- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] U11(tt,M,N) -> U12(tt,activate(M),activate(N)) [2] U12(tt,M,N) -> s(plus(activate(N),activate(M))) [3] U21(tt,M,N) -> U22(tt,activate(M),activate(N)) [4] U22(tt,M,N) -> plus(x(activate(N),activate(M)),activate(N)) [5] plus(N,0) -> N [6] plus(N,s(M)) -> U11(tt,M,N) [7] x(N,0) -> 0 [8] x(N,s(M)) -> U21(tt,M,N) [9] activate(X) -> X Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> --> --> } { --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { U12(tt,M,N) >= s(plus(activate(N),activate(M))) ; activate(X) >= X ; U11(tt,M,N) >= U12(tt,activate(M),activate(N)) ; plus(N,s(M)) >= U11(tt,M,N) ; plus(N,0) >= N ; U22(tt,M,N) >= plus(x(activate(N),activate(M)),activate(N)) ; U21(tt,M,N) >= U22(tt,activate(M),activate(N)) ; x(N,s(M)) >= U21(tt,M,N) ; x(N,0) >= 0 ; Marked_x(N,s(M)) >= Marked_U21(tt,M,N) ; Marked_U21(tt,M,N) >= Marked_U22(tt,activate(M),activate(N)) ; Marked_U22(tt,M,N) >= Marked_x(activate(N),activate(M)) ; } + Disjunctions:{ { Marked_x(N,s(M)) > Marked_U21(tt,M,N) ; } { Marked_U21(tt,M,N) > Marked_U22(tt,activate(M),activate(N)) ; } { Marked_U22(tt,M,N) > Marked_x(activate(N),activate(M)) ; } } === 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: U12(tt,M,N) >= s(plus(activate(N),activate(M))) constraint: activate(X) >= X constraint: U11(tt,M,N) >= U12(tt,activate(M),activate(N)) constraint: plus(N,s(M)) >= U11(tt,M,N) constraint: plus(N,0) >= N constraint: U22(tt,M,N) >= plus(x(activate(N),activate(M)),activate(N)) constraint: U21(tt,M,N) >= U22(tt,activate(M),activate(N)) constraint: x(N,s(M)) >= U21(tt,M,N) constraint: x(N,0) >= 0 constraint: Marked_x(N,s(M)) >= Marked_U21(tt,M,N) constraint: Marked_U21(tt,M,N) >= Marked_U22(tt,activate(M),activate(N)) constraint: Marked_U22(tt,M,N) >= Marked_x(activate(N),activate(M)) APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { U12(tt,M,N) >= s(plus(activate(N),activate(M))) ; activate(X) >= X ; U11(tt,M,N) >= U12(tt,activate(M),activate(N)) ; plus(N,s(M)) >= U11(tt,M,N) ; plus(N,0) >= N ; U22(tt,M,N) >= plus(x(activate(N),activate(M)),activate(N)) ; U21(tt,M,N) >= U22(tt,activate(M),activate(N)) ; x(N,s(M)) >= U21(tt,M,N) ; x(N,0) >= 0 ; Marked_plus(N,s(M)) >= Marked_U11(tt,M,N) ; Marked_U11(tt,M,N) >= Marked_U12(tt,activate(M),activate(N)) ; Marked_U12(tt,M,N) >= Marked_plus(activate(N),activate(M)) ; } + Disjunctions:{ { Marked_plus(N,s(M)) > Marked_U11(tt,M,N) ; } { Marked_U11(tt,M,N) > Marked_U12(tt,activate(M),activate(N)) ; } { Marked_U12(tt,M,N) > Marked_plus(activate(N),activate(M)) ; } } === 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: U12(tt,M,N) >= s(plus(activate(N),activate(M))) constraint: activate(X) >= X constraint: U11(tt,M,N) >= U12(tt,activate(M),activate(N)) constraint: plus(N,s(M)) >= U11(tt,M,N) constraint: plus(N,0) >= N constraint: U22(tt,M,N) >= plus(x(activate(N),activate(M)),activate(N)) constraint: U21(tt,M,N) >= U22(tt,activate(M),activate(N)) constraint: x(N,s(M)) >= U21(tt,M,N) constraint: x(N,0) >= 0 constraint: Marked_plus(N,s(M)) >= Marked_U11(tt,M,N) constraint: Marked_U11(tt,M,N) >= Marked_U12(tt,activate(M),activate(N)) constraint: Marked_U12(tt,M,N) >= Marked_plus(activate(N),activate(M)) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] U11(tt,M,N) -> U12(tt,activate(M),activate(N)) [2] U12(tt,M,N) -> s(plus(activate(N),activate(M))) [3] U21(tt,M,N) -> U22(tt,activate(M),activate(N)) [4] U22(tt,M,N) -> plus(x(activate(N),activate(M)),activate(N)) [5] plus(N,0) -> N [6] plus(N,s(M)) -> U11(tt,M,N) [7] x(N,0) -> 0 [8] x(N,s(M)) -> U21(tt,M,N) [9] activate(X) -> X , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ U12 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2*X0 + 1; [ x ] (X0,X1) = 2*X1*X0; [ s ] (X0) = 1*X0 + 1; [ Marked_U21 ] (X0,X1,X2) = 2*X2*X0 + 1*X1; [ activate ] (X0) = 1*X0; [ U22 ] (X0,X1,X2) = 2*X2*X1 + 1*X2; [ tt ] () = 0; [ 0 ] () = 0; [ plus ] (X0,X1) = 1*X1 + 1*X0; [ U11 ] (X0,X1,X2) = 2*X2*X1*X0 + 2*X2*X0 + 1*X2 + 2*X1*X0 + 1*X1 + 2*X0 + 1; [ Marked_x ] (X0,X1) = 1*X1; [ U21 ] (X0,X1,X2) = 2*X2*X1 + 2*X2*X0 + 1*X2; [ Marked_U22 ] (X0,X1,X2) = 1*X1; removing [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: CG using polynomial interpretation = [ U12 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2*X0 + 2; [ Marked_U12 ] (X0,X1,X2) = 1*X1 + 2*X0; [ x ] (X0,X1) = 1*X1*X0; [ s ] (X0) = 1*X0 + 2; [ activate ] (X0) = 1*X0; [ U22 ] (X0,X1,X2) = 1*X2*X1 + 2*X2; [ Marked_U11 ] (X0,X1,X2) = 1*X1 + 2*X0; [ tt ] () = 0; [ 0 ] () = 0; [ plus ] (X0,X1) = 1*X1 + 1*X0; [ Marked_plus ] (X0,X1) = 1*X1; [ U11 ] (X0,X1,X2) = 1*X2 + 2*X1*X0 + 1*X1 + 2; [ U21 ] (X0,X1,X2) = 2*X2*X1*X0 + 1*X2*X1 + 2*X2 + 2*X1*X0 + 2*X0; removing [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} Cime worked for 42.047211 seconds (real time) Cime Exit Status: 0