- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(true,x,y) -> f(and(gt(x,y),gt(y,s(s(0)))),plus(s(0),x),double(y)) [2] gt(0,v) -> false [3] gt(s(u),0) -> true [4] gt(s(u),s(v)) -> gt(u,v) [5] and(x,true) -> x [6] and(x,false) -> false [7] plus(n,0) -> n [8] plus(n,s(m)) -> s(plus(n,m)) [9] double(0) -> 0 [10] double(s(x)) -> s(s(double(x))) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 4 components: { --> } { --> } { --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { f(true,x,y) >= f(and(gt(x,y),gt(y,s(s(0)))),plus(s(0),x),double(y)) ; and(x,true) >= x ; and(x,false) >= false ; gt(s(u),s(v)) >= gt(u,v) ; gt(s(u),0) >= true ; gt(0,v) >= false ; plus(n,s(m)) >= s(plus(n,m)) ; plus(n,0) >= n ; double(s(x)) >= s(s(double(x))) ; double(0) >= 0 ; Marked_f(true,x,y) >= Marked_f(and(gt(x,y),gt(y,s(s(0)))),plus(s(0),x), double(y)) ; } + Disjunctions:{ { Marked_f(true,x,y) > Marked_f(and(gt(x,y),gt(y,s(s(0)))),plus(s(0),x), double(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 : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat timeout reached === STOPING TIMER virtual === Time out 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 (Simple graph) Found the following constraints: { f(true,x,y) >= f(and(gt(x,y),gt(y,s(s(0)))),plus(s(0),x),double(y)) ; and(x,true) >= x ; and(x,false) >= false ; gt(s(u),s(v)) >= gt(u,v) ; gt(s(u),0) >= true ; gt(0,v) >= false ; plus(n,s(m)) >= s(plus(n,m)) ; plus(n,0) >= n ; double(s(x)) >= s(s(double(x))) ; double(0) >= 0 ; Marked_f(true,x,y) > Marked_f(and(gt(x,y),gt(y,s(s(0)))),plus(s(0),x), double(y)) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { f(true,x,y) >= f(and(gt(x,y),gt(y,s(s(0)))),plus(s(0),x),double(y)) ; and(x,true) >= x ; and(x,false) >= false ; gt(s(u),s(v)) >= gt(u,v) ; gt(s(u),0) >= true ; gt(0,v) >= false ; plus(n,s(m)) >= s(plus(n,m)) ; plus(n,0) >= n ; double(s(x)) >= s(s(double(x))) ; double(0) >= 0 ; Marked_f(true,x,y) > Marked_f(and(gt(x,y),gt(y,s(s(0)))),plus(s(0),x), double(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.(2573 bt (745) [1090]) === 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 timeout reached === STOPING TIMER virtual === Time out 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 174.822095 seconds (real time) Cime Exit Status: 0