- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] leq(0,y) -> true [2] leq(s(x),0) -> false [3] leq(s(x),s(y)) -> leq(x,y) [4] if(true,x,y) -> x [5] if(false,x,y) -> y [6] -(x,0) -> x [7] -(s(x),s(y)) -> -(x,y) [8] mod(0,y) -> 0 [9] mod(s(x),0) -> 0 [10] mod(s(x),s(y)) -> if(leq(y,x),mod(-(s(x),s(y)),s(y)),s(x)) 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: { leq(0,y) >= true ; leq(s(x),0) >= false ; leq(s(x),s(y)) >= leq(x,y) ; if(true,x,y) >= x ; if(false,x,y) >= y ; -(s(x),s(y)) >= -(x,y) ; -(x,0) >= x ; mod(0,y) >= 0 ; mod(s(x),0) >= 0 ; mod(s(x),s(y)) >= if(leq(y,x),mod(-(s(x),s(y)),s(y)),s(x)) ; Marked_mod(s(x),s(y)) >= Marked_mod(-(s(x),s(y)),s(y)) ; } + Disjunctions:{ { Marked_mod(s(x),s(y)) > Marked_mod(-(s(x),s(y)),s(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 === === 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 4.000184 seconds (real time) Cime Exit Status: 0