- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] +(x,0) -> x [2] +(x,s(y)) -> s(+(x,y)) [3] *(x,0) -> 0 [4] *(x,s(y)) -> +( *(x,y),x) [5] ge(x,0) -> true [6] ge(0,s(y)) -> false [7] ge(s(x),s(y)) -> ge(x,y) [8] -(x,0) -> x [9] -(s(x),s(y)) -> -(x,y) [10] fact(x) -> iffact(x,ge(x,s(s(0)))) [11] iffact(x,true) -> *(x,fact(-(x,s(0)))) [12] iffact(x,false) -> s(0) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 5 components: { --> --> } { --> } { --> } { --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { +(x,0) >= x ; +(x,s(y)) >= s(+(x,y)) ; *(x,0) >= 0 ; *(x,s(y)) >= +( *(x,y),x) ; ge(0,s(y)) >= false ; ge(s(x),s(y)) >= ge(x,y) ; ge(x,0) >= true ; -(s(x),s(y)) >= -(x,y) ; -(x,0) >= x ; iffact(x,true) >= *(x,fact(-(x,s(0)))) ; iffact(x,false) >= s(0) ; fact(x) >= iffact(x,ge(x,s(s(0)))) ; Marked_iffact(x,true) >= Marked_fact(-(x,s(0))) ; Marked_fact(x) >= Marked_iffact(x,ge(x,s(s(0)))) ; } + Disjunctions:{ { Marked_iffact(x,true) > Marked_fact(-(x,s(0))) ; } { Marked_fact(x) > Marked_iffact(x,ge(x,s(s(0)))) ; } } === 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,0) >= x ; +(x,s(y)) >= s(+(x,y)) ; *(x,0) >= 0 ; *(x,s(y)) >= +( *(x,y),x) ; ge(0,s(y)) >= false ; ge(s(x),s(y)) >= ge(x,y) ; ge(x,0) >= true ; -(s(x),s(y)) >= -(x,y) ; -(x,0) >= x ; iffact(x,true) >= *(x,fact(-(x,s(0)))) ; iffact(x,false) >= s(0) ; fact(x) >= iffact(x,ge(x,s(s(0)))) ; Marked_iffact(x,true) >= Marked_fact(-(x,s(0))) ; Marked_fact(x) > Marked_iffact(x,ge(x,s(s(0)))) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { +(x,0) >= x ; +(x,s(y)) >= s(+(x,y)) ; *(x,0) >= 0 ; *(x,s(y)) >= +( *(x,y),x) ; ge(0,s(y)) >= false ; ge(s(x),s(y)) >= ge(x,y) ; ge(x,0) >= true ; -(s(x),s(y)) >= -(x,y) ; -(x,0) >= x ; iffact(x,true) >= *(x,fact(-(x,s(0)))) ; iffact(x,false) >= s(0) ; fact(x) >= iffact(x,ge(x,s(s(0)))) ; Marked_iffact(x,true) >= Marked_fact(-(x,s(0))) ; Marked_fact(x) > Marked_iffact(x,ge(x,s(s(0)))) ; } + 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.(8677 bt (8008) [132]) === 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 17.454994 seconds (real time) Cime Exit Status: 0