- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] fib(0) -> 0 [2] fib(s(0)) -> s(0) [3] fib(s(s(0))) -> s(0) [4] fib(s(s(x))) -> sp(g(x)) [5] g(0) -> pair(s(0),0) [6] g(s(0)) -> pair(s(0),s(0)) [7] g(s(x)) -> np(g(x)) [8] sp(pair(x,y)) -> +(x,y) [9] np(pair(x,y)) -> pair(+(x,y),x) [10] +(x,0) -> x [11] +(x,s(y)) -> s(+(x,y)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> } { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { fib(0) >= 0 ; fib(s(0)) >= s(0) ; fib(s(s(0))) >= s(0) ; fib(s(s(x))) >= sp(g(x)) ; sp(pair(x,y)) >= +(x,y) ; g(0) >= pair(s(0),0) ; g(s(0)) >= pair(s(0),s(0)) ; g(s(x)) >= np(g(x)) ; np(pair(x,y)) >= pair(+(x,y),x) ; +(x,0) >= x ; +(x,s(y)) >= s(+(x,y)) ; Marked_g(s(x)) >= Marked_g(x) ; } + Disjunctions:{ { Marked_g(s(x)) > Marked_g(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 === === STOPING TIMER virtual === constraint: fib(0) >= 0 constraint: fib(s(0)) >= s(0) constraint: fib(s(s(0))) >= s(0) constraint: fib(s(s(x))) >= sp(g(x)) constraint: sp(pair(x,y)) >= +(x,y) constraint: g(0) >= pair(s(0),0) constraint: g(s(0)) >= pair(s(0),s(0)) constraint: g(s(x)) >= np(g(x)) constraint: np(pair(x,y)) >= pair(+(x,y),x) constraint: +(x,0) >= x constraint: +(x,s(y)) >= s(+(x,y)) constraint: Marked_g(s(x)) >= Marked_g(x) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { fib(0) >= 0 ; fib(s(0)) >= s(0) ; fib(s(s(0))) >= s(0) ; fib(s(s(x))) >= sp(g(x)) ; sp(pair(x,y)) >= +(x,y) ; g(0) >= pair(s(0),0) ; g(s(0)) >= pair(s(0),s(0)) ; g(s(x)) >= np(g(x)) ; np(pair(x,y)) >= pair(+(x,y),x) ; +(x,0) >= x ; +(x,s(y)) >= s(+(x,y)) ; Marked_+(x,s(y)) >= Marked_+(x,y) ; } + Disjunctions:{ { Marked_+(x,s(y)) > Marked_+(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 === === STOPING TIMER virtual === constraint: fib(0) >= 0 constraint: fib(s(0)) >= s(0) constraint: fib(s(s(0))) >= s(0) constraint: fib(s(s(x))) >= sp(g(x)) constraint: sp(pair(x,y)) >= +(x,y) constraint: g(0) >= pair(s(0),0) constraint: g(s(0)) >= pair(s(0),s(0)) constraint: g(s(x)) >= np(g(x)) constraint: np(pair(x,y)) >= pair(+(x,y),x) constraint: +(x,0) >= x constraint: +(x,s(y)) >= s(+(x,y)) constraint: Marked_+(x,s(y)) >= Marked_+(x,y) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] fib(0) -> 0 [2] fib(s(0)) -> s(0) [3] fib(s(s(0))) -> s(0) [4] fib(s(s(x))) -> sp(g(x)) [5] g(0) -> pair(s(0),0) [6] g(s(0)) -> pair(s(0),s(0)) [7] g(s(x)) -> np(g(x)) [8] sp(pair(x,y)) -> +(x,y) [9] np(pair(x,y)) -> pair(+(x,y),x) [10] +(x,0) -> x [11] +(x,s(y)) -> s(+(x,y)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: RPO with AFS = AFS: and precedence: prec (All symbols are Lex.): { fib > s ; fib > sp ; fib > g ; fib > pair ; fib > np ; fib > + ; s < fib ; s < sp ; s < g ; s < np ; s < + ; sp < fib ; sp > s ; sp > + ; g < fib ; g > s ; g > pair ; g > np ; g > + ; pair < fib ; pair < g ; pair < np ; np < fib ; np > s ; np < g ; np > pair ; np > + ; + < fib ; + > s ; + < sp ; + < g ; + < np ; } ]} { DP termination of: , CRITERION: ORD [ Solution found: RPO with AFS = AFS: and precedence: prec (All symbols are Lex.): { fib > s ; fib > sp ; fib > g ; fib > pair ; fib > np ; fib > + ; s < fib ; s < sp ; s < g ; s < np ; s < + ; sp < fib ; sp > s ; sp > + ; g < fib ; g > s ; g > pair ; g > np ; g > + ; pair < fib ; pair < g ; pair < np ; np < fib ; np > s ; np < g ; np > pair ; np > + ; + < fib ; + > s ; + < sp ; + < g ; + < np ; } ]} ]} ]} Cime worked for 0.113965 seconds (real time) Cime Exit Status: 0