- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] active(zeros) -> mark(cons(0,zeros)) [2] active(U11(tt)) -> mark(tt) [3] active(U21(tt)) -> mark(tt) [4] active(U31(tt)) -> mark(tt) [5] active(U41(tt,V2)) -> mark(U42(isNatIList(V2))) [6] active(U42(tt)) -> mark(tt) [7] active(U51(tt,V2)) -> mark(U52(isNatList(V2))) [8] active(U52(tt)) -> mark(tt) [9] active(U61(tt,L,N)) -> mark(U62(isNat(N),L)) [10] active(U62(tt,L)) -> mark(s(length(L))) [11] active(isNat(0)) -> mark(tt) [12] active(isNat(length(V1))) -> mark(U11(isNatList(V1))) [13] active(isNat(s(V1))) -> mark(U21(isNat(V1))) [14] active(isNatIList(V)) -> mark(U31(isNatList(V))) [15] active(isNatIList(zeros)) -> mark(tt) [16] active(isNatIList(cons(V1,V2))) -> mark(U41(isNat(V1),V2)) [17] active(isNatList(nil)) -> mark(tt) [18] active(isNatList(cons(V1,V2))) -> mark(U51(isNat(V1),V2)) [19] active(length(nil)) -> mark(0) [20] active(length(cons(N,L))) -> mark(U61(isNatList(L),L,N)) [21] mark(zeros) -> active(zeros) [22] mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) [23] mark(0) -> active(0) [24] mark(U11(X)) -> active(U11(mark(X))) [25] mark(tt) -> active(tt) [26] mark(U21(X)) -> active(U21(mark(X))) [27] mark(U31(X)) -> active(U31(mark(X))) [28] mark(U41(X1,X2)) -> active(U41(mark(X1),X2)) [29] mark(U42(X)) -> active(U42(mark(X))) [30] mark(isNatIList(X)) -> active(isNatIList(X)) [31] mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) [32] mark(U52(X)) -> active(U52(mark(X))) [33] mark(isNatList(X)) -> active(isNatList(X)) [34] mark(U61(X1,X2,X3)) -> active(U61(mark(X1),X2,X3)) [35] mark(U62(X1,X2)) -> active(U62(mark(X1),X2)) [36] mark(isNat(X)) -> active(isNat(X)) [37] mark(s(X)) -> active(s(mark(X))) [38] mark(length(X)) -> active(length(mark(X))) [39] mark(nil) -> active(nil) [40] cons(mark(X1),X2) -> cons(X1,X2) [41] cons(X1,mark(X2)) -> cons(X1,X2) [42] cons(active(X1),X2) -> cons(X1,X2) [43] cons(X1,active(X2)) -> cons(X1,X2) [44] U11(mark(X)) -> U11(X) [45] U11(active(X)) -> U11(X) [46] U21(mark(X)) -> U21(X) [47] U21(active(X)) -> U21(X) [48] U31(mark(X)) -> U31(X) [49] U31(active(X)) -> U31(X) [50] U41(mark(X1),X2) -> U41(X1,X2) [51] U41(X1,mark(X2)) -> U41(X1,X2) [52] U41(active(X1),X2) -> U41(X1,X2) [53] U41(X1,active(X2)) -> U41(X1,X2) [54] U42(mark(X)) -> U42(X) [55] U42(active(X)) -> U42(X) [56] isNatIList(mark(X)) -> isNatIList(X) [57] isNatIList(active(X)) -> isNatIList(X) [58] U51(mark(X1),X2) -> U51(X1,X2) [59] U51(X1,mark(X2)) -> U51(X1,X2) [60] U51(active(X1),X2) -> U51(X1,X2) [61] U51(X1,active(X2)) -> U51(X1,X2) [62] U52(mark(X)) -> U52(X) [63] U52(active(X)) -> U52(X) [64] isNatList(mark(X)) -> isNatList(X) [65] isNatList(active(X)) -> isNatList(X) [66] U61(mark(X1),X2,X3) -> U61(X1,X2,X3) [67] U61(X1,mark(X2),X3) -> U61(X1,X2,X3) [68] U61(X1,X2,mark(X3)) -> U61(X1,X2,X3) [69] U61(active(X1),X2,X3) -> U61(X1,X2,X3) [70] U61(X1,active(X2),X3) -> U61(X1,X2,X3) [71] U61(X1,X2,active(X3)) -> U61(X1,X2,X3) [72] U62(mark(X1),X2) -> U62(X1,X2) [73] U62(X1,mark(X2)) -> U62(X1,X2) [74] U62(active(X1),X2) -> U62(X1,X2) [75] U62(X1,active(X2)) -> U62(X1,X2) [76] isNat(mark(X)) -> isNat(X) [77] isNat(active(X)) -> isNat(X) [78] s(mark(X)) -> s(X) [79] s(active(X)) -> s(X) [80] length(mark(X)) -> length(X) [81] length(active(X)) -> length(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 16 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U21(X)) >= Marked_active(U21(mark(X))) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_active(U31(mark(X))) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(cons(X1,X2)) > Marked_active(cons(mark(X1),X2)) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U11(X)) > Marked_active(U11(mark(X))) ; } { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U21(X)) > Marked_active(U21(mark(X))) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_active(U31(mark(X))) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_active(U42(mark(X))) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U52(X)) > Marked_active(U52(mark(X))) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatList(V))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatList(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U21(X)) >= Marked_active(U21(mark(X))) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_active(U31(mark(X))) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(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(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Subterm criterion) ST: Marked_cons -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U11 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U21 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U31 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U41 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U42 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_isNatIList -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U51 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U52 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_isNatList -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U61 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_U62 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_isNat -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_s -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_length -> 1 APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U21(X)) >= Marked_active(U21(mark(X))) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_active(U31(mark(X))) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U11(X)) > Marked_active(U11(mark(X))) ; } { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U21(X)) > Marked_active(U21(mark(X))) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_active(U31(mark(X))) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_active(U42(mark(X))) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U52(X)) > Marked_active(U52(mark(X))) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatList(V))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatList(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U21(X)) >= Marked_active(U21(mark(X))) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_active(U31(mark(X))) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(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(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_active(U31(mark(X))) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U11(X)) > Marked_active(U11(mark(X))) ; } { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_active(U31(mark(X))) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_active(U42(mark(X))) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U52(X)) > Marked_active(U52(mark(X))) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatList(V))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatList(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_active(U31(mark(X))) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(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(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U11(X)) > Marked_active(U11(mark(X))) ; } { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_active(U42(mark(X))) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(U52(X)) > Marked_active(U52(mark(X))) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatList(V))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatList(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(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(U52(X)) >= Marked_mark(X) constraint: Marked_mark(U52(X)) >= Marked_active(U52(mark(X))) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatList(V))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatList(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(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(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zeros) >= Marked_active(zeros) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zeros) > Marked_active(zeros) ; } { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatList(V))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatList(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zeros) >= Marked_active(zeros) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(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(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(zeros) >= Marked_mark(cons(0,zeros)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(zeros) > Marked_mark(cons(0,zeros)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatList(V))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatList(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(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(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(zeros) >= Marked_mark(cons(0,zeros)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatList(V))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatList(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(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(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatList(V))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(isNat(length(V1))) > Marked_mark(U11(isNatList(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(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(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(isNat(length(V1))) >= Marked_mark(U11(isNatList(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatIList(V)) > Marked_mark(U31(isNatList(V))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(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(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatIList(V)) >= Marked_mark(U31(isNatList(V))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(U62(tt,L)) > Marked_mark(s(length(L))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(U62(tt,L)) >= Marked_mark(s(length(L))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(U62(X1,X2)) > Marked_active(U62(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(U62(X1,X2)) >= Marked_active(U62(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L),L,N)) ; } + Disjunctions:{ { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),L)) ; } { Marked_active(length(cons(N,L))) > Marked_mark(U61(isNatList(L),L,N)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) constraint: Marked_active(length(cons(N,L))) >= Marked_mark(U61(isNatList(L), L,N)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(length(X)) >= Marked_active(length(mark(X))) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; } + Disjunctions:{ { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(length(X)) > Marked_active(length(mark(X))) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(length(X)) >= Marked_active(length(mark(X))) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) ; } + Disjunctions:{ { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNat(V1))) ; } { Marked_active(U61(tt,L,N)) > Marked_mark(U62(isNat(N),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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) constraint: Marked_active(U61(tt,L,N)) >= Marked_mark(U62(isNat(N),L)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; } + Disjunctions:{ { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U61(X1,X2,X3)) > Marked_active(U61(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U61(X1,X2,X3)) >= Marked_active(U61(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) ; } + Disjunctions:{ { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(V2))) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(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: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNat(V1))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; } + Disjunctions:{ { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(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(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U21(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; } + Disjunctions:{ { Marked_mark(U21(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(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(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U21(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; } + Disjunctions:{ { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatIList(V2))) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(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 === 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 solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatIList(V2))) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; } + Disjunctions:{ { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(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(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; } + Disjunctions:{ { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(isNatIList(X)) > Marked_active(isNatIList(X)) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(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 === 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 solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(isNatIList(X)) >= Marked_active(isNatIList(X)) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41(isNat(V1),V2)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; } + Disjunctions:{ { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_active(isNatIList(cons(V1,V2))) > Marked_mark(U41(isNat(V1),V2)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(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(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_active(isNatIList(cons(V1,V2))) >= Marked_mark(U41( isNat(V1), V2)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; } + Disjunctions:{ { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(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 === 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 solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) ; } + Disjunctions:{ { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } { Marked_active(U51(tt,V2)) > Marked_mark(U52(isNatList(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 === 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 solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) constraint: Marked_active(U51(tt,V2)) >= Marked_mark(U52(isNatList(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; } + Disjunctions:{ { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_mark(U51(X1,X2)) > Marked_active(U51(mark(X1),X2)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_mark(U51(X1,X2)) >= Marked_active(U51(mark(X1),X2)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(0) >= active(0) ; mark(zeros) >= active(zeros) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(U21(X)) >= active(U21(mark(X))) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(isNatIList(X)) >= active(isNatIList(X)) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U52(X)) >= active(U52(mark(X))) ; mark(isNatList(X)) >= active(isNatList(X)) ; mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) ; mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(length(X)) >= active(length(mark(X))) ; mark(nil) >= active(nil) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; active(zeros) >= mark(cons(0,zeros)) ; active(U11(tt)) >= mark(tt) ; active(U21(tt)) >= mark(tt) ; active(U31(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) ; active(isNatIList(zeros)) >= mark(tt) ; active(isNatIList(V)) >= mark(U31(isNatList(V))) ; active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) ; active(U52(tt)) >= mark(tt) ; active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) ; active(isNatList(nil)) >= mark(tt) ; active(U51(tt,V2)) >= mark(U52(isNatList(V2))) ; active(U62(tt,L)) >= mark(s(length(L))) ; active(isNat(0)) >= mark(tt) ; active(isNat(s(V1))) >= mark(U21(isNat(V1))) ; active(isNat(length(V1))) >= mark(U11(isNatList(V1))) ; active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) ; active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) ; active(length(nil)) >= mark(0) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; U21(mark(X)) >= U21(X) ; U21(active(X)) >= U21(X) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; isNatIList(mark(X)) >= isNatIList(X) ; isNatIList(active(X)) >= isNatIList(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) ; U52(mark(X)) >= U52(X) ; U52(active(X)) >= U52(X) ; isNatList(mark(X)) >= isNatList(X) ; isNatList(active(X)) >= isNatList(X) ; U51(mark(X1),X2) >= U51(X1,X2) ; U51(active(X1),X2) >= U51(X1,X2) ; U51(X1,mark(X2)) >= U51(X1,X2) ; U51(X1,active(X2)) >= U51(X1,X2) ; U62(mark(X1),X2) >= U62(X1,X2) ; U62(active(X1),X2) >= U62(X1,X2) ; U62(X1,mark(X2)) >= U62(X1,X2) ; U62(X1,active(X2)) >= U62(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U61(mark(X1),X2,X3) >= U61(X1,X2,X3) ; U61(active(X1),X2,X3) >= U61(X1,X2,X3) ; U61(X1,mark(X2),X3) >= U61(X1,X2,X3) ; U61(X1,active(X2),X3) >= U61(X1,X2,X3) ; U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) ; U61(X1,X2,active(X3)) >= U61(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; length(mark(X)) >= length(X) ; length(active(X)) >= length(X) ; Marked_mark(U52(X)) >= Marked_mark(X) ; Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) ; Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51(isNat(V1),V2)) ; } + Disjunctions:{ { Marked_mark(U52(X)) > Marked_mark(X) ; } { Marked_mark(isNatList(X)) > Marked_active(isNatList(X)) ; } { Marked_active(isNatList(cons(V1,V2))) > Marked_mark(U51(isNat(V1),V2)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === 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 solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: mark(zeros) >= active(zeros) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(U21(X)) >= active(U21(mark(X))) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(isNatIList(X)) >= active(isNatIList(X)) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U52(X)) >= active(U52(mark(X))) constraint: mark(isNatList(X)) >= active(isNatList(X)) constraint: mark(U51(X1,X2)) >= active(U51(mark(X1),X2)) constraint: mark(U62(X1,X2)) >= active(U62(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U61(X1,X2,X3)) >= active(U61(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(length(X)) >= active(length(mark(X))) constraint: mark(nil) >= active(nil) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: active(zeros) >= mark(cons(0,zeros)) constraint: active(U11(tt)) >= mark(tt) constraint: active(U21(tt)) >= mark(tt) constraint: active(U31(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(isNatIList(cons(V1,V2))) >= mark(U41(isNat(V1),V2)) constraint: active(isNatIList(zeros)) >= mark(tt) constraint: active(isNatIList(V)) >= mark(U31(isNatList(V))) constraint: active(U41(tt,V2)) >= mark(U42(isNatIList(V2))) constraint: active(U52(tt)) >= mark(tt) constraint: active(isNatList(cons(V1,V2))) >= mark(U51(isNat(V1),V2)) constraint: active(isNatList(nil)) >= mark(tt) constraint: active(U51(tt,V2)) >= mark(U52(isNatList(V2))) constraint: active(U62(tt,L)) >= mark(s(length(L))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(s(V1))) >= mark(U21(isNat(V1))) constraint: active(isNat(length(V1))) >= mark(U11(isNatList(V1))) constraint: active(U61(tt,L,N)) >= mark(U62(isNat(N),L)) constraint: active(length(cons(N,L))) >= mark(U61(isNatList(L),L,N)) constraint: active(length(nil)) >= mark(0) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: U21(mark(X)) >= U21(X) constraint: U21(active(X)) >= U21(X) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: isNatIList(mark(X)) >= isNatIList(X) constraint: isNatIList(active(X)) >= isNatIList(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: U52(mark(X)) >= U52(X) constraint: U52(active(X)) >= U52(X) constraint: isNatList(mark(X)) >= isNatList(X) constraint: isNatList(active(X)) >= isNatList(X) constraint: U51(mark(X1),X2) >= U51(X1,X2) constraint: U51(active(X1),X2) >= U51(X1,X2) constraint: U51(X1,mark(X2)) >= U51(X1,X2) constraint: U51(X1,active(X2)) >= U51(X1,X2) constraint: U62(mark(X1),X2) >= U62(X1,X2) constraint: U62(active(X1),X2) >= U62(X1,X2) constraint: U62(X1,mark(X2)) >= U62(X1,X2) constraint: U62(X1,active(X2)) >= U62(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U61(mark(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(active(X1),X2,X3) >= U61(X1,X2,X3) constraint: U61(X1,mark(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,active(X2),X3) >= U61(X1,X2,X3) constraint: U61(X1,X2,mark(X3)) >= U61(X1,X2,X3) constraint: U61(X1,X2,active(X3)) >= U61(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: length(mark(X)) >= length(X) constraint: length(active(X)) >= length(X) constraint: Marked_mark(U52(X)) >= Marked_mark(X) constraint: Marked_mark(isNatList(X)) >= Marked_active(isNatList(X)) constraint: Marked_active(isNatList(cons(V1,V2))) >= Marked_mark(U51( isNat(V1), V2)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Subterm criterion) ST: Marked_mark -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_cons -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_U41 -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_U51 -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_U61 -> 2 APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_U61 -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_U62 -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] active(zeros) -> mark(cons(0,zeros)) [2] active(U11(tt)) -> mark(tt) [3] active(U21(tt)) -> mark(tt) [4] active(U31(tt)) -> mark(tt) [5] active(U41(tt,V2)) -> mark(U42(isNatIList(V2))) [6] active(U42(tt)) -> mark(tt) [7] active(U51(tt,V2)) -> mark(U52(isNatList(V2))) [8] active(U52(tt)) -> mark(tt) [9] active(U61(tt,L,N)) -> mark(U62(isNat(N),L)) [10] active(U62(tt,L)) -> mark(s(length(L))) [11] active(isNat(0)) -> mark(tt) [12] active(isNat(length(V1))) -> mark(U11(isNatList(V1))) [13] active(isNat(s(V1))) -> mark(U21(isNat(V1))) [14] active(isNatIList(V)) -> mark(U31(isNatList(V))) [15] active(isNatIList(zeros)) -> mark(tt) [16] active(isNatIList(cons(V1,V2))) -> mark(U41(isNat(V1),V2)) [17] active(isNatList(nil)) -> mark(tt) [18] active(isNatList(cons(V1,V2))) -> mark(U51(isNat(V1),V2)) [19] active(length(nil)) -> mark(0) [20] active(length(cons(N,L))) -> mark(U61(isNatList(L),L,N)) [21] mark(zeros) -> active(zeros) [22] mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) [23] mark(0) -> active(0) [24] mark(U11(X)) -> active(U11(mark(X))) [25] mark(tt) -> active(tt) [26] mark(U21(X)) -> active(U21(mark(X))) [27] mark(U31(X)) -> active(U31(mark(X))) [28] mark(U41(X1,X2)) -> active(U41(mark(X1),X2)) [29] mark(U42(X)) -> active(U42(mark(X))) [30] mark(isNatIList(X)) -> active(isNatIList(X)) [31] mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) [32] mark(U52(X)) -> active(U52(mark(X))) [33] mark(isNatList(X)) -> active(isNatList(X)) [34] mark(U61(X1,X2,X3)) -> active(U61(mark(X1),X2,X3)) [35] mark(U62(X1,X2)) -> active(U62(mark(X1),X2)) [36] mark(isNat(X)) -> active(isNat(X)) [37] mark(s(X)) -> active(s(mark(X))) [38] mark(length(X)) -> active(length(mark(X))) [39] mark(nil) -> active(nil) [40] cons(mark(X1),X2) -> cons(X1,X2) [41] cons(X1,mark(X2)) -> cons(X1,X2) [42] cons(active(X1),X2) -> cons(X1,X2) [43] cons(X1,active(X2)) -> cons(X1,X2) [44] U11(mark(X)) -> U11(X) [45] U11(active(X)) -> U11(X) [46] U21(mark(X)) -> U21(X) [47] U21(active(X)) -> U21(X) [48] U31(mark(X)) -> U31(X) [49] U31(active(X)) -> U31(X) [50] U41(mark(X1),X2) -> U41(X1,X2) [51] U41(X1,mark(X2)) -> U41(X1,X2) [52] U41(active(X1),X2) -> U41(X1,X2) [53] U41(X1,active(X2)) -> U41(X1,X2) [54] U42(mark(X)) -> U42(X) [55] U42(active(X)) -> U42(X) [56] isNatIList(mark(X)) -> isNatIList(X) [57] isNatIList(active(X)) -> isNatIList(X) [58] U51(mark(X1),X2) -> U51(X1,X2) [59] U51(X1,mark(X2)) -> U51(X1,X2) [60] U51(active(X1),X2) -> U51(X1,X2) [61] U51(X1,active(X2)) -> U51(X1,X2) [62] U52(mark(X)) -> U52(X) [63] U52(active(X)) -> U52(X) [64] isNatList(mark(X)) -> isNatList(X) [65] isNatList(active(X)) -> isNatList(X) [66] U61(mark(X1),X2,X3) -> U61(X1,X2,X3) [67] U61(X1,mark(X2),X3) -> U61(X1,X2,X3) [68] U61(X1,X2,mark(X3)) -> U61(X1,X2,X3) [69] U61(active(X1),X2,X3) -> U61(X1,X2,X3) [70] U61(X1,active(X2),X3) -> U61(X1,X2,X3) [71] U61(X1,X2,active(X3)) -> U61(X1,X2,X3) [72] U62(mark(X1),X2) -> U62(X1,X2) [73] U62(X1,mark(X2)) -> U62(X1,X2) [74] U62(active(X1),X2) -> U62(X1,X2) [75] U62(X1,active(X2)) -> U62(X1,X2) [76] isNat(mark(X)) -> isNat(X) [77] isNat(active(X)) -> isNat(X) [78] s(mark(X)) -> s(X) [79] s(active(X)) -> s(X) [80] length(mark(X)) -> length(X) [81] length(active(X)) -> length(X) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ isNat ] (X0) = 1; [ U31 ] (X0) = 1; [ active ] (X0) = 0; [ Marked_mark ] (X0) = 2; [ nil ] () = 0; [ U52 ] (X0) = 1; [ 0 ] () = 0; [ s ] (X0) = 1; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 1; [ U51 ] (X0,X1) = 1; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 1; [ U42 ] (X0) = 1; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 1; [ zeros ] () = 1; [ length ] (X0) = 1; [ U41 ] (X0,X1) = 1; [ U21 ] (X0) = 1; [ U62 ] (X0,X1) = 1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ isNat ] (X0) = 2; [ U31 ] (X0) = 2; [ active ] (X0) = 0; [ Marked_mark ] (X0) = 2; [ nil ] () = 0; [ U52 ] (X0) = 2; [ 0 ] () = 0; [ s ] (X0) = 0; [ isNatIList ] (X0) = 2; [ U11 ] (X0) = 2; [ U51 ] (X0,X1) = 2; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 2; [ U42 ] (X0) = 2; [ tt ] () = 0; [ Marked_active ] (X0) = 1*X0; [ isNatList ] (X0) = 2; [ zeros ] () = 2; [ length ] (X0) = 2; [ U41 ] (X0,X1) = 2; [ U21 ] (X0) = 0; [ U62 ] (X0,X1) = 2; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ isNat ] (X0) = 2; [ U31 ] (X0) = 0; [ active ] (X0) = 0; [ Marked_mark ] (X0) = 2; [ nil ] () = 0; [ U52 ] (X0) = 2; [ 0 ] () = 0; [ s ] (X0) = 0; [ isNatIList ] (X0) = 2; [ U11 ] (X0) = 2; [ U51 ] (X0,X1) = 2; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 2; [ U42 ] (X0) = 2; [ tt ] () = 0; [ Marked_active ] (X0) = 1*X0; [ isNatList ] (X0) = 2; [ zeros ] () = 2; [ length ] (X0) = 2; [ U41 ] (X0,X1) = 2; [ U21 ] (X0) = 0; [ U62 ] (X0,X1) = 2; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ isNat ] (X0) = 1; [ U31 ] (X0) = 0; [ active ] (X0) = 0; [ Marked_mark ] (X0) = 2; [ nil ] () = 0; [ U52 ] (X0) = 0; [ 0 ] () = 0; [ s ] (X0) = 0; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 0; [ U51 ] (X0,X1) = 1; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 1; [ U42 ] (X0) = 0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 1; [ zeros ] () = 1; [ length ] (X0) = 1; [ U41 ] (X0,X1) = 1; [ U21 ] (X0) = 0; [ U62 ] (X0,X1) = 1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ isNat ] (X0) = 0; [ U31 ] (X0) = 1*X0; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 0; [ U52 ] (X0) = 1*X0; [ 0 ] () = 0; [ s ] (X0) = 1*X0; [ isNatIList ] (X0) = 0; [ U11 ] (X0) = 1*X0; [ U51 ] (X0,X1) = 2*X0; [ cons ] (X0,X1) = 2*X1 + 1*X0; [ U61 ] (X0,X1,X2) = 1*X2 + 3*X1 + 2*X0 + 1; [ U42 ] (X0) = 2*X0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 0; [ zeros ] () = 0; [ length ] (X0) = 2*X0 + 1; [ U41 ] (X0,X1) = 2*X0; [ U21 ] (X0) = 2*X0; [ U62 ] (X0,X1) = 3*X1 + 2*X0 + 1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 2*X0; [ isNat ] (X0) = 0; [ U31 ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 0; [ U52 ] (X0) = 2*X0; [ 0 ] () = 0; [ s ] (X0) = 1*X0; [ isNatIList ] (X0) = 0; [ U11 ] (X0) = 2*X0; [ U51 ] (X0,X1) = 2*X0; [ cons ] (X0,X1) = 1*X0; [ U61 ] (X0,X1,X2) = 0; [ U42 ] (X0) = 2*X0; [ tt ] () = 0; [ Marked_active ] (X0) = 0; [ isNatList ] (X0) = 0; [ zeros ] () = 1; [ length ] (X0) = 0; [ U41 ] (X0,X1) = 2*X0; [ U21 ] (X0) = 1*X0; [ U62 ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ isNat ] (X0) = 0; [ U31 ] (X0) = 0; [ active ] (X0) = 0; [ Marked_mark ] (X0) = 0; [ nil ] () = 0; [ U52 ] (X0) = 0; [ 0 ] () = 0; [ s ] (X0) = 0; [ isNatIList ] (X0) = 0; [ U11 ] (X0) = 0; [ U51 ] (X0,X1) = 0; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 0; [ U42 ] (X0) = 0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 0; [ zeros ] () = 2; [ length ] (X0) = 0; [ U41 ] (X0,X1) = 0; [ U21 ] (X0) = 0; [ U62 ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 2*X0; [ isNat ] (X0) = 0; [ U31 ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 0; [ U52 ] (X0) = 1*X0; [ 0 ] () = 0; [ s ] (X0) = 2*X0; [ isNatIList ] (X0) = 0; [ U11 ] (X0) = 1*X0; [ U51 ] (X0,X1) = 1*X0; [ cons ] (X0,X1) = 1*X0 + 1; [ U61 ] (X0,X1,X2) = 0; [ U42 ] (X0) = 1*X0; [ tt ] () = 0; [ Marked_active ] (X0) = 0; [ isNatList ] (X0) = 0; [ zeros ] () = 2; [ length ] (X0) = 0; [ U41 ] (X0,X1) = 1*X0; [ U21 ] (X0) = 2*X0; [ U62 ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ isNat ] (X0) = 1*X0; [ U31 ] (X0) = 1*X0; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 0; [ U52 ] (X0) = 1*X0; [ 0 ] () = 0; [ s ] (X0) = 1*X0; [ isNatIList ] (X0) = 2*X0; [ U11 ] (X0) = 1*X0; [ U51 ] (X0,X1) = 2*X1 + 2*X0; [ cons ] (X0,X1) = 2*X1 + 2*X0; [ U61 ] (X0,X1,X2) = 2*X1 + 1*X0 + 1; [ U42 ] (X0) = 1*X0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 2*X0; [ zeros ] () = 0; [ length ] (X0) = 2*X0 + 1; [ U41 ] (X0,X1) = 3*X1 + 2*X0; [ U21 ] (X0) = 1*X0; [ U62 ] (X0,X1) = 2*X1 + 1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ isNat ] (X0) = 0; [ U31 ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 0; [ U52 ] (X0) = 2*X0; [ 0 ] () = 0; [ s ] (X0) = 2*X0; [ isNatIList ] (X0) = 2; [ U11 ] (X0) = 1*X0; [ U51 ] (X0,X1) = 2*X0; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 0; [ U42 ] (X0) = 1*X0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 0; [ zeros ] () = 0; [ length ] (X0) = 0; [ U41 ] (X0,X1) = 1*X0 + 2; [ U21 ] (X0) = 2*X0; [ U62 ] (X0,X1) = 0; removing < Marked_mark(U41(X1,X2)),Marked_mark(X1)> [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ isNat ] (X0) = 0; [ U31 ] (X0) = 2*X0 + 1; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 0; [ U52 ] (X0) = 2*X0; [ 0 ] () = 0; [ s ] (X0) = 2*X0; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 1*X0; [ U51 ] (X0,X1) = 2*X0; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 0; [ U42 ] (X0) = 1*X0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 0; [ zeros ] () = 0; [ length ] (X0) = 0; [ U41 ] (X0,X1) = 1; [ U21 ] (X0) = 1*X0; [ U62 ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ isNat ] (X0) = 1*X0; [ U31 ] (X0) = 0; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 1; [ U52 ] (X0) = 1*X0; [ 0 ] () = 0; [ s ] (X0) = 1*X0; [ isNatIList ] (X0) = 0; [ U11 ] (X0) = 1*X0 + 1; [ U51 ] (X0,X1) = 1*X1 + 2*X0; [ cons ] (X0,X1) = 2*X1 + 2*X0; [ U61 ] (X0,X1,X2) = 1*X1 + 2; [ U42 ] (X0) = 1*X0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 1*X0; [ zeros ] () = 0; [ length ] (X0) = 1*X0 + 2; [ U41 ] (X0,X1) = 0; [ U21 ] (X0) = 1*X0; [ U62 ] (X0,X1) = 1*X1 + 2; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ isNat ] (X0) = 0; [ U31 ] (X0) = 0; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 0; [ U52 ] (X0) = 1*X0; [ 0 ] () = 0; [ s ] (X0) = 2*X0; [ isNatIList ] (X0) = 0; [ U11 ] (X0) = 0; [ U51 ] (X0,X1) = 2*X0 + 1; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 0; [ U42 ] (X0) = 2*X0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 1; [ zeros ] () = 0; [ length ] (X0) = 0; [ U41 ] (X0,X1) = 0; [ U21 ] (X0) = 2*X0; [ U62 ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ isNat ] (X0) = 2*X0; [ U31 ] (X0) = 1; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 2; [ U52 ] (X0) = 1*X0; [ 0 ] () = 2; [ s ] (X0) = 1*X0; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 2*X0; [ U51 ] (X0,X1) = 1*X1; [ cons ] (X0,X1) = 2*X1; [ U61 ] (X0,X1,X2) = 3*X1 + 1*X0; [ U42 ] (X0) = 1*X0; [ tt ] () = 1; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 1*X0; [ zeros ] () = 0; [ length ] (X0) = 2*X0; [ U41 ] (X0,X1) = 1; [ U21 ] (X0) = 1*X0; [ U62 ] (X0,X1) = 3*X1 + 1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ isNat ] (X0) = 1; [ U31 ] (X0) = 0; [ active ] (X0) = 0; [ Marked_mark ] (X0) = 1; [ nil ] () = 0; [ U52 ] (X0) = 0; [ 0 ] () = 0; [ s ] (X0) = 0; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 0; [ U51 ] (X0,X1) = 1; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 1; [ U42 ] (X0) = 0; [ tt ] () = 0; [ Marked_active ] (X0) = 1*X0; [ isNatList ] (X0) = 1; [ zeros ] () = 0; [ length ] (X0) = 1; [ U41 ] (X0,X1) = 1; [ U21 ] (X0) = 0; [ U62 ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ isNat ] (X0) = 2; [ U31 ] (X0) = 2; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 1; [ U52 ] (X0) = 1*X0; [ 0 ] () = 0; [ s ] (X0) = 1*X0; [ isNatIList ] (X0) = 2; [ U11 ] (X0) = 2; [ U51 ] (X0,X1) = 2*X1; [ cons ] (X0,X1) = 2*X1; [ U61 ] (X0,X1,X2) = 2*X1 + 1*X0; [ U42 ] (X0) = 1*X0; [ tt ] () = 2; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 2*X0; [ zeros ] () = 0; [ length ] (X0) = 2*X0 + 1; [ U41 ] (X0,X1) = 2; [ U21 ] (X0) = 1*X0; [ U62 ] (X0,X1) = 2*X1 + 2; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ isNat ] (X0) = 1; [ U31 ] (X0) = 0; [ active ] (X0) = 0; [ Marked_mark ] (X0) = 2; [ nil ] () = 0; [ U52 ] (X0) = 0; [ 0 ] () = 0; [ s ] (X0) = 0; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 0; [ U51 ] (X0,X1) = 1; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 1; [ U42 ] (X0) = 0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 1; [ zeros ] () = 0; [ length ] (X0) = 0; [ U41 ] (X0,X1) = 1; [ U21 ] (X0) = 0; [ U62 ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ isNat ] (X0) = 2*X0; [ U31 ] (X0) = 1; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 2; [ U52 ] (X0) = 1*X0; [ 0 ] () = 2; [ s ] (X0) = 1*X0; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 1*X0; [ U51 ] (X0,X1) = 1*X1; [ cons ] (X0,X1) = 2*X1; [ U61 ] (X0,X1,X2) = 1*X1 + 1*X0; [ U42 ] (X0) = 1*X0; [ tt ] () = 1; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 1*X0; [ zeros ] () = 0; [ length ] (X0) = 1*X0; [ U41 ] (X0,X1) = 1; [ U21 ] (X0) = 1*X0; [ U62 ] (X0,X1) = 1*X1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ isNat ] (X0) = 1; [ U31 ] (X0) = 0; [ active ] (X0) = 0; [ Marked_mark ] (X0) = 2; [ nil ] () = 0; [ U52 ] (X0) = 0; [ 0 ] () = 0; [ s ] (X0) = 0; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 0; [ U51 ] (X0,X1) = 1; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 0; [ U42 ] (X0) = 0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 1; [ zeros ] () = 0; [ length ] (X0) = 0; [ U41 ] (X0,X1) = 1; [ U21 ] (X0) = 0; [ U62 ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ isNat ] (X0) = 2*X0; [ U31 ] (X0) = 1; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 2; [ U52 ] (X0) = 1*X0; [ 0 ] () = 2; [ s ] (X0) = 2*X0 + 1; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 1*X0; [ U51 ] (X0,X1) = 1*X1; [ cons ] (X0,X1) = 3*X1; [ U61 ] (X0,X1,X2) = 2*X1 + 1*X0; [ U42 ] (X0) = 1*X0; [ tt ] () = 1; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 1*X0; [ zeros ] () = 0; [ length ] (X0) = 1*X0; [ U41 ] (X0,X1) = 1; [ U21 ] (X0) = 2*X0; [ U62 ] (X0,X1) = 2*X1 + 1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ isNat ] (X0) = 0; [ U31 ] (X0) = 0; [ active ] (X0) = 0; [ Marked_mark ] (X0) = 2; [ nil ] () = 0; [ U52 ] (X0) = 0; [ 0 ] () = 0; [ s ] (X0) = 0; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 0; [ U51 ] (X0,X1) = 1; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 0; [ U42 ] (X0) = 0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 1; [ zeros ] () = 0; [ length ] (X0) = 0; [ U41 ] (X0,X1) = 1; [ U21 ] (X0) = 0; [ U62 ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ isNat ] (X0) = 1*X0; [ U31 ] (X0) = 1; [ active ] (X0) = 1*X0; [ Marked_mark ] (X0) = 2*X0; [ nil ] () = 1; [ U52 ] (X0) = 1*X0; [ 0 ] () = 2; [ s ] (X0) = 1*X0 + 1; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 1*X0; [ U51 ] (X0,X1) = 2*X1; [ cons ] (X0,X1) = 3*X1; [ U61 ] (X0,X1,X2) = 3*X1 + 1*X0; [ U42 ] (X0) = 1*X0; [ tt ] () = 1; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 2*X0; [ zeros ] () = 0; [ length ] (X0) = 3*X0; [ U41 ] (X0,X1) = 1; [ U21 ] (X0) = 1*X0 + 1; [ U62 ] (X0,X1) = 3*X1 + 1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using Matrix polynomial interpretation (strict sub matrices size: 1x1) = [ mark ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNat ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U31 ] (X0) = [ [ 1 , 0 , 1 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ active ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ Marked_mark ] (X0) = [ [ 0 , 0 , 1 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ nil ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ U52 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ 0 ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ s ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNatIList ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U11 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U51 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] [ 0 , 0 , 1 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ cons ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 1 , 0 ] ]; [ U61 ] (X0,X1,X2) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X2 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U42 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ tt ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ Marked_active ] (X0) = [ [ 0 , 1 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNatList ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ zeros ] () = [ [ 1 , 1 , 0 ] [ 0 , 0 , 0 ] [ 1 , 1 , 0 ] ]; [ length ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ U41 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] [ 0 , 0 , 1 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 1 , 0 ] ]; [ U21 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U62 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ isNat ] (X0) = 0; [ U31 ] (X0) = 0; [ active ] (X0) = 0; [ Marked_mark ] (X0) = 2; [ nil ] () = 0; [ U52 ] (X0) = 0; [ 0 ] () = 0; [ s ] (X0) = 0; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 0; [ U51 ] (X0,X1) = 1; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 0; [ U42 ] (X0) = 0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 1; [ zeros ] () = 0; [ length ] (X0) = 0; [ U41 ] (X0,X1) = 0; [ U21 ] (X0) = 0; [ U62 ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using Matrix polynomial interpretation (strict sub matrices size: 1x1) = [ mark ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNat ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U31 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ active ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ Marked_mark ] (X0) = [ [ 0 , 0 , 1 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ nil ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U52 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ 0 ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ s ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNatIList ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ U11 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U51 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ cons ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U61 ] (X0,X1,X2) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X2 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U42 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ tt ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ Marked_active ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNatList ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ zeros ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ length ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U41 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U21 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U62 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ isNat ] (X0) = 0; [ U31 ] (X0) = 0; [ active ] (X0) = 0; [ Marked_mark ] (X0) = 0; [ nil ] () = 0; [ U52 ] (X0) = 0; [ 0 ] () = 0; [ s ] (X0) = 0; [ isNatIList ] (X0) = 1; [ U11 ] (X0) = 0; [ U51 ] (X0,X1) = 0; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 0; [ U42 ] (X0) = 0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ isNatList ] (X0) = 0; [ zeros ] () = 0; [ length ] (X0) = 0; [ U41 ] (X0,X1) = 0; [ U21 ] (X0) = 0; [ U62 ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using Matrix polynomial interpretation (strict sub matrices size: 1x1) = [ mark ] (X0) = [ [ 1 , 0 , 1 ] [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNat ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U31 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ active ] (X0) = [ [ 1 , 1 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ Marked_mark ] (X0) = [ [ 0 , 0 , 1 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ nil ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U52 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ 0 ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ s ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ isNatIList ] (X0) = [ [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] [ 1 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U11 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U51 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ cons ] (X0,X1) = [ [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U61 ] (X0,X1,X2) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X2 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 1 , 0 , 0 ] [ 1 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ U42 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ tt ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ Marked_active ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNatList ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ zeros ] () = [ [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ length ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 1 , 0 , 0 ] [ 1 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ U41 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] [ 1 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ U21 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U62 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 1 , 0 , 0 ] [ 1 , 0 , 0 ] [ 1 , 0 , 0 ] ]; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using Matrix polynomial interpretation (strict sub matrices size: 1x1) = [ mark ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 1 , 1 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNat ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U31 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ active ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 1 , 1 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ Marked_mark ] (X0) = [ [ 0 , 0 , 1 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ nil ] () = [ [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U52 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ 0 ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ s ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ isNatIList ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 1 , 1 ] [ 0 , 1 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U11 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ U51 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 1 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ cons ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 1 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U61 ] (X0,X1,X2) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X2 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ U42 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ tt ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ Marked_active ] (X0) = [ [ 0 , 0 , 1 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNatList ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 1 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ zeros ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ length ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ U41 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U21 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ U62 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ isNat ] (X0) = 0; [ U31 ] (X0) = 0; [ active ] (X0) = 0; [ Marked_mark ] (X0) = 1; [ nil ] () = 0; [ U52 ] (X0) = 0; [ 0 ] () = 0; [ s ] (X0) = 0; [ isNatIList ] (X0) = 0; [ U11 ] (X0) = 0; [ U51 ] (X0,X1) = 0; [ cons ] (X0,X1) = 0; [ U61 ] (X0,X1,X2) = 0; [ U42 ] (X0) = 0; [ tt ] () = 0; [ Marked_active ] (X0) = 1*X0; [ isNatList ] (X0) = 1; [ zeros ] () = 0; [ length ] (X0) = 0; [ U41 ] (X0,X1) = 0; [ U21 ] (X0) = 0; [ U62 ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using Matrix polynomial interpretation (strict sub matrices size: 1x1) = [ mark ] (X0) = [ [ 1 , 1 , 1 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNat ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U31 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ active ] (X0) = [ [ 1 , 1 , 1 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ Marked_mark ] (X0) = [ [ 1 , 1 , 0 ] [ 0 , 0 , 0 ] [ 1 , 1 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ nil ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U52 ] (X0) = [ [ 1 , 1 , 1 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ 0 ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ s ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNatIList ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 1 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U11 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U51 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ cons ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U61 ] (X0,X1,X2) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X2 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U42 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ tt ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ Marked_active ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ isNatList ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ zeros ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ length ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U41 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U21 ] (X0) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ U62 ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} Cime worked for 170.808550 seconds (real time) Cime Exit Status: 0