- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] minus(x,0) -> x [2] minus(s(x),s(y)) -> minus(x,y) [3] double(0) -> 0 [4] double(s(x)) -> s(s(double(x))) [5] plus(0,y) -> y [6] plus(s(x),y) -> s(plus(x,y)) [7] plus(s(x),y) -> plus(x,s(y)) [8] plus(s(x),y) -> s(plus(minus(x,y),double(y))) [9] plus(s(plus(x,y)),z) -> s(plus(plus(x,y),z)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> } { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; double(0) >= 0 ; double(s(x)) >= s(s(double(x))) ; plus(0,y) >= y ; plus(s(plus(x,y)),z) >= s(plus(plus(x,y),z)) ; plus(s(x),y) >= s(plus(minus(x,y),double(y))) ; plus(s(x),y) >= s(plus(x,y)) ; plus(s(x),y) >= plus(x,s(y)) ; Marked_plus(s(plus(x,y)),z) >= Marked_plus(plus(x,y),z) ; Marked_plus(s(x),y) >= Marked_plus(minus(x,y),double(y)) ; Marked_plus(s(x),y) >= Marked_plus(x,s(y)) ; Marked_plus(s(x),y) >= Marked_plus(x,y) ; } + Disjunctions:{ { Marked_plus(s(plus(x,y)),z) > Marked_plus(plus(x,y),z) ; } { Marked_plus(s(x),y) > Marked_plus(minus(x,y),double(y)) ; } { Marked_plus(s(x),y) > Marked_plus(x,s(y)) ; } { Marked_plus(s(x),y) > Marked_plus(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 === === STOPING TIMER virtual === constraint: minus(s(x),s(y)) >= minus(x,y) constraint: minus(x,0) >= x constraint: double(0) >= 0 constraint: double(s(x)) >= s(s(double(x))) constraint: plus(0,y) >= y constraint: plus(s(plus(x,y)),z) >= s(plus(plus(x,y),z)) constraint: plus(s(x),y) >= s(plus(minus(x,y),double(y))) constraint: plus(s(x),y) >= s(plus(x,y)) constraint: plus(s(x),y) >= plus(x,s(y)) constraint: Marked_plus(s(plus(x,y)),z) >= Marked_plus(plus(x,y),z) constraint: Marked_plus(s(x),y) >= Marked_plus(minus(x,y),double(y)) constraint: Marked_plus(s(x),y) >= Marked_plus(x,s(y)) constraint: Marked_plus(s(x),y) >= Marked_plus(x,y) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; double(0) >= 0 ; double(s(x)) >= s(s(double(x))) ; plus(0,y) >= y ; plus(s(plus(x,y)),z) >= s(plus(plus(x,y),z)) ; plus(s(x),y) >= s(plus(minus(x,y),double(y))) ; plus(s(x),y) >= s(plus(x,y)) ; plus(s(x),y) >= plus(x,s(y)) ; Marked_minus(s(x),s(y)) >= Marked_minus(x,y) ; } + Disjunctions:{ { Marked_minus(s(x),s(y)) > Marked_minus(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 === === STOPING TIMER virtual === constraint: minus(s(x),s(y)) >= minus(x,y) constraint: minus(x,0) >= x constraint: double(0) >= 0 constraint: double(s(x)) >= s(s(double(x))) constraint: plus(0,y) >= y constraint: plus(s(plus(x,y)),z) >= s(plus(plus(x,y),z)) constraint: plus(s(x),y) >= s(plus(minus(x,y),double(y))) constraint: plus(s(x),y) >= s(plus(x,y)) constraint: plus(s(x),y) >= plus(x,s(y)) constraint: Marked_minus(s(x),s(y)) >= Marked_minus(x,y) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; double(0) >= 0 ; double(s(x)) >= s(s(double(x))) ; plus(0,y) >= y ; plus(s(plus(x,y)),z) >= s(plus(plus(x,y),z)) ; plus(s(x),y) >= s(plus(minus(x,y),double(y))) ; plus(s(x),y) >= s(plus(x,y)) ; plus(s(x),y) >= plus(x,s(y)) ; Marked_double(s(x)) >= Marked_double(x) ; } + Disjunctions:{ { Marked_double(s(x)) > Marked_double(x) ; } } === 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 === === STOPING TIMER virtual === constraint: minus(s(x),s(y)) >= minus(x,y) constraint: minus(x,0) >= x constraint: double(0) >= 0 constraint: double(s(x)) >= s(s(double(x))) constraint: plus(0,y) >= y constraint: plus(s(plus(x,y)),z) >= s(plus(plus(x,y),z)) constraint: plus(s(x),y) >= s(plus(minus(x,y),double(y))) constraint: plus(s(x),y) >= s(plus(x,y)) constraint: plus(s(x),y) >= plus(x,s(y)) constraint: Marked_double(s(x)) >= Marked_double(x) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] minus(x,0) -> x [2] minus(s(x),s(y)) -> minus(x,y) [3] double(0) -> 0 [4] double(s(x)) -> s(s(double(x))) [5] plus(0,y) -> y [6] plus(s(x),y) -> s(plus(x,y)) [7] plus(s(x),y) -> plus(x,s(y)) [8] plus(s(x),y) -> s(plus(minus(x,y),double(y))) [9] plus(s(plus(x,y)),z) -> s(plus(plus(x,y),z)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: RPO with AFS = AFS: minus -> 0 and precedence: prec (All symbols are Lex.): { s < double ; s < plus ; s < Marked_plus ; double > s ; double < plus ; double < Marked_plus ; plus > s ; plus > double ; Marked_plus > s ; Marked_plus > double ; } ]} { DP termination of: , CRITERION: ORD [ Solution found: RPO with AFS = AFS: minus -> 0 and precedence: prec (All symbols are Lex.): { s < double ; s < plus ; double > s ; double < plus ; plus > s ; plus > double ; } ]} { DP termination of: , CRITERION: ORD [ Solution found: RPO with AFS = AFS: minus -> 0 and precedence: prec (All symbols are Lex.): { s < double ; s < plus ; double > s ; double < plus ; plus > s ; plus > double ; } ]} ]} ]} Cime worked for 0.139240 seconds (real time) Cime Exit Status: 0