- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(s(x)) -> f(id_inc(c(x,x))) [2] f(c(s(x),y)) -> g(c(x,y)) [3] g(c(s(x),y)) -> g(c(y,x)) [4] g(c(x,s(y))) -> g(c(y,x)) [5] g(c(x,x)) -> f(x) [6] id_inc(c(x,y)) -> c(id_inc(x),id_inc(y)) [7] id_inc(s(x)) -> s(id_inc(x)) [8] id_inc(0) -> 0 [9] id_inc(0) -> s(0) 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: { f(c(s(x),y)) >= g(c(x,y)) ; f(s(x)) >= f(id_inc(c(x,x))) ; id_inc(c(x,y)) >= c(id_inc(x),id_inc(y)) ; id_inc(s(x)) >= s(id_inc(x)) ; id_inc(0) >= s(0) ; id_inc(0) >= 0 ; g(c(s(x),y)) >= g(c(y,x)) ; g(c(x,s(y))) >= g(c(y,x)) ; g(c(x,x)) >= f(x) ; Marked_g(c(s(x),y)) >= Marked_g(c(y,x)) ; Marked_g(c(x,s(y))) >= Marked_g(c(y,x)) ; Marked_g(c(x,x)) >= Marked_f(x) ; Marked_f(c(s(x),y)) >= Marked_g(c(x,y)) ; Marked_f(s(x)) >= Marked_f(id_inc(c(x,x))) ; } + Disjunctions:{ { Marked_g(c(s(x),y)) > Marked_g(c(y,x)) ; } { Marked_g(c(x,s(y))) > Marked_g(c(y,x)) ; } { Marked_g(c(x,x)) > Marked_f(x) ; } { Marked_f(c(s(x),y)) > Marked_g(c(x,y)) ; } { Marked_f(s(x)) > Marked_f(id_inc(c(x,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 === === 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 : 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 2.639567 seconds (real time) Cime Exit Status: 0