- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] app(app(app(uncurry,f),x),y) -> app(app(f,x),y) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { app(app(app(uncurry,f),x),y) >= app(app(f,x),y) ; Marked_app(app(app(uncurry,f),x),y) >= Marked_app(app(f,x),y) ; Marked_app(app(app(uncurry,f),x),y) >= Marked_app(f,x) ; } + Disjunctions:{ { Marked_app(app(app(uncurry,f),x),y) > Marked_app(app(f,x),y) ; } { Marked_app(app(app(uncurry,f),x),y) > Marked_app(f,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: app(app(app(uncurry,f),x),y) >= app(app(f,x),y) constraint: Marked_app(app(app(uncurry,f),x),y) >= Marked_app(app(f,x),y) constraint: Marked_app(app(app(uncurry,f),x),y) >= Marked_app(f,x) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] app(app(app(uncurry,f),x),y) -> app(app(f,x),y) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ app ] (X0,X1) = 1 + 2*X0 + 2*X1 + 0; [ Marked_app ] (X0,X1) = 1*X0 + 2*X1 + 0; [ uncurry ] () = 0; ]} ]} ]} Cime worked for 0.026241 seconds (real time) Cime Exit Status: 0