- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] not(true) -> false [2] not(false) -> true [3] evenodd(x,0) -> not(evenodd(x,s(0))) [4] evenodd(0,s(0)) -> false [5] evenodd(s(x),s(0)) -> evenodd(x,0) 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: { not(false) >= true ; not(true) >= false ; evenodd(s(x),s(0)) >= evenodd(x,0) ; evenodd(0,s(0)) >= false ; evenodd(x,0) >= not(evenodd(x,s(0))) ; Marked_evenodd(s(x),s(0)) >= Marked_evenodd(x,0) ; Marked_evenodd(x,0) >= Marked_evenodd(x,s(0)) ; } + Disjunctions:{ { Marked_evenodd(s(x),s(0)) > Marked_evenodd(x,0) ; } { Marked_evenodd(x,0) > Marked_evenodd(x,s(0)) ; } } === 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: not(false) >= true constraint: not(true) >= false constraint: evenodd(s(x),s(0)) >= evenodd(x,0) constraint: evenodd(0,s(0)) >= false constraint: evenodd(x,0) >= not(evenodd(x,s(0))) constraint: Marked_evenodd(s(x),s(0)) >= Marked_evenodd(x,0) constraint: Marked_evenodd(x,0) >= Marked_evenodd(x,s(0)) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] not(true) -> false [2] not(false) -> true [3] evenodd(x,0) -> not(evenodd(x,s(0))) [4] evenodd(0,s(0)) -> false [5] evenodd(s(x),s(0)) -> evenodd(x,0) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ false ] () = 0; [ s ] (X0) = 2*X0 + 2; [ true ] () = 0; [ Marked_evenodd ] (X0,X1) = 1*X0; [ not ] (X0) = 0; [ 0 ] () = 0; [ evenodd ] (X0,X1) = 0; removing [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} Cime worked for 0.034268 seconds (real time) Cime Exit Status: 0