- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] le(0,y) -> true [2] le(s(x),0) -> false [3] le(s(x),s(y)) -> le(x,y) [4] minus(x,0) -> x [5] minus(0,s(y)) -> 0 [6] minus(s(x),s(y)) -> minus(x,y) [7] plus(x,0) -> x [8] plus(x,s(y)) -> s(plus(x,y)) [9] mod(s(x),0) -> 0 [10] mod(x,s(y)) -> help(x,s(y),0) [11] help(x,s(y),c) -> if(le(c,x),x,s(y),c) [12] if(true,x,s(y),c) -> help(x,s(y),plus(c,s(y))) [13] if(false,x,s(y),c) -> minus(x,minus(c,s(y))) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 4 components: { --> --> } { --> } { --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { le(0,y) >= true ; le(s(x),0) >= false ; le(s(x),s(y)) >= le(x,y) ; minus(0,s(y)) >= 0 ; minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; plus(x,0) >= x ; plus(x,s(y)) >= s(plus(x,y)) ; mod(s(x),0) >= 0 ; mod(x,s(y)) >= help(x,s(y),0) ; help(x,s(y),c) >= if(le(c,x),x,s(y),c) ; if(true,x,s(y),c) >= help(x,s(y),plus(c,s(y))) ; if(false,x,s(y),c) >= minus(x,minus(c,s(y))) ; Marked_if(true,x,s(y),c) >= Marked_help(x,s(y),plus(c,s(y))) ; Marked_help(x,s(y),c) >= Marked_if(le(c,x),x,s(y),c) ; } + Disjunctions:{ { Marked_if(true,x,s(y),c) > Marked_help(x,s(y),plus(c,s(y))) ; } { Marked_help(x,s(y),c) > Marked_if(le(c,x),x,s(y),c) ; } } === 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: { le(0,y) >= true ; le(s(x),0) >= false ; le(s(x),s(y)) >= le(x,y) ; minus(0,s(y)) >= 0 ; minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; plus(x,0) >= x ; plus(x,s(y)) >= s(plus(x,y)) ; mod(s(x),0) >= 0 ; mod(x,s(y)) >= help(x,s(y),0) ; help(x,s(y),c) >= if(le(c,x),x,s(y),c) ; if(true,x,s(y),c) >= help(x,s(y),plus(c,s(y))) ; if(false,x,s(y),c) >= minus(x,minus(c,s(y))) ; Marked_if(true,x,s(y),c) >= Marked_help(x,s(y),plus(c,s(y))) ; Marked_help(x,s(y),c) > Marked_if(le(c,x),x,s(y),c) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { le(0,y) >= true ; le(s(x),0) >= false ; le(s(x),s(y)) >= le(x,y) ; minus(0,s(y)) >= 0 ; minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; plus(x,0) >= x ; plus(x,s(y)) >= s(plus(x,y)) ; mod(s(x),0) >= 0 ; mod(x,s(y)) >= help(x,s(y),0) ; help(x,s(y),c) >= if(le(c,x),x,s(y),c) ; if(true,x,s(y),c) >= help(x,s(y),plus(c,s(y))) ; if(false,x,s(y),c) >= minus(x,minus(c,s(y))) ; Marked_if(true,x,s(y),c) >= Marked_help(x,s(y),plus(c,s(y))) ; Marked_help(x,s(y),c) > Marked_if(le(c,x),x,s(y),c) ; } + 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.(42805 bt (44288) [3024]) === 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 5.513457 seconds (real time) Cime Exit Status: 0