- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] *(x,+(y,z)) -> +( *(x,y), *(x,z)) [2] *(+(y,z),x) -> +( *(x,y), *(x,z)) [3] *( *(x,y),z) -> *(x, *(y,z)) [4] +(+(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: { +(+(x,y),z) >= +(x,+(y,z)) ; *(+(y,z),x) >= +( *(x,y), *(x,z)) ; *( *(x,y),z) >= *(x, *(y,z)) ; *(x,+(y,z)) >= +( *(x,y), *(x,z)) ; Marked_*(+(y,z),x) >= Marked_*(x,y) ; Marked_*(+(y,z),x) >= Marked_*(x,z) ; Marked_*( *(x,y),z) >= Marked_*(x, *(y,z)) ; Marked_*( *(x,y),z) >= Marked_*(y,z) ; Marked_*(x,+(y,z)) >= Marked_*(x,y) ; Marked_*(x,+(y,z)) >= Marked_*(x,z) ; } + Disjunctions:{ { Marked_*(+(y,z),x) > Marked_*(x,y) ; } { Marked_*(+(y,z),x) > Marked_*(x,z) ; } { Marked_*( *(x,y),z) > Marked_*(x, *(y,z)) ; } { Marked_*( *(x,y),z) > Marked_*(y,z) ; } { Marked_*(x,+(y,z)) > Marked_*(x,y) ; } { 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 === 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 : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === 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: +(+(x,y),z) >= +(x,+(y,z)) constraint: *(+(y,z),x) >= +( *(x,y), *(x,z)) constraint: *( *(x,y),z) >= *(x, *(y,z)) constraint: *(x,+(y,z)) >= +( *(x,y), *(x,z)) constraint: Marked_*(+(y,z),x) >= Marked_*(x,y) constraint: Marked_*(+(y,z),x) >= Marked_*(x,z) constraint: Marked_*( *(x,y),z) >= Marked_*(x, *(y,z)) constraint: Marked_*( *(x,y),z) >= Marked_*(y,z) constraint: Marked_*(x,+(y,z)) >= Marked_*(x,y) constraint: Marked_*(x,+(y,z)) >= Marked_*(x,z) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { +(+(x,y),z) >= +(x,+(y,z)) ; *(+(y,z),x) >= +( *(x,y), *(x,z)) ; *( *(x,y),z) >= *(x, *(y,z)) ; *(x,+(y,z)) >= +( *(x,y), *(x,z)) ; Marked_+(+(x,y),z) >= Marked_+(x,+(y,z)) ; Marked_+(+(x,y),z) >= Marked_+(y,z) ; } + Disjunctions:{ { Marked_+(+(x,y),z) > Marked_+(x,+(y,z)) ; } { Marked_+(+(x,y),z) > Marked_+(y,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 === 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 : 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: +(+(x,y),z) >= +(x,+(y,z)) constraint: *(+(y,z),x) >= +( *(x,y), *(x,z)) constraint: *( *(x,y),z) >= *(x, *(y,z)) constraint: *(x,+(y,z)) >= +( *(x,y), *(x,z)) constraint: Marked_+(+(x,y),z) >= Marked_+(x,+(y,z)) constraint: Marked_+(+(x,y),z) >= Marked_+(y,z) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { +(+(x,y),z) >= +(x,+(y,z)) ; *(+(y,z),x) >= +( *(x,y), *(x,z)) ; *( *(x,y),z) >= *(x, *(y,z)) ; *(x,+(y,z)) >= +( *(x,y), *(x,z)) ; Marked_*(x,+(y,z)) >= Marked_*(x,y) ; Marked_*(x,+(y,z)) >= Marked_*(x,z) ; } + Disjunctions:{ { Marked_*(x,+(y,z)) > Marked_*(x,y) ; } { 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 === 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 : 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: +(+(x,y),z) >= +(x,+(y,z)) constraint: *(+(y,z),x) >= +( *(x,y), *(x,z)) constraint: *( *(x,y),z) >= *(x, *(y,z)) constraint: *(x,+(y,z)) >= +( *(x,y), *(x,z)) constraint: Marked_*(x,+(y,z)) >= Marked_*(x,y) constraint: Marked_*(x,+(y,z)) >= Marked_*(x,z) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] *(x,+(y,z)) -> +( *(x,y), *(x,z)) [2] *(+(y,z),x) -> +( *(x,y), *(x,z)) [3] *( *(x,y),z) -> *(x, *(y,z)) [4] +(+(x,y),z) -> +(x,+(y,z)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ + ] (X0,X1) = 1*X1 + 2*X0 + 2; [ * ] (X0,X1) = 2*X1*X0 + 2*X1 + 2*X0 + 1; [ Marked_* ] (X0,X1) = 2*X1*X0 + 2*X0; removing < Marked_*( *(x,y),z),Marked_*(x, *(y,z))> [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ + ] (X0,X1) = 2 + 2*X0 + 1*X1 + 0; [ * ] (X0,X1) = 1*X0 + 1*X1 + 2*X1*X0 + 0; [ Marked_* ] (X0,X1) = 1*X1 + 2*X1*X0 + 0; ]} ]} ]} { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ + ] (X0,X1) = 2 + 1*X0 + 1*X1 + 0; [ Marked_+ ] (X0,X1) = 2*X0 + 1*X1 + 0; [ * ] (X0,X1) = 2*X0 + 1*X1 + 2*X1*X0 + 0; ]} ]} ]} Cime worked for 0.270246 seconds (real time) Cime Exit Status: 0