- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] dfib(s(s(x)),y) -> dfib(s(x),dfib(x,y)) 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: { dfib(s(s(x)),y) >= dfib(s(x),dfib(x,y)) ; Marked_dfib(s(s(x)),y) >= Marked_dfib(s(x),dfib(x,y)) ; Marked_dfib(s(s(x)),y) >= Marked_dfib(x,y) ; } + Disjunctions:{ { Marked_dfib(s(s(x)),y) > Marked_dfib(s(x),dfib(x,y)) ; } { Marked_dfib(s(s(x)),y) > Marked_dfib(x,y) ; } } === 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: dfib(s(s(x)),y) >= dfib(s(x),dfib(x,y)) constraint: Marked_dfib(s(s(x)),y) >= Marked_dfib(s(x),dfib(x,y)) constraint: Marked_dfib(s(s(x)),y) >= Marked_dfib(x,y) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] dfib(s(s(x)),y) -> dfib(s(x),dfib(x,y)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ dfib ] (X0,X1) = 2 + 2*X0 + 1*X1 + 0; [ Marked_dfib ] (X0,X1) = 3*X0 + 1*X1 + 0; [ s ] (X0) = 2 + 2*X0 + 0; ]} ]} ]} Cime worked for 0.021494 seconds (real time) Cime Exit Status: 0