- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(x,f(s(s(y)),f(z,w))) -> f(s(x),f(y,f(s(z),w))) [2] L(f(s(s(y)),f(z,w))) -> L(f(s(0),f(y,f(s(z),w)))) [3] f(x,f(s(s(y)),nil)) -> f(s(x),f(y,f(s(0),nil))) 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: { f(x,f(s(s(y)),f(z,w))) >= f(s(x),f(y,f(s(z),w))) ; f(x,f(s(s(y)),nil)) >= f(s(x),f(y,f(s(0),nil))) ; L(f(s(s(y)),f(z,w))) >= L(f(s(0),f(y,f(s(z),w)))) ; Marked_L(f(s(s(y)),f(z,w))) >= Marked_L(f(s(0),f(y,f(s(z),w)))) ; } + Disjunctions:{ { Marked_L(f(s(s(y)),f(z,w))) > Marked_L(f(s(0),f(y,f(s(z),w)))) ; } } === 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 : 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 timeout reached === 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 56.385839 seconds (real time) Cime Exit Status: 0