- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] times(x,plus(y,1)) -> plus(times(x,plus(y,times(1,0))),x) [2] times(x,1) -> x [3] plus(x,0) -> x [4] times(x,0) -> 0 Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { plus(x,0) >= x ; times(x,plus(y,1)) >= plus(times(x,plus(y,times(1,0))),x) ; times(x,1) >= x ; times(x,0) >= 0 ; Marked_times(x,plus(y,1)) >= Marked_times(x,plus(y,times(1,0))) ; } + Disjunctions:{ { Marked_times(x,plus(y,1)) > Marked_times(x,plus(y,times(1,0))) ; } } === 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 : 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: plus(x,0) >= x constraint: times(x,plus(y,1)) >= plus(times(x,plus(y,times(1,0))),x) constraint: times(x,1) >= x constraint: times(x,0) >= 0 constraint: Marked_times(x,plus(y,1)) >= Marked_times(x,plus(y,times(1,0))) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] times(x,plus(y,1)) -> plus(times(x,plus(y,times(1,0))),x) [2] times(x,1) -> x [3] plus(x,0) -> x [4] times(x,0) -> 0 , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ plus ] (X0,X1) = 1*X0 + 1*X1 + 0; [ Marked_times ] (X0,X1) = 1*X1 + 0; [ 1 ] () = 1 + 0; [ times ] (X0,X1) = 1*X1*X0 + 0; [ 0 ] () = 0; ]} ]} ]} Cime worked for 0.313547 seconds (real time) Cime Exit Status: 0