- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] +(-(x,y),z) -> -(+(x,z),y) [2] -(+(x,y),y) -> x 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: { -(+(x,y),y) >= x ; +(-(x,y),z) >= -(+(x,z),y) ; Marked_+(-(x,y),z) >= Marked_+(x,z) ; } + Disjunctions:{ { Marked_+(-(x,y),z) > Marked_+(x,z) ; } } === 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: -(+(x,y),y) >= x constraint: +(-(x,y),z) >= -(+(x,z),y) constraint: Marked_+(-(x,y),z) >= Marked_+(x,z) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] +(-(x,y),z) -> -(+(x,z),y) [2] -(+(x,y),y) -> x , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ - ] (X0,X1) = 2 + 1*X0 + 3*X1 + 0; [ + ] (X0,X1) = 2*X0 + 3*X1 + 0; [ Marked_+ ] (X0,X1) = 3*X0 + 0; ]} ]} ]} Cime worked for 0.012272 seconds (real time) Cime Exit Status: 0