- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(s(X),X) -> f(X,a(X)) [2] f(X,c(X)) -> f(s(X),X) [3] f(X,X) -> c(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> } { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { f(s(X),X) >= f(X,a(X)) ; f(X,c(X)) >= f(s(X),X) ; f(X,X) >= c(X) ; Marked_f(X,c(X)) >= Marked_f(s(X),X) ; } + Disjunctions:{ { Marked_f(X,c(X)) > Marked_f(s(X),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: f(s(X),X) >= f(X,a(X)) constraint: f(X,c(X)) >= f(s(X),X) constraint: f(X,X) >= c(X) constraint: Marked_f(X,c(X)) >= Marked_f(s(X),X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { f(s(X),X) >= f(X,a(X)) ; f(X,c(X)) >= f(s(X),X) ; f(X,X) >= c(X) ; Marked_f(s(X),X) >= Marked_f(X,a(X)) ; } + Disjunctions:{ { Marked_f(s(X),X) > Marked_f(X,a(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: f(s(X),X) >= f(X,a(X)) constraint: f(X,c(X)) >= f(s(X),X) constraint: f(X,X) >= c(X) constraint: Marked_f(s(X),X) >= Marked_f(X,a(X)) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] f(s(X),X) -> f(X,a(X)) [2] f(X,c(X)) -> f(s(X),X) [3] f(X,X) -> c(X) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ f ] (X0,X1) = 3 + 1*X0 + 3*X1 + 0; [ Marked_f ] (X0,X1) = 3*X1 + 0; [ s ] (X0) = 3*X0 + 0; [ a ] (X0) = 0; [ c ] (X0) = 2 + 2*X0 + 0; ]} { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ f ] (X0,X1) = 3 + 3*X0 + 3*X1 + 0; [ Marked_f ] (X0,X1) = 3*X0 + 1*X1 + 0; [ s ] (X0) = 2 + 3*X0 + 0; [ a ] (X0) = 1*X0 + 0; [ c ] (X0) = 2 + 3*X0 + 0; ]} ]} ]} Cime worked for 0.029488 seconds (real time) Cime Exit Status: 0