- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] lt(0,s(x)) -> true [2] lt(x,0) -> false [3] lt(s(x),s(y)) -> lt(x,y) [4] fac(x) -> help(x,0) [5] help(x,c) -> if(lt(c,x),x,c) [6] if(true,x,c) -> times(s(c),help(x,s(c))) [7] if(false,x,c) -> s(0) 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: { lt(0,s(x)) >= true ; lt(s(x),s(y)) >= lt(x,y) ; lt(x,0) >= false ; help(x,c) >= if(lt(c,x),x,c) ; fac(x) >= help(x,0) ; if(true,x,c) >= times(s(c),help(x,s(c))) ; if(false,x,c) >= s(0) ; Marked_if(true,x,c) >= Marked_help(x,s(c)) ; Marked_help(x,c) >= Marked_if(lt(c,x),x,c) ; } + Disjunctions:{ { Marked_if(true,x,c) > Marked_help(x,s(c)) ; } { Marked_help(x,c) > Marked_if(lt(c,x),x,c) ; } } === 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: { lt(0,s(x)) >= true ; lt(s(x),s(y)) >= lt(x,y) ; lt(x,0) >= false ; help(x,c) >= if(lt(c,x),x,c) ; fac(x) >= help(x,0) ; if(true,x,c) >= times(s(c),help(x,s(c))) ; if(false,x,c) >= s(0) ; Marked_if(true,x,c) >= Marked_help(x,s(c)) ; Marked_help(x,c) > Marked_if(lt(c,x),x,c) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { lt(0,s(x)) >= true ; lt(s(x),s(y)) >= lt(x,y) ; lt(x,0) >= false ; help(x,c) >= if(lt(c,x),x,c) ; fac(x) >= help(x,0) ; if(true,x,c) >= times(s(c),help(x,s(c))) ; if(false,x,c) >= s(0) ; Marked_if(true,x,c) >= Marked_help(x,s(c)) ; Marked_help(x,c) > Marked_if(lt(c,x),x,c) ; } + 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.(11710 bt (12342) [904]) === 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 1.466147 seconds (real time) Cime Exit Status: 0