- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] active(U11(tt,N)) -> mark(N) [2] active(U21(tt,M,N)) -> mark(s(plus(N,M))) [3] active(U31(tt)) -> mark(0) [4] active(U41(tt,M,N)) -> mark(plus(x(N,M),N)) [5] active(and(tt,X)) -> mark(X) [6] active(isNat(0)) -> mark(tt) [7] active(isNat(plus(V1,V2))) -> mark(and(isNat(V1),isNat(V2))) [8] active(isNat(s(V1))) -> mark(isNat(V1)) [9] active(isNat(x(V1,V2))) -> mark(and(isNat(V1),isNat(V2))) [10] active(plus(N,0)) -> mark(U11(isNat(N),N)) [11] active(plus(N,s(M))) -> mark(U21(and(isNat(M),isNat(N)),M,N)) [12] active(x(N,0)) -> mark(U31(isNat(N))) [13] active(x(N,s(M))) -> mark(U41(and(isNat(M),isNat(N)),M,N)) [14] mark(U11(X1,X2)) -> active(U11(mark(X1),X2)) [15] mark(tt) -> active(tt) [16] mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3)) [17] mark(s(X)) -> active(s(mark(X))) [18] mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2))) [19] mark(U31(X)) -> active(U31(mark(X))) [20] mark(0) -> active(0) [21] mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) [22] mark(x(X1,X2)) -> active(x(mark(X1),mark(X2))) [23] mark(and(X1,X2)) -> active(and(mark(X1),X2)) [24] mark(isNat(X)) -> active(isNat(X)) [25] U11(mark(X1),X2) -> U11(X1,X2) [26] U11(X1,mark(X2)) -> U11(X1,X2) [27] U11(active(X1),X2) -> U11(X1,X2) [28] U11(X1,active(X2)) -> U11(X1,X2) [29] U21(mark(X1),X2,X3) -> U21(X1,X2,X3) [30] U21(X1,mark(X2),X3) -> U21(X1,X2,X3) [31] U21(X1,X2,mark(X3)) -> U21(X1,X2,X3) [32] U21(active(X1),X2,X3) -> U21(X1,X2,X3) [33] U21(X1,active(X2),X3) -> U21(X1,X2,X3) [34] U21(X1,X2,active(X3)) -> U21(X1,X2,X3) [35] s(mark(X)) -> s(X) [36] s(active(X)) -> s(X) [37] plus(mark(X1),X2) -> plus(X1,X2) [38] plus(X1,mark(X2)) -> plus(X1,X2) [39] plus(active(X1),X2) -> plus(X1,X2) [40] plus(X1,active(X2)) -> plus(X1,X2) [41] U31(mark(X)) -> U31(X) [42] U31(active(X)) -> U31(X) [43] U41(mark(X1),X2,X3) -> U41(X1,X2,X3) [44] U41(X1,mark(X2),X3) -> U41(X1,X2,X3) [45] U41(X1,X2,mark(X3)) -> U41(X1,X2,X3) [46] U41(active(X1),X2,X3) -> U41(X1,X2,X3) [47] U41(X1,active(X2),X3) -> U41(X1,X2,X3) [48] U41(X1,X2,active(X3)) -> U41(X1,X2,X3) [49] x(mark(X1),X2) -> x(X1,X2) [50] x(X1,mark(X2)) -> x(X1,X2) [51] x(active(X1),X2) -> x(X1,X2) [52] x(X1,active(X2)) -> x(X1,X2) [53] and(mark(X1),X2) -> and(X1,X2) [54] and(X1,mark(X2)) -> and(X1,X2) [55] and(active(X1),X2) -> and(X1,X2) [56] and(X1,active(X2)) -> and(X1,X2) [57] isNat(mark(X)) -> isNat(X) [58] isNat(active(X)) -> isNat(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 10 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_active(U31(mark(X))) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(U11(tt,N)) >= Marked_mark(N) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U11(isNat(N),N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(x(N,s(M))) >= Marked_mark(U41(and(isNat(M),isNat(N)),M,N)) ; Marked_active(x(N,0)) >= Marked_mark(U31(isNat(N))) ; Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_active(U31(mark(X))) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(U11(tt,N)) > Marked_mark(N) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U11(isNat(N),N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(x(N,s(M))) > Marked_mark(U41(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(x(N,0)) > Marked_mark(U31(isNat(N))) ; } { Marked_active(U41(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_active(U31(mark(X))) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(U11(tt,N)) >= Marked_mark(N) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(plus(N,0)) >= Marked_mark(U11(isNat(N),N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(x(N,s(M))) >= Marked_mark(U41(and(isNat(M),isNat(N)), M,N)) constraint: Marked_active(x(N,0)) >= Marked_mark(U31(isNat(N))) constraint: Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Subterm criterion) ST: Marked_U11 -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U21 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_s -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_plus -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U31 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U41 -> 3 APPLY CRITERIA (Subterm criterion) ST: Marked_x -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_and -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_isNat -> 1 APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(U31(X)) >= Marked_active(U31(mark(X))) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(U11(tt,N)) >= Marked_mark(N) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U11(isNat(N),N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(x(N,s(M))) >= Marked_mark(U41(and(isNat(M),isNat(N)),M,N)) ; Marked_active(x(N,0)) >= Marked_mark(U31(isNat(N))) ; Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(U31(X)) > Marked_active(U31(mark(X))) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(U11(tt,N)) > Marked_mark(N) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U11(isNat(N),N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(x(N,s(M))) > Marked_mark(U41(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(x(N,0)) > Marked_mark(U31(isNat(N))) ; } { Marked_active(U41(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(U31(X)) >= Marked_active(U31(mark(X))) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(U11(tt,N)) >= Marked_mark(N) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(plus(N,0)) >= Marked_mark(U11(isNat(N),N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(x(N,s(M))) >= Marked_mark(U41(and(isNat(M),isNat(N)), M,N)) constraint: Marked_active(x(N,0)) >= Marked_mark(U31(isNat(N))) constraint: Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(U11(tt,N)) >= Marked_mark(N) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U11(isNat(N),N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(x(N,s(M))) >= Marked_mark(U41(and(isNat(M),isNat(N)),M,N)) ; Marked_active(x(N,0)) >= Marked_mark(U31(isNat(N))) ; Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(U11(tt,N)) > Marked_mark(N) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U11(isNat(N),N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(x(N,s(M))) > Marked_mark(U41(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(x(N,0)) > Marked_mark(U31(isNat(N))) ; } { Marked_active(U41(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(U11(tt,N)) >= Marked_mark(N) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(plus(N,0)) >= Marked_mark(U11(isNat(N),N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(x(N,s(M))) >= Marked_mark(U41(and(isNat(M),isNat(N)), M,N)) constraint: Marked_active(x(N,0)) >= Marked_mark(U31(isNat(N))) constraint: Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(U31(X)) >= Marked_mark(X) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(U11(tt,N)) >= Marked_mark(N) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U11(isNat(N),N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(x(N,0)) >= Marked_mark(U31(isNat(N))) ; Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(U31(X)) > Marked_mark(X) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(U11(tt,N)) > Marked_mark(N) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U11(isNat(N),N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(x(N,0)) > Marked_mark(U31(isNat(N))) ; } { Marked_active(U41(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(U31(X)) >= Marked_mark(X) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(U11(tt,N)) >= Marked_mark(N) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(plus(N,0)) >= Marked_mark(U11(isNat(N),N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(x(N,0)) >= Marked_mark(U31(isNat(N))) constraint: Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(U11(tt,N)) >= Marked_mark(N) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(x(N,0)) >= Marked_mark(U31(isNat(N))) ; Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(U11(tt,N)) > Marked_mark(N) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(x(N,0)) > Marked_mark(U31(isNat(N))) ; } { Marked_active(U41(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(U11(tt,N)) >= Marked_mark(N) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(x(N,0)) >= Marked_mark(U31(isNat(N))) constraint: Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(U11(tt,N)) >= Marked_mark(N) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(U11(tt,N)) > Marked_mark(N) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(U41(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(U11(tt,N)) >= Marked_mark(N) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(U11(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(U11(tt,N)) >= Marked_mark(N) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(U11(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(U11(tt,N)) > Marked_mark(N) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(U41(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(U11(tt,N)) >= Marked_mark(N) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(U11(X1,X2)) > Marked_active(U11(mark(X1),X2)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(U41(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(U11(X1,X2)) >= Marked_active(U11(mark(X1),X2)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(U41(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(U41(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(U41(X1,X2,X3)) > Marked_active(U41(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(U41(X1,X2,X3)) >= Marked_active(U41(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U21(and(isNat(M),isNat(N)),M,N)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U21(and(isNat(M), isNat(N)), M,N)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(U21(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ; } { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(s(V1))) > Marked_mark(isNat(V1)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(isNat(V1)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(and(isNat(V1),isNat(V2))) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1),isNat(V2))) ; } + Disjunctions:{ { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(and(isNat(V1),isNat(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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(and(isNat(V1), isNat(V2))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) ; mark(tt) >= active(tt) ; mark(s(X)) >= active(s(mark(X))) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ; mark(0) >= active(0) ; mark(U31(X)) >= active(U31(mark(X))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) ; mark(and(X1,X2)) >= active(and(mark(X1),X2)) ; mark(isNat(X)) >= active(isNat(X)) ; active(U11(tt,N)) >= mark(N) ; active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) ; active(plus(N,0)) >= mark(U11(isNat(N),N)) ; active(U21(tt,M,N)) >= mark(s(plus(N,M))) ; active(U31(tt)) >= mark(0) ; active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) ; active(x(N,0)) >= mark(U31(isNat(N))) ; active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(and(tt,X)) >= mark(X) ; active(isNat(s(V1))) >= mark(isNat(V1)) ; active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; active(isNat(0)) >= mark(tt) ; active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) ; U11(mark(X1),X2) >= U11(X1,X2) ; U11(active(X1),X2) >= U11(X1,X2) ; U11(X1,mark(X2)) >= U11(X1,X2) ; U11(X1,active(X2)) >= U11(X1,X2) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ; U21(active(X1),X2,X3) >= U21(X1,X2,X3) ; U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ; U21(X1,active(X2),X3) >= U21(X1,X2,X3) ; U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ; U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ; U31(mark(X)) >= U31(X) ; U31(active(X)) >= U31(X) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U41(mark(X1),X2,X3) >= U41(X1,X2,X3) ; U41(active(X1),X2,X3) >= U41(X1,X2,X3) ; U41(X1,mark(X2),X3) >= U41(X1,X2,X3) ; U41(X1,active(X2),X3) >= U41(X1,X2,X3) ; U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) ; U41(X1,X2,active(X3)) >= U41(X1,X2,X3) ; and(mark(X1),X2) >= and(X1,X2) ; and(active(X1),X2) >= and(X1,X2) ; and(X1,mark(X2)) >= and(X1,X2) ; and(X1,active(X2)) >= and(X1,X2) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; Marked_mark(and(X1,X2)) >= Marked_mark(X1) ; Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ; Marked_active(and(tt,X)) >= Marked_mark(X) ; } + Disjunctions:{ { Marked_mark(and(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ; } { Marked_active(and(tt,X)) > Marked_mark(X) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === 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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U11(X1,X2)) >= active(U11(mark(X1),X2)) constraint: mark(tt) >= active(tt) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) constraint: mark(0) >= active(0) constraint: mark(U31(X)) >= active(U31(mark(X))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U41(X1,X2,X3)) >= active(U41(mark(X1),X2,X3)) constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: active(U11(tt,N)) >= mark(N) constraint: active(plus(N,s(M))) >= mark(U21(and(isNat(M),isNat(N)),M,N)) constraint: active(plus(N,0)) >= mark(U11(isNat(N),N)) constraint: active(U21(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U31(tt)) >= mark(0) constraint: active(x(N,s(M))) >= mark(U41(and(isNat(M),isNat(N)),M,N)) constraint: active(x(N,0)) >= mark(U31(isNat(N))) constraint: active(U41(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(and(tt,X)) >= mark(X) constraint: active(isNat(s(V1))) >= mark(isNat(V1)) constraint: active(isNat(plus(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: active(isNat(0)) >= mark(tt) constraint: active(isNat(x(V1,V2))) >= mark(and(isNat(V1),isNat(V2))) constraint: U11(mark(X1),X2) >= U11(X1,X2) constraint: U11(active(X1),X2) >= U11(X1,X2) constraint: U11(X1,mark(X2)) >= U11(X1,X2) constraint: U11(X1,active(X2)) >= U11(X1,X2) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3) constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3) constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3) constraint: U31(mark(X)) >= U31(X) constraint: U31(active(X)) >= U31(X) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U41(mark(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(active(X1),X2,X3) >= U41(X1,X2,X3) constraint: U41(X1,mark(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,active(X2),X3) >= U41(X1,X2,X3) constraint: U41(X1,X2,mark(X3)) >= U41(X1,X2,X3) constraint: U41(X1,X2,active(X3)) >= U41(X1,X2,X3) constraint: and(mark(X1),X2) >= and(X1,X2) constraint: and(active(X1),X2) >= and(X1,X2) constraint: and(X1,mark(X2)) >= and(X1,X2) constraint: and(X1,active(X2)) >= and(X1,X2) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) constraint: Marked_active(and(tt,X)) >= Marked_mark(X) 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_U11 -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_U21 -> 2 APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_U21 -> 1 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_plus -> 1 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 -> 2 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 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_x -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_and -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] active(U11(tt,N)) -> mark(N) [2] active(U21(tt,M,N)) -> mark(s(plus(N,M))) [3] active(U31(tt)) -> mark(0) [4] active(U41(tt,M,N)) -> mark(plus(x(N,M),N)) [5] active(and(tt,X)) -> mark(X) [6] active(isNat(0)) -> mark(tt) [7] active(isNat(plus(V1,V2))) -> mark(and(isNat(V1),isNat(V2))) [8] active(isNat(s(V1))) -> mark(isNat(V1)) [9] active(isNat(x(V1,V2))) -> mark(and(isNat(V1),isNat(V2))) [10] active(plus(N,0)) -> mark(U11(isNat(N),N)) [11] active(plus(N,s(M))) -> mark(U21(and(isNat(M),isNat(N)),M,N)) [12] active(x(N,0)) -> mark(U31(isNat(N))) [13] active(x(N,s(M))) -> mark(U41(and(isNat(M),isNat(N)),M,N)) [14] mark(U11(X1,X2)) -> active(U11(mark(X1),X2)) [15] mark(tt) -> active(tt) [16] mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3)) [17] mark(s(X)) -> active(s(mark(X))) [18] mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2))) [19] mark(U31(X)) -> active(U31(mark(X))) [20] mark(0) -> active(0) [21] mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) [22] mark(x(X1,X2)) -> active(x(mark(X1),mark(X2))) [23] mark(and(X1,X2)) -> active(and(mark(X1),X2)) [24] mark(isNat(X)) -> active(isNat(X)) [25] U11(mark(X1),X2) -> U11(X1,X2) [26] U11(X1,mark(X2)) -> U11(X1,X2) [27] U11(active(X1),X2) -> U11(X1,X2) [28] U11(X1,active(X2)) -> U11(X1,X2) [29] U21(mark(X1),X2,X3) -> U21(X1,X2,X3) [30] U21(X1,mark(X2),X3) -> U21(X1,X2,X3) [31] U21(X1,X2,mark(X3)) -> U21(X1,X2,X3) [32] U21(active(X1),X2,X3) -> U21(X1,X2,X3) [33] U21(X1,active(X2),X3) -> U21(X1,X2,X3) [34] U21(X1,X2,active(X3)) -> U21(X1,X2,X3) [35] s(mark(X)) -> s(X) [36] s(active(X)) -> s(X) [37] plus(mark(X1),X2) -> plus(X1,X2) [38] plus(X1,mark(X2)) -> plus(X1,X2) [39] plus(active(X1),X2) -> plus(X1,X2) [40] plus(X1,active(X2)) -> plus(X1,X2) [41] U31(mark(X)) -> U31(X) [42] U31(active(X)) -> U31(X) [43] U41(mark(X1),X2,X3) -> U41(X1,X2,X3) [44] U41(X1,mark(X2),X3) -> U41(X1,X2,X3) [45] U41(X1,X2,mark(X3)) -> U41(X1,X2,X3) [46] U41(active(X1),X2,X3) -> U41(X1,X2,X3) [47] U41(X1,active(X2),X3) -> U41(X1,X2,X3) [48] U41(X1,X2,active(X3)) -> U41(X1,X2,X3) [49] x(mark(X1),X2) -> x(X1,X2) [50] x(X1,mark(X2)) -> x(X1,X2) [51] x(active(X1),X2) -> x(X1,X2) [52] x(X1,active(X2)) -> x(X1,X2) [53] and(mark(X1),X2) -> and(X1,X2) [54] and(X1,mark(X2)) -> and(X1,X2) [55] and(active(X1),X2) -> and(X1,X2) [56] and(X1,active(X2)) -> and(X1,X2) [57] isNat(mark(X)) -> isNat(X) [58] isNat(active(X)) -> isNat(X) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ U31 ] (X0) = 1; [ s ] (X0) = 0; [ isNat ] (X0) = 1; [ U11 ] (X0,X1) = 1; [ U41 ] (X0,X1,X2) = 1; [ U21 ] (X0,X1,X2) = 1; [ Marked_mark ] (X0) = 1; [ active ] (X0) = 0; [ x ] (X0,X1) = 1; [ plus ] (X0,X1) = 1; [ tt ] () = 0; [ and ] (X0,X1) = 1; [ 0 ] () = 0; [ Marked_active ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ U31 ] (X0) = 0; [ s ] (X0) = 0; [ isNat ] (X0) = 1; [ U11 ] (X0,X1) = 1; [ U41 ] (X0,X1,X2) = 1; [ U21 ] (X0,X1,X2) = 1; [ Marked_mark ] (X0) = 2; [ active ] (X0) = 0; [ x ] (X0,X1) = 1; [ plus ] (X0,X1) = 1; [ tt ] () = 0; [ and ] (X0,X1) = 1; [ 0 ] () = 0; [ Marked_active ] (X0) = 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 1*X0; [ s ] (X0) = 1*X0 + 1; [ isNat ] (X0) = 0; [ U11 ] (X0,X1) = 1*X1 + 2*X0; [ U41 ] (X0,X1,X2) = 2*X2*X1 + 2*X2 + 2*X1 + 2*X0; [ U21 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2*X0 + 1; [ Marked_mark ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 2*X1*X0 + 2*X1 + 1*X0; [ plus ] (X0,X1) = 1*X1 + 1*X0; [ tt ] () = 0; [ and ] (X0,X1) = 2*X1 + 2*X0; [ 0 ] () = 0; [ Marked_active ] (X0) = 2*X0; removing < Marked_mark(U21(X1,X2,X3)),Marked_mark(X1)> [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 1*X0 + 2; [ s ] (X0) = 1*X0 + 2; [ isNat ] (X0) = 0; [ U11 ] (X0,X1) = 1*X1 + 2*X0; [ U41 ] (X0,X1,X2) = 2*X2*X1 + 2*X2 + 1*X1 + 2*X0; [ U21 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; [ Marked_mark ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 2*X1*X0 + 1*X1 + 1*X0; [ plus ] (X0,X1) = 1*X1 + 1*X0; [ tt ] () = 0; [ and ] (X0,X1) = 1*X1 + 1*X0; [ 0 ] () = 2; [ Marked_active ] (X0) = 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 1; [ s ] (X0) = 1*X0 + 1; [ isNat ] (X0) = 0; [ U11 ] (X0,X1) = 1*X1 + 2*X0; [ U41 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 2*X1 + 2*X0; [ U21 ] (X0,X1,X2) = 1*X2 + 1*X1 + 1; [ Marked_mark ] (X0) = 1*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 1*X1*X0 + 2*X1 + 1*X0; [ plus ] (X0,X1) = 1*X1 + 1*X0; [ tt ] () = 0; [ and ] (X0,X1) = 1*X1 + 2*X0; [ 0 ] () = 1; [ Marked_active ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ U31 ] (X0) = 0; [ s ] (X0) = 0; [ isNat ] (X0) = 2; [ U11 ] (X0,X1) = 2; [ U41 ] (X0,X1,X2) = 2; [ U21 ] (X0,X1,X2) = 2; [ Marked_mark ] (X0) = 2; [ active ] (X0) = 0; [ x ] (X0,X1) = 0; [ plus ] (X0,X1) = 2; [ tt ] () = 0; [ and ] (X0,X1) = 2; [ 0 ] () = 0; [ Marked_active ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 1; [ s ] (X0) = 1*X0 + 2; [ isNat ] (X0) = 0; [ U11 ] (X0,X1) = 1*X1 + 1*X0 + 1; [ U41 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 1*X1 + 2*X0; [ U21 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; [ Marked_mark ] (X0) = 1*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 1*X1*X0 + 1*X1 + 1*X0; [ plus ] (X0,X1) = 1*X1 + 1*X0; [ tt ] () = 0; [ and ] (X0,X1) = 2*X1 + 2*X0; [ 0 ] () = 1; [ Marked_active ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ U31 ] (X0) = 0; [ s ] (X0) = 0; [ isNat ] (X0) = 1; [ U11 ] (X0,X1) = 0; [ U41 ] (X0,X1,X2) = 1; [ U21 ] (X0,X1,X2) = 1; [ Marked_mark ] (X0) = 1; [ active ] (X0) = 0; [ x ] (X0,X1) = 0; [ plus ] (X0,X1) = 1; [ tt ] () = 0; [ and ] (X0,X1) = 1; [ 0 ] () = 0; [ Marked_active ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 0; [ s ] (X0) = 1*X0 + 2; [ isNat ] (X0) = 0; [ U11 ] (X0,X1) = 1*X1; [ U41 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 2*X1 + 2*X0 + 1; [ U21 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; [ Marked_mark ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 1*X1*X0 + 2*X1 + 1*X0; [ plus ] (X0,X1) = 1*X1 + 1*X0; [ tt ] () = 0; [ and ] (X0,X1) = 2*X1 + 2*X0; [ 0 ] () = 0; [ Marked_active ] (X0) = 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ U31 ] (X0) = 0; [ s ] (X0) = 0; [ isNat ] (X0) = 2; [ U11 ] (X0,X1) = 0; [ U41 ] (X0,X1,X2) = 0; [ U21 ] (X0,X1,X2) = 2; [ Marked_mark ] (X0) = 2; [ active ] (X0) = 0; [ x ] (X0,X1) = 0; [ plus ] (X0,X1) = 2; [ tt ] () = 0; [ and ] (X0,X1) = 2; [ 0 ] () = 0; [ Marked_active ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 0; [ s ] (X0) = 1*X0 + 1; [ isNat ] (X0) = 0; [ U11 ] (X0,X1) = 1*X1 + 1; [ U41 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 1*X1 + 1; [ U21 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; [ Marked_mark ] (X0) = 1*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 1*X1*X0 + 1*X1 + 1*X0; [ plus ] (X0,X1) = 1*X1 + 1*X0 + 1; [ tt ] () = 0; [ and ] (X0,X1) = 2*X1 + 2*X0; [ 0 ] () = 0; [ Marked_active ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 1; [ s ] (X0) = 1*X0; [ isNat ] (X0) = 0; [ U11 ] (X0,X1) = 1*X1; [ U41 ] (X0,X1,X2) = 2*X2 + 1*X1 + 1; [ U21 ] (X0,X1,X2) = 1*X2; [ Marked_mark ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 1*X1 + 2*X0 + 1; [ plus ] (X0,X1) = 1*X0; [ tt ] () = 0; [ and ] (X0,X1) = 1*X1 + 2*X0; [ 0 ] () = 0; [ Marked_active ] (X0) = 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 0; [ s ] (X0) = 1*X0 + 1; [ isNat ] (X0) = 0; [ U11 ] (X0,X1) = 1*X1; [ U41 ] (X0,X1,X2) = 2*X2*X1 + 2*X2; [ U21 ] (X0,X1,X2) = 1*X2 + 2*X1 + 1; [ Marked_mark ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 2*X1*X0; [ plus ] (X0,X1) = 2*X1 + 1*X0; [ tt ] () = 0; [ and ] (X0,X1) = 1*X1 + 2*X0; [ 0 ] () = 0; [ Marked_active ] (X0) = 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ U31 ] (X0) = 0; [ s ] (X0) = 0; [ isNat ] (X0) = 1; [ U11 ] (X0,X1) = 0; [ U41 ] (X0,X1,X2) = 0; [ U21 ] (X0,X1,X2) = 1; [ Marked_mark ] (X0) = 1; [ active ] (X0) = 0; [ x ] (X0,X1) = 0; [ plus ] (X0,X1) = 0; [ tt ] () = 0; [ and ] (X0,X1) = 1; [ 0 ] () = 0; [ Marked_active ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 0; [ s ] (X0) = 1*X0 + 1; [ isNat ] (X0) = 0; [ U11 ] (X0,X1) = 1*X1; [ U41 ] (X0,X1,X2) = 2*X2*X1 + 2*X2; [ U21 ] (X0,X1,X2) = 1*X2 + 2*X1 + 2; [ Marked_mark ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 2*X1*X0; [ plus ] (X0,X1) = 2*X1 + 1*X0; [ tt ] () = 0; [ and ] (X0,X1) = 2*X1 + 2*X0; [ 0 ] () = 0; [ Marked_active ] (X0) = 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ U31 ] (X0) = 0; [ s ] (X0) = 0; [ isNat ] (X0) = 2; [ U11 ] (X0,X1) = 0; [ U41 ] (X0,X1,X2) = 0; [ U21 ] (X0,X1,X2) = 0; [ Marked_mark ] (X0) = 2; [ active ] (X0) = 0; [ x ] (X0,X1) = 0; [ plus ] (X0,X1) = 0; [ tt ] () = 0; [ and ] (X0,X1) = 2; [ 0 ] () = 0; [ Marked_active ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 0; [ s ] (X0) = 1*X0 + 2; [ isNat ] (X0) = 2*X0; [ U11 ] (X0,X1) = 1*X1; [ U41 ] (X0,X1,X2) = 2*X2*X1 + 2*X2 + 1*X1 + 2; [ U21 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; [ Marked_mark ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 2*X1*X0 + 1*X1 + 1*X0; [ plus ] (X0,X1) = 1*X1 + 1*X0; [ tt ] () = 0; [ and ] (X0,X1) = 1*X1 + 1*X0; [ 0 ] () = 0; [ Marked_active ] (X0) = 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 0; [ s ] (X0) = 1*X0 + 1; [ isNat ] (X0) = 1*X0; [ U11 ] (X0,X1) = 1*X1 + 1; [ U41 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 1*X1 + 1; [ U21 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; [ Marked_mark ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 1*X1*X0 + 1*X1 + 1*X0; [ plus ] (X0,X1) = 1*X1 + 1*X0 + 1; [ tt ] () = 0; [ and ] (X0,X1) = 1*X1 + 1*X0; [ 0 ] () = 0; [ Marked_active ] (X0) = 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 1; [ s ] (X0) = 1*X0 + 2; [ isNat ] (X0) = 2*X0; [ U11 ] (X0,X1) = 1*X1; [ U41 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 2*X1 + 1; [ U21 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; [ Marked_mark ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 1*X1*X0 + 2*X1 + 1*X0 + 1; [ plus ] (X0,X1) = 1*X1 + 1*X0; [ tt ] () = 0; [ and ] (X0,X1) = 1*X1 + 1*X0; [ 0 ] () = 1; [ Marked_active ] (X0) = 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ U31 ] (X0) = 0; [ s ] (X0) = 0; [ isNat ] (X0) = 0; [ U11 ] (X0,X1) = 0; [ U41 ] (X0,X1,X2) = 0; [ U21 ] (X0,X1,X2) = 0; [ Marked_mark ] (X0) = 1; [ active ] (X0) = 0; [ x ] (X0,X1) = 0; [ plus ] (X0,X1) = 0; [ tt ] () = 0; [ and ] (X0,X1) = 1; [ 0 ] () = 0; [ Marked_active ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U31 ] (X0) = 1; [ s ] (X0) = 1*X0 + 1; [ isNat ] (X0) = 2*X0; [ U11 ] (X0,X1) = 1*X1; [ U41 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 2*X1; [ U21 ] (X0,X1,X2) = 1*X2 + 1*X1 + 1; [ Marked_mark ] (X0) = 1*X0; [ active ] (X0) = 1*X0; [ x ] (X0,X1) = 1*X1*X0 + 2*X1 + 1*X0; [ plus ] (X0,X1) = 1*X1 + 1*X0; [ tt ] () = 1; [ and ] (X0,X1) = 1*X1 + 1*X0; [ 0 ] () = 1; [ Marked_active ] (X0) = 1*X0; 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 [ ]} ]} ]} ]} Cime worked for 264.191377 seconds (real time) Cime Exit Status: 0