- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] p(0) -> 0 [2] p(s(X)) -> X [3] leq(0,Y) -> true [4] leq(s(X),0) -> false [5] leq(s(X),s(Y)) -> leq(X,Y) [6] if(true,X,Y) -> X [7] if(false,X,Y) -> Y [8] diff(X,Y) -> if(leq(X,Y),0,s(diff(p(X),Y))) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { p(0) >= 0 ; p(s(X)) >= X ; 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 ; diff(X,Y) >= if(leq(X,Y),0,s(diff(p(X),Y))) ; Marked_diff(X,Y) >= Marked_diff(p(X),Y) ; } + Disjunctions:{ { Marked_diff(X,Y) > Marked_diff(p(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 (Simple graph) Found the following constraints: { p(0) >= 0 ; p(s(X)) >= X ; 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 ; diff(X,Y) >= if(leq(X,Y),0,s(diff(p(X),Y))) ; Marked_diff(X,Y) > Marked_diff(p(X),Y) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { p(0) >= 0 ; p(s(X)) >= X ; 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 ; diff(X,Y) >= if(leq(X,Y),0,s(diff(p(X),Y))) ; Marked_diff(X,Y) > Marked_diff(p(X),Y) ; } + Disjunctions:{ } === TIMER virtual : 10.000000 === Entering poly_solver === 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 === No solution found for these parameters.(31 bt (36) [9]) === TIMER virtual : 15.000000 === Entering poly_solver === 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 === 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 0.615214 seconds (real time) Cime Exit Status: 0