- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] nonZero(0) -> false [2] nonZero(s(x)) -> true [3] p(s(0)) -> 0 [4] p(s(s(x))) -> s(p(s(x))) [5] id_inc(x) -> x [6] id_inc(x) -> s(x) [7] random(x) -> rand(x,0) [8] rand(x,y) -> if(nonZero(x),x,y) [9] if(false,x,y) -> y [10] if(true,x,y) -> rand(p(x),id_inc(y)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { nonZero(0) >= false ; nonZero(s(x)) >= true ; p(s(0)) >= 0 ; p(s(s(x))) >= s(p(s(x))) ; id_inc(x) >= s(x) ; id_inc(x) >= x ; rand(x,y) >= if(nonZero(x),x,y) ; random(x) >= rand(x,0) ; if(false,x,y) >= y ; if(true,x,y) >= rand(p(x),id_inc(y)) ; Marked_if(true,x,y) >= Marked_rand(p(x),id_inc(y)) ; Marked_rand(x,y) >= Marked_if(nonZero(x),x,y) ; } + Disjunctions:{ { Marked_if(true,x,y) > Marked_rand(p(x),id_inc(y)) ; } { Marked_rand(x,y) > Marked_if(nonZero(x),x,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 : 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: { nonZero(0) >= false ; nonZero(s(x)) >= true ; p(s(0)) >= 0 ; p(s(s(x))) >= s(p(s(x))) ; id_inc(x) >= s(x) ; id_inc(x) >= x ; rand(x,y) >= if(nonZero(x),x,y) ; random(x) >= rand(x,0) ; if(false,x,y) >= y ; if(true,x,y) >= rand(p(x),id_inc(y)) ; Marked_if(true,x,y) >= Marked_rand(p(x),id_inc(y)) ; Marked_rand(x,y) > Marked_if(nonZero(x),x,y) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { nonZero(0) >= false ; nonZero(s(x)) >= true ; p(s(0)) >= 0 ; p(s(s(x))) >= s(p(s(x))) ; id_inc(x) >= s(x) ; id_inc(x) >= x ; rand(x,y) >= if(nonZero(x),x,y) ; random(x) >= rand(x,0) ; if(false,x,y) >= y ; if(true,x,y) >= rand(p(x),id_inc(y)) ; Marked_if(true,x,y) >= Marked_rand(p(x),id_inc(y)) ; Marked_rand(x,y) > Marked_if(nonZero(x),x,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.(10291 bt (11030) [770]) === 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 1.470902 seconds (real time) Cime Exit Status: 0