- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] -(x,0) -> x [2] -(s(x),s(y)) -> -(x,y) [3] min(x,0) -> 0 [4] min(0,y) -> 0 [5] min(s(x),s(y)) -> s(min(x,y)) [6] twice(0) -> 0 [7] twice(s(x)) -> s(s(twice(x))) [8] f(s(x),s(y)) -> f(-(y,min(x,y)),s(twice(min(x,y)))) [9] f(s(x),s(y)) -> f(-(x,min(x,y)),s(twice(min(x,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: { -(s(x),s(y)) >= -(x,y) ; -(x,0) >= x ; min(0,y) >= 0 ; min(s(x),s(y)) >= s(min(x,y)) ; min(x,0) >= 0 ; twice(0) >= 0 ; twice(s(x)) >= s(s(twice(x))) ; f(s(x),s(y)) >= f(-(x,min(x,y)),s(twice(min(x,y)))) ; f(s(x),s(y)) >= f(-(y,min(x,y)),s(twice(min(x,y)))) ; Marked_f(s(x),s(y)) >= Marked_f(-(x,min(x,y)),s(twice(min(x,y)))) ; Marked_f(s(x),s(y)) >= Marked_f(-(y,min(x,y)),s(twice(min(x,y)))) ; } + Disjunctions:{ { Marked_f(s(x),s(y)) > Marked_f(-(x,min(x,y)),s(twice(min(x,y)))) ; } { Marked_f(s(x),s(y)) > Marked_f(-(y,min(x,y)),s(twice(min(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: { -(s(x),s(y)) >= -(x,y) ; -(x,0) >= x ; min(0,y) >= 0 ; min(s(x),s(y)) >= s(min(x,y)) ; min(x,0) >= 0 ; twice(0) >= 0 ; twice(s(x)) >= s(s(twice(x))) ; f(s(x),s(y)) >= f(-(x,min(x,y)),s(twice(min(x,y)))) ; f(s(x),s(y)) >= f(-(y,min(x,y)),s(twice(min(x,y)))) ; Marked_f(s(x),s(y)) > Marked_f(-(x,min(x,y)),s(twice(min(x,y)))) ; Marked_f(s(x),s(y)) > Marked_f(-(y,min(x,y)),s(twice(min(x,y)))) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { -(s(x),s(y)) >= -(x,y) ; -(x,0) >= x ; min(0,y) >= 0 ; min(s(x),s(y)) >= s(min(x,y)) ; min(x,0) >= 0 ; twice(0) >= 0 ; twice(s(x)) >= s(s(twice(x))) ; f(s(x),s(y)) >= f(-(x,min(x,y)),s(twice(min(x,y)))) ; f(s(x),s(y)) >= f(-(y,min(x,y)),s(twice(min(x,y)))) ; Marked_f(s(x),s(y)) > Marked_f(-(x,min(x,y)),s(twice(min(x,y)))) ; Marked_f(s(x),s(y)) > Marked_f(-(y,min(x,y)),s(twice(min(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.(340 bt (351) [48]) === 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 20.124033 seconds (real time) Cime Exit Status: 0