- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) -> f(a,f(b,f(a,f(a,f(b,f(a,f(a,f(a,f(b,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: { f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= f(a, f(b, f(a, f(a,f(b,f(a,f(a,f(a,f(b,x))))))))) ; Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a,f(a,f(a,f(b,x)))) ; Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a, f(a, f(b,f(a,f(a,f(a,f(b,x))))))) ; Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a,f(a,f(b,x))) ; Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a, f(b,f(a,f(a,f(a,f(b,x)))))) ; Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a, f(b, f(a, f(a, f(b,f(a,f(a,f(a,f(b,x))))))) )) ; Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a,f(b,x)) ; } + Disjunctions:{ { Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) > Marked_f(a,f(a,f(a,f(b,x)))) ; } { Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) > Marked_f(a, f(a, f(b,f(a,f(a,f(a,f(b,x))))))) ; } { Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) > Marked_f(a,f(a,f(b,x))) ; } { Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) > Marked_f(a, f(b,f(a,f(a,f(a,f(b,x)))))) ; } { Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) > Marked_f(a, f(b, f(a, f(a, f(b,f(a,f(a,f(a,f(b,x)))))))) ) ; } { Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) > Marked_f(a,f(b,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(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= f(a, f(b, f(a, f(a, f(b, f(a,f(a,f(a,f(b,x))))))) )) constraint: Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a, f(a,f(a,f(b,x)))) constraint: Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a, f(a, f(b, f(a, f(a,f(a,f(b,x))))) )) constraint: Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a, f(a,f(b,x))) constraint: Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a, f(b, f(a, f(a,f(a,f(b,x)))))) constraint: Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a, f(b, f(a, f(a, f(b, f(a, f(a, f(a,f(b,x)))))) ))) constraint: Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a,f(b,x)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= f(a, f(b, f(a, f(a,f(b,f(a,f(a,f(a,f(b,x))))))))) ; Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a,f(a,f(a,f(b,x)))) ; Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a, f(a, f(b,f(a,f(a,f(a,f(b,x))))))) ; Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) >= Marked_f(a,f(a,f(b,x))) ; } + Disjunctions:{ { Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) > Marked_f(a,f(a,f(a,f(b,x)))) ; } { Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) > Marked_f(a, f(a, f(b,f(a,f(a,f(a,f(b,x))))))) ; } { Marked_f(a,f(a,f(b,f(a,f(a,f(b,f(a,x))))))) > Marked_f(a,f(a,f(b,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 === 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 : 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 === 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 74.881921 seconds (real time) Cime Exit Status: 0