- : 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] fibo(0) -> fib(0) [5] fibo(s(0)) -> fib(s(0)) [6] fibo(s(s(x))) -> sum(fibo(s(x)),fibo(x)) [7] fib(0) -> s(0) [8] fib(s(0)) -> s(0) [9] fib(s(s(x))) -> if(true,0,s(s(x)),0,0) [10] if(true,c,s(s(x)),a,b) -> if(lt(s(c),s(s(x))),s(c),s(s(x)),b,c) [11] if(false,c,s(s(x)),a,b) -> sum(fibo(a),fibo(b)) [12] sum(x,0) -> x [13] sum(x,s(y)) -> s(sum(x,y)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 4 components: { --> } { --> } { --> --> --> --> } { --> } 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 ; fib(0) >= s(0) ; fib(s(0)) >= s(0) ; fib(s(s(x))) >= if(true,0,s(s(x)),0,0) ; fibo(0) >= fib(0) ; fibo(s(0)) >= fib(s(0)) ; fibo(s(s(x))) >= sum(fibo(s(x)),fibo(x)) ; sum(x,0) >= x ; sum(x,s(y)) >= s(sum(x,y)) ; if(true,c,s(s(x)),a,b) >= if(lt(s(c),s(s(x))),s(c),s(s(x)),b,c) ; if(false,c,s(s(x)),a,b) >= sum(fibo(a),fibo(b)) ; Marked_if(true,c,s(s(x)),a,b) >= Marked_if(lt(s(c),s(s(x))),s(c),s(s(x)),b,c) ; } + Disjunctions:{ { Marked_if(true,c,s(s(x)),a,b) > Marked_if(lt(s(c),s(s(x))),s(c),s(s(x)),b,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 : 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 9.528181 seconds (real time) Cime Exit Status: 0