- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] minus(0,y) -> 0 [2] minus(x,0) -> x [3] minus(s(x),s(y)) -> minus(x,y) [4] plus(0,y) -> y [5] plus(s(x),y) -> plus(x,s(y)) [6] zero(s(x)) -> false [7] zero(0) -> true [8] p(s(x)) -> x [9] div(x,y) -> quot(x,y,0) [10] quot(x,y,z) -> if(zero(x),x,y,plus(z,s(0))) [11] if(true,x,y,z) -> p(z) [12] if(false,x,s(y),z) -> quot(minus(x,s(y)),s(y),z) 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: { minus(0,y) >= 0 ; minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; plus(0,y) >= y ; plus(s(x),y) >= plus(x,s(y)) ; zero(0) >= true ; zero(s(x)) >= false ; p(s(x)) >= x ; quot(x,y,z) >= if(zero(x),x,y,plus(z,s(0))) ; div(x,y) >= quot(x,y,0) ; if(false,x,s(y),z) >= quot(minus(x,s(y)),s(y),z) ; if(true,x,y,z) >= p(z) ; Marked_if(false,x,s(y),z) >= Marked_quot(minus(x,s(y)),s(y),z) ; Marked_quot(x,y,z) >= Marked_if(zero(x),x,y,plus(z,s(0))) ; } + Disjunctions:{ { Marked_if(false,x,s(y),z) > Marked_quot(minus(x,s(y)),s(y),z) ; } { Marked_quot(x,y,z) > Marked_if(zero(x),x,y,plus(z,s(0))) ; } } === 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 4.365027 seconds (real time) Cime Exit Status: 0