- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] :(:(x,y),z) -> :(x,:(y,z)) [2] :(+(x,y),z) -> +(:(x,z),:(y,z)) [3] :(z,+(x,f(y))) -> :(g(z,y),+(x,a)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { :(:(x,y),z) >= :(x,:(y,z)) ; :(+(x,y),z) >= +(:(x,z),:(y,z)) ; :(z,+(x,f(y))) >= :(g(z,y),+(x,a)) ; Marked_:(:(x,y),z) >= Marked_:(x,:(y,z)) ; Marked_:(:(x,y),z) >= Marked_:(y,z) ; Marked_:(+(x,y),z) >= Marked_:(x,z) ; Marked_:(+(x,y),z) >= Marked_:(y,z) ; } + Disjunctions:{ { Marked_:(:(x,y),z) > Marked_:(x,:(y,z)) ; } { Marked_:(:(x,y),z) > Marked_:(y,z) ; } { Marked_:(+(x,y),z) > Marked_:(x,z) ; } { Marked_:(+(x,y),z) > Marked_:(y,z) ; } } === 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: :(:(x,y),z) >= :(x,:(y,z)) constraint: :(+(x,y),z) >= +(:(x,z),:(y,z)) constraint: :(z,+(x,f(y))) >= :(g(z,y),+(x,a)) constraint: Marked_:(:(x,y),z) >= Marked_:(x,:(y,z)) constraint: Marked_:(:(x,y),z) >= Marked_:(y,z) constraint: Marked_:(+(x,y),z) >= Marked_:(x,z) constraint: Marked_:(+(x,y),z) >= Marked_:(y,z) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] :(:(x,y),z) -> :(x,:(y,z)) [2] :(+(x,y),z) -> +(:(x,z),:(y,z)) [3] :(z,+(x,f(y))) -> :(g(z,y),+(x,a)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: RPO with AFS = AFS: g -> 0 and precedence: prec (All symbols are Lex.): { : > + ; : > a ; : < Marked_: ; + < : ; + > a ; + < Marked_: ; a < : ; a < + ; a < f ; a < Marked_: ; f > a ; Marked_: > : ; Marked_: > + ; Marked_: > a ; } ]} ]} ]} Cime worked for 0.034645 seconds (real time) Cime Exit Status: 0