- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(n__f(n__a)) -> f(n__g(n__f(n__a))) [2] f(X) -> n__f(X) [3] a -> n__a [4] g(X) -> n__g(X) [5] activate(n__f(X)) -> f(X) [6] activate(n__a) -> a [7] activate(n__g(X)) -> g(activate(X)) [8] activate(X) -> X 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: { f(n__f(n__a)) >= f(n__g(n__f(n__a))) ; f(X) >= n__f(X) ; a >= n__a ; g(X) >= n__g(X) ; activate(n__g(X)) >= g(activate(X)) ; activate(n__f(X)) >= f(X) ; activate(n__a) >= a ; activate(X) >= X ; Marked_activate(n__g(X)) >= Marked_activate(X) ; } + Disjunctions:{ { Marked_activate(n__g(X)) > Marked_activate(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: f(n__f(n__a)) >= f(n__g(n__f(n__a))) constraint: f(X) >= n__f(X) constraint: a >= n__a constraint: g(X) >= n__g(X) constraint: activate(n__g(X)) >= g(activate(X)) constraint: activate(n__f(X)) >= f(X) constraint: activate(n__a) >= a constraint: activate(X) >= X constraint: Marked_activate(n__g(X)) >= Marked_activate(X) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] f(n__f(n__a)) -> f(n__g(n__f(n__a))) [2] f(X) -> n__f(X) [3] a -> n__a [4] g(X) -> n__g(X) [5] activate(n__f(X)) -> f(X) [6] activate(n__a) -> a [7] activate(n__g(X)) -> g(activate(X)) [8] activate(X) -> X , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ f ] (X0) = 2 + 0; [ a ] () = 2 + 0; [ n__f ] (X0) = 0; [ activate ] (X0) = 2 + 1*X0 + 0; [ n__g ] (X0) = 2 + 1*X0 + 0; [ g ] (X0) = 2 + 1*X0 + 0; [ n__a ] () = 0; [ Marked_activate ] (X0) = 3*X0 + 0; ]} ]} ]} Cime worked for 0.024670 seconds (real time) Cime Exit Status: 0