- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] +(x,+(y,z)) -> +(+(x,y),z) [2] +( *(x,y),+(x,z)) -> *(x,+(y,z)) [3] +( *(x,y),+( *(x,z),u)) -> +( *(x,+(y,z)),u) 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),+( *(x,z),u)) >= +( *(x,+(y,z)),u) ; +( *(x,y),+(x,z)) >= *(x,+(y,z)) ; +(x,+(y,z)) >= +(+(x,y),z) ; Marked_+( *(x,y),+( *(x,z),u)) >= Marked_+( *(x,+(y,z)),u) ; Marked_+( *(x,y),+( *(x,z),u)) >= Marked_+(y,z) ; Marked_+( *(x,y),+(x,z)) >= Marked_+(y,z) ; Marked_+(x,+(y,z)) >= Marked_+(+(x,y),z) ; Marked_+(x,+(y,z)) >= Marked_+(x,y) ; } + Disjunctions:{ { Marked_+( *(x,y),+( *(x,z),u)) > Marked_+( *(x,+(y,z)),u) ; } { Marked_+( *(x,y),+( *(x,z),u)) > Marked_+(y,z) ; } { Marked_+( *(x,y),+(x,z)) > Marked_+(y,z) ; } { 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: +( *(x,y),+( *(x,z),u)) >= +( *(x,+(y,z)),u) constraint: +( *(x,y),+(x,z)) >= *(x,+(y,z)) constraint: +(x,+(y,z)) >= +(+(x,y),z) constraint: Marked_+( *(x,y),+( *(x,z),u)) >= Marked_+( *(x,+(y,z)),u) constraint: Marked_+( *(x,y),+( *(x,z),u)) >= Marked_+(y,z) constraint: Marked_+( *(x,y),+(x,z)) >= Marked_+(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: SOLVED { TRS termination of: [1] +(x,+(y,z)) -> +(+(x,y),z) [2] +( *(x,y),+(x,z)) -> *(x,+(y,z)) [3] +( *(x,y),+( *(x,z),u)) -> +( *(x,+(y,z)),u) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ + ] (X0,X1) = 2 + 1*X0 + 3*X1 + 0; [ Marked_+ ] (X0,X1) = 3*X1 + 0; [ * ] (X0,X1) = 2*X0 + 3*X1 + 0; ]} ]} ]} Cime worked for 0.052861 seconds (real time) Cime Exit Status: 0