- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(y,f(x,f(a,x))) -> f(f(a,f(x,a)),f(a,y)) [2] f(x,f(x,y)) -> f(f(f(x,a),a),a) 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: { f(x,f(x,y)) >= f(f(f(x,a),a),a) ; f(y,f(x,f(a,x))) >= f(f(a,f(x,a)),f(a,y)) ; Marked_f(y,f(x,f(a,x))) >= Marked_f(f(a,f(x,a)),f(a,y)) ; Marked_f(y,f(x,f(a,x))) >= Marked_f(a,f(x,a)) ; Marked_f(y,f(x,f(a,x))) >= Marked_f(a,y) ; } + Disjunctions:{ { Marked_f(y,f(x,f(a,x))) > Marked_f(f(a,f(x,a)),f(a,y)) ; } { Marked_f(y,f(x,f(a,x))) > Marked_f(a,f(x,a)) ; } { Marked_f(y,f(x,f(a,x))) > Marked_f(a,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 === 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 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: { f(x,f(x,y)) >= f(f(f(x,a),a),a) ; f(y,f(x,f(a,x))) >= f(f(a,f(x,a)),f(a,y)) ; Marked_f(y,f(x,f(a,x))) > Marked_f(f(a,f(x,a)),f(a,y)) ; Marked_f(y,f(x,f(a,x))) > Marked_f(a,f(x,a)) ; Marked_f(y,f(x,f(a,x))) > Marked_f(a,y) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { f(x,f(x,y)) >= f(f(f(x,a),a),a) ; f(y,f(x,f(a,x))) >= f(f(a,f(x,a)),f(a,y)) ; Marked_f(y,f(x,f(a,x))) > Marked_f(f(a,f(x,a)),f(a,y)) ; Marked_f(y,f(x,f(a,x))) > Marked_f(a,f(x,a)) ; Marked_f(y,f(x,f(a,x))) > Marked_f(a,y) ; } + 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.(8 bt (2) [5]) === 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 12.876058 seconds (real time) Cime Exit Status: 0