- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] active(U11(tt,V1,V2)) -> mark(U12(isNat(V1),V2)) [2] active(U12(tt,V2)) -> mark(U13(isNat(V2))) [3] active(U13(tt)) -> mark(tt) [4] active(U21(tt,V1)) -> mark(U22(isNat(V1))) [5] active(U22(tt)) -> mark(tt) [6] active(U31(tt,V1,V2)) -> mark(U32(isNat(V1),V2)) [7] active(U32(tt,V2)) -> mark(U33(isNat(V2))) [8] active(U33(tt)) -> mark(tt) [9] active(U41(tt,N)) -> mark(N) [10] active(U51(tt,M,N)) -> mark(s(plus(N,M))) [11] active(U61(tt)) -> mark(0) [12] active(U71(tt,M,N)) -> mark(plus(x(N,M),N)) [13] active(and(tt,X)) -> mark(X) [14] active(isNat(0)) -> mark(tt) [15] active(isNat(plus(V1,V2))) -> mark(U11(and(isNatKind(V1),isNatKind(V2)),V1,V2)) [16] active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1)) [17] active(isNat(x(V1,V2))) -> mark(U31(and(isNatKind(V1),isNatKind(V2)),V1,V2)) [18] active(isNatKind(0)) -> mark(tt) [19] active(isNatKind(plus(V1,V2))) -> mark(and(isNatKind(V1),isNatKind(V2))) [20] active(isNatKind(s(V1))) -> mark(isNatKind(V1)) [21] active(isNatKind(x(V1,V2))) -> mark(and(isNatKind(V1),isNatKind(V2))) [22] active(plus(N,0)) -> mark(U41(and(isNat(N),isNatKind(N)),N)) [23] active(plus(N,s(M))) -> mark(U51(and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N)) [24] active(x(N,0)) -> mark(U61(and(isNat(N),isNatKind(N)))) [25] active(x(N,s(M))) -> mark(U71(and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N)) [26] mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) [27] mark(tt) -> active(tt) [28] mark(U12(X1,X2)) -> active(U12(mark(X1),X2)) [29] mark(isNat(X)) -> active(isNat(X)) [30] mark(U13(X)) -> active(U13(mark(X))) [31] mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) [32] mark(U22(X)) -> active(U22(mark(X))) [33] mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3)) [34] mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) [35] mark(U33(X)) -> active(U33(mark(X))) [36] mark(U41(X1,X2)) -> active(U41(mark(X1),X2)) [37] mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3)) [38] mark(s(X)) -> active(s(mark(X))) [39] mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2))) [40] mark(U61(X)) -> active(U61(mark(X))) [41] mark(0) -> active(0) [42] mark(U71(X1,X2,X3)) -> active(U71(mark(X1),X2,X3)) [43] mark(x(X1,X2)) -> active(x(mark(X1),mark(X2))) [44] mark(and(X1,X2)) -> active(and(mark(X1),X2)) [45] mark(isNatKind(X)) -> active(isNatKind(X)) [46] U11(mark(X1),X2,X3) -> U11(X1,X2,X3) [47] U11(X1,mark(X2),X3) -> U11(X1,X2,X3) [48] U11(X1,X2,mark(X3)) -> U11(X1,X2,X3) [49] U11(active(X1),X2,X3) -> U11(X1,X2,X3) [50] U11(X1,active(X2),X3) -> U11(X1,X2,X3) [51] U11(X1,X2,active(X3)) -> U11(X1,X2,X3) [52] U12(mark(X1),X2) -> U12(X1,X2) [53] U12(X1,mark(X2)) -> U12(X1,X2) [54] U12(active(X1),X2) -> U12(X1,X2) [55] U12(X1,active(X2)) -> U12(X1,X2) [56] isNat(mark(X)) -> isNat(X) [57] isNat(active(X)) -> isNat(X) [58] U13(mark(X)) -> U13(X) [59] U13(active(X)) -> U13(X) [60] U21(mark(X1),X2) -> U21(X1,X2) [61] U21(X1,mark(X2)) -> U21(X1,X2) [62] U21(active(X1),X2) -> U21(X1,X2) [63] U21(X1,active(X2)) -> U21(X1,X2) [64] U22(mark(X)) -> U22(X) [65] U22(active(X)) -> U22(X) [66] U31(mark(X1),X2,X3) -> U31(X1,X2,X3) [67] U31(X1,mark(X2),X3) -> U31(X1,X2,X3) [68] U31(X1,X2,mark(X3)) -> U31(X1,X2,X3) [69] U31(active(X1),X2,X3) -> U31(X1,X2,X3) [70] U31(X1,active(X2),X3) -> U31(X1,X2,X3) [71] U31(X1,X2,active(X3)) -> U31(X1,X2,X3) [72] U32(mark(X1),X2) -> U32(X1,X2) [73] U32(X1,mark(X2)) -> U32(X1,X2) [74] U32(active(X1),X2) -> U32(X1,X2) [75] U32(X1,active(X2)) -> U32(X1,X2) [76] U33(mark(X)) -> U33(X) [77] U33(active(X)) -> U33(X) [78] U41(mark(X1),X2) -> U41(X1,X2) [79] U41(X1,mark(X2)) -> U41(X1,X2) [80] U41(active(X1),X2) -> U41(X1,X2) [81] U41(X1,active(X2)) -> U41(X1,X2) [82] U51(mark(X1),X2,X3) -> U51(X1,X2,X3) [83] U51(X1,mark(X2),X3) -> U51(X1,X2,X3) [84] U51(X1,X2,mark(X3)) -> U51(X1,X2,X3) [85] U51(active(X1),X2,X3) -> U51(X1,X2,X3) [86] U51(X1,active(X2),X3) -> U51(X1,X2,X3) [87] U51(X1,X2,active(X3)) -> U51(X1,X2,X3) [88] s(mark(X)) -> s(X) [89] s(active(X)) -> s(X) [90] plus(mark(X1),X2) -> plus(X1,X2) [91] plus(X1,mark(X2)) -> plus(X1,X2) [92] plus(active(X1),X2) -> plus(X1,X2) [93] plus(X1,active(X2)) -> plus(X1,X2) [94] U61(mark(X)) -> U61(X) [95] U61(active(X)) -> U61(X) [96] U71(mark(X1),X2,X3) -> U71(X1,X2,X3) [97] U71(X1,mark(X2),X3) -> U71(X1,X2,X3) [98] U71(X1,X2,mark(X3)) -> U71(X1,X2,X3) [99] U71(active(X1),X2,X3) -> U71(X1,X2,X3) [100] U71(X1,active(X2),X3) -> U71(X1,X2,X3) [101] U71(X1,X2,active(X3)) -> U71(X1,X2,X3) [102] x(mark(X1),X2) -> x(X1,X2) [103] x(X1,mark(X2)) -> x(X1,X2) [104] x(active(X1),X2) -> x(X1,X2) [105] x(X1,active(X2)) -> x(X1,X2) [106] and(mark(X1),X2) -> and(X1,X2) [107] and(X1,mark(X2)) -> and(X1,X2) [108] and(active(X1),X2) -> and(X1,X2) [109] and(X1,active(X2)) -> and(X1,X2) [110] isNatKind(mark(X)) -> isNatKind(X) [111] isNatKind(active(X)) -> isNatKind(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 19 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ; mark(tt) >= active(tt) ; mark(U13(X)) >= active(U13(mark(X))) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) ; mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) ; mark(U33(X)) >= active(U33(mark(X))) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U61(X)) >= active(U61(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U71(X1,X2,X3)) >= active(U71(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; U12(mark(X1),X2) >= U12(X1,X2) ; U12(active(X1),X2) >= U12(X1,X2) ; U12(X1,mark(X2)) >= U12(X1,X2) ; U12(X1,active(X2)) >= U12(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; active(U12(tt,V2)) >= mark(U13(isNat(V2))) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(plus(V1,V2))) >= mark(U11(and(isNatKind(V1),isNatKind(V2)), V1,V2)) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(U31(and(isNatKind(V1),isNatKind(V2)),V1,V2)) ; active(U11(tt,V1,V2)) >= mark(U12(isNat(V1),V2)) ; active(U13(tt)) >= mark(tt) ; active(U22(tt)) >= mark(tt) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt,V2)) >= mark(U33(isNat(V2))) ; active(U31(tt,V1,V2)) >= mark(U32(isNat(V1),V2)) ; active(U33(tt)) >= mark(tt) ; active(U41(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U51(and(and(isNat(M),isNatKind(M)), and(isNat(N),isNatKind(N))),M,N)) ; active(plus(N,0)) >= mark(U41(and(isNat(N),isNatKind(N)),N)) ; active(U51(tt,M,N)) >= mark(s(plus(N,M))) ; active(U61(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U71(and(and(isNat(M),isNatKind(M)), and(isNat(N),isNatKind(N))),M,N)) ; active(x(N,0)) >= mark(U61(and(isNat(N),isNatKind(N)))) ; active(U71(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(plus(V1,V2))) >= mark(and(isNatKind(V1),isNatKind(V2))) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(x(V1,V2))) >= mark(and(isNatKind(V1),isNatKind(V2))) ; U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ; U11(active(X1),X2,X3) >= U11(X1,X2,X3) ; U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ; U11(X1,active(X2),X3) >= U11(X1,X2,X3) ; U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ; U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ; U13(mark(X)) >= U13(X) ; U13(active(X)) >= U13(X) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X1),X2) >= U32(X1,X2) ; U32(active(X1),X2) >= U32(X1,X2) ; U32(X1,mark(X2)) >= U32(X1,X2) ; U32(X1,active(X2)) >= U32(X1,X2) ; U31(mark(X1),X2,X3) >= U31(X1,X2,X3) ; U31(active(X1),X2,X3) >= U31(X1,X2,X3) ; U31(X1,mark(X2),X3) >= U31(X1,X2,X3) ; U31(X1,active(X2),X3) >= U31(X1,X2,X3) ; U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) ; U31(X1,X2,active(X3)) >= U31(X1,X2,X3) ; U33(mark(X)) >= U33(X) ; U33(active(X)) >= U33(X) ; U41(mark(X1),X2) >= U41(X1,X2) ; U41(active(X1),X2) >= U41(X1,X2) ; U41(X1,mark(X2)) >= U41(X1,X2) ; U41(X1,active(X2)) >= U41(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U61(mark(X)) >= U61(X) ; U61(active(X)) >= U61(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U71(mark(X1),X2,X3) >= U71(X1,X2,X3) ; U71(active(X1),X2,X3) >= U71(X1,X2,X3) ; U71(X1,mark(X2),X3) >= U71(X1,X2,X3) ; U71(X1,active(X2),X3) >= U71(X1,X2,X3) ; U71(X1,X2,mark(X3)) >= U71(X1,X2,X3) ; U71(X1,X2,active(X3)) >= U71(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_mark(U12(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ; Marked_mark(U13(X)) >= Marked_mark(X) ; Marked_mark(U13(X)) >= Marked_active(U13(mark(X))) ; Marked_mark(U22(X)) >= Marked_mark(X) ; Marked_mark(U22(X)) >= Marked_active(U22(mark(X))) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U32(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) ; Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) ; Marked_mark(U33(X)) >= Marked_mark(X) ; Marked_mark(U33(X)) >= Marked_active(U33(mark(X))) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2,X3)) >= Marked_active(U51(mark(X1),X2,X3)) ; Marked_mark(U61(X)) >= Marked_mark(X) ; Marked_mark(U61(X)) >= Marked_active(U61(mark(X))) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U71(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U71(X1,X2,X3)) >= Marked_active(U71(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_active(U12(tt,V2)) >= Marked_mark(U13(isNat(V2))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(and(isNatKind(V1), isNatKind(V2)), V1,V2)) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(and(isNatKind(V1), isNatKind(V2)),V1, V2)) ; Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNat(V1),V2)) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNat(V1))) ; Marked_active(U32(tt,V2)) >= Marked_mark(U33(isNat(V2))) ; Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNat(V1),V2)) ; Marked_active(U41(tt,N)) >= Marked_mark(N) ; Marked_active(plus(N,s(M))) >= Marked_mark(U51(and(and(isNat(M),isNatKind(M)), and(isNat(N),isNatKind(N))), M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U41(and(isNat(N),isNatKind(N)),N)) ; Marked_active(U51(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(x(N,s(M))) >= Marked_mark(U71(and(and(isNat(M),isNatKind(M)), and(isNat(N),isNatKind(N))), M,N)) ; Marked_active(x(N,0)) >= Marked_mark(U61(and(isNat(N),isNatKind(N)))) ; Marked_active(U71(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(isNatKind(V1)) ; Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(and(isNatKind(V1), isNatKind(V2))) ; Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(and(isNatKind(V1), isNatKind(V2))) ; } + Disjunctions:{ { Marked_mark(U12(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2)) > Marked_active(U12(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ; } { Marked_mark(U13(X)) > Marked_mark(X) ; } { Marked_mark(U13(X)) > Marked_active(U13(mark(X))) ; } { Marked_mark(U22(X)) > Marked_mark(X) ; } { Marked_mark(U22(X)) > Marked_active(U22(mark(X))) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U32(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2)) > Marked_active(U32(mark(X1),X2)) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_active(U31(mark(X1),X2,X3)) ; } { Marked_mark(U33(X)) > Marked_mark(X) ; } { Marked_mark(U33(X)) > Marked_active(U33(mark(X))) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2,X3)) > Marked_active(U51(mark(X1),X2,X3)) ; } { Marked_mark(U61(X)) > Marked_mark(X) ; } { Marked_mark(U61(X)) > Marked_active(U61(mark(X))) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U71(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U71(X1,X2,X3)) > Marked_active(U71(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_active(U12(tt,V2)) > Marked_mark(U13(isNat(V2))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(U11(and(isNatKind(V1), isNatKind(V2)), V1,V2)) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(U31(and(isNatKind(V1), isNatKind(V2)),V1, V2)) ; } { Marked_active(U11(tt,V1,V2)) > Marked_mark(U12(isNat(V1),V2)) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNat(V1))) ; } { Marked_active(U32(tt,V2)) > Marked_mark(U33(isNat(V2))) ; } { Marked_active(U31(tt,V1,V2)) > Marked_mark(U32(isNat(V1),V2)) ; } { Marked_active(U41(tt,N)) > Marked_mark(N) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U51(and(and(isNat(M),isNatKind(M)), and(isNat(N),isNatKind(N))), M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U41(and(isNat(N),isNatKind(N)),N)) ; } { Marked_active(U51(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(x(N,s(M))) > Marked_mark(U71(and(and(isNat(M),isNatKind(M)), and(isNat(N),isNatKind(N))), M,N)) ; } { Marked_active(x(N,0)) > Marked_mark(U61(and(isNat(N),isNatKind(N)))) ; } { Marked_active(U71(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(isNatKind(V1)) ; } { Marked_active(isNatKind(plus(V1,V2))) > Marked_mark(and(isNatKind(V1), isNatKind(V2))) ; } { Marked_active(isNatKind(x(V1,V2))) > Marked_mark(and(isNatKind(V1), isNatKind(V2))) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) constraint: mark(tt) >= active(tt) constraint: mark(U13(X)) >= active(U13(mark(X))) constraint: mark(U22(X)) >= active(U22(mark(X))) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) constraint: mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) constraint: mark(U33(X)) >= active(U33(mark(X))) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U61(X)) >= active(U61(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U71(X1,X2,X3)) >= active(U71(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: U12(mark(X1),X2) >= U12(X1,X2) constraint: U12(active(X1),X2) >= U12(X1,X2) constraint: U12(X1,mark(X2)) >= U12(X1,X2) constraint: U12(X1,active(X2)) >= U12(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: active(U12(tt,V2)) >= mark(U13(isNat(V2))) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(plus(V1,V2))) >= mark(U11(and(isNatKind(V1), isNatKind(V2)),V1, V2)) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(U31(and(isNatKind(V1), isNatKind(V2)),V1,V2)) constraint: active(U11(tt,V1,V2)) >= mark(U12(isNat(V1),V2)) constraint: active(U13(tt)) >= mark(tt) constraint: active(U22(tt)) >= mark(tt) constraint: active(U21(tt,V1)) >= mark(U22(isNat(V1))) constraint: active(U32(tt,V2)) >= mark(U33(isNat(V2))) constraint: active(U31(tt,V1,V2)) >= mark(U32(isNat(V1),V2)) constraint: active(U33(tt)) >= mark(tt) constraint: active(U41(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U51(and(and(isNat(M),isNatKind(M)), and(isNat(N),isNatKind(N))), M,N)) constraint: active(plus(N,0)) >= mark(U41(and(isNat(N),isNatKind(N)),N)) constraint: active(U51(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U61(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U71(and(and(isNat(M),isNatKind(M)), and(isNat(N),isNatKind(N))), M,N)) constraint: active(x(N,0)) >= mark(U61(and(isNat(N),isNatKind(N)))) constraint: active(U71(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNatKind(s(V1))) >= mark(isNatKind(V1)) constraint: active(isNatKind(plus(V1,V2))) >= mark(and(isNatKind(V1), isNatKind(V2))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(isNatKind(x(V1,V2))) >= mark(and(isNatKind(V1), isNatKind(V2))) constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3) constraint: U13(mark(X)) >= U13(X) constraint: U13(active(X)) >= U13(X) constraint: U22(mark(X)) >= U22(X) constraint: U22(active(X)) >= U22(X) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U32(mark(X1),X2) >= U32(X1,X2) constraint: U32(active(X1),X2) >= U32(X1,X2) constraint: U32(X1,mark(X2)) >= U32(X1,X2) constraint: U32(X1,active(X2)) >= U32(X1,X2) constraint: U31(mark(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(active(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(X1,mark(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,active(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) constraint: U31(X1,X2,active(X3)) >= U31(X1,X2,X3) constraint: U33(mark(X)) >= U33(X) constraint: U33(active(X)) >= U33(X) constraint: U41(mark(X1),X2) >= U41(X1,X2) constraint: U41(active(X1),X2) >= U41(X1,X2) constraint: U41(X1,mark(X2)) >= U41(X1,X2) constraint: U41(X1,active(X2)) >= U41(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U51(mark(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(active(X1),X2,X3) >= U51(X1,X2,X3) constraint: U51(X1,mark(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,active(X2),X3) >= U51(X1,X2,X3) constraint: U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) constraint: U51(X1,X2,active(X3)) >= U51(X1,X2,X3) constraint: U61(mark(X)) >= U61(X) constraint: U61(active(X)) >= U61(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U71(mark(X1),X2,X3) >= U71(X1,X2,X3) constraint: U71(active(X1),X2,X3) >= U71(X1,X2,X3) constraint: U71(X1,mark(X2),X3) >= U71(X1,X2,X3) constraint: U71(X1,active(X2),X3) >= U71(X1,X2,X3) constraint: U71(X1,X2,mark(X3)) >= U71(X1,X2,X3) constraint: U71(X1,X2,active(X3)) >= U71(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: Marked_mark(U12(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2)) >= Marked_active(U12(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) constraint: Marked_mark(U13(X)) >= Marked_mark(X) constraint: Marked_mark(U13(X)) >= Marked_active(U13(mark(X))) constraint: Marked_mark(U22(X)) >= Marked_mark(X) constraint: Marked_mark(U22(X)) >= Marked_active(U22(mark(X))) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U32(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2)) >= Marked_active(U32(mark(X1),X2)) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) constraint: Marked_mark(U33(X)) >= Marked_mark(X) constraint: Marked_mark(U33(X)) >= Marked_active(U33(mark(X))) constraint: Marked_mark(U41(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2,X3)) >= Marked_active(U51(mark(X1),X2,X3)) constraint: Marked_mark(U61(X)) >= Marked_mark(X) constraint: Marked_mark(U61(X)) >= Marked_active(U61(mark(X))) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U71(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U71(X1,X2,X3)) >= Marked_active(U71(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_active(U12(tt,V2)) >= Marked_mark(U13(isNat(V2))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(and( isNatKind( V1), isNatKind(V2)), V1,V2)) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(and(isNatKind(V1), isNatKind(V2)), V1,V2)) constraint: Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNat(V1),V2)) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNat(V1))) constraint: Marked_active(U32(tt,V2)) >= Marked_mark(U33(isNat(V2))) constraint: Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNat(V1),V2)) constraint: Marked_active(U41(tt,N)) >= Marked_mark(N) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M,N)) constraint: Marked_active(plus(N,0)) >= Marked_mark(U41(and(isNat(N), isNatKind(N)), N)) constraint: Marked_active(U51(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(x(N,s(M))) >= Marked_mark(U71(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M,N)) constraint: Marked_active(x(N,0)) >= Marked_mark(U61(and(isNat(N),isNatKind(N)))) constraint: Marked_active(U71(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(isNatKind(V1)) constraint: Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(and( isNatKind( V1), isNatKind(V2))) constraint: Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(and(isNatKind(V1), isNatKind(V2))) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U12(X1,X2)) >= active(U12(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ; mark(tt) >= active(tt) ; mark(U13(X)) >= active(U13(mark(X))) ; mark(U22(X)) >= active(U22(mark(X))) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U32(X1,X2)) >= active(U32(mark(X1),X2)) ; mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) ; mark(U33(X)) >= active(U33(mark(X))) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U51(X1,X2,X3)) >= active(U51(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U61(X)) >= active(U61(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U71(X1,X2,X3)) >= active(U71(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; U12(mark(X1),X2) >= U12(X1,X2) ; U12(active(X1),X2) >= U12(X1,X2) ; U12(X1,mark(X2)) >= U12(X1,X2) ; U12(X1,active(X2)) >= U12(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; active(U12(tt,V2)) >= mark(U13(isNat(V2))) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(plus(V1,V2))) >= mark(U11(and(isNatKind(V1),isNatKind(V2)), V1,V2)) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(U31(and(isNatKind(V1),isNatKind(V2)),V1,V2)) ; active(U11(tt,V1,V2)) >= mark(U12(isNat(V1),V2)) ; active(U13(tt)) >= mark(tt) ; active(U22(tt)) >= mark(tt) ; active(U21(tt,V1)) >= mark(U22(isNat(V1))) ; active(U32(tt,V2)) >= mark(U33(isNat(V2))) ; active(U31(tt,V1,V2)) >= mark(U32(isNat(V1),V2)) ; active(U33(tt)) >= mark(tt) ; active(U41(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U51(and(and(isNat(M),isNatKind(M)), and(isNat(N),isNatKind(N))),M,N)) ; active(plus(N,0)) >= mark(U41(and(isNat(N),isNatKind(N)),N)) ; active(U51(tt,M,N)) >= mark(s(plus(N,M))) ; active(U61(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U71(and(and(isNat(M),isNatKind(M)), and(isNat(N),isNatKind(N))),M,N)) ; active(x(N,0)) >= mark(U61(and(isNat(N),isNatKind(N)))) ; active(U71(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNatKind(s(V1))) >= mark(isNatKind(V1)) ; active(isNatKind(plus(V1,V2))) >= mark(and(isNatKind(V1),isNatKind(V2))) ; active(isNatKind(0)) >= mark(tt) ; active(isNatKind(x(V1,V2))) >= mark(and(isNatKind(V1),isNatKind(V2))) ; U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ; U11(active(X1),X2,X3) >= U11(X1,X2,X3) ; U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ; U11(X1,active(X2),X3) >= U11(X1,X2,X3) ; U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ; U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ; U13(mark(X)) >= U13(X) ; U13(active(X)) >= U13(X) ; U22(mark(X)) >= U22(X) ; U22(active(X)) >= U22(X) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U32(mark(X1),X2) >= U32(X1,X2) ; U32(active(X1),X2) >= U32(X1,X2) ; U32(X1,mark(X2)) >= U32(X1,X2) ; U32(X1,active(X2)) >= U32(X1,X2) ; U31(mark(X1),X2,X3) >= U31(X1,X2,X3) ; U31(active(X1),X2,X3) >= U31(X1,X2,X3) ; U31(X1,mark(X2),X3) >= U31(X1,X2,X3) ; U31(X1,active(X2),X3) >= U31(X1,X2,X3) ; U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) ; U31(X1,X2,active(X3)) >= U31(X1,X2,X3) ; U33(mark(X)) >= U33(X) ; U33(active(X)) >= U33(X) ; U41(mark(X1),X2) >= U41(X1,X2) ; U41(active(X1),X2) >= U41(X1,X2) ; U41(X1,mark(X2)) >= U41(X1,X2) ; U41(X1,active(X2)) >= U41(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U51(mark(X1),X2,X3) >= U51(X1,X2,X3) ; U51(active(X1),X2,X3) >= U51(X1,X2,X3) ; U51(X1,mark(X2),X3) >= U51(X1,X2,X3) ; U51(X1,active(X2),X3) >= U51(X1,X2,X3) ; U51(X1,X2,mark(X3)) >= U51(X1,X2,X3) ; U51(X1,X2,active(X3)) >= U51(X1,X2,X3) ; U61(mark(X)) >= U61(X) ; U61(active(X)) >= U61(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U71(mark(X1),X2,X3) >= U71(X1,X2,X3) ; U71(active(X1),X2,X3) >= U71(X1,X2,X3) ; U71(X1,mark(X2),X3) >= U71(X1,X2,X3) ; U71(X1,active(X2),X3) >= U71(X1,X2,X3) ; U71(X1,X2,mark(X3)) >= U71(X1,X2,X3) ; U71(X1,X2,active(X3)) >= U71(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; Marked_U11(mark(X1),X2,X3) >= Marked_U11(X1,X2,X3) ; Marked_U11(active(X1),X2,X3) >= Marked_U11(X1,X2,X3) ; Marked_U11(X1,mark(X2),X3) >= Marked_U11(X1,X2,X3) ; Marked_U11(X1,active(X2),X3) >= Marked_U11(X1,X2,X3) ; Marked_U11(X1,X2,mark(X3)) >= Marked_U11(X1,X2,X3) ; Marked_U11(X1,X2,active(X3)) >= Marked_U11(X1,X2,X3) ; } + Disjunctions:{ { Marked_U11(mark(X1),X2,X3) > Marked_U11(X1,X2,X3) ; } { Marked_U11(active(X1),X2,X3) > Marked_U11(X1,X2,X3) ; } { Marked_U11(X1,mark(X2),X3) > Marked_U11(X1,X2,X3) ; } { Marked_U11(X1,active(X2),X3) > Marked_U11(X1,X2,X3) ; } { Marked_U11(X1,X2,mark(X3)) > Marked_U11(X1,X2,X3) ; } { Marked_U11(X1,X2,active(X3)) > Marked_U11(X1,X2,X3) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === Time out for these parameters. === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. === TIMER virtual : 50.000000 === trying sub matrices of size: 1 Matrix interpretation constraints generated. Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. Termination constraints generated. Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 50.000000 === === STOPING TIMER real === Sat timeout reached === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (ID_CRIT) NOT SOLVED No proof found Cime worked for 97.788629 seconds (real time) Cime Exit Status: 0