- : 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(s(x),s(y)) -> minus(x,y) [6] mod(0,y) -> 0 [7] mod(s(x),0) -> 0 [8] mod(s(x),s(y)) -> if_mod(le(y,x),s(x),s(y)) [9] if_mod(true,x,y) -> mod(minus(x,y),y) [10] if_mod(false,s(x),s(y)) -> s(x) 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: { le(0,y) >= true ; le(s(x),0) >= false ; le(s(x),s(y)) >= le(x,y) ; minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; mod(0,y) >= 0 ; mod(s(x),0) >= 0 ; mod(s(x),s(y)) >= if_mod(le(y,x),s(x),s(y)) ; if_mod(true,x,y) >= mod(minus(x,y),y) ; if_mod(false,s(x),s(y)) >= s(x) ; Marked_if_mod(true,x,y) >= Marked_mod(minus(x,y),y) ; Marked_mod(s(x),s(y)) >= Marked_if_mod(le(y,x),s(x),s(y)) ; } + Disjunctions:{ { Marked_if_mod(true,x,y) > Marked_mod(minus(x,y),y) ; } { Marked_mod(s(x),s(y)) > Marked_if_mod(le(y,x),s(x),s(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: { le(0,y) >= true ; le(s(x),0) >= false ; le(s(x),s(y)) >= le(x,y) ; minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; mod(0,y) >= 0 ; mod(s(x),0) >= 0 ; mod(s(x),s(y)) >= if_mod(le(y,x),s(x),s(y)) ; if_mod(true,x,y) >= mod(minus(x,y),y) ; if_mod(false,s(x),s(y)) >= s(x) ; Marked_if_mod(true,x,y) >= Marked_mod(minus(x,y),y) ; Marked_mod(s(x),s(y)) > Marked_if_mod(le(y,x),s(x),s(y)) ; } 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(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; mod(0,y) >= 0 ; mod(s(x),0) >= 0 ; mod(s(x),s(y)) >= if_mod(le(y,x),s(x),s(y)) ; if_mod(true,x,y) >= mod(minus(x,y),y) ; if_mod(false,s(x),s(y)) >= s(x) ; Marked_if_mod(true,x,y) >= Marked_mod(minus(x,y),y) ; Marked_mod(s(x),s(y)) > Marked_if_mod(le(y,x),s(x),s(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.(3335 bt (3547) [232]) === 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 2.298439 seconds (real time) Cime Exit Status: 0