- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z))) [2] active(__(X,nil)) -> mark(X) [3] active(__(nil,X)) -> mark(X) [4] active(U11(tt)) -> mark(U12(tt)) [5] active(U12(tt)) -> mark(tt) [6] active(isNePal(__(I,__(P,I)))) -> mark(U11(tt)) [7] mark(__(X1,X2)) -> active(__(mark(X1),mark(X2))) [8] mark(nil) -> active(nil) [9] mark(U11(X)) -> active(U11(mark(X))) [10] mark(tt) -> active(tt) [11] mark(U12(X)) -> active(U12(mark(X))) [12] mark(isNePal(X)) -> active(isNePal(mark(X))) [13] __(mark(X1),X2) -> __(X1,X2) [14] __(X1,mark(X2)) -> __(X1,X2) [15] __(active(X1),X2) -> __(X1,X2) [16] __(X1,active(X2)) -> __(X1,X2) [17] U11(mark(X)) -> U11(X) [18] U11(active(X)) -> U11(X) [19] U12(mark(X)) -> U12(X) [20] U12(active(X)) -> U12(X) [21] isNePal(mark(X)) -> isNePal(X) [22] isNePal(active(X)) -> isNePal(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 5 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(__(X1,X2)) >= active(__(mark(X1),mark(X2))) ; mark(nil) >= active(nil) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(isNePal(X)) >= active(isNePal(mark(X))) ; __(mark(X1),X2) >= __(X1,X2) ; __(active(X1),X2) >= __(X1,X2) ; __(X1,mark(X2)) >= __(X1,X2) ; __(X1,active(X2)) >= __(X1,X2) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(U12(tt)) >= mark(tt) ; active(U11(tt)) >= mark(U12(tt)) ; active(isNePal(__(I,__(P,I)))) >= mark(U11(tt)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; isNePal(mark(X)) >= isNePal(X) ; isNePal(active(X)) >= isNePal(X) ; Marked_mark(__(X1,X2)) >= Marked_mark(X1) ; Marked_mark(__(X1,X2)) >= Marked_mark(X2) ; Marked_mark(__(X1,X2)) >= Marked_active(__(mark(X1),mark(X2))) ; Marked_mark(U12(X)) >= Marked_mark(X) ; Marked_mark(U12(X)) >= Marked_active(U12(mark(X))) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) ; Marked_mark(isNePal(X)) >= Marked_mark(X) ; Marked_mark(isNePal(X)) >= Marked_active(isNePal(mark(X))) ; Marked_active(__(__(X,Y),Z)) >= Marked_mark(__(X,__(Y,Z))) ; Marked_active(__(nil,X)) >= Marked_mark(X) ; Marked_active(__(X,nil)) >= Marked_mark(X) ; Marked_active(U11(tt)) >= Marked_mark(U12(tt)) ; Marked_active(isNePal(__(I,__(P,I)))) >= Marked_mark(U11(tt)) ; } + Disjunctions:{ { Marked_mark(__(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(__(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(__(X1,X2)) > Marked_active(__(mark(X1),mark(X2))) ; } { Marked_mark(U12(X)) > Marked_mark(X) ; } { Marked_mark(U12(X)) > Marked_active(U12(mark(X))) ; } { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U11(X)) > Marked_active(U11(mark(X))) ; } { Marked_mark(isNePal(X)) > Marked_mark(X) ; } { Marked_mark(isNePal(X)) > Marked_active(isNePal(mark(X))) ; } { Marked_active(__(__(X,Y),Z)) > Marked_mark(__(X,__(Y,Z))) ; } { Marked_active(__(nil,X)) > Marked_mark(X) ; } { Marked_active(__(X,nil)) > Marked_mark(X) ; } { Marked_active(U11(tt)) > Marked_mark(U12(tt)) ; } { Marked_active(isNePal(__(I,__(P,I)))) > Marked_mark(U11(tt)) ; } } === 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(__(X1,X2)) >= active(__(mark(X1),mark(X2))) constraint: mark(nil) >= active(nil) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(isNePal(X)) >= active(isNePal(mark(X))) constraint: __(mark(X1),X2) >= __(X1,X2) constraint: __(active(X1),X2) >= __(X1,X2) constraint: __(X1,mark(X2)) >= __(X1,X2) constraint: __(X1,active(X2)) >= __(X1,X2) constraint: active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) constraint: active(__(nil,X)) >= mark(X) constraint: active(__(X,nil)) >= mark(X) constraint: active(U12(tt)) >= mark(tt) constraint: active(U11(tt)) >= mark(U12(tt)) constraint: active(isNePal(__(I,__(P,I)))) >= mark(U11(tt)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: isNePal(mark(X)) >= isNePal(X) constraint: isNePal(active(X)) >= isNePal(X) constraint: Marked_mark(__(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(__(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(__(X1,X2)) >= Marked_active(__(mark(X1),mark(X2))) constraint: Marked_mark(U12(X)) >= Marked_mark(X) constraint: Marked_mark(U12(X)) >= Marked_active(U12(mark(X))) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) constraint: Marked_mark(isNePal(X)) >= Marked_mark(X) constraint: Marked_mark(isNePal(X)) >= Marked_active(isNePal(mark(X))) constraint: Marked_active(__(__(X,Y),Z)) >= Marked_mark(__(X,__(Y,Z))) constraint: Marked_active(__(nil,X)) >= Marked_mark(X) constraint: Marked_active(__(X,nil)) >= Marked_mark(X) constraint: Marked_active(U11(tt)) >= Marked_mark(U12(tt)) constraint: Marked_active(isNePal(__(I,__(P,I)))) >= Marked_mark(U11(tt)) APPLY CRITERIA (Subterm criterion) ST: Marked___ -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_U11 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_U12 -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_isNePal -> 1 APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(__(X1,X2)) >= active(__(mark(X1),mark(X2))) ; mark(nil) >= active(nil) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(isNePal(X)) >= active(isNePal(mark(X))) ; __(mark(X1),X2) >= __(X1,X2) ; __(active(X1),X2) >= __(X1,X2) ; __(X1,mark(X2)) >= __(X1,X2) ; __(X1,active(X2)) >= __(X1,X2) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(U12(tt)) >= mark(tt) ; active(U11(tt)) >= mark(U12(tt)) ; active(isNePal(__(I,__(P,I)))) >= mark(U11(tt)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; isNePal(mark(X)) >= isNePal(X) ; isNePal(active(X)) >= isNePal(X) ; Marked_mark(__(X1,X2)) >= Marked_mark(X1) ; Marked_mark(__(X1,X2)) >= Marked_mark(X2) ; Marked_mark(__(X1,X2)) >= Marked_active(__(mark(X1),mark(X2))) ; Marked_mark(U12(X)) >= Marked_mark(X) ; Marked_mark(U11(X)) >= Marked_mark(X) ; Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) ; Marked_mark(isNePal(X)) >= Marked_mark(X) ; Marked_mark(isNePal(X)) >= Marked_active(isNePal(mark(X))) ; Marked_active(__(__(X,Y),Z)) >= Marked_mark(__(X,__(Y,Z))) ; Marked_active(__(nil,X)) >= Marked_mark(X) ; Marked_active(__(X,nil)) >= Marked_mark(X) ; Marked_active(U11(tt)) >= Marked_mark(U12(tt)) ; Marked_active(isNePal(__(I,__(P,I)))) >= Marked_mark(U11(tt)) ; } + Disjunctions:{ { Marked_mark(__(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(__(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(__(X1,X2)) > Marked_active(__(mark(X1),mark(X2))) ; } { Marked_mark(U12(X)) > Marked_mark(X) ; } { Marked_mark(U11(X)) > Marked_mark(X) ; } { Marked_mark(U11(X)) > Marked_active(U11(mark(X))) ; } { Marked_mark(isNePal(X)) > Marked_mark(X) ; } { Marked_mark(isNePal(X)) > Marked_active(isNePal(mark(X))) ; } { Marked_active(__(__(X,Y),Z)) > Marked_mark(__(X,__(Y,Z))) ; } { Marked_active(__(nil,X)) > Marked_mark(X) ; } { Marked_active(__(X,nil)) > Marked_mark(X) ; } { Marked_active(U11(tt)) > Marked_mark(U12(tt)) ; } { Marked_active(isNePal(__(I,__(P,I)))) > Marked_mark(U11(tt)) ; } } === 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(__(X1,X2)) >= active(__(mark(X1),mark(X2))) constraint: mark(nil) >= active(nil) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(isNePal(X)) >= active(isNePal(mark(X))) constraint: __(mark(X1),X2) >= __(X1,X2) constraint: __(active(X1),X2) >= __(X1,X2) constraint: __(X1,mark(X2)) >= __(X1,X2) constraint: __(X1,active(X2)) >= __(X1,X2) constraint: active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) constraint: active(__(nil,X)) >= mark(X) constraint: active(__(X,nil)) >= mark(X) constraint: active(U12(tt)) >= mark(tt) constraint: active(U11(tt)) >= mark(U12(tt)) constraint: active(isNePal(__(I,__(P,I)))) >= mark(U11(tt)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: isNePal(mark(X)) >= isNePal(X) constraint: isNePal(active(X)) >= isNePal(X) constraint: Marked_mark(__(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(__(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(__(X1,X2)) >= Marked_active(__(mark(X1),mark(X2))) constraint: Marked_mark(U12(X)) >= Marked_mark(X) constraint: Marked_mark(U11(X)) >= Marked_mark(X) constraint: Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) constraint: Marked_mark(isNePal(X)) >= Marked_mark(X) constraint: Marked_mark(isNePal(X)) >= Marked_active(isNePal(mark(X))) constraint: Marked_active(__(__(X,Y),Z)) >= Marked_mark(__(X,__(Y,Z))) constraint: Marked_active(__(nil,X)) >= Marked_mark(X) constraint: Marked_active(__(X,nil)) >= Marked_mark(X) constraint: Marked_active(U11(tt)) >= Marked_mark(U12(tt)) constraint: Marked_active(isNePal(__(I,__(P,I)))) >= Marked_mark(U11(tt)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(__(X1,X2)) >= active(__(mark(X1),mark(X2))) ; mark(nil) >= active(nil) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(isNePal(X)) >= active(isNePal(mark(X))) ; __(mark(X1),X2) >= __(X1,X2) ; __(active(X1),X2) >= __(X1,X2) ; __(X1,mark(X2)) >= __(X1,X2) ; __(X1,active(X2)) >= __(X1,X2) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(U12(tt)) >= mark(tt) ; active(U11(tt)) >= mark(U12(tt)) ; active(isNePal(__(I,__(P,I)))) >= mark(U11(tt)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; isNePal(mark(X)) >= isNePal(X) ; isNePal(active(X)) >= isNePal(X) ; Marked_mark(__(X1,X2)) >= Marked_active(__(mark(X1),mark(X2))) ; Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) ; Marked_mark(isNePal(X)) >= Marked_mark(X) ; Marked_mark(isNePal(X)) >= Marked_active(isNePal(mark(X))) ; Marked_active(__(__(X,Y),Z)) >= Marked_mark(__(X,__(Y,Z))) ; } + Disjunctions:{ { Marked_mark(__(X1,X2)) > Marked_active(__(mark(X1),mark(X2))) ; } { Marked_mark(U11(X)) > Marked_active(U11(mark(X))) ; } { Marked_mark(isNePal(X)) > Marked_mark(X) ; } { Marked_mark(isNePal(X)) > Marked_active(isNePal(mark(X))) ; } { Marked_active(__(__(X,Y),Z)) > Marked_mark(__(X,__(Y,Z))) ; } } === 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(__(X1,X2)) >= active(__(mark(X1),mark(X2))) constraint: mark(nil) >= active(nil) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(isNePal(X)) >= active(isNePal(mark(X))) constraint: __(mark(X1),X2) >= __(X1,X2) constraint: __(active(X1),X2) >= __(X1,X2) constraint: __(X1,mark(X2)) >= __(X1,X2) constraint: __(X1,active(X2)) >= __(X1,X2) constraint: active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) constraint: active(__(nil,X)) >= mark(X) constraint: active(__(X,nil)) >= mark(X) constraint: active(U12(tt)) >= mark(tt) constraint: active(U11(tt)) >= mark(U12(tt)) constraint: active(isNePal(__(I,__(P,I)))) >= mark(U11(tt)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: isNePal(mark(X)) >= isNePal(X) constraint: isNePal(active(X)) >= isNePal(X) constraint: Marked_mark(__(X1,X2)) >= Marked_active(__(mark(X1),mark(X2))) constraint: Marked_mark(U11(X)) >= Marked_active(U11(mark(X))) constraint: Marked_mark(isNePal(X)) >= Marked_mark(X) constraint: Marked_mark(isNePal(X)) >= Marked_active(isNePal(mark(X))) constraint: Marked_active(__(__(X,Y),Z)) >= Marked_mark(__(X,__(Y,Z))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(__(X1,X2)) >= active(__(mark(X1),mark(X2))) ; mark(nil) >= active(nil) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(isNePal(X)) >= active(isNePal(mark(X))) ; __(mark(X1),X2) >= __(X1,X2) ; __(active(X1),X2) >= __(X1,X2) ; __(X1,mark(X2)) >= __(X1,X2) ; __(X1,active(X2)) >= __(X1,X2) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(U12(tt)) >= mark(tt) ; active(U11(tt)) >= mark(U12(tt)) ; active(isNePal(__(I,__(P,I)))) >= mark(U11(tt)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; isNePal(mark(X)) >= isNePal(X) ; isNePal(active(X)) >= isNePal(X) ; Marked_mark(__(X1,X2)) >= Marked_active(__(mark(X1),mark(X2))) ; Marked_mark(isNePal(X)) >= Marked_mark(X) ; Marked_active(__(__(X,Y),Z)) >= Marked_mark(__(X,__(Y,Z))) ; } + Disjunctions:{ { Marked_mark(__(X1,X2)) > Marked_active(__(mark(X1),mark(X2))) ; } { Marked_mark(isNePal(X)) > Marked_mark(X) ; } { Marked_active(__(__(X,Y),Z)) > Marked_mark(__(X,__(Y,Z))) ; } } === 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(__(X1,X2)) >= active(__(mark(X1),mark(X2))) constraint: mark(nil) >= active(nil) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(isNePal(X)) >= active(isNePal(mark(X))) constraint: __(mark(X1),X2) >= __(X1,X2) constraint: __(active(X1),X2) >= __(X1,X2) constraint: __(X1,mark(X2)) >= __(X1,X2) constraint: __(X1,active(X2)) >= __(X1,X2) constraint: active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) constraint: active(__(nil,X)) >= mark(X) constraint: active(__(X,nil)) >= mark(X) constraint: active(U12(tt)) >= mark(tt) constraint: active(U11(tt)) >= mark(U12(tt)) constraint: active(isNePal(__(I,__(P,I)))) >= mark(U11(tt)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: isNePal(mark(X)) >= isNePal(X) constraint: isNePal(active(X)) >= isNePal(X) constraint: Marked_mark(__(X1,X2)) >= Marked_active(__(mark(X1),mark(X2))) constraint: Marked_mark(isNePal(X)) >= Marked_mark(X) constraint: Marked_active(__(__(X,Y),Z)) >= Marked_mark(__(X,__(Y,Z))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(__(X1,X2)) >= active(__(mark(X1),mark(X2))) ; mark(nil) >= active(nil) ; mark(U12(X)) >= active(U12(mark(X))) ; mark(tt) >= active(tt) ; mark(U11(X)) >= active(U11(mark(X))) ; mark(isNePal(X)) >= active(isNePal(mark(X))) ; __(mark(X1),X2) >= __(X1,X2) ; __(active(X1),X2) >= __(X1,X2) ; __(X1,mark(X2)) >= __(X1,X2) ; __(X1,active(X2)) >= __(X1,X2) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(U12(tt)) >= mark(tt) ; active(U11(tt)) >= mark(U12(tt)) ; active(isNePal(__(I,__(P,I)))) >= mark(U11(tt)) ; U12(mark(X)) >= U12(X) ; U12(active(X)) >= U12(X) ; U11(mark(X)) >= U11(X) ; U11(active(X)) >= U11(X) ; isNePal(mark(X)) >= isNePal(X) ; isNePal(active(X)) >= isNePal(X) ; Marked_mark(__(X1,X2)) >= Marked_active(__(mark(X1),mark(X2))) ; Marked_active(__(__(X,Y),Z)) >= Marked_mark(__(X,__(Y,Z))) ; } + Disjunctions:{ { Marked_mark(__(X1,X2)) > Marked_active(__(mark(X1),mark(X2))) ; } { Marked_active(__(__(X,Y),Z)) > Marked_mark(__(X,__(Y,Z))) ; } } === 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(__(X1,X2)) >= active(__(mark(X1),mark(X2))) constraint: mark(nil) >= active(nil) constraint: mark(U12(X)) >= active(U12(mark(X))) constraint: mark(tt) >= active(tt) constraint: mark(U11(X)) >= active(U11(mark(X))) constraint: mark(isNePal(X)) >= active(isNePal(mark(X))) constraint: __(mark(X1),X2) >= __(X1,X2) constraint: __(active(X1),X2) >= __(X1,X2) constraint: __(X1,mark(X2)) >= __(X1,X2) constraint: __(X1,active(X2)) >= __(X1,X2) constraint: active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) constraint: active(__(nil,X)) >= mark(X) constraint: active(__(X,nil)) >= mark(X) constraint: active(U12(tt)) >= mark(tt) constraint: active(U11(tt)) >= mark(U12(tt)) constraint: active(isNePal(__(I,__(P,I)))) >= mark(U11(tt)) constraint: U12(mark(X)) >= U12(X) constraint: U12(active(X)) >= U12(X) constraint: U11(mark(X)) >= U11(X) constraint: U11(active(X)) >= U11(X) constraint: isNePal(mark(X)) >= isNePal(X) constraint: isNePal(active(X)) >= isNePal(X) constraint: Marked_mark(__(X1,X2)) >= Marked_active(__(mark(X1),mark(X2))) constraint: Marked_active(__(__(X,Y),Z)) >= Marked_mark(__(X,__(Y,Z))) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked___ -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z))) [2] active(__(X,nil)) -> mark(X) [3] active(__(nil,X)) -> mark(X) [4] active(U11(tt)) -> mark(U12(tt)) [5] active(U12(tt)) -> mark(tt) [6] active(isNePal(__(I,__(P,I)))) -> mark(U11(tt)) [7] mark(__(X1,X2)) -> active(__(mark(X1),mark(X2))) [8] mark(nil) -> active(nil) [9] mark(U11(X)) -> active(U11(mark(X))) [10] mark(tt) -> active(tt) [11] mark(U12(X)) -> active(U12(mark(X))) [12] mark(isNePal(X)) -> active(isNePal(mark(X))) [13] __(mark(X1),X2) -> __(X1,X2) [14] __(X1,mark(X2)) -> __(X1,X2) [15] __(active(X1),X2) -> __(X1,X2) [16] __(X1,active(X2)) -> __(X1,X2) [17] U11(mark(X)) -> U11(X) [18] U11(active(X)) -> U11(X) [19] U12(mark(X)) -> U12(X) [20] U12(active(X)) -> U12(X) [21] isNePal(mark(X)) -> isNePal(X) [22] isNePal(active(X)) -> isNePal(X) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ U12 ] (X0) = 0; [ Marked_mark ] (X0) = 1; [ active ] (X0) = 0; [ U11 ] (X0) = 1; [ __ ] (X0,X1) = 1; [ tt ] () = 0; [ Marked_active ] (X0) = 1*X0; [ nil ] () = 0; [ isNePal ] (X0) = 1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U12 ] (X0) = 3*X0 + 2; [ Marked_mark ] (X0) = 3*X0 + 2; [ active ] (X0) = 1*X0; [ U11 ] (X0) = 3*X0 + 3; [ __ ] (X0,X1) = 1*X1 + 1*X0 + 2; [ tt ] () = 2; [ Marked_active ] (X0) = 3*X0 + 2; [ nil ] () = 0; [ isNePal ] (X0) = 3*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ U12 ] (X0) = 0; [ Marked_mark ] (X0) = 2; [ active ] (X0) = 0; [ U11 ] (X0) = 0; [ __ ] (X0,X1) = 2; [ tt ] () = 0; [ Marked_active ] (X0) = 1*X0; [ nil ] () = 0; [ isNePal ] (X0) = 1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ U12 ] (X0) = 0; [ Marked_mark ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ U11 ] (X0) = 0; [ __ ] (X0,X1) = 1*X1 + 2*X0; [ tt ] () = 0; [ Marked_active ] (X0) = 2*X0; [ nil ] () = 0; [ isNePal ] (X0) = 1*X0 + 1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 1*X0 + 0; [ U12 ] (X0) = 0; [ Marked_mark ] (X0) = 1 + 1*X0 + 0; [ active ] (X0) = 1*X0 + 0; [ U11 ] (X0) = 0; [ __ ] (X0,X1) = 2 + 2*X0 + 1*X1 + 0; [ tt ] () = 0; [ Marked_active ] (X0) = 1*X0 + 0; [ nil ] () = 2 + 0; [ isNePal ] (X0) = 0; ]} ]} ]} ]} ]} ]} ]} ]} ]} { 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 0.846150 seconds (real time) Cime Exit Status: 0