- : 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(and(tt,X)) -> mark(X) [5] active(isNePal(__(I,__(P,I)))) -> mark(tt) [6] active(__(X1,X2)) -> __(active(X1),X2) [7] active(__(X1,X2)) -> __(X1,active(X2)) [8] active(and(X1,X2)) -> and(active(X1),X2) [9] active(isNePal(X)) -> isNePal(active(X)) [10] __(mark(X1),X2) -> mark(__(X1,X2)) [11] __(X1,mark(X2)) -> mark(__(X1,X2)) [12] and(mark(X1),X2) -> mark(and(X1,X2)) [13] isNePal(mark(X)) -> mark(isNePal(X)) [14] proper(__(X1,X2)) -> __(proper(X1),proper(X2)) [15] proper(nil) -> ok(nil) [16] proper(and(X1,X2)) -> and(proper(X1),proper(X2)) [17] proper(tt) -> ok(tt) [18] proper(isNePal(X)) -> isNePal(proper(X)) [19] __(ok(X1),ok(X2)) -> ok(__(X1,X2)) [20] and(ok(X1),ok(X2)) -> ok(and(X1,X2)) [21] isNePal(ok(X)) -> ok(isNePal(X)) [22] top(mark(X)) -> top(proper(X)) [23] top(ok(X)) -> top(active(X)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 6 components: { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_top(mark(X)) >= Marked_top(proper(X)) ; Marked_top(ok(X)) >= Marked_top(active(X)) ; } + Disjunctions:{ { Marked_top(mark(X)) > Marked_top(proper(X)) ; } { Marked_top(ok(X)) > Marked_top(active(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(X1),X2) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_top(mark(X)) >= Marked_top(proper(X)) constraint: Marked_top(ok(X)) >= Marked_top(active(X)) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_proper(__(X1,X2)) >= Marked_proper(X1) ; Marked_proper(__(X1,X2)) >= Marked_proper(X2) ; Marked_proper(and(X1,X2)) >= Marked_proper(X1) ; Marked_proper(and(X1,X2)) >= Marked_proper(X2) ; Marked_proper(isNePal(X)) >= Marked_proper(X) ; } + Disjunctions:{ { Marked_proper(__(X1,X2)) > Marked_proper(X1) ; } { Marked_proper(__(X1,X2)) > Marked_proper(X2) ; } { Marked_proper(and(X1,X2)) > Marked_proper(X1) ; } { Marked_proper(and(X1,X2)) > Marked_proper(X2) ; } { Marked_proper(isNePal(X)) > Marked_proper(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(X1),X2) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_proper(__(X1,X2)) >= Marked_proper(X1) constraint: Marked_proper(__(X1,X2)) >= Marked_proper(X2) constraint: Marked_proper(and(X1,X2)) >= Marked_proper(X1) constraint: Marked_proper(and(X1,X2)) >= Marked_proper(X2) constraint: Marked_proper(isNePal(X)) >= Marked_proper(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_active(__(X1,X2)) >= Marked_active(X1) ; Marked_active(__(X1,X2)) >= Marked_active(X2) ; Marked_active(and(X1,X2)) >= Marked_active(X1) ; Marked_active(isNePal(X)) >= Marked_active(X) ; } + Disjunctions:{ { Marked_active(__(X1,X2)) > Marked_active(X1) ; } { Marked_active(__(X1,X2)) > Marked_active(X2) ; } { Marked_active(and(X1,X2)) > Marked_active(X1) ; } { Marked_active(isNePal(X)) > Marked_active(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(X1),X2) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_active(__(X1,X2)) >= Marked_active(X1) constraint: Marked_active(__(X1,X2)) >= Marked_active(X2) constraint: Marked_active(and(X1,X2)) >= Marked_active(X1) constraint: Marked_active(isNePal(X)) >= Marked_active(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked___(mark(X1),X2) >= Marked___(X1,X2) ; Marked___(ok(X1),ok(X2)) >= Marked___(X1,X2) ; Marked___(X1,mark(X2)) >= Marked___(X1,X2) ; } + Disjunctions:{ { Marked___(mark(X1),X2) > Marked___(X1,X2) ; } { Marked___(ok(X1),ok(X2)) > Marked___(X1,X2) ; } { Marked___(X1,mark(X2)) > Marked___(X1,X2) ; } } === 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) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked___(mark(X1),X2) >= Marked___(X1,X2) constraint: Marked___(ok(X1),ok(X2)) >= Marked___(X1,X2) constraint: Marked___(X1,mark(X2)) >= Marked___(X1,X2) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_and(mark(X1),X2) >= Marked_and(X1,X2) ; Marked_and(ok(X1),ok(X2)) >= Marked_and(X1,X2) ; } + Disjunctions:{ { Marked_and(mark(X1),X2) > Marked_and(X1,X2) ; } { Marked_and(ok(X1),ok(X2)) > Marked_and(X1,X2) ; } } === 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) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_and(mark(X1),X2) >= Marked_and(X1,X2) constraint: Marked_and(ok(X1),ok(X2)) >= Marked_and(X1,X2) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_isNePal(mark(X)) >= Marked_isNePal(X) ; Marked_isNePal(ok(X)) >= Marked_isNePal(X) ; } + Disjunctions:{ { Marked_isNePal(mark(X)) > Marked_isNePal(X) ; } { Marked_isNePal(ok(X)) > Marked_isNePal(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(X1),X2) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_isNePal(mark(X)) >= Marked_isNePal(X) constraint: Marked_isNePal(ok(X)) >= Marked_isNePal(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_top(ok(X)) >= Marked_top(active(X)) ; } + Disjunctions:{ { Marked_top(ok(X)) > Marked_top(active(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(X1),X2) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_top(ok(X)) >= Marked_top(active(X)) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_proper(__(X1,X2)) >= Marked_proper(X1) ; Marked_proper(__(X1,X2)) >= Marked_proper(X2) ; Marked_proper(isNePal(X)) >= Marked_proper(X) ; } + Disjunctions:{ { Marked_proper(__(X1,X2)) > Marked_proper(X1) ; } { Marked_proper(__(X1,X2)) > Marked_proper(X2) ; } { Marked_proper(isNePal(X)) > Marked_proper(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(X1),X2) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_proper(__(X1,X2)) >= Marked_proper(X1) constraint: Marked_proper(__(X1,X2)) >= Marked_proper(X2) constraint: Marked_proper(isNePal(X)) >= Marked_proper(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_proper(__(X1,X2)) >= Marked_proper(X1) ; Marked_proper(__(X1,X2)) >= Marked_proper(X2) ; } + Disjunctions:{ { Marked_proper(__(X1,X2)) > Marked_proper(X1) ; } { Marked_proper(__(X1,X2)) > Marked_proper(X2) ; } } === 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) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_proper(__(X1,X2)) >= Marked_proper(X1) constraint: Marked_proper(__(X1,X2)) >= Marked_proper(X2) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_active(__(X1,X2)) >= Marked_active(X1) ; Marked_active(__(X1,X2)) >= Marked_active(X2) ; Marked_active(isNePal(X)) >= Marked_active(X) ; } + Disjunctions:{ { Marked_active(__(X1,X2)) > Marked_active(X1) ; } { Marked_active(__(X1,X2)) > Marked_active(X2) ; } { Marked_active(isNePal(X)) > Marked_active(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(X1),X2) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_active(__(X1,X2)) >= Marked_active(X1) constraint: Marked_active(__(X1,X2)) >= Marked_active(X2) constraint: Marked_active(isNePal(X)) >= Marked_active(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_active(isNePal(X)) >= Marked_active(X) ; } + Disjunctions:{ { Marked_active(isNePal(X)) > Marked_active(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(X1),X2) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_active(isNePal(X)) >= Marked_active(X) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked___(mark(X1),X2) >= Marked___(X1,X2) ; Marked___(ok(X1),ok(X2)) >= Marked___(X1,X2) ; } + Disjunctions:{ { Marked___(mark(X1),X2) > Marked___(X1,X2) ; } { Marked___(ok(X1),ok(X2)) > Marked___(X1,X2) ; } } === 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) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked___(mark(X1),X2) >= Marked___(X1,X2) constraint: Marked___(ok(X1),ok(X2)) >= Marked___(X1,X2) APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked___(mark(X1),X2) >= Marked___(X1,X2) ; } + Disjunctions:{ { Marked___(mark(X1),X2) > Marked___(X1,X2) ; } } === 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) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked___(mark(X1),X2) >= Marked___(X1,X2) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_and(mark(X1),X2) >= Marked_and(X1,X2) ; } + Disjunctions:{ { Marked_and(mark(X1),X2) > Marked_and(X1,X2) ; } } === 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) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_and(mark(X1),X2) >= Marked_and(X1,X2) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(and(tt,X)) >= mark(X) ; active(and(X1,X2)) >= and(active(X1),X2) ; active(isNePal(__(I,__(P,I)))) >= mark(tt) ; active(isNePal(X)) >= isNePal(active(X)) ; and(mark(X1),X2) >= mark(and(X1,X2)) ; and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ; isNePal(mark(X)) >= mark(isNePal(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(isNePal(X)) >= isNePal(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_isNePal(ok(X)) >= Marked_isNePal(X) ; } + Disjunctions:{ { Marked_isNePal(ok(X)) > Marked_isNePal(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(X1),X2) >= mark(__(X1,X2)) constraint: __(ok(X1),ok(X2)) >= ok(__(X1,X2)) constraint: __(X1,mark(X2)) >= mark(__(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(__(X1,X2)) >= __(active(X1),X2) constraint: active(__(X1,X2)) >= __(X1,active(X2)) constraint: active(and(tt,X)) >= mark(X) constraint: active(and(X1,X2)) >= and(active(X1),X2) constraint: active(isNePal(__(I,__(P,I)))) >= mark(tt) constraint: active(isNePal(X)) >= isNePal(active(X)) constraint: and(mark(X1),X2) >= mark(and(X1,X2)) constraint: and(ok(X1),ok(X2)) >= ok(and(X1,X2)) constraint: isNePal(mark(X)) >= mark(isNePal(X)) constraint: isNePal(ok(X)) >= ok(isNePal(X)) constraint: proper(__(X1,X2)) >= __(proper(X1),proper(X2)) constraint: proper(nil) >= ok(nil) constraint: proper(and(X1,X2)) >= and(proper(X1),proper(X2)) constraint: proper(tt) >= ok(tt) constraint: proper(isNePal(X)) >= isNePal(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_isNePal(ok(X)) >= Marked_isNePal(X) 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(and(tt,X)) -> mark(X) [5] active(isNePal(__(I,__(P,I)))) -> mark(tt) [6] active(__(X1,X2)) -> __(active(X1),X2) [7] active(__(X1,X2)) -> __(X1,active(X2)) [8] active(and(X1,X2)) -> and(active(X1),X2) [9] active(isNePal(X)) -> isNePal(active(X)) [10] __(mark(X1),X2) -> mark(__(X1,X2)) [11] __(X1,mark(X2)) -> mark(__(X1,X2)) [12] and(mark(X1),X2) -> mark(and(X1,X2)) [13] isNePal(mark(X)) -> mark(isNePal(X)) [14] proper(__(X1,X2)) -> __(proper(X1),proper(X2)) [15] proper(nil) -> ok(nil) [16] proper(and(X1,X2)) -> and(proper(X1),proper(X2)) [17] proper(tt) -> ok(tt) [18] proper(isNePal(X)) -> isNePal(proper(X)) [19] __(ok(X1),ok(X2)) -> ok(__(X1,X2)) [20] and(ok(X1),ok(X2)) -> ok(and(X1,X2)) [21] isNePal(ok(X)) -> ok(isNePal(X)) [22] top(mark(X)) -> top(proper(X)) [23] top(ok(X)) -> top(active(X)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0 + 2; [ ok ] (X0) = 1*X0; [ and ] (X0,X1) = 1*X1 + 1*X0 + 2; [ active ] (X0) = 1*X0; [ Marked_top ] (X0) = 1*X0; [ isNePal ] (X0) = 3*X0 + 2; [ __ ] (X0,X1) = 1*X1 + 3*X0 + 1; [ top ] (X0) = 0; [ tt ] () = 0; [ nil ] () = 2; [ proper ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 2 + 2*X0 + 0; [ and ] (X0,X1) = 1*X1 + 0; [ active ] (X0) = 2*X0 + 0; [ Marked_top ] (X0) = 3*X0 + 0; [ isNePal ] (X0) = 1*X0 + 0; [ __ ] (X0,X1) = 2 + 1*X0 + 2*X1 + 0; [ top ] (X0) = 0; [ tt ] () = 2 + 0; [ nil ] () = 0; [ proper ] (X0) = 2 + 3*X0 + 0; ]} ]} ]} { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 0; [ and ] (X0,X1) = 2*X1 + 2*X0 + 1; [ Marked_proper ] (X0) = 3*X0; [ active ] (X0) = 2*X0; [ isNePal ] (X0) = 2*X0; [ __ ] (X0,X1) = 2*X1 + 1*X0; [ top ] (X0) = 0; [ tt ] () = 0; [ nil ] () = 0; [ proper ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 0; [ and ] (X0,X1) = 1; [ Marked_proper ] (X0) = 3*X0; [ active ] (X0) = 1*X0; [ isNePal ] (X0) = 1*X0 + 2; [ __ ] (X0,X1) = 2*X1 + 2*X0; [ top ] (X0) = 0; [ tt ] () = 0; [ nil ] () = 1; [ proper ] (X0) = 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 0; [ and ] (X0,X1) = 0; [ Marked_proper ] (X0) = 3*X0 + 0; [ active ] (X0) = 2*X0 + 0; [ isNePal ] (X0) = 2*X0 + 0; [ __ ] (X0,X1) = 1 + 2*X0 + 1*X1 + 0; [ top ] (X0) = 0; [ tt ] () = 0; [ nil ] () = 2 + 0; [ proper ] (X0) = 1*X0 + 0; ]} ]} ]} ]} ]} { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 0; [ and ] (X0,X1) = 1*X0 + 1; [ active ] (X0) = 1*X0; [ isNePal ] (X0) = 1*X0; [ __ ] (X0,X1) = 2*X1 + 2*X0; [ top ] (X0) = 0; [ tt ] () = 2; [ nil ] () = 2; [ Marked_active ] (X0) = 3*X0; [ proper ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 0; [ and ] (X0,X1) = 0; [ active ] (X0) = 2*X0; [ isNePal ] (X0) = 1*X0; [ __ ] (X0,X1) = 2*X1 + 2*X0 + 1; [ top ] (X0) = 0; [ tt ] () = 2; [ nil ] () = 0; [ Marked_active ] (X0) = 3*X0; [ proper ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 2 + 2*X0 + 0; [ and ] (X0,X1) = 1*X1 + 0; [ active ] (X0) = 2*X0 + 0; [ isNePal ] (X0) = 2 + 3*X0 + 0; [ __ ] (X0,X1) = 2 + 3*X0 + 0; [ top ] (X0) = 0; [ tt ] () = 0; [ nil ] () = 0; [ Marked_active ] (X0) = 3*X0 + 0; [ proper ] (X0) = 2 + 3*X0 + 0; ]} ]} ]} ]} ]} { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0 + 1; [ ok ] (X0) = 1*X0; [ and ] (X0,X1) = 2*X1 + 2*X0; [ active ] (X0) = 1*X0; [ isNePal ] (X0) = 2*X0; [ __ ] (X0,X1) = 1*X1 + 3*X0 + 1; [ top ] (X0) = 0; [ tt ] () = 2; [ nil ] () = 0; [ proper ] (X0) = 1*X0; [ Marked___ ] (X0,X1) = 2*X1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 2*X0 + 1; [ and ] (X0,X1) = 3*X1 + 2*X0 + 3; [ active ] (X0) = 1*X0; [ isNePal ] (X0) = 1*X0; [ __ ] (X0,X1) = 1*X1; [ top ] (X0) = 0; [ tt ] () = 1; [ nil ] () = 1; [ proper ] (X0) = 3*X0; [ Marked___ ] (X0,X1) = 1*X1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 2 + 1*X0 + 0; [ ok ] (X0) = 0; [ and ] (X0,X1) = 1*X0 + 2*X1 + 0; [ active ] (X0) = 1 + 3*X0 + 0; [ isNePal ] (X0) = 1 + 2*X0 + 0; [ __ ] (X0,X1) = 1 + 2*X0 + 1*X1 + 0; [ top ] (X0) = 0; [ tt ] () = 1 + 0; [ nil ] () = 0; [ proper ] (X0) = 1*X0 + 0; [ Marked___ ] (X0,X1) = 3*X0 + 0; ]} ]} ]} ]} ]} { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 2*X0 + 1; [ and ] (X0,X1) = 1*X1; [ active ] (X0) = 1*X0; [ isNePal ] (X0) = 1*X0; [ Marked_and ] (X0,X1) = 1*X1; [ __ ] (X0,X1) = 1*X0; [ top ] (X0) = 0; [ tt ] () = 0; [ nil ] () = 0; [ proper ] (X0) = 1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 2 + 1*X0 + 0; [ ok ] (X0) = 0; [ and ] (X0,X1) = 1*X0 + 2*X1 + 0; [ active ] (X0) = 2*X0 + 0; [ isNePal ] (X0) = 2 + 2*X0 + 0; [ Marked_and ] (X0,X1) = 3*X0 + 0; [ __ ] (X0,X1) = 2 + 2*X0 + 2*X1 + 0; [ top ] (X0) = 0; [ tt ] () = 1 + 0; [ nil ] () = 0; [ proper ] (X0) = 2*X0 + 0; ]} ]} ]} { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0 + 1; [ ok ] (X0) = 2*X0; [ and ] (X0,X1) = 1*X1 + 1*X0; [ active ] (X0) = 1*X0 + 1; [ isNePal ] (X0) = 1*X0; [ __ ] (X0,X1) = 1*X1 + 1*X0; [ top ] (X0) = 0; [ tt ] () = 0; [ Marked_isNePal ] (X0) = 3*X0; [ nil ] () = 0; [ proper ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 2 + 1*X0 + 0; [ ok ] (X0) = 1 + 1*X0 + 0; [ and ] (X0,X1) = 2*X0 + 1*X1 + 0; [ active ] (X0) = 2*X0 + 0; [ isNePal ] (X0) = 2 + 2*X0 + 0; [ __ ] (X0,X1) = 1 + 2*X0 + 1*X1 + 0; [ top ] (X0) = 0; [ tt ] () = 2 + 0; [ Marked_isNePal ] (X0) = 3*X0 + 0; [ nil ] () = 2 + 0; [ proper ] (X0) = 2*X0 + 0; ]} ]} ]} ]} ]} Cime worked for 1.362923 seconds (real time) Cime Exit Status: 0