- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(+(x,0)) -> f(x) [2] +(x,+(y,z)) -> +(+(x,y),z) 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(+(x,0)) >= f(x) ; +(x,+(y,z)) >= +(+(x,y),z) ; Marked_f(+(x,0)) >= Marked_f(x) ; } + Disjunctions:{ { Marked_f(+(x,0)) > Marked_f(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(+(x,0)) >= f(x) constraint: +(x,+(y,z)) >= +(+(x,y),z) constraint: Marked_f(+(x,0)) >= Marked_f(x) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { f(+(x,0)) >= f(x) ; +(x,+(y,z)) >= +(+(x,y),z) ; Marked_+(x,+(y,z)) >= Marked_+(+(x,y),z) ; Marked_+(x,+(y,z)) >= Marked_+(x,y) ; } + Disjunctions:{ { Marked_+(x,+(y,z)) > Marked_+(+(x,y),z) ; } { Marked_+(x,+(y,z)) > Marked_+(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: f(+(x,0)) >= f(x) constraint: +(x,+(y,z)) >= +(+(x,y),z) constraint: Marked_+(x,+(y,z)) >= Marked_+(+(x,y),z) constraint: Marked_+(x,+(y,z)) >= Marked_+(x,y) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] f(+(x,0)) -> f(x) [2] +(x,+(y,z)) -> +(+(x,y),z) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ f ] (X0) = 3*X0 + 0; [ Marked_f ] (X0) = 1*X0 + 0; [ 0 ] () = 1 + 0; [ + ] (X0,X1) = 1*X0 + 1*X1 + 0; ]} { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ f ] (X0) = 3*X0 + 0; [ 0 ] () = 3 + 0; [ + ] (X0,X1) = 2 + 1*X0 + 1*X1 + 0; [ Marked_+ ] (X0,X1) = 3*X1 + 0; ]} ]} ]} Cime worked for 0.027868 seconds (real time) Cime Exit Status: 0