- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] min(x,0) -> 0 [2] min(0,y) -> 0 [3] min(s(x),s(y)) -> s(min(x,y)) [4] max(x,0) -> x [5] max(0,y) -> y [6] max(s(x),s(y)) -> s(max(x,y)) [7] -(x,0) -> x [8] -(s(x),s(y)) -> -(x,y) [9] gcd(s(x),s(y)) -> gcd(-(s(max(x,y)),s(min(x,y))),s(min(x,y))) [10] gcd(s(x),0) -> s(x) [11] gcd(0,s(y)) -> s(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: { min(0,y) >= 0 ; min(s(x),s(y)) >= s(min(x,y)) ; min(x,0) >= 0 ; max(0,y) >= y ; max(s(x),s(y)) >= s(max(x,y)) ; max(x,0) >= x ; -(s(x),s(y)) >= -(x,y) ; -(x,0) >= x ; gcd(0,s(y)) >= s(y) ; gcd(s(x),0) >= s(x) ; gcd(s(x),s(y)) >= gcd(-(s(max(x,y)),s(min(x,y))),s(min(x,y))) ; Marked_gcd(s(x),s(y)) >= Marked_gcd(-(s(max(x,y)),s(min(x,y))),s(min(x,y))) ; } + Disjunctions:{ { Marked_gcd(s(x),s(y)) > Marked_gcd(-(s(max(x,y)),s(min(x,y))),s(min(x,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 34.191736 seconds (real time) Cime Exit Status: 0