- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] p(0) -> s(s(0)) [2] p(s(x)) -> x [3] p(p(s(x))) -> p(x) [4] le(p(s(x)),x) -> le(x,x) [5] le(0,y) -> true [6] le(s(x),0) -> false [7] le(s(x),s(y)) -> le(x,y) [8] minus(x,y) -> if(le(x,y),x,y) [9] if(true,x,y) -> 0 [10] if(false,x,y) -> s(minus(p(x),y)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> --> } { --> --> --> --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { p(s(x)) >= x ; p(0) >= s(s(0)) ; p(p(s(x))) >= p(x) ; le(s(x),s(y)) >= le(x,y) ; le(s(x),0) >= false ; le(0,y) >= true ; le(p(s(x)),x) >= le(x,x) ; if(true,x,y) >= 0 ; if(false,x,y) >= s(minus(p(x),y)) ; minus(x,y) >= if(le(x,y),x,y) ; Marked_if(false,x,y) >= Marked_minus(p(x),y) ; Marked_minus(x,y) >= Marked_if(le(x,y),x,y) ; } + Disjunctions:{ { Marked_if(false,x,y) > Marked_minus(p(x),y) ; } { Marked_minus(x,y) > Marked_if(le(x,y),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 : 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(s(x)) >= x ; p(0) >= s(s(0)) ; p(p(s(x))) >= p(x) ; le(s(x),s(y)) >= le(x,y) ; le(s(x),0) >= false ; le(0,y) >= true ; le(p(s(x)),x) >= le(x,x) ; if(true,x,y) >= 0 ; if(false,x,y) >= s(minus(p(x),y)) ; minus(x,y) >= if(le(x,y),x,y) ; Marked_if(false,x,y) >= Marked_minus(p(x),y) ; Marked_minus(x,y) > Marked_if(le(x,y),x,y) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { p(s(x)) >= x ; p(0) >= s(s(0)) ; p(p(s(x))) >= p(x) ; le(s(x),s(y)) >= le(x,y) ; le(s(x),0) >= false ; le(0,y) >= true ; le(p(s(x)),x) >= le(x,x) ; if(true,x,y) >= 0 ; if(false,x,y) >= s(minus(p(x),y)) ; minus(x,y) >= if(le(x,y),x,y) ; Marked_if(false,x,y) >= Marked_minus(p(x),y) ; Marked_minus(x,y) > Marked_if(le(x,y),x,y) ; } + Disjunctions:{ } === 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 === No solution found for these parameters.(1960 bt (2054) [160]) === 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 0.960239 seconds (real time) Cime Exit Status: 0