- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] merge(x,nil) -> x [2] merge(nil,y) -> y [3] merge(++(x,y),++(u,v)) -> ++(x,merge(y,++(u,v))) [4] merge(++(x,y),++(u,v)) -> ++(u,merge(++(x,y),v)) 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: { merge(nil,y) >= y ; merge(++(x,y),++(u,v)) >= ++(u,merge(++(x,y),v)) ; merge(++(x,y),++(u,v)) >= ++(x,merge(y,++(u,v))) ; merge(x,nil) >= x ; Marked_merge(++(x,y),++(u,v)) >= Marked_merge(y,++(u,v)) ; } + Disjunctions:{ { Marked_merge(++(x,y),++(u,v)) > Marked_merge(y,++(u,v)) ; } } === 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: merge(nil,y) >= y constraint: merge(++(x,y),++(u,v)) >= ++(u,merge(++(x,y),v)) constraint: merge(++(x,y),++(u,v)) >= ++(x,merge(y,++(u,v))) constraint: merge(x,nil) >= x constraint: Marked_merge(++(x,y),++(u,v)) >= Marked_merge(y,++(u,v)) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] merge(x,nil) -> x [2] merge(nil,y) -> y [3] merge(++(x,y),++(u,v)) -> ++(x,merge(y,++(u,v))) [4] merge(++(x,y),++(u,v)) -> ++(u,merge(++(x,y),v)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ merge ] (X0,X1) = 3 + 2*X0 + 3*X1 + 0; [ v ] () = 0; [ ++ ] (X0,X1) = 1 + 1*X1 + 0; [ nil ] () = 3 + 0; [ Marked_merge ] (X0,X1) = 3*X0 + 0; [ u ] () = 0; ]} ]} ]} Cime worked for 0.038589 seconds (real time) Cime Exit Status: 0