- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(h(x)) -> f(i(x)) [2] g(i(x)) -> g(h(x)) [3] h(a) -> b [4] i(a) -> b Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { f(h(x)) >= f(i(x)) ; i(a) >= b ; h(a) >= b ; g(i(x)) >= g(h(x)) ; Marked_f(h(x)) >= Marked_f(i(x)) ; } + Disjunctions:{ { Marked_f(h(x)) > Marked_f(i(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(h(x)) >= f(i(x)) constraint: i(a) >= b constraint: h(a) >= b constraint: g(i(x)) >= g(h(x)) constraint: Marked_f(h(x)) >= Marked_f(i(x)) APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { f(h(x)) >= f(i(x)) ; i(a) >= b ; h(a) >= b ; g(i(x)) >= g(h(x)) ; Marked_g(i(x)) >= Marked_g(h(x)) ; } + Disjunctions:{ { Marked_g(i(x)) > Marked_g(h(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(h(x)) >= f(i(x)) constraint: i(a) >= b constraint: h(a) >= b constraint: g(i(x)) >= g(h(x)) constraint: Marked_g(i(x)) >= Marked_g(h(x)) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] f(h(x)) -> f(i(x)) [2] g(i(x)) -> g(h(x)) [3] h(a) -> b [4] i(a) -> b , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ f ] (X0) = 2*X0 + 0; [ b ] () = 0; [ h ] (X0) = 3 + 0; [ i ] (X0) = 0; [ Marked_f ] (X0) = 2*X0 + 0; [ a ] () = 3 + 0; [ g ] (X0) = 0; ]} { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ f ] (X0) = 0; [ Marked_g ] (X0) = 3*X0 + 0; [ b ] () = 0; [ h ] (X0) = 0; [ i ] (X0) = 2 + 0; [ a ] () = 3 + 0; [ g ] (X0) = 2*X0 + 0; ]} ]} ]} Cime worked for 0.033205 seconds (real time) Cime Exit Status: 0