- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] w(r(x)) -> r(w(x)) [2] b(r(x)) -> r(b(x)) [3] b(w(x)) -> w(b(x)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> --> --> --> } { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { w(r(x)) >= r(w(x)) ; b(r(x)) >= r(b(x)) ; b(w(x)) >= w(b(x)) ; Marked_b(r(x)) >= Marked_b(x) ; Marked_b(w(x)) >= Marked_b(x) ; } + Disjunctions:{ { Marked_b(r(x)) > Marked_b(x) ; } { Marked_b(w(x)) > Marked_b(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: w(r(x)) >= r(w(x)) constraint: b(r(x)) >= r(b(x)) constraint: b(w(x)) >= w(b(x)) constraint: Marked_b(r(x)) >= Marked_b(x) constraint: Marked_b(w(x)) >= Marked_b(x) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { w(r(x)) >= r(w(x)) ; b(r(x)) >= r(b(x)) ; b(w(x)) >= w(b(x)) ; Marked_w(r(x)) >= Marked_w(x) ; } + Disjunctions:{ { Marked_w(r(x)) > Marked_w(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: w(r(x)) >= r(w(x)) constraint: b(r(x)) >= r(b(x)) constraint: b(w(x)) >= w(b(x)) constraint: Marked_w(r(x)) >= Marked_w(x) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] w(r(x)) -> r(w(x)) [2] b(r(x)) -> r(b(x)) [3] b(w(x)) -> w(b(x)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ r ] (X0) = 2 + 1*X0 + 0; [ b ] (X0) = 2*X0 + 0; [ w ] (X0) = 2 + 2*X0 + 0; [ Marked_b ] (X0) = 3*X0 + 0; ]} { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ r ] (X0) = 2 + 1*X0 + 0; [ Marked_w ] (X0) = 3*X0 + 0; [ b ] (X0) = 2*X0 + 0; [ w ] (X0) = 2*X0 + 0; ]} ]} ]} Cime worked for 0.026281 seconds (real time) Cime Exit Status: 0