- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] fact(X) -> if(zero(X),s(0),prod(X,fact(p(X)))) [2] add(0,X) -> X [3] add(s(X),Y) -> s(add(X,Y)) [4] prod(0,X) -> 0 [5] prod(s(X),Y) -> add(Y,prod(X,Y)) [6] if(true,X,Y) -> X [7] if(false,X,Y) -> Y [8] zero(0) -> true [9] zero(s(X)) -> false [10] p(s(X)) -> X Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> } { --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { if(true,X,Y) >= X ; if(false,X,Y) >= Y ; zero(s(X)) >= false ; zero(0) >= true ; prod(s(X),Y) >= add(Y,prod(X,Y)) ; prod(0,X) >= 0 ; fact(X) >= if(zero(X),s(0),prod(X,fact(p(X)))) ; p(s(X)) >= X ; add(s(X),Y) >= s(add(X,Y)) ; add(0,X) >= X ; Marked_fact(X) >= Marked_fact(p(X)) ; } + Disjunctions:{ { Marked_fact(X) > Marked_fact(p(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 (Simple graph) Found the following constraints: { if(true,X,Y) >= X ; if(false,X,Y) >= Y ; zero(s(X)) >= false ; zero(0) >= true ; prod(s(X),Y) >= add(Y,prod(X,Y)) ; prod(0,X) >= 0 ; fact(X) >= if(zero(X),s(0),prod(X,fact(p(X)))) ; p(s(X)) >= X ; add(s(X),Y) >= s(add(X,Y)) ; add(0,X) >= X ; Marked_fact(X) > Marked_fact(p(X)) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { if(true,X,Y) >= X ; if(false,X,Y) >= Y ; zero(s(X)) >= false ; zero(0) >= true ; prod(s(X),Y) >= add(Y,prod(X,Y)) ; prod(0,X) >= 0 ; fact(X) >= if(zero(X),s(0),prod(X,fact(p(X)))) ; p(s(X)) >= X ; add(s(X),Y) >= s(add(X,Y)) ; add(0,X) >= X ; Marked_fact(X) > Marked_fact(p(X)) ; } + Disjunctions:{ } === TIMER virtual : 10.000000 === Entering poly_solver === 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.(166 bt (216) [22]) === TIMER virtual : 15.000000 === Entering poly_solver === 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 0.896030 seconds (real time) Cime Exit Status: 0