- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] +(x,+(y,z)) -> +(+(x,y),z) [2] *(x,+(y,z)) -> +( *(x,y), *(x,z)) [3] +(+(x, *(y,z)), *(y,u)) -> +(x, *(y,+(z,u))) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { +(+(x, *(y,z)), *(y,u)) >= +(x, *(y,+(z,u))) ; +(x,+(y,z)) >= +(+(x,y),z) ; *(x,+(y,z)) >= +( *(x,y), *(x,z)) ; Marked_+(+(x, *(y,z)), *(y,u)) >= Marked_+(x, *(y,+(z,u))) ; Marked_+(+(x, *(y,z)), *(y,u)) >= Marked_+(z,u) ; Marked_+(+(x, *(y,z)), *(y,u)) >= Marked_*(y,+(z,u)) ; Marked_+(x,+(y,z)) >= Marked_+(+(x,y),z) ; Marked_+(x,+(y,z)) >= Marked_+(x,y) ; Marked_*(x,+(y,z)) >= Marked_+( *(x,y), *(x,z)) ; Marked_*(x,+(y,z)) >= Marked_*(x,y) ; Marked_*(x,+(y,z)) >= Marked_*(x,z) ; } + Disjunctions:{ { Marked_+(+(x, *(y,z)), *(y,u)) > Marked_+(x, *(y,+(z,u))) ; } { Marked_+(+(x, *(y,z)), *(y,u)) > Marked_+(z,u) ; } { Marked_+(+(x, *(y,z)), *(y,u)) > Marked_*(y,+(z,u)) ; } { Marked_+(x,+(y,z)) > Marked_+(+(x,y),z) ; } { Marked_+(x,+(y,z)) > Marked_+(x,y) ; } { Marked_*(x,+(y,z)) > Marked_+( *(x,y), *(x,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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: +(+(x, *(y,z)), *(y,u)) >= +(x, *(y,+(z,u))) constraint: +(x,+(y,z)) >= +(+(x,y),z) constraint: *(x,+(y,z)) >= +( *(x,y), *(x,z)) constraint: Marked_+(+(x, *(y,z)), *(y,u)) >= Marked_+(x, *(y,+(z,u))) constraint: Marked_+(+(x, *(y,z)), *(y,u)) >= Marked_+(z,u) constraint: Marked_+(+(x, *(y,z)), *(y,u)) >= Marked_*(y,+(z,u)) constraint: Marked_+(x,+(y,z)) >= Marked_+(+(x,y),z) constraint: Marked_+(x,+(y,z)) >= Marked_+(x,y) constraint: Marked_*(x,+(y,z)) >= Marked_+( *(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 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { +(+(x, *(y,z)), *(y,u)) >= +(x, *(y,+(z,u))) ; +(x,+(y,z)) >= +(+(x,y),z) ; *(x,+(y,z)) >= +( *(x,y), *(x,z)) ; Marked_+(+(x, *(y,z)), *(y,u)) >= Marked_+(x, *(y,+(z,u))) ; Marked_+(x,+(y,z)) >= Marked_+(+(x,y),z) ; } + Disjunctions:{ { Marked_+(+(x, *(y,z)), *(y,u)) > Marked_+(x, *(y,+(z,u))) ; } { Marked_+(x,+(y,z)) > Marked_+(+(x,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 === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. === TIMER virtual : 50.000000 === trying sub matrices of size: 1 Matrix interpretation constraints generated. Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. Termination constraints generated. Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 50.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (Simple graph) Found the following constraints: { +(+(x, *(y,z)), *(y,u)) >= +(x, *(y,+(z,u))) ; +(x,+(y,z)) >= +(+(x,y),z) ; *(x,+(y,z)) >= +( *(x,y), *(x,z)) ; Marked_+(+(x, *(y,z)), *(y,u)) > Marked_+(x, *(y,+(z,u))) ; Marked_+(x,+(y,z)) > Marked_+(+(x,y),z) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { +(+(x, *(y,z)), *(y,u)) >= +(x, *(y,+(z,u))) ; +(x,+(y,z)) >= +(+(x,y),z) ; *(x,+(y,z)) >= +( *(x,y), *(x,z)) ; Marked_+(+(x, *(y,z)), *(y,u)) > Marked_+(x, *(y,+(z,u))) ; Marked_+(x,+(y,z)) > Marked_+(+(x,y),z) ; } + Disjunctions:{ } === 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 === No solution found for these parameters.(18 bt (16) [8]) === 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 === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. === TIMER virtual : 50.000000 === trying sub matrices of size: 1 Matrix interpretation constraints generated. Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. Termination constraints generated. Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 50.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (ID_CRIT) NOT SOLVED No proof found Cime worked for 2.688144 seconds (real time) Cime Exit Status: 0