked_a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))) ; } { Marked_a__length(cons(N,L)) > Marked_a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) ; } { Marked_a__length(cons(N,L)) > Marked_a__isNatList(L) ; } { Marked_a__U61(tt,L) > Marked_a__length(mark(L)) ; } { Marked_a__U61(tt,L) > Marked_mark(L) ; } { Marked_a__U52(tt,V2) > Marked_a__isNatList(V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__U52(a__isNat(V1),V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; } { Marked_a__isNatIList(V) > Marked_a__isNatIListKind(V) ; } { Marked_a__isNatIList(V) > Marked_a__U31(a__isNatIListKind(V),V) ; } { Marked_a__U42(tt,V2) > Marked_a__isNatIList(V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__U42(a__isNat(V1),V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__U31(tt,V) > Marked_a__isNatList(V) ; } { Marked_a__isNat(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__isNat(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNat(length(V1)) > Marked_a__U11(a__isNatIListKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; } { Marked_a__U11(tt,V1) > Marked_a__isNatList(V1) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_a__length(mark(X)) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNat(X)) > Marked_a__isNat(X) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(U11(X1,X2)) > Marked_a__U11(mark(X1),X2) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_a__isNatList(X) ; } { Marked_mark(U21(X1,X2)) > Marked_a__U21(mark(X1),X2) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_a__U31(mark(X1),X2) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_a__U41(mark(X1),X2,X3) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2)) > Marked_a__U42(mark(X1),X2) ; } { Marked_mark(U42(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_a__isNatIList(X) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_a__U51(mark(X1),X2,X3) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_a__U52(mark(X1),X2) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } { Marked_mark(U61(X1,X2)) > Marked_a__U61(mark(X1),X2) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_a__length(cons(N,L)) >= Marked_a__and(a__isNatList(L), isNatIListKind(L)) constraint: Marked_a__length(cons(N,L)) >= Marked_a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))) constraint: Marked_a__length(cons(N,L)) >= Marked_a__U61(a__and(a__and( a__isNatList( L), isNatIListKind( L)), and(isNat(N), isNatKind(N))), L) constraint: Marked_a__length(cons(N,L)) >= Marked_a__isNatList(L) constraint: Marked_a__U61(tt,L) >= Marked_a__length(mark(L)) constraint: Marked_a__U61(tt,L) >= Marked_mark(L) constraint: Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__U41(a__and( a__isNatKind( V1), isNatIListKind( V2)), V1,V2) constraint: Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) constraint: Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) constraint: Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__U31(tt,V) >= Marked_a__isNatList(V) constraint: Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__isNat(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNat(length(V1)) >= Marked_a__U11(a__isNatIListKind(V1), V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and( a__isNatKind( V1), isNatIListKind( V2)), V1,V2) constraint: Marked_a__U11(tt,V1) >= Marked_a__isNatList(V1) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_a__length(mark(X)) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNat(X)) >= Marked_a__isNat(X) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_a__U11(mark(X1),X2) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) constraint: Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) constraint: Marked_mark(U42(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U53(X)) >= Marked_mark(X) constraint: Marked_mark(U61(X1,X2)) >= Marked_a__U61(mark(X1),X2) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) APPLY CRITERIA (Graph splitting) Found 2 components: { --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__length(cons(N,L)) >= Marked_a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) ; Marked_a__U61(tt,L) >= Marked_a__length(mark(L)) ; } + Disjunctions:{ { Marked_a__length(cons(N,L)) > Marked_a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) ; } { Marked_a__U61(tt,L) > Marked_a__length(mark(L)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__length(cons(N,L)) >= Marked_a__U61(a__and(a__and( a__isNatList( L), isNatIListKind( L)), and(isNat(N), isNatKind(N))), L) constraint: Marked_a__U61(tt,L) >= Marked_a__length(mark(L)) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) ; Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) ; Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__U31(tt,V) >= Marked_a__isNatList(V) ; Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__isNat(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNat(length(V1)) >= Marked_a__U11(a__isNatIListKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; Marked_a__U11(tt,V1) >= Marked_a__isNatList(V1) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNat(X)) >= Marked_a__isNat(X) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(U11(X1,X2)) >= Marked_a__U11(mark(X1),X2) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) ; Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) ; Marked_mark(U42(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) ; Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_a__U52(tt,V2) > Marked_a__isNatList(V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__U52(a__isNat(V1),V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; } { Marked_a__isNatIList(V) > Marked_a__isNatIListKind(V) ; } { Marked_a__isNatIList(V) > Marked_a__U31(a__isNatIListKind(V),V) ; } { Marked_a__U42(tt,V2) > Marked_a__isNatIList(V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__U42(a__isNat(V1),V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__U31(tt,V) > Marked_a__isNatList(V) ; } { Marked_a__isNat(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__isNat(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNat(length(V1)) > Marked_a__U11(a__isNatIListKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; } { Marked_a__U11(tt,V1) > Marked_a__isNatList(V1) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNat(X)) > Marked_a__isNat(X) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(U11(X1,X2)) > Marked_a__U11(mark(X1),X2) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_a__isNatList(X) ; } { Marked_mark(U21(X1,X2)) > Marked_a__U21(mark(X1),X2) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_a__U31(mark(X1),X2) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_a__U41(mark(X1),X2,X3) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2)) > Marked_a__U42(mark(X1),X2) ; } { Marked_mark(U42(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_a__isNatIList(X) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_a__U51(mark(X1),X2,X3) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_a__U52(mark(X1),X2) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__U41(a__and( a__isNatKind( V1), isNatIListKind( V2)), V1,V2) constraint: Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) constraint: Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) constraint: Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__U31(tt,V) >= Marked_a__isNatList(V) constraint: Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__isNat(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNat(length(V1)) >= Marked_a__U11(a__isNatIListKind(V1), V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and( a__isNatKind( V1), isNatIListKind( V2)), V1,V2) constraint: Marked_a__U11(tt,V1) >= Marked_a__isNatList(V1) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNat(X)) >= Marked_a__isNat(X) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_a__U11(mark(X1),X2) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) constraint: Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) constraint: Marked_mark(U42(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) ; Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) ; Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__U31(tt,V) >= Marked_a__isNatList(V) ; Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; Marked_a__U11(tt,V1) >= Marked_a__isNatList(V1) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNat(X)) >= Marked_a__isNat(X) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(U11(X1,X2)) >= Marked_a__U11(mark(X1),X2) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) ; Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) ; Marked_mark(U42(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) ; Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_a__U52(tt,V2) > Marked_a__isNatList(V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__U52(a__isNat(V1),V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; } { Marked_a__isNatIList(V) > Marked_a__isNatIListKind(V) ; } { Marked_a__isNatIList(V) > Marked_a__U31(a__isNatIListKind(V),V) ; } { Marked_a__U42(tt,V2) > Marked_a__isNatIList(V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__U42(a__isNat(V1),V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__U31(tt,V) > Marked_a__isNatList(V) ; } { Marked_a__isNat(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; } { Marked_a__U11(tt,V1) > Marked_a__isNatList(V1) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNat(X)) > Marked_a__isNat(X) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(U11(X1,X2)) > Marked_a__U11(mark(X1),X2) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_a__isNatList(X) ; } { Marked_mark(U21(X1,X2)) > Marked_a__U21(mark(X1),X2) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_a__U31(mark(X1),X2) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_a__U41(mark(X1),X2,X3) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2)) > Marked_a__U42(mark(X1),X2) ; } { Marked_mark(U42(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_a__isNatIList(X) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_a__U51(mark(X1),X2,X3) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_a__U52(mark(X1),X2) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__U41(a__and( a__isNatKind( V1), isNatIListKind( V2)), V1,V2) constraint: Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) constraint: Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) constraint: Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__U31(tt,V) >= Marked_a__isNatList(V) constraint: Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and( a__isNatKind( V1), isNatIListKind( V2)), V1,V2) constraint: Marked_a__U11(tt,V1) >= Marked_a__isNatList(V1) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNat(X)) >= Marked_a__isNat(X) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_a__U11(mark(X1),X2) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) constraint: Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) constraint: Marked_mark(U42(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) ; Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) ; Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__U31(tt,V) >= Marked_a__isNatList(V) ; Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; Marked_a__U11(tt,V1) >= Marked_a__isNatList(V1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNat(X)) >= Marked_a__isNat(X) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(U11(X1,X2)) >= Marked_a__U11(mark(X1),X2) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) ; Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) ; Marked_mark(U42(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) ; Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_a__U52(tt,V2) > Marked_a__isNatList(V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__U52(a__isNat(V1),V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__isNatIList(cons(V1,V2)) > Marked_a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; } { Marked_a__isNatIList(V) > Marked_a__isNatIListKind(V) ; } { Marked_a__isNatIList(V) > Marked_a__U31(a__isNatIListKind(V),V) ; } { Marked_a__U42(tt,V2) > Marked_a__isNatIList(V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__U42(a__isNat(V1),V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__U31(tt,V) > Marked_a__isNatList(V) ; } { Marked_a__isNat(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; } { Marked_a__U11(tt,V1) > Marked_a__isNatList(V1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNat(X)) > Marked_a__isNat(X) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(U11(X1,X2)) > Marked_a__U11(mark(X1),X2) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_a__isNatList(X) ; } { Marked_mark(U21(X1,X2)) > Marked_a__U21(mark(X1),X2) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_a__U31(mark(X1),X2) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_a__U41(mark(X1),X2,X3) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2)) > Marked_a__U42(mark(X1),X2) ; } { Marked_mark(U42(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_a__isNatIList(X) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_a__U51(mark(X1),X2,X3) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_a__U52(mark(X1),X2) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: Marked_a__isNatIList(cons(V1,V2)) >= Marked_a__U41(a__and( a__isNatKind( V1), isNatIListKind( V2)), V1,V2) constraint: Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) constraint: Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) constraint: Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__U31(tt,V) >= Marked_a__isNatList(V) constraint: Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and( a__isNatKind( V1), isNatIListKind( V2)), V1,V2) constraint: Marked_a__U11(tt,V1) >= Marked_a__isNatList(V1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNat(X)) >= Marked_a__isNat(X) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_a__U11(mark(X1),X2) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) constraint: Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) constraint: Marked_mark(U42(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) ; Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) ; Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__U31(tt,V) >= Marked_a__isNatList(V) ; Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; Marked_a__U11(tt,V1) >= Marked_a__isNatList(V1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNat(X)) >= Marked_a__isNat(X) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(U11(X1,X2)) >= Marked_a__U11(mark(X1),X2) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) ; Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) ; Marked_mark(U42(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) ; Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_a__U52(tt,V2) > Marked_a__isNatList(V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__U52(a__isNat(V1),V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__isNatIList(V) > Marked_a__isNatIListKind(V) ; } { Marked_a__isNatIList(V) > Marked_a__U31(a__isNatIListKind(V),V) ; } { Marked_a__U42(tt,V2) > Marked_a__isNatIList(V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__U42(a__isNat(V1),V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__U31(tt,V) > Marked_a__isNatList(V) ; } { Marked_a__isNat(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; } { Marked_a__U11(tt,V1) > Marked_a__isNatList(V1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNat(X)) > Marked_a__isNat(X) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(U11(X1,X2)) > Marked_a__U11(mark(X1),X2) ; } { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_a__isNatList(X) ; } { Marked_mark(U21(X1,X2)) > Marked_a__U21(mark(X1),X2) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_a__U31(mark(X1),X2) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_a__U41(mark(X1),X2,X3) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2)) > Marked_a__U42(mark(X1),X2) ; } { Marked_mark(U42(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_a__isNatIList(X) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_a__U51(mark(X1),X2,X3) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_a__U52(mark(X1),X2) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) constraint: Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) constraint: Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__U31(tt,V) >= Marked_a__isNatList(V) constraint: Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and( a__isNatKind( V1), isNatIListKind( V2)), V1,V2) constraint: Marked_a__U11(tt,V1) >= Marked_a__isNatList(V1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNat(X)) >= Marked_a__isNat(X) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_a__U11(mark(X1),X2) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) constraint: Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) constraint: Marked_mark(U42(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) ; Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) ; Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__U31(tt,V) >= Marked_a__isNatList(V) ; Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNat(X)) >= Marked_a__isNat(X) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(U12(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) ; Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) ; Marked_mark(U42(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) ; Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_a__U52(tt,V2) > Marked_a__isNatList(V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__U52(a__isNat(V1),V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__isNatIList(V) > Marked_a__isNatIListKind(V) ; } { Marked_a__isNatIList(V) > Marked_a__U31(a__isNatIListKind(V),V) ; } { Marked_a__U42(tt,V2) > Marked_a__isNatIList(V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__U42(a__isNat(V1),V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__U31(tt,V) > Marked_a__isNatList(V) ; } { Marked_a__isNat(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNat(X)) > Marked_a__isNat(X) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(U12(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_a__isNatList(X) ; } { Marked_mark(U21(X1,X2)) > Marked_a__U21(mark(X1),X2) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_a__U31(mark(X1),X2) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_a__U41(mark(X1),X2,X3) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2)) > Marked_a__U42(mark(X1),X2) ; } { Marked_mark(U42(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_a__isNatIList(X) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_a__U51(mark(X1),X2,X3) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_a__U52(mark(X1),X2) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) constraint: Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) constraint: Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__U31(tt,V) >= Marked_a__isNatList(V) constraint: Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and( a__isNatKind( V1), isNatIListKind( V2)), V1,V2) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNat(X)) >= Marked_a__isNat(X) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(U12(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) constraint: Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) constraint: Marked_mark(U42(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) ; Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) ; Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) ; Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__U31(tt,V) >= Marked_a__isNatList(V) ; Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNat(X)) >= Marked_a__isNat(X) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) ; Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) ; Marked_mark(U42(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) ; Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_a__U52(tt,V2) > Marked_a__isNatList(V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__U52(a__isNat(V1),V2) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__isNatIList(V) > Marked_a__isNatIListKind(V) ; } { Marked_a__isNatIList(V) > Marked_a__U31(a__isNatIListKind(V),V) ; } { Marked_a__U42(tt,V2) > Marked_a__isNatIList(V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__U42(a__isNat(V1),V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__U31(tt,V) > Marked_a__isNatList(V) ; } { Marked_a__isNat(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__isNatList(cons(V1,V2)) > Marked_a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNat(X)) > Marked_a__isNat(X) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(isNatList(X)) > Marked_a__isNatList(X) ; } { Marked_mark(U21(X1,X2)) > Marked_a__U21(mark(X1),X2) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_a__U31(mark(X1),X2) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_a__U41(mark(X1),X2,X3) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2)) > Marked_a__U42(mark(X1),X2) ; } { Marked_mark(U42(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_a__isNatIList(X) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_a__U51(mark(X1),X2,X3) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_a__U52(mark(X1),X2) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_a__U52(tt,V2) >= Marked_a__isNatList(V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__U52(a__isNat(V1),V2) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) constraint: Marked_a__isNatIList(V) >= Marked_a__U31(a__isNatIListKind(V),V) constraint: Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__U31(tt,V) >= Marked_a__isNatList(V) constraint: Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: Marked_a__isNatList(cons(V1,V2)) >= Marked_a__U51(a__and( a__isNatKind( V1), isNatIListKind( V2)), V1,V2) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNat(X)) >= Marked_a__isNat(X) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(isNatList(X)) >= Marked_a__isNatList(X) constraint: Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_a__U31(mark(X1),X2) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) constraint: Marked_mark(U42(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_a__U52(mark(X1),X2) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) ; Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) ; Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNat(X)) >= Marked_a__isNat(X) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) ; Marked_mark(U42(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) ; Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__isNatIList(V) > Marked_a__isNatIListKind(V) ; } { Marked_a__U42(tt,V2) > Marked_a__isNatIList(V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__U42(a__isNat(V1),V2) ; } { Marked_a__U41(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNat(X)) > Marked_a__isNat(X) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(U21(X1,X2)) > Marked_a__U21(mark(X1),X2) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_a__U41(mark(X1),X2,X3) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U42(X1,X2)) > Marked_a__U42(mark(X1),X2) ; } { Marked_mark(U42(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_a__isNatIList(X) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_a__U51(mark(X1),X2,X3) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__isNatIList(V) >= Marked_a__isNatIListKind(V) constraint: Marked_a__U42(tt,V2) >= Marked_a__isNatIList(V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__U42(a__isNat(V1),V2) constraint: Marked_a__U41(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNat(X)) >= Marked_a__isNat(X) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_a__U41(mark(X1),X2,X3) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U42(X1,X2)) >= Marked_a__U42(mark(X1),X2) constraint: Marked_mark(U42(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_a__isNatIList(X) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNat(X)) >= Marked_a__isNat(X) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U31(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X)) >= Marked_mark(X) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNat(X)) > Marked_a__isNat(X) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(U21(X1,X2)) > Marked_a__U21(mark(X1),X2) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U31(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X)) > Marked_mark(X) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_a__U51(mark(X1),X2,X3) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNat(X)) >= Marked_a__isNat(X) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X)) >= Marked_mark(X) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNat(X)) >= Marked_a__isNat(X) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U32(X)) >= Marked_mark(X) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNat(X)) > Marked_a__isNat(X) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(U21(X1,X2)) > Marked_a__U21(mark(X1),X2) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U32(X)) > Marked_mark(X) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_a__U51(mark(X1),X2,X3) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNat(X)) >= Marked_a__isNat(X) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U32(X)) >= Marked_mark(X) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNat(X)) >= Marked_a__isNat(X) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U52(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_a__U51(tt,V1,V2) > Marked_a__isNat(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNat(X)) > Marked_a__isNat(X) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(U21(X1,X2)) > Marked_a__U21(mark(X1),X2) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_a__U51(mark(X1),X2,X3) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U52(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_a__U51(tt,V1,V2) >= Marked_a__isNat(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNat(X)) >= Marked_a__isNat(X) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_a__U51(mark(X1),X2,X3) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U52(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNat(X)) >= Marked_a__isNat(X) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_a__isNat(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNat(X)) > Marked_a__isNat(X) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(U21(X1,X2)) > Marked_a__U21(mark(X1),X2) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_a__isNat(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNat(X)) >= Marked_a__isNat(X) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(U21(X1,X2)) >= Marked_a__U21(mark(X1),X2) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 2 components: { --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) ; Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) ; } + Disjunctions:{ { Marked_a__isNat(s(V1)) > Marked_a__U21(a__isNatKind(V1),V1) ; } { Marked_a__U21(tt,V1) > Marked_a__isNat(V1) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNat(s(V1)) >= Marked_a__U21(a__isNatKind(V1),V1) constraint: Marked_a__U21(tt,V1) >= Marked_a__isNat(V1) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatKind(length(V1)) > Marked_a__isNatIListKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__isNatKind(V1) ; } { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(isNatKind(X)) > Marked_a__isNatKind(X) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatKind(length(V1)) >= Marked_a__isNatIListKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__isNatKind(V1) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(isNatKind(X)) >= Marked_a__isNatKind(X) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 2 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; Marked_a__and(tt,X) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) ; Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_a__isNatIListKind(cons(V1,V2)) > Marked_a__and(a__isNatKind(V1), isNatIListKind(V2)) ; } { Marked_a__and(tt,X) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(isNatIListKind(X)) > Marked_a__isNatIListKind(X) ; } { Marked_mark(and(X1,X2)) > Marked_a__and(mark(X1),X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatIListKind(cons(V1,V2)) >= Marked_a__and(a__isNatKind( V1), isNatIListKind(V2)) constraint: Marked_a__and(tt,X) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIListKind(X)) >= Marked_a__isNatIListKind(X) constraint: Marked_mark(and(X1,X2)) >= Marked_a__and(mark(X1),X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) ; } + Disjunctions:{ { Marked_a__isNatKind(s(V1)) > Marked_a__isNatKind(V1) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_a__isNatKind(s(V1)) >= Marked_a__isNatKind(V1) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U43(X)) >= Marked_mark(X) ; Marked_mark(U53(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } { Marked_mark(U53(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U43(X)) >= Marked_mark(X) constraint: Marked_mark(U53(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U43(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U43(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U43(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U22(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(U22(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__zeros >= cons(0,zeros) ; a__zeros >= zeros ; a__U12(tt) >= tt ; a__U12(X) >= U12(X) ; a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatList(nil) >= tt ; a__isNatList(X) >= isNatList(X) ; a__U11(tt,V1) >= a__U12(a__isNatList(V1)) ; a__U11(X1,X2) >= U11(X1,X2) ; a__U22(tt) >= tt ; a__U22(X) >= U22(X) ; a__isNat(0) >= tt ; a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) ; a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) ; a__isNat(X) >= isNat(X) ; a__U21(tt,V1) >= a__U22(a__isNat(V1)) ; a__U21(X1,X2) >= U21(X1,X2) ; a__U32(tt) >= tt ; a__U32(X) >= U32(X) ; a__U31(tt,V) >= a__U32(a__isNatList(V)) ; a__U31(X1,X2) >= U31(X1,X2) ; a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) ; a__U42(X1,X2) >= U42(X1,X2) ; a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) ; a__U41(X1,X2,X3) >= U41(X1,X2,X3) ; a__U43(tt) >= tt ; a__U43(X) >= U43(X) ; a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)),V1,V2) ; a__isNatIList(zeros) >= tt ; a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) ; a__isNatIList(X) >= isNatIList(X) ; a__U52(tt,V2) >= a__U53(a__isNatList(V2)) ; a__U52(X1,X2) >= U52(X1,X2) ; a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) ; a__U51(X1,X2,X3) >= U51(X1,X2,X3) ; a__U53(tt) >= tt ; a__U53(X) >= U53(X) ; a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) ; a__length(nil) >= 0 ; a__length(X) >= length(X) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(zeros) >= a__zeros ; mark(tt) >= tt ; mark(s(X)) >= s(mark(X)) ; mark(length(X)) >= a__length(mark(X)) ; mark(isNatIListKind(X)) >= a__isNatIListKind(X) ; mark(nil) >= nil ; mark(and(X1,X2)) >= a__and(mark(X1),X2) ; mark(isNat(X)) >= a__isNat(X) ; mark(isNatKind(X)) >= a__isNatKind(X) ; mark(U11(X1,X2)) >= a__U11(mark(X1),X2) ; mark(U12(X)) >= a__U12(mark(X)) ; mark(isNatList(X)) >= a__isNatList(X) ; mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ; mark(U22(X)) >= a__U22(mark(X)) ; mark(U31(X1,X2)) >= a__U31(mark(X1),X2) ; mark(U32(X)) >= a__U32(mark(X)) ; mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) ; mark(U42(X1,X2)) >= a__U42(mark(X1),X2) ; mark(U43(X)) >= a__U43(mark(X)) ; mark(isNatIList(X)) >= a__isNatIList(X) ; mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) ; mark(U52(X1,X2)) >= a__U52(mark(X1),X2) ; mark(U53(X)) >= a__U53(mark(X)) ; mark(U61(X1,X2)) >= a__U61(mark(X1),X2) ; a__U61(tt,L) >= s(a__length(mark(L))) ; a__U61(X1,X2) >= U61(X1,X2) ; a__and(tt,X) >= mark(X) ; a__and(X1,X2) >= and(X1,X2) ; a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1),isNatIListKind(V2)) ; a__isNatIListKind(zeros) >= tt ; a__isNatIListKind(nil) >= tt ; a__isNatIListKind(X) >= isNatIListKind(X) ; a__isNatKind(0) >= tt ; a__isNatKind(s(V1)) >= a__isNatKind(V1) ; a__isNatKind(length(V1)) >= a__isNatIListKind(V1) ; a__isNatKind(X) >= isNatKind(X) ; Marked_mark(U22(X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(U22(X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: a__zeros >= cons(0,zeros) constraint: a__zeros >= zeros constraint: a__U12(tt) >= tt constraint: a__U12(X) >= U12(X) constraint: a__isNatList(cons(V1,V2)) >= a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatList(nil) >= tt constraint: a__isNatList(X) >= isNatList(X) constraint: a__U11(tt,V1) >= a__U12(a__isNatList(V1)) constraint: a__U11(X1,X2) >= U11(X1,X2) constraint: a__U22(tt) >= tt constraint: a__U22(X) >= U22(X) constraint: a__isNat(0) >= tt constraint: a__isNat(s(V1)) >= a__U21(a__isNatKind(V1),V1) constraint: a__isNat(length(V1)) >= a__U11(a__isNatIListKind(V1),V1) constraint: a__isNat(X) >= isNat(X) constraint: a__U21(tt,V1) >= a__U22(a__isNat(V1)) constraint: a__U21(X1,X2) >= U21(X1,X2) constraint: a__U32(tt) >= tt constraint: a__U32(X) >= U32(X) constraint: a__U31(tt,V) >= a__U32(a__isNatList(V)) constraint: a__U31(X1,X2) >= U31(X1,X2) constraint: a__U42(tt,V2) >= a__U43(a__isNatIList(V2)) constraint: a__U42(X1,X2) >= U42(X1,X2) constraint: a__U41(tt,V1,V2) >= a__U42(a__isNat(V1),V2) constraint: a__U41(X1,X2,X3) >= U41(X1,X2,X3) constraint: a__U43(tt) >= tt constraint: a__U43(X) >= U43(X) constraint: a__isNatIList(cons(V1,V2)) >= a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1,V2) constraint: a__isNatIList(zeros) >= tt constraint: a__isNatIList(V) >= a__U31(a__isNatIListKind(V),V) constraint: a__isNatIList(X) >= isNatIList(X) constraint: a__U52(tt,V2) >= a__U53(a__isNatList(V2)) constraint: a__U52(X1,X2) >= U52(X1,X2) constraint: a__U51(tt,V1,V2) >= a__U52(a__isNat(V1),V2) constraint: a__U51(X1,X2,X3) >= U51(X1,X2,X3) constraint: a__U53(tt) >= tt constraint: a__U53(X) >= U53(X) constraint: a__length(cons(N,L)) >= a__U61(a__and(a__and(a__isNatList(L), isNatIListKind(L)), and(isNat(N),isNatKind(N))), L) constraint: a__length(nil) >= 0 constraint: a__length(X) >= length(X) constraint: mark(cons(X1,X2)) >= cons(mark(X1),X2) constraint: mark(0) >= 0 constraint: mark(zeros) >= a__zeros constraint: mark(tt) >= tt constraint: mark(s(X)) >= s(mark(X)) constraint: mark(length(X)) >= a__length(mark(X)) constraint: mark(isNatIListKind(X)) >= a__isNatIListKind(X) constraint: mark(nil) >= nil constraint: mark(and(X1,X2)) >= a__and(mark(X1),X2) constraint: mark(isNat(X)) >= a__isNat(X) constraint: mark(isNatKind(X)) >= a__isNatKind(X) constraint: mark(U11(X1,X2)) >= a__U11(mark(X1),X2) constraint: mark(U12(X)) >= a__U12(mark(X)) constraint: mark(isNatList(X)) >= a__isNatList(X) constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2) constraint: mark(U22(X)) >= a__U22(mark(X)) constraint: mark(U31(X1,X2)) >= a__U31(mark(X1),X2) constraint: mark(U32(X)) >= a__U32(mark(X)) constraint: mark(U41(X1,X2,X3)) >= a__U41(mark(X1),X2,X3) constraint: mark(U42(X1,X2)) >= a__U42(mark(X1),X2) constraint: mark(U43(X)) >= a__U43(mark(X)) constraint: mark(isNatIList(X)) >= a__isNatIList(X) constraint: mark(U51(X1,X2,X3)) >= a__U51(mark(X1),X2,X3) constraint: mark(U52(X1,X2)) >= a__U52(mark(X1),X2) constraint: mark(U53(X)) >= a__U53(mark(X)) constraint: mark(U61(X1,X2)) >= a__U61(mark(X1),X2) constraint: a__U61(tt,L) >= s(a__length(mark(L))) constraint: a__U61(X1,X2) >= U61(X1,X2) constraint: a__and(tt,X) >= mark(X) constraint: a__and(X1,X2) >= and(X1,X2) constraint: a__isNatIListKind(cons(V1,V2)) >= a__and(a__isNatKind(V1), isNatIListKind(V2)) constraint: a__isNatIListKind(zeros) >= tt constraint: a__isNatIListKind(nil) >= tt constraint: a__isNatIListKind(X) >= isNatIListKind(X) constraint: a__isNatKind(0) >= tt constraint: a__isNatKind(s(V1)) >= a__isNatKind(V1) constraint: a__isNatKind(length(V1)) >= a__isNatIListKind(V1) constraint: a__isNatKind(X) >= isNatKind(X) constraint: Marked_mark(U22(X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] a__zeros -> cons(0,zeros) [2] a__U11(tt,V1) -> a__U12(a__isNatList(V1)) [3] a__U12(tt) -> tt [4] a__U21(tt,V1) -> a__U22(a__isNat(V1)) [5] a__U22(tt) -> tt [6] a__U31(tt,V) -> a__U32(a__isNatList(V)) [7] a__U32(tt) -> tt [8] a__U41(tt,V1,V2) -> a__U42(a__isNat(V1),V2) [9] a__U42(tt,V2) -> a__U43(a__isNatIList(V2)) [10] a__U43(tt) -> tt [11] a__U51(tt,V1,V2) -> a__U52(a__isNat(V1),V2) [12] a__U52(tt,V2) -> a__U53(a__isNatList(V2)) [13] a__U53(tt) -> tt [14] a__U61(tt,L) -> s(a__length(mark(L))) [15] a__and(tt,X) -> mark(X) [16] a__isNat(0) -> tt [17] a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1),V1) [18] a__isNat(s(V1)) -> a__U21(a__isNatKind(V1),V1) [19] a__isNatIList(V) -> a__U31(a__isNatIListKind(V),V) [20] a__isNatIList(zeros) -> tt [21] a__isNatIList(cons(V1,V2)) -> a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2) [22] a__isNatIListKind(nil) -> tt [23] a__isNatIListKind(zeros) -> tt [24] a__isNatIListKind(cons(V1,V2)) -> a__and(a__isNatKind(V1),isNatIListKind(V2)) [25] a__isNatKind(0) -> tt [26] a__isNatKind(length(V1)) -> a__isNatIListKind(V1) [27] a__isNatKind(s(V1)) -> a__isNatKind(V1) [28] a__isNatList(nil) -> tt [29] a__isNatList(cons(V1,V2)) -> a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2) [30] a__length(nil) -> 0 [31] a__length(cons(N,L)) -> a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)), and(isNat(N),isNatKind(N))),L) [32] mark(zeros) -> a__zeros [33] mark(U11(X1,X2)) -> a__U11(mark(X1),X2) [34] mark(U12(X)) -> a__U12(mark(X)) [35] mark(isNatList(X)) -> a__isNatList(X) [36] mark(U21(X1,X2)) -> a__U21(mark(X1),X2) [37] mark(U22(X)) -> a__U22(mark(X)) [38] mark(isNat(X)) -> a__isNat(X) [39] mark(U31(X1,X2)) -> a__U31(mark(X1),X2) [40] mark(U32(X)) -> a__U32(mark(X)) [41] mark(U41(X1,X2,X3)) -> a__U41(mark(X1),X2,X3) [42] mark(U42(X1,X2)) -> a__U42(mark(X1),X2) [43] mark(U43(X)) -> a__U43(mark(X)) [44] mark(isNatIList(X)) -> a__isNatIList(X) [45] mark(U51(X1,X2,X3)) -> a__U51(mark(X1),X2,X3) [46] mark(U52(X1,X2)) -> a__U52(mark(X1),X2) [47] mark(U53(X)) -> a__U53(mark(X)) [48] mark(U61(X1,X2)) -> a__U61(mark(X1),X2) [49] mark(length(X)) -> a__length(mark(X)) [50] mark(and(X1,X2)) -> a__and(mark(X1),X2) [51] mark(isNatIListKind(X)) -> a__isNatIListKind(X) [52] mark(isNatKind(X)) -> a__isNatKind(X) [53] mark(cons(X1,X2)) -> cons(mark(X1),X2) [54] mark(0) -> 0 [55] mark(tt) -> tt [56] mark(s(X)) -> s(mark(X)) [57] mark(nil) -> nil [58] a__zeros -> zeros [59] a__U11(X1,X2) -> U11(X1,X2) [60] a__U12(X) -> U12(X) [61] a__isNatList(X) -> isNatList(X) [62] a__U21(X1,X2) -> U21(X1,X2) [63] a__U22(X) -> U22(X) [64] a__isNat(X) -> isNat(X) [65] a__U31(X1,X2) -> U31(X1,X2) [66] a__U32(X) -> U32(X) [67] a__U41(X1,X2,X3) -> U41(X1,X2,X3) [68] a__U42(X1,X2) -> U42(X1,X2) [69] a__U43(X) -> U43(X) [70] a__isNatIList(X) -> isNatIList(X) [71] a__U51(X1,X2,X3) -> U51(X1,X2,X3) [72] a__U52(X1,X2) -> U52(X1,X2) [73] a__U53(X) -> U53(X) [74] a__U61(X1,X2) -> U61(X1,X2) [75] a__length(X) -> length(X) [76] a__and(X1,X2) -> and(X1,X2) [77] a__isNatIListKind(X) -> isNatIListKind(X) [78] a__isNatKind(X) -> isNatKind(X) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 3*X1 + 2*X0; [ Marked_a__U21 ] (X0,X1) = 0; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 0; [ Marked_a__isNatKind ] (X0) = 0; [ a__U22 ] (X0) = 1*X0; [ U41 ] (X0,X1,X2) = 3*X0; [ a__and ] (X0,X1) = 2*X1 + 2*X0; [ Marked_a__isNatIList ] (X0) = 0; [ a__U12 ] (X0) = 2*X0; [ U21 ] (X0,X1) = 3*X0; [ s ] (X0) = 1*X0; [ Marked_a__U61 ] (X0,X1) = 3*X1; [ a__U31 ] (X0,X1) = 3*X0; [ U51 ] (X0,X1,X2) = 1*X0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 2*X0; [ a__U51 ] (X0,X1,X2) = 1*X0; [ Marked_a__and ] (X0,X1) = 3*X1; [ a__U21 ] (X0,X1) = 3*X0; [ U43 ] (X0) = 2*X0; [ length ] (X0) = 1*X0 + 3; [ Marked_a__U42 ] (X0,X1) = 0; [ a__U11 ] (X0,X1) = 1*X0; [ U31 ] (X0,X1) = 3*X0; [ mark ] (X0) = 2*X0; [ Marked_a__U52 ] (X0,X1) = 0; [ a__U41 ] (X0,X1,X2) = 3*X0; [ U53 ] (X0) = 1*X0; [ and ] (X0,X1) = 1*X1 + 2*X0; [ Marked_a__isNat ] (X0) = 0; [ 0 ] () = 0; [ Marked_a__isNatList ] (X0) = 0; [ U11 ] (X0,X1) = 1*X0; [ a__U52 ] (X0,X1) = 1*X0; [ Marked_a__isNatIListKind ] (X0) = 0; [ a__isNat ] (X0) = 0; [ U42 ] (X0,X1) = 1*X0; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 0; [ Marked_mark ] (X0) = 3*X0; [ U22 ] (X0) = 1*X0; [ a__length ] (X0) = 1*X0 + 3; [ a__U42 ] (X0,X1) = 1*X0; [ U52 ] (X0,X1) = 1*X0; [ nil ] () = 0; [ Marked_a__U31 ] (X0,X1) = 0; [ a__zeros ] () = 0; [ Marked_a__U11 ] (X0,X1) = 0; [ isNatList ] (X0) = 0; [ a__U53 ] (X0) = 1*X0; [ Marked_a__length ] (X0) = 1*X0; [ a__U32 ] (X0) = 1*X0; [ isNatIList ] (X0) = 0; [ a__isNatKind ] (X0) = 0; [ Marked_a__U41 ] (X0,X1,X2) = 0; [ tt ] () = 0; [ U32 ] (X0) = 1*X0; [ a__U61 ] (X0,X1) = 3*X1 + 1*X0 + 3; [ Marked_a__U51 ] (X0,X1,X2) = 0; [ a__U43 ] (X0) = 2*X0; [ U61 ] (X0,X1) = 3*X1 + 1*X0 + 3; [ isNat ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 3*X1; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 3*X0 + 2; [ a__U22 ] (X0) = 2; [ U41 ] (X0,X1,X2) = 0; [ a__and ] (X0,X1) = 2*X1 + 1*X0; [ a__U12 ] (X0) = 2; [ U21 ] (X0,X1) = 1; [ s ] (X0) = 0; [ Marked_a__U61 ] (X0,X1) = 1*X1 + 2*X0; [ a__U31 ] (X0,X1) = 2*X1 + 2; [ U51 ] (X0,X1,X2) = 1*X2; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 1; [ a__U51 ] (X0,X1,X2) = 1*X2; [ a__U21 ] (X0,X1) = 2; [ U43 ] (X0) = 0; [ length ] (X0) = 0; [ a__U11 ] (X0,X1) = 1*X0; [ U31 ] (X0,X1) = 2*X1 + 2; [ mark ] (X0) = 1*X0 + 2; [ a__U41 ] (X0,X1,X2) = 2; [ U53 ] (X0) = 1*X0; [ and ] (X0,X1) = 2*X1 + 1*X0; [ 0 ] () = 0; [ U11 ] (X0,X1) = 1*X0; [ a__U52 ] (X0,X1) = 1*X1; [ a__isNat ] (X0) = 2; [ U42 ] (X0,X1) = 2; [ a__isNatIListKind ] (X0) = 2; [ a__isNatList ] (X0) = 1*X0; [ U22 ] (X0) = 2; [ a__length ] (X0) = 0; [ a__U42 ] (X0,X1) = 2; [ U52 ] (X0,X1) = 1*X1; [ nil ] () = 2; [ a__zeros ] () = 0; [ isNatList ] (X0) = 1*X0; [ a__U53 ] (X0) = 1*X0; [ Marked_a__length ] (X0) = 1*X0; [ a__U32 ] (X0) = 1*X0; [ isNatIList ] (X0) = 3*X0; [ a__isNatKind ] (X0) = 2; [ tt ] () = 2; [ U32 ] (X0) = 1*X0; [ a__U61 ] (X0,X1) = 0; [ a__U43 ] (X0) = 2; [ U61 ] (X0,X1) = 0; [ isNat ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 2*X1 + 3*X0; [ Marked_a__U21 ] (X0,X1) = 1*X1; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 2*X0; [ Marked_a__isNatKind ] (X0) = 0; [ a__U22 ] (X0) = 1*X0; [ U41 ] (X0,X1,X2) = 2*X2 + 2*X1 + 2*X0; [ a__and ] (X0,X1) = 2*X1 + 2*X0; [ Marked_a__isNatIList ] (X0) = 2*X0; [ a__U12 ] (X0) = 2*X0; [ U21 ] (X0,X1) = 2*X1 + 2*X0; [ s ] (X0) = 1*X0; [ a__U31 ] (X0,X1) = 2*X1 + 1*X0; [ U51 ] (X0,X1,X2) = 1*X2 + 2*X1 + 1*X0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 2*X0; [ a__U51 ] (X0,X1,X2) = 2*X2 + 3*X1 + 1*X0; [ Marked_a__and ] (X0,X1) = 1*X1; [ a__U21 ] (X0,X1) = 3*X1 + 2*X0; [ U43 ] (X0) = 1*X0; [ length ] (X0) = 1*X0 + 1; [ Marked_a__U42 ] (X0,X1) = 2*X1; [ a__U11 ] (X0,X1) = 2*X1 + 2*X0; [ U31 ] (X0,X1) = 1*X1 + 1*X0; [ mark ] (X0) = 2*X0; [ Marked_a__U52 ] (X0,X1) = 1*X1; [ a__U41 ] (X0,X1,X2) = 2*X2 + 3*X1 + 2*X0; [ U53 ] (X0) = 1*X0; [ and ] (X0,X1) = 1*X1 + 2*X0; [ Marked_a__isNat ] (X0) = 1*X0; [ 0 ] () = 0; [ Marked_a__isNatList ] (X0) = 1*X0; [ U11 ] (X0,X1) = 2*X1 + 2*X0; [ a__U52 ] (X0,X1) = 2*X1 + 1*X0; [ Marked_a__isNatIListKind ] (X0) = 0; [ a__isNat ] (X0) = 3*X0; [ U42 ] (X0,X1) = 2*X1 + 1*X0; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 1*X0; [ Marked_mark ] (X0) = 1*X0; [ U22 ] (X0) = 1*X0; [ a__length ] (X0) = 1*X0 + 2; [ a__U42 ] (X0,X1) = 2*X1 + 1*X0; [ U52 ] (X0,X1) = 1*X1 + 1*X0; [ nil ] () = 0; [ Marked_a__U31 ] (X0,X1) = 1*X1; [ a__zeros ] () = 0; [ Marked_a__U11 ] (X0,X1) = 1*X1; [ isNatList ] (X0) = 1*X0; [ a__U53 ] (X0) = 1*X0; [ a__U32 ] (X0) = 2*X0; [ isNatIList ] (X0) = 2*X0; [ a__isNatKind ] (X0) = 0; [ Marked_a__U41 ] (X0,X1,X2) = 2*X2 + 2*X1; [ tt ] () = 0; [ U32 ] (X0) = 2*X0; [ a__U61 ] (X0,X1) = 2*X1 + 2; [ Marked_a__U51 ] (X0,X1,X2) = 1*X2 + 1*X1; [ a__U43 ] (X0) = 1*X0; [ U61 ] (X0,X1) = 2*X1 + 1; [ isNat ] (X0) = 2*X0; removing < Marked_a__isNat(length(V1)),Marked_a__isNatIListKind(V1)> [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 2*X0 + 1; [ Marked_a__U21 ] (X0,X1) = 0; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 0; [ Marked_a__isNatKind ] (X0) = 0; [ a__U22 ] (X0) = 2*X0; [ U41 ] (X0,X1,X2) = 1*X0; [ a__and ] (X0,X1) = 2*X1 + 1*X0; [ Marked_a__isNatIList ] (X0) = 0; [ a__U12 ] (X0) = 2*X0; [ U21 ] (X0,X1) = 2*X0; [ s ] (X0) = 1*X0; [ a__U31 ] (X0,X1) = 2*X0; [ U51 ] (X0,X1,X2) = 1*X0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 2; [ U12 ] (X0) = 2*X0; [ a__U51 ] (X0,X1,X2) = 1*X0; [ Marked_a__and ] (X0,X1) = 1*X1; [ a__U21 ] (X0,X1) = 2*X0; [ U43 ] (X0) = 2*X0; [ length ] (X0) = 0; [ Marked_a__U42 ] (X0,X1) = 0; [ a__U11 ] (X0,X1) = 2*X0; [ U31 ] (X0,X1) = 2*X0; [ mark ] (X0) = 2*X0; [ Marked_a__U52 ] (X0,X1) = 0; [ a__U41 ] (X0,X1,X2) = 1*X0; [ U53 ] (X0) = 2*X0; [ and ] (X0,X1) = 1*X1 + 1*X0; [ Marked_a__isNat ] (X0) = 0; [ 0 ] () = 0; [ Marked_a__isNatList ] (X0) = 0; [ U11 ] (X0,X1) = 2*X0; [ a__U52 ] (X0,X1) = 2*X0; [ Marked_a__isNatIListKind ] (X0) = 0; [ a__isNat ] (X0) = 0; [ U42 ] (X0,X1) = 1*X0; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 0; [ Marked_mark ] (X0) = 1*X0; [ U22 ] (X0) = 2*X0; [ a__length ] (X0) = 0; [ a__U42 ] (X0,X1) = 1*X0; [ U52 ] (X0,X1) = 2*X0; [ nil ] () = 0; [ Marked_a__U31 ] (X0,X1) = 0; [ a__zeros ] () = 2; [ Marked_a__U11 ] (X0,X1) = 0; [ isNatList ] (X0) = 0; [ a__U53 ] (X0) = 2*X0; [ a__U32 ] (X0) = 2*X0; [ isNatIList ] (X0) = 0; [ a__isNatKind ] (X0) = 0; [ Marked_a__U41 ] (X0,X1,X2) = 0; [ tt ] () = 0; [ U32 ] (X0) = 2*X0; [ a__U61 ] (X0,X1) = 0; [ Marked_a__U51 ] (X0,X1,X2) = 0; [ a__U43 ] (X0) = 2*X0; [ U61 ] (X0,X1) = 0; [ isNat ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 1*X1 + 1; [ Marked_a__U21 ] (X0,X1) = 0; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 2*X0; [ Marked_a__isNatKind ] (X0) = 0; [ a__U22 ] (X0) = 1*X0; [ U41 ] (X0,X1,X2) = 2*X2 + 1*X0; [ a__and ] (X0,X1) = 2*X1 + 2*X0; [ Marked_a__isNatIList ] (X0) = 2*X0; [ a__U12 ] (X0) = 2*X0; [ U21 ] (X0,X1) = 2*X0; [ s ] (X0) = 2*X0; [ a__U31 ] (X0,X1) = 1*X0; [ U51 ] (X0,X1,X2) = 2*X0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 2; [ U12 ] (X0) = 2*X0; [ a__U51 ] (X0,X1,X2) = 2*X0; [ Marked_a__and ] (X0,X1) = 2*X1; [ a__U21 ] (X0,X1) = 2*X0; [ U43 ] (X0) = 1*X0; [ length ] (X0) = 0; [ Marked_a__U42 ] (X0,X1) = 2*X1; [ a__U11 ] (X0,X1) = 1*X0; [ U31 ] (X0,X1) = 1*X0; [ mark ] (X0) = 2*X0; [ Marked_a__U52 ] (X0,X1) = 0; [ a__U41 ] (X0,X1,X2) = 2*X2 + 1*X0; [ U53 ] (X0) = 2*X0; [ and ] (X0,X1) = 1*X1 + 2*X0; [ Marked_a__isNat ] (X0) = 0; [ 0 ] () = 0; [ Marked_a__isNatList ] (X0) = 0; [ U11 ] (X0,X1) = 1*X0; [ a__U52 ] (X0,X1) = 2*X0; [ Marked_a__isNatIListKind ] (X0) = 0; [ a__isNat ] (X0) = 0; [ U42 ] (X0,X1) = 2*X1 + 2*X0; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 0; [ Marked_mark ] (X0) = 2*X0; [ U22 ] (X0) = 1*X0; [ a__length ] (X0) = 0; [ a__U42 ] (X0,X1) = 2*X1 + 2*X0; [ U52 ] (X0,X1) = 2*X0; [ nil ] () = 0; [ Marked_a__U31 ] (X0,X1) = 0; [ a__zeros ] () = 3; [ Marked_a__U11 ] (X0,X1) = 0; [ isNatList ] (X0) = 0; [ a__U53 ] (X0) = 2*X0; [ a__U32 ] (X0) = 1*X0; [ isNatIList ] (X0) = 2*X0; [ a__isNatKind ] (X0) = 0; [ Marked_a__U41 ] (X0,X1,X2) = 2*X2; [ tt ] () = 0; [ U32 ] (X0) = 1*X0; [ a__U61 ] (X0,X1) = 0; [ Marked_a__U51 ] (X0,X1,X2) = 0; [ a__U43 ] (X0) = 1*X0; [ U61 ] (X0,X1) = 0; [ isNat ] (X0) = 0; removing < Marked_a__isNatIList(cons(V1,V2)),Marked_a__isNatKind(V1)> [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 1*X1 + 1*X0; [ Marked_a__U21 ] (X0,X1) = 0; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 2*X0; [ Marked_a__isNatKind ] (X0) = 0; [ a__U22 ] (X0) = 1*X0; [ U41 ] (X0,X1,X2) = 2*X2 + 1*X1 + 2*X0; [ a__and ] (X0,X1) = 2*X1 + 2*X0; [ Marked_a__isNatIList ] (X0) = 0; [ a__U12 ] (X0) = 1*X0; [ U21 ] (X0,X1) = 1*X1 + 2*X0; [ s ] (X0) = 1*X0; [ a__U31 ] (X0,X1) = 2*X1 + 2*X0; [ U51 ] (X0,X1,X2) = 2*X2 + 1*X1 + 2*X0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 1*X0; [ a__U51 ] (X0,X1,X2) = 2*X2 + 1*X1 + 2*X0; [ Marked_a__and ] (X0,X1) = 2*X1; [ a__U21 ] (X0,X1) = 1*X1 + 2*X0; [ U43 ] (X0) = 1*X0; [ length ] (X0) = 2*X0 + 1; [ Marked_a__U42 ] (X0,X1) = 0; [ a__U11 ] (X0,X1) = 2*X1 + 2*X0 + 1; [ U31 ] (X0,X1) = 2*X1 + 2*X0; [ mark ] (X0) = 1*X0; [ Marked_a__U52 ] (X0,X1) = 0; [ a__U41 ] (X0,X1,X2) = 2*X2 + 1*X1 + 2*X0; [ U53 ] (X0) = 1*X0; [ and ] (X0,X1) = 2*X1 + 2*X0; [ Marked_a__isNat ] (X0) = 0; [ 0 ] () = 0; [ Marked_a__isNatList ] (X0) = 0; [ U11 ] (X0,X1) = 2*X1 + 2*X0 + 1; [ a__U52 ] (X0,X1) = 2*X1 + 1*X0; [ Marked_a__isNatIListKind ] (X0) = 0; [ a__isNat ] (X0) = 1*X0; [ U42 ] (X0,X1) = 2*X1 + 1*X0; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 2*X0; [ Marked_mark ] (X0) = 1*X0; [ U22 ] (X0) = 1*X0; [ a__length ] (X0) = 2*X0 + 1; [ a__U42 ] (X0,X1) = 2*X1 + 1*X0; [ U52 ] (X0,X1) = 2*X1 + 1*X0; [ nil ] () = 0; [ Marked_a__U31 ] (X0,X1) = 0; [ a__zeros ] () = 0; [ Marked_a__U11 ] (X0,X1) = 2*X1 + 1; [ isNatList ] (X0) = 2*X0; [ a__U53 ] (X0) = 1*X0; [ a__U32 ] (X0) = 1*X0; [ isNatIList ] (X0) = 2*X0; [ a__isNatKind ] (X0) = 0; [ Marked_a__U41 ] (X0,X1,X2) = 2*X2; [ tt ] () = 0; [ U32 ] (X0) = 1*X0; [ a__U61 ] (X0,X1) = 2*X1 + 1; [ Marked_a__U51 ] (X0,X1,X2) = 0; [ a__U43 ] (X0) = 1*X0; [ U61 ] (X0,X1) = 2*X1 + 1; [ isNat ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 3*X1 + 1*X0; [ Marked_a__U21 ] (X0,X1) = 0; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 2*X0; [ Marked_a__isNatKind ] (X0) = 0; [ a__U22 ] (X0) = 1*X0; [ U41 ] (X0,X1,X2) = 2*X2 + 1*X1 + 2*X0; [ a__and ] (X0,X1) = 2*X1 + 2*X0; [ Marked_a__isNatIList ] (X0) = 0; [ a__U12 ] (X0) = 1*X0 + 1; [ U21 ] (X0,X1) = 1*X1 + 2*X0; [ s ] (X0) = 1*X0; [ a__U31 ] (X0,X1) = 2*X1 + 1*X0; [ U51 ] (X0,X1,X2) = 2*X2 + 1*X1 + 1*X0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 1*X0 + 1; [ a__U51 ] (X0,X1,X2) = 2*X2 + 1*X1 + 1*X0; [ Marked_a__and ] (X0,X1) = 2*X1; [ a__U21 ] (X0,X1) = 1*X1 + 2*X0; [ U43 ] (X0) = 1*X0; [ length ] (X0) = 1*X0 + 2; [ Marked_a__U42 ] (X0,X1) = 2*X1; [ a__U11 ] (X0,X1) = 1*X1 + 2; [ U31 ] (X0,X1) = 2*X1 + 1*X0; [ mark ] (X0) = 1*X0; [ Marked_a__U52 ] (X0,X1) = 0; [ a__U41 ] (X0,X1,X2) = 2*X2 + 1*X1 + 2*X0; [ U53 ] (X0) = 2*X0; [ and ] (X0,X1) = 2*X1 + 2*X0; [ Marked_a__isNat ] (X0) = 0; [ 0 ] () = 0; [ Marked_a__isNatList ] (X0) = 0; [ U11 ] (X0,X1) = 1*X1 + 2; [ a__U52 ] (X0,X1) = 2*X1 + 1*X0; [ Marked_a__isNatIListKind ] (X0) = 0; [ a__isNat ] (X0) = 1*X0; [ U42 ] (X0,X1) = 2*X1 + 1*X0; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ U22 ] (X0) = 1*X0; [ a__length ] (X0) = 1*X0 + 2; [ a__U42 ] (X0,X1) = 2*X1 + 1*X0; [ U52 ] (X0,X1) = 2*X1 + 1*X0; [ nil ] () = 0; [ Marked_a__U31 ] (X0,X1) = 0; [ a__zeros ] () = 0; [ isNatList ] (X0) = 1*X0; [ a__U53 ] (X0) = 2*X0; [ a__U32 ] (X0) = 2*X0; [ isNatIList ] (X0) = 2*X0; [ a__isNatKind ] (X0) = 0; [ Marked_a__U41 ] (X0,X1,X2) = 3*X2; [ tt ] () = 0; [ U32 ] (X0) = 2*X0; [ a__U61 ] (X0,X1) = 1*X1 + 2; [ Marked_a__U51 ] (X0,X1,X2) = 0; [ a__U43 ] (X0) = 1*X0; [ U61 ] (X0,X1) = 1*X1 + 2; [ isNat ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 1*X1 + 1; [ Marked_a__U21 ] (X0,X1) = 1; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 1*X0; [ Marked_a__isNatKind ] (X0) = 1; [ a__U22 ] (X0) = 2*X0; [ U41 ] (X0,X1,X2) = 1*X2 + 1*X0; [ a__and ] (X0,X1) = 2*X1 + 1*X0; [ Marked_a__isNatIList ] (X0) = 2*X0 + 1; [ a__U12 ] (X0) = 0; [ U21 ] (X0,X1) = 2*X0; [ s ] (X0) = 1*X0; [ a__U31 ] (X0,X1) = 1*X1 + 2*X0; [ U51 ] (X0,X1,X2) = 1*X2 + 1*X0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 1; [ U12 ] (X0) = 0; [ a__U51 ] (X0,X1,X2) = 1*X2 + 1*X0; [ Marked_a__and ] (X0,X1) = 2*X1 + 1; [ a__U21 ] (X0,X1) = 2*X0; [ U43 ] (X0) = 1*X0; [ length ] (X0) = 0; [ Marked_a__U42 ] (X0,X1) = 2*X1 + 1; [ a__U11 ] (X0,X1) = 0; [ U31 ] (X0,X1) = 1*X1 + 2*X0; [ mark ] (X0) = 2*X0; [ Marked_a__U52 ] (X0,X1) = 2*X1; [ a__U41 ] (X0,X1,X2) = 1*X2 + 1*X0; [ U53 ] (X0) = 1*X0; [ and ] (X0,X1) = 2*X1 + 1*X0; [ Marked_a__isNat ] (X0) = 1; [ 0 ] () = 0; [ Marked_a__isNatList ] (X0) = 2*X0; [ U11 ] (X0,X1) = 0; [ a__U52 ] (X0,X1) = 1*X1 + 2*X0; [ Marked_a__isNatIListKind ] (X0) = 1; [ a__isNat ] (X0) = 0; [ U42 ] (X0,X1) = 1*X1 + 1*X0; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0 + 1; [ U22 ] (X0) = 2*X0; [ a__length ] (X0) = 0; [ a__U42 ] (X0,X1) = 1*X1 + 1*X0; [ U52 ] (X0,X1) = 1*X1 + 2*X0; [ nil ] () = 0; [ Marked_a__U31 ] (X0,X1) = 2*X1 + 1; [ a__zeros ] () = 2; [ isNatList ] (X0) = 1*X0; [ a__U53 ] (X0) = 1*X0; [ a__U32 ] (X0) = 1*X0; [ isNatIList ] (X0) = 1*X0; [ a__isNatKind ] (X0) = 0; [ Marked_a__U41 ] (X0,X1,X2) = 2*X2 + 1; [ tt ] () = 0; [ U32 ] (X0) = 1*X0; [ a__U61 ] (X0,X1) = 0; [ Marked_a__U51 ] (X0,X1,X2) = 2*X2 + 1; [ a__U43 ] (X0) = 1*X0; [ U61 ] (X0,X1) = 0; [ isNat ] (X0) = 0; removing < Marked_a__isNatList(cons(V1,V2)),Marked_a__and(a__isNatKind(V1), isNatIListKind(V2))>< Marked_mark(U52(X1,X2)),Marked_a__U52(mark(X1),X2)> [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 0; [ Marked_a__U21 ] (X0,X1) = 0; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 2; [ Marked_a__isNatKind ] (X0) = 0; [ a__U22 ] (X0) = 2*X0; [ U41 ] (X0,X1,X2) = 2*X0 + 1; [ a__and ] (X0,X1) = 2*X1 + 2*X0; [ Marked_a__isNatIList ] (X0) = 0; [ a__U12 ] (X0) = 0; [ U21 ] (X0,X1) = 2*X0; [ s ] (X0) = 2*X0; [ a__U31 ] (X0,X1) = 2*X0; [ U51 ] (X0,X1,X2) = 2*X0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 0; [ a__U51 ] (X0,X1,X2) = 2*X0; [ Marked_a__and ] (X0,X1) = 2*X1; [ a__U21 ] (X0,X1) = 2*X0; [ U43 ] (X0) = 1*X0; [ length ] (X0) = 0; [ Marked_a__U42 ] (X0,X1) = 0; [ a__U11 ] (X0,X1) = 0; [ U31 ] (X0,X1) = 2*X0; [ mark ] (X0) = 2*X0; [ a__U41 ] (X0,X1,X2) = 2*X0 + 2; [ U53 ] (X0) = 2*X0; [ and ] (X0,X1) = 2*X1 + 2*X0; [ Marked_a__isNat ] (X0) = 0; [ 0 ] () = 0; [ U11 ] (X0,X1) = 0; [ a__U52 ] (X0,X1) = 2*X0; [ Marked_a__isNatIListKind ] (X0) = 0; [ a__isNat ] (X0) = 0; [ U42 ] (X0,X1) = 2*X0 + 1; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 0; [ Marked_mark ] (X0) = 2*X0; [ U22 ] (X0) = 2*X0; [ a__length ] (X0) = 0; [ a__U42 ] (X0,X1) = 2*X0 + 2; [ U52 ] (X0,X1) = 2*X0; [ nil ] () = 0; [ a__zeros ] () = 0; [ isNatList ] (X0) = 0; [ a__U53 ] (X0) = 2*X0; [ a__U32 ] (X0) = 1*X0; [ isNatIList ] (X0) = 1; [ a__isNatKind ] (X0) = 0; [ Marked_a__U41 ] (X0,X1,X2) = 0; [ tt ] () = 0; [ U32 ] (X0) = 1*X0; [ a__U61 ] (X0,X1) = 0; [ Marked_a__U51 ] (X0,X1,X2) = 0; [ a__U43 ] (X0) = 1*X0; [ U61 ] (X0,X1) = 0; [ isNat ] (X0) = 0; removing < Marked_mark(U41(X1,X2,X3)),Marked_mark(X1)>< Marked_mark(U42(X1,X2)),Marked_mark(X1)> [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 3*X1; [ Marked_a__U21 ] (X0,X1) = 0; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 3*X0 + 2; [ Marked_a__isNatKind ] (X0) = 0; [ a__U22 ] (X0) = 1*X0; [ U41 ] (X0,X1,X2) = 3*X2 + 2; [ a__and ] (X0,X1) = 1*X1 + 1*X0; [ a__U12 ] (X0) = 0; [ U21 ] (X0,X1) = 2*X0; [ s ] (X0) = 1*X0; [ a__U31 ] (X0,X1) = 3*X1 + 2*X0 + 2; [ U51 ] (X0,X1,X2) = 3*X2 + 1*X0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 0; [ a__U51 ] (X0,X1,X2) = 3*X2 + 1*X0; [ Marked_a__and ] (X0,X1) = 2*X1; [ a__U21 ] (X0,X1) = 2*X0; [ U43 ] (X0) = 1*X0; [ length ] (X0) = 0; [ a__U11 ] (X0,X1) = 0; [ U31 ] (X0,X1) = 3*X1 + 2*X0 + 2; [ mark ] (X0) = 1*X0; [ a__U41 ] (X0,X1,X2) = 3*X2 + 2; [ U53 ] (X0) = 1*X0; [ and ] (X0,X1) = 1*X1 + 1*X0; [ Marked_a__isNat ] (X0) = 0; [ 0 ] () = 0; [ U11 ] (X0,X1) = 0; [ a__U52 ] (X0,X1) = 3*X1 + 2*X0; [ Marked_a__isNatIListKind ] (X0) = 0; [ a__isNat ] (X0) = 0; [ U42 ] (X0,X1) = 3*X1 + 2; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 3*X0; [ Marked_mark ] (X0) = 2*X0; [ U22 ] (X0) = 1*X0; [ a__length ] (X0) = 0; [ a__U42 ] (X0,X1) = 3*X1 + 2; [ U52 ] (X0,X1) = 3*X1 + 2*X0; [ nil ] () = 0; [ a__zeros ] () = 0; [ isNatList ] (X0) = 3*X0; [ a__U53 ] (X0) = 1*X0; [ a__U32 ] (X0) = 1*X0; [ isNatIList ] (X0) = 3*X0 + 2; [ a__isNatKind ] (X0) = 0; [ tt ] () = 0; [ U32 ] (X0) = 1*X0; [ a__U61 ] (X0,X1) = 0; [ Marked_a__U51 ] (X0,X1,X2) = 3*X2; [ a__U43 ] (X0) = 1*X0; [ U61 ] (X0,X1) = 0; [ isNat ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 0; [ Marked_a__U21 ] (X0,X1) = 0; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 1; [ Marked_a__isNatKind ] (X0) = 0; [ a__U22 ] (X0) = 2*X0; [ U41 ] (X0,X1,X2) = 1; [ a__and ] (X0,X1) = 2*X1 + 1*X0; [ a__U12 ] (X0) = 0; [ U21 ] (X0,X1) = 2*X0; [ s ] (X0) = 2*X0; [ a__U31 ] (X0,X1) = 1; [ U51 ] (X0,X1,X2) = 1*X0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 0; [ a__U51 ] (X0,X1,X2) = 1*X0; [ Marked_a__and ] (X0,X1) = 2*X1; [ a__U21 ] (X0,X1) = 2*X0; [ U43 ] (X0) = 1*X0; [ length ] (X0) = 0; [ a__U11 ] (X0,X1) = 0; [ U31 ] (X0,X1) = 1; [ mark ] (X0) = 1*X0; [ a__U41 ] (X0,X1,X2) = 1; [ U53 ] (X0) = 2*X0; [ and ] (X0,X1) = 2*X1 + 1*X0; [ Marked_a__isNat ] (X0) = 0; [ 0 ] () = 0; [ U11 ] (X0,X1) = 0; [ a__U52 ] (X0,X1) = 1*X0; [ Marked_a__isNatIListKind ] (X0) = 0; [ a__isNat ] (X0) = 0; [ U42 ] (X0,X1) = 1; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 0; [ Marked_mark ] (X0) = 1*X0; [ U22 ] (X0) = 2*X0; [ a__length ] (X0) = 0; [ a__U42 ] (X0,X1) = 1; [ U52 ] (X0,X1) = 1*X0; [ nil ] () = 0; [ a__zeros ] () = 0; [ isNatList ] (X0) = 0; [ a__U53 ] (X0) = 2*X0; [ a__U32 ] (X0) = 2*X0 + 1; [ isNatIList ] (X0) = 1; [ a__isNatKind ] (X0) = 0; [ tt ] () = 0; [ U32 ] (X0) = 2*X0 + 1; [ a__U61 ] (X0,X1) = 0; [ Marked_a__U51 ] (X0,X1,X2) = 0; [ a__U43 ] (X0) = 1*X0; [ U61 ] (X0,X1) = 0; [ isNat ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 0; [ Marked_a__U21 ] (X0,X1) = 0; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 0; [ Marked_a__isNatKind ] (X0) = 0; [ a__U22 ] (X0) = 2*X0; [ U41 ] (X0,X1,X2) = 0; [ a__and ] (X0,X1) = 2*X1 + 2*X0; [ a__U12 ] (X0) = 0; [ U21 ] (X0,X1) = 1*X0; [ s ] (X0) = 1*X0; [ a__U31 ] (X0,X1) = 0; [ U51 ] (X0,X1,X2) = 1*X0 + 1; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 0; [ a__U51 ] (X0,X1,X2) = 1*X0 + 1; [ Marked_a__and ] (X0,X1) = 2*X1; [ a__U21 ] (X0,X1) = 1*X0; [ U43 ] (X0) = 2*X0; [ length ] (X0) = 0; [ a__U11 ] (X0,X1) = 0; [ U31 ] (X0,X1) = 0; [ mark ] (X0) = 1*X0; [ a__U41 ] (X0,X1,X2) = 0; [ U53 ] (X0) = 1*X0; [ and ] (X0,X1) = 2*X1 + 2*X0; [ Marked_a__isNat ] (X0) = 0; [ 0 ] () = 0; [ U11 ] (X0,X1) = 0; [ a__U52 ] (X0,X1) = 2*X0 + 1; [ Marked_a__isNatIListKind ] (X0) = 0; [ a__isNat ] (X0) = 0; [ U42 ] (X0,X1) = 0; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 1; [ Marked_mark ] (X0) = 2*X0; [ U22 ] (X0) = 2*X0; [ a__length ] (X0) = 0; [ a__U42 ] (X0,X1) = 0; [ U52 ] (X0,X1) = 2*X0 + 1; [ nil ] () = 0; [ a__zeros ] () = 0; [ isNatList ] (X0) = 1; [ a__U53 ] (X0) = 1*X0; [ a__U32 ] (X0) = 0; [ isNatIList ] (X0) = 0; [ a__isNatKind ] (X0) = 0; [ tt ] () = 0; [ U32 ] (X0) = 0; [ a__U61 ] (X0,X1) = 0; [ Marked_a__U51 ] (X0,X1,X2) = 0; [ a__U43 ] (X0) = 2*X0; [ U61 ] (X0,X1) = 0; [ isNat ] (X0) = 0; removing < Marked_mark(U51(X1,X2,X3)),Marked_mark(X1)> [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 0; [ Marked_a__U21 ] (X0,X1) = 0; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 0; [ Marked_a__isNatKind ] (X0) = 0; [ a__U22 ] (X0) = 1*X0; [ U41 ] (X0,X1,X2) = 0; [ a__and ] (X0,X1) = 2*X1 + 2*X0; [ a__U12 ] (X0) = 0; [ U21 ] (X0,X1) = 1*X1 + 1*X0 + 1; [ s ] (X0) = 2*X0; [ a__U31 ] (X0,X1) = 0; [ U51 ] (X0,X1,X2) = 0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 0; [ a__U51 ] (X0,X1,X2) = 0; [ Marked_a__and ] (X0,X1) = 2*X1; [ a__U21 ] (X0,X1) = 1*X1 + 1*X0 + 1; [ U43 ] (X0) = 2*X0; [ length ] (X0) = 0; [ a__U11 ] (X0,X1) = 0; [ U31 ] (X0,X1) = 0; [ mark ] (X0) = 1*X0; [ a__U41 ] (X0,X1,X2) = 0; [ U53 ] (X0) = 2*X0; [ and ] (X0,X1) = 2*X1 + 2*X0; [ Marked_a__isNat ] (X0) = 0; [ 0 ] () = 0; [ U11 ] (X0,X1) = 0; [ a__U52 ] (X0,X1) = 0; [ Marked_a__isNatIListKind ] (X0) = 0; [ a__isNat ] (X0) = 1*X0 + 1; [ U42 ] (X0,X1) = 0; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 0; [ Marked_mark ] (X0) = 1*X0; [ U22 ] (X0) = 1*X0; [ a__length ] (X0) = 0; [ a__U42 ] (X0,X1) = 0; [ U52 ] (X0,X1) = 0; [ nil ] () = 0; [ a__zeros ] () = 0; [ isNatList ] (X0) = 0; [ a__U53 ] (X0) = 2*X0; [ a__U32 ] (X0) = 0; [ isNatIList ] (X0) = 0; [ a__isNatKind ] (X0) = 0; [ tt ] () = 0; [ U32 ] (X0) = 0; [ a__U61 ] (X0,X1) = 0; [ a__U43 ] (X0) = 2*X0; [ U61 ] (X0,X1) = 0; [ isNat ] (X0) = 1*X0 + 1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 3*X1 + 2; [ Marked_a__U21 ] (X0,X1) = 1*X1; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 1*X0 + 2; [ a__U22 ] (X0) = 2; [ U41 ] (X0,X1,X2) = 1*X2 + 1; [ a__and ] (X0,X1) = 2*X1 + 1*X0; [ a__U12 ] (X0) = 2; [ U21 ] (X0,X1) = 1*X0; [ s ] (X0) = 1*X0 + 1; [ a__U31 ] (X0,X1) = 1*X1 + 2; [ U51 ] (X0,X1,X2) = 2*X2; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 1; [ a__U51 ] (X0,X1,X2) = 2*X2; [ a__U21 ] (X0,X1) = 1*X0; [ U43 ] (X0) = 1*X0; [ length ] (X0) = 1*X0; [ a__U11 ] (X0,X1) = 2; [ U31 ] (X0,X1) = 1*X1; [ mark ] (X0) = 2*X0 + 2; [ a__U41 ] (X0,X1,X2) = 2*X2 + 3; [ U53 ] (X0) = 1*X0; [ and ] (X0,X1) = 1*X1 + 1*X0; [ Marked_a__isNat ] (X0) = 1*X0; [ 0 ] () = 0; [ U11 ] (X0,X1) = 0; [ a__U52 ] (X0,X1) = 2*X1; [ a__isNat ] (X0) = 2; [ U42 ] (X0,X1) = 2*X1; [ a__isNatIListKind ] (X0) = 2; [ a__isNatList ] (X0) = 1*X0; [ U22 ] (X0) = 0; [ a__length ] (X0) = 1*X0; [ a__U42 ] (X0,X1) = 2*X1 + 2; [ U52 ] (X0,X1) = 2*X1; [ nil ] () = 2; [ a__zeros ] () = 2; [ isNatList ] (X0) = 1*X0; [ a__U53 ] (X0) = 1*X0; [ a__U32 ] (X0) = 1*X0; [ isNatIList ] (X0) = 1*X0; [ a__isNatKind ] (X0) = 2; [ tt ] () = 2; [ U32 ] (X0) = 1*X0; [ a__U61 ] (X0,X1) = 2*X1 + 1*X0 + 1; [ a__U43 ] (X0) = 1*X0; [ U61 ] (X0,X1) = 2*X1 + 1*X0 + 1; [ isNat ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 2*X1 + 2*X0; [ isNatKind ] (X0) = 1*X0; [ a__isNatIList ] (X0) = 0; [ Marked_a__isNatKind ] (X0) = 1*X0; [ a__U22 ] (X0) = 1*X0; [ U41 ] (X0,X1,X2) = 0; [ a__and ] (X0,X1) = 2*X1 + 2*X0; [ a__U12 ] (X0) = 0; [ U21 ] (X0,X1) = 1*X1; [ s ] (X0) = 1*X0; [ a__U31 ] (X0,X1) = 0; [ U51 ] (X0,X1,X2) = 0; [ isNatIListKind ] (X0) = 1*X0; [ zeros ] () = 0; [ U12 ] (X0) = 0; [ a__U51 ] (X0,X1,X2) = 0; [ Marked_a__and ] (X0,X1) = 2*X1; [ a__U21 ] (X0,X1) = 1*X1; [ U43 ] (X0) = 2*X0; [ length ] (X0) = 2*X0 + 1; [ a__U11 ] (X0,X1) = 0; [ U31 ] (X0,X1) = 0; [ mark ] (X0) = 1*X0; [ a__U41 ] (X0,X1,X2) = 0; [ U53 ] (X0) = 2*X0; [ and ] (X0,X1) = 2*X1 + 2*X0; [ 0 ] () = 0; [ U11 ] (X0,X1) = 0; [ a__U52 ] (X0,X1) = 0; [ Marked_a__isNatIListKind ] (X0) = 2*X0; [ a__isNat ] (X0) = 1*X0; [ U42 ] (X0,X1) = 0; [ a__isNatIListKind ] (X0) = 1*X0; [ a__isNatList ] (X0) = 0; [ Marked_mark ] (X0) = 2*X0; [ U22 ] (X0) = 1*X0; [ a__length ] (X0) = 2*X0 + 1; [ a__U42 ] (X0,X1) = 0; [ U52 ] (X0,X1) = 0; [ nil ] () = 0; [ a__zeros ] () = 0; [ isNatList ] (X0) = 0; [ a__U53 ] (X0) = 2*X0; [ a__U32 ] (X0) = 0; [ isNatIList ] (X0) = 0; [ a__isNatKind ] (X0) = 1*X0; [ tt ] () = 0; [ U32 ] (X0) = 0; [ a__U61 ] (X0,X1) = 2*X1 + 1; [ a__U43 ] (X0) = 2*X0; [ U61 ] (X0,X1) = 2*X1 + 1; [ isNat ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 2*X1 + 2*X0 + 2; [ isNatKind ] (X0) = 1*X0; [ a__isNatIList ] (X0) = 0; [ a__U22 ] (X0) = 1*X0; [ U41 ] (X0,X1,X2) = 0; [ a__and ] (X0,X1) = 2*X1 + 2*X0 + 2; [ a__U12 ] (X0) = 0; [ U21 ] (X0,X1) = 0; [ s ] (X0) = 1*X0; [ a__U31 ] (X0,X1) = 0; [ U51 ] (X0,X1,X2) = 0; [ isNatIListKind ] (X0) = 1*X0; [ zeros ] () = 0; [ U12 ] (X0) = 0; [ a__U51 ] (X0,X1,X2) = 0; [ Marked_a__and ] (X0,X1) = 2*X1; [ a__U21 ] (X0,X1) = 0; [ U43 ] (X0) = 1*X0; [ length ] (X0) = 1*X0; [ a__U11 ] (X0,X1) = 0; [ U31 ] (X0,X1) = 0; [ mark ] (X0) = 2*X0 + 2; [ a__U41 ] (X0,X1,X2) = 0; [ U53 ] (X0) = 1*X0; [ and ] (X0,X1) = 2*X1 + 2*X0 + 2; [ 0 ] () = 0; [ U11 ] (X0,X1) = 0; [ a__U52 ] (X0,X1) = 0; [ Marked_a__isNatIListKind ] (X0) = 1*X0; [ a__isNat ] (X0) = 0; [ U42 ] (X0,X1) = 0; [ a__isNatIListKind ] (X0) = 1*X0; [ a__isNatList ] (X0) = 0; [ Marked_mark ] (X0) = 1*X0; [ U22 ] (X0) = 1*X0; [ a__length ] (X0) = 1*X0; [ a__U42 ] (X0,X1) = 0; [ U52 ] (X0,X1) = 0; [ nil ] () = 0; [ a__zeros ] () = 2; [ isNatList ] (X0) = 0; [ a__U53 ] (X0) = 1*X0; [ a__U32 ] (X0) = 1*X0; [ isNatIList ] (X0) = 0; [ a__isNatKind ] (X0) = 1*X0; [ tt ] () = 0; [ U32 ] (X0) = 1*X0; [ a__U61 ] (X0,X1) = 2*X1 + 2; [ a__U43 ] (X0) = 1*X0; [ U61 ] (X0,X1) = 1*X1; [ isNat ] (X0) = 0; removing < Marked_mark(and(X1,X2)),Marked_a__and(mark(X1),X2)> [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 1*X1 + 2*X0 + 1; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 0; [ a__U22 ] (X0) = 1*X0; [ U41 ] (X0,X1,X2) = 0; [ a__and ] (X0,X1) = 2*X1; [ a__U12 ] (X0) = 0; [ U21 ] (X0,X1) = 0; [ s ] (X0) = 1*X0; [ a__U31 ] (X0,X1) = 0; [ U51 ] (X0,X1,X2) = 2*X2 + 2; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 1; [ U12 ] (X0) = 0; [ a__U51 ] (X0,X1,X2) = 3*X2 + 3; [ a__U21 ] (X0,X1) = 0; [ U43 ] (X0) = 2*X0; [ length ] (X0) = 0; [ a__U11 ] (X0,X1) = 0; [ U31 ] (X0,X1) = 0; [ mark ] (X0) = 2*X0; [ a__U41 ] (X0,X1,X2) = 0; [ U53 ] (X0) = 1*X0 + 2; [ and ] (X0,X1) = 2*X1; [ 0 ] () = 0; [ U11 ] (X0,X1) = 0; [ a__U52 ] (X0,X1) = 3*X1 + 3; [ a__isNat ] (X0) = 0; [ U42 ] (X0,X1) = 0; [ a__isNatIListKind ] (X0) = 0; [ a__isNatList ] (X0) = 3*X0 + 1; [ Marked_mark ] (X0) = 3*X0; [ U22 ] (X0) = 1*X0; [ a__length ] (X0) = 0; [ a__U42 ] (X0,X1) = 0; [ U52 ] (X0,X1) = 2*X1 + 2; [ nil ] () = 0; [ a__zeros ] () = 2; [ isNatList ] (X0) = 2*X0 + 1; [ a__U53 ] (X0) = 1*X0 + 2; [ a__U32 ] (X0) = 0; [ isNatIList ] (X0) = 0; [ a__isNatKind ] (X0) = 0; [ tt ] () = 0; [ U32 ] (X0) = 0; [ a__U61 ] (X0,X1) = 0; [ a__U43 ] (X0) = 2*X0; [ U61 ] (X0,X1) = 0; [ isNat ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 2*X1 + 2; [ isNatKind ] (X0) = 2*X0; [ a__isNatIList ] (X0) = 1*X0; [ a__U22 ] (X0) = 1*X0; [ U41 ] (X0,X1,X2) = 1*X2; [ a__and ] (X0,X1) = 2*X1 + 2; [ a__U12 ] (X0) = 0; [ U21 ] (X0,X1) = 0; [ s ] (X0) = 1*X0; [ a__U31 ] (X0,X1) = 0; [ U51 ] (X0,X1,X2) = 0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 0; [ a__U51 ] (X0,X1,X2) = 0; [ a__U21 ] (X0,X1) = 0; [ U43 ] (X0) = 1*X0 + 1; [ length ] (X0) = 1; [ a__U11 ] (X0,X1) = 0; [ U31 ] (X0,X1) = 0; [ mark ] (X0) = 1*X0 + 2; [ a__U41 ] (X0,X1,X2) = 1*X2 + 1; [ U53 ] (X0) = 0; [ and ] (X0,X1) = 2*X1; [ 0 ] () = 0; [ U11 ] (X0,X1) = 0; [ a__U52 ] (X0,X1) = 0; [ a__isNat ] (X0) = 0; [ U42 ] (X0,X1) = 1*X1; [ a__isNatIListKind ] (X0) = 2; [ a__isNatList ] (X0) = 0; [ Marked_mark ] (X0) = 3*X0; [ U22 ] (X0) = 1*X0; [ a__length ] (X0) = 1; [ a__U42 ] (X0,X1) = 1*X1 + 1; [ U52 ] (X0,X1) = 0; [ nil ] () = 0; [ a__zeros ] () = 2; [ isNatList ] (X0) = 0; [ a__U53 ] (X0) = 0; [ a__U32 ] (X0) = 0; [ isNatIList ] (X0) = 1*X0; [ a__isNatKind ] (X0) = 2*X0; [ tt ] () = 0; [ U32 ] (X0) = 0; [ a__U61 ] (X0,X1) = 1; [ a__U43 ] (X0) = 1*X0 + 1; [ U61 ] (X0,X1) = 0; [ isNat ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ cons ] (X0,X1) = 3*X1 + 1; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 3*X0 + 1; [ a__U22 ] (X0) = 1*X0; [ U41 ] (X0,X1,X2) = 2*X0 + 2; [ a__and ] (X0,X1) = 2*X1 + 1*X0; [ a__U12 ] (X0) = 1; [ U21 ] (X0,X1) = 0; [ s ] (X0) = 1*X0 + 1; [ a__U31 ] (X0,X1) = 2*X1; [ U51 ] (X0,X1,X2) = 0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 0; [ a__U51 ] (X0,X1,X2) = 1; [ a__U21 ] (X0,X1) = 1; [ U43 ] (X0) = 1; [ length ] (X0) = 1*X0; [ a__U11 ] (X0,X1) = 1; [ U31 ] (X0,X1) = 2*X1; [ mark ] (X0) = 2*X0 + 1; [ a__U41 ] (X0,X1,X2) = 2*X0 + 2; [ U53 ] (X0) = 0; [ and ] (X0,X1) = 1*X1 + 1*X0; [ 0 ] () = 0; [ U11 ] (X0,X1) = 0; [ a__U52 ] (X0,X1) = 1; [ a__isNat ] (X0) = 1; [ U42 ] (X0,X1) = 2; [ a__isNatIListKind ] (X0) = 1; [ a__isNatList ] (X0) = 1*X0; [ Marked_mark ] (X0) = 3*X0; [ U22 ] (X0) = 1*X0; [ a__length ] (X0) = 1*X0; [ a__U42 ] (X0,X1) = 2; [ U52 ] (X0,X1) = 0; [ nil ] () = 1; [ a__zeros ] () = 1; [ isNatList ] (X0) = 1*X0; [ a__U53 ] (X0) = 1; [ a__U32 ] (X0) = 1*X0; [ isNatIList ] (X0) = 2*X0; [ a__isNatKind ] (X0) = 1; [ tt ] () = 1; [ U32 ] (X0) = 1*X0; [ a__U61 ] (X0,X1) = 2*X1 + 1*X0 + 1; [ a__U43 ] (X0) = 1; [ U61 ] (X0,X1) = 2*X1 + 1*X0 + 1; [ isNat ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ cons ] (X0,X1) = 2 + 2*X0 + 3*X1 + 0; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 2 + 3*X0 + 0; [ a__U22 ] (X0) = 1 + 1*X0 + 0; [ U41 ] (X0,X1,X2) = 2 + 2*X0 + 1*X1 + 2*X2 + 0; [ a__and ] (X0,X1) = 1*X0 + 2*X1 + 0; [ a__U12 ] (X0) = 1*X0 + 0; [ U21 ] (X0,X1) = 3 + 1*X1 + 0; [ s ] (X0) = 1 + 1*X0 + 0; [ a__U31 ] (X0,X1) = 2 + 2*X1 + 0; [ U51 ] (X0,X1,X2) = 2*X2 + 0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 1*X0 + 0; [ a__U51 ] (X0,X1,X2) = 2 + 3*X2 + 0; [ a__U21 ] (X0,X1) = 3 + 1*X1 + 0; [ U43 ] (X0) = 1*X0 + 0; [ length ] (X0) = 1*X0 + 0; [ a__U11 ] (X0,X1) = 2 + 1*X1 + 0; [ U31 ] (X0,X1) = 1 + 1*X1 + 0; [ mark ] (X0) = 2 + 2*X0 + 0; [ a__U41 ] (X0,X1,X2) = 2 + 2*X0 + 2*X1 + 3*X2 + 0; [ U53 ] (X0) = 1*X0 + 0; [ and ] (X0,X1) = 1*X0 + 2*X1 + 0; [ 0 ] () = 0; [ U11 ] (X0,X1) = 1*X1 + 0; [ a__U52 ] (X0,X1) = 2*X1 + 0; [ a__isNat ] (X0) = 2 + 1*X0 + 0; [ U42 ] (X0,X1) = 2 + 1*X0 + 2*X1 + 0; [ a__isNatIListKind ] (X0) = 2 + 0; [ a__isNatList ] (X0) = 1*X0 + 0; [ Marked_mark ] (X0) = 3*X0 + 0; [ U22 ] (X0) = 1 + 1*X0 + 0; [ a__length ] (X0) = 1*X0 + 0; [ a__U42 ] (X0,X1) = 2 + 1*X0 + 3*X1 + 0; [ U52 ] (X0,X1) = 2*X1 + 0; [ nil ] () = 2 + 0; [ a__zeros ] () = 2 + 0; [ isNatList ] (X0) = 1*X0 + 0; [ a__U53 ] (X0) = 1*X0 + 0; [ a__U32 ] (X0) = 1*X0 + 0; [ isNatIList ] (X0) = 2*X0 + 0; [ a__isNatKind ] (X0) = 2 + 0; [ tt ] () = 2 + 0; [ U32 ] (X0) = 1*X0 + 0; [ a__U61 ] (X0,X1) = 1 + 1*X0 + 2*X1 + 0; [ a__U43 ] (X0) = 1*X0 + 0; [ U61 ] (X0,X1) = 1 + 1*X0 + 1*X1 + 0; [ isNat ] (X0) = 1*X0 + 0; ]} ]} ]} ]} ]} ]} ]} ]} ]} { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ cons ] (X0,X1) = 1 + 3*X1 + 0; [ isNatKind ] (X0) = 0; [ a__isNatIList ] (X0) = 2 + 0; [ Marked_a__isNatKind ] (X0) = 3*X0 + 0; [ a__U22 ] (X0) = 1*X0 + 0; [ U41 ] (X0,X1,X2) = 1 + 0; [ a__and ] (X0,X1) = 1*X0 + 2*X1 + 0; [ a__U12 ] (X0) = 1 + 0; [ U21 ] (X0,X1) = 1*X0 + 0; [ s ] (X0) = 1 + 1*X0 + 0; [ a__U31 ] (X0,X1) = 1 + 0; [ U51 ] (X0,X1,X2) = 1*X2 + 0; [ isNatIListKind ] (X0) = 0; [ zeros ] () = 0; [ U12 ] (X0) = 1 + 0; [ a__U51 ] (X0,X1,X2) = 2*X2 + 0; [ a__U21 ] (X0,X1) = 1*X0 + 0; [ U43 ] (X0) = 0; [ length ] (X0) = 1*X0 + 0; [ a__U11 ] (X0,X1) = 1 + 0; [ U31 ] (X0,X1) = 0; [ mark ] (X0) = 1 + 2*X0 + 0; [ a__U41 ] (X0,X1,X2) = 2 + 0; [ U53 ] (X0) = 1*X0 + 0; [ and ] (X0,X1) = 1*X0 + 2*X1 + 0; [ 0 ] () = 0; [ U11 ] (X0,X1) = 1 + 0; [ a__U52 ] (X0,X1) = 2*X1 + 0; [ a__isNat ] (X0) = 1 + 0; [ U42 ] (X0,X1) = 1 + 0; [ a__isNatIListKind ] (X0) = 1 + 0; [ a__isNatList ] (X0) = 1*X0 + 0; [ U22 ] (X0) = 1*X0 + 0; [ a__length ] (X0) = 1*X0 + 0; [ a__U42 ] (X0,X1) = 2 + 0; [ U52 ] (X0,X1) = 2*X1 + 0; [ nil ] () = 1 + 0; [ a__zeros ] () = 1 + 0; [ isNatList ] (X0) = 1*X0 + 0; [ a__U53 ] (X0) = 1*X0 + 0; [ a__U32 ] (X0) = 1 + 0; [ isNatIList ] (X0) = 2 + 0; [ a__isNatKind ] (X0) = 1 + 0; [ tt ] () = 1 + 0; [ U32 ] (X0) = 1 + 0; [ a__U61 ] (X0,X1) = 1 + 1*X0 + 2*X1 + 0; [ a__U43 ] (X0) = 1 + 0; [ U61 ] (X0,X1) = 1 + 1*X0 + 2*X1 + 0; [ isNat ] (X0) = 0; ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} Cime worked for 7.490296 seconds (real time) Cime Exit Status: 0