- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] cond(true,x) -> cond(and(even(x),gr(x,0)),p(x)) [2] and(x,false) -> false [3] and(false,x) -> false [4] and(true,true) -> true [5] even(0) -> true [6] even(s(0)) -> false [7] even(s(s(x))) -> even(x) [8] gr(0,x) -> false [9] gr(s(x),0) -> true [10] gr(s(x),s(y)) -> gr(x,y) [11] p(0) -> 0 [12] p(s(x)) -> x 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: { cond(true,x) >= cond(and(even(x),gr(x,0)),p(x)) ; and(true,true) >= true ; and(false,x) >= false ; and(x,false) >= false ; even(0) >= true ; even(s(0)) >= false ; even(s(s(x))) >= even(x) ; gr(0,x) >= false ; gr(s(x),0) >= true ; gr(s(x),s(y)) >= gr(x,y) ; p(0) >= 0 ; p(s(x)) >= x ; Marked_cond(true,x) >= Marked_cond(and(even(x),gr(x,0)),p(x)) ; } + Disjunctions:{ { Marked_cond(true,x) > Marked_cond(and(even(x),gr(x,0)),p(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 : 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 8.304275 seconds (real time) Cime Exit Status: 0