- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] p(s(x)) -> x [2] fact(0) -> s(0) [3] fact(s(x)) -> *(s(x),fact(p(s(x)))) [4] *(0,y) -> 0 [5] *(s(x),y) -> +( *(x,y),y) [6] +(x,0) -> x [7] +(x,s(y)) -> s(+(x,y)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> } { --> } { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { p(s(x)) >= x ; fact(s(x)) >= *(s(x),fact(p(s(x)))) ; fact(0) >= s(0) ; *(s(x),y) >= +( *(x,y),y) ; *(0,y) >= 0 ; +(x,s(y)) >= s(+(x,y)) ; +(x,0) >= x ; Marked_fact(s(x)) >= Marked_fact(p(s(x))) ; } + Disjunctions:{ { Marked_fact(s(x)) > Marked_fact(p(s(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 : 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 0.565552 seconds (real time) Cime Exit Status: 0