- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] half(0) -> 0 [2] half(s(0)) -> 0 [3] half(s(s(x))) -> s(half(x)) [4] lastbit(0) -> 0 [5] lastbit(s(0)) -> s(0) [6] lastbit(s(s(x))) -> lastbit(x) [7] zero(0) -> true [8] zero(s(x)) -> false [9] conv(x) -> conviter(x,cons(0,nil)) [10] conviter(x,l) -> if(zero(x),x,l) [11] if(true,x,l) -> l [12] if(false,x,l) -> conviter(half(x),cons(lastbit(x),l)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> --> } { --> } { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { half(0) >= 0 ; half(s(0)) >= 0 ; half(s(s(x))) >= s(half(x)) ; lastbit(0) >= 0 ; lastbit(s(0)) >= s(0) ; lastbit(s(s(x))) >= lastbit(x) ; zero(0) >= true ; zero(s(x)) >= false ; conviter(x,l) >= if(zero(x),x,l) ; conv(x) >= conviter(x,cons(0,nil)) ; if(true,x,l) >= l ; if(false,x,l) >= conviter(half(x),cons(lastbit(x),l)) ; Marked_if(false,x,l) >= Marked_conviter(half(x),cons(lastbit(x),l)) ; Marked_conviter(x,l) >= Marked_if(zero(x),x,l) ; } + Disjunctions:{ { Marked_if(false,x,l) > Marked_conviter(half(x),cons(lastbit(x),l)) ; } { Marked_conviter(x,l) > Marked_if(zero(x),x,l) ; } } === 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 (ID_CRIT) NOT SOLVED No proof found Cime worked for 4.823081 seconds (real time) Cime Exit Status: 0