- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] and(x,false) -> false [2] and(x,not(false)) -> x [3] not(not(x)) -> x [4] implies(false,y) -> not(false) [5] implies(x,false) -> not(x) [6] implies(not(x),not(y)) -> implies(y,and(x,y)) 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: { and(x,false) >= false ; and(x,not(false)) >= x ; not(not(x)) >= x ; implies(false,y) >= not(false) ; implies(not(x),not(y)) >= implies(y,and(x,y)) ; implies(x,false) >= not(x) ; Marked_implies(not(x),not(y)) >= Marked_implies(y,and(x,y)) ; } + Disjunctions:{ { Marked_implies(not(x),not(y)) > Marked_implies(y,and(x,y)) ; } } === 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: and(x,false) >= false constraint: and(x,not(false)) >= x constraint: not(not(x)) >= x constraint: implies(false,y) >= not(false) constraint: implies(not(x),not(y)) >= implies(y,and(x,y)) constraint: implies(x,false) >= not(x) constraint: Marked_implies(not(x),not(y)) >= Marked_implies(y,and(x,y)) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] and(x,false) -> false [2] and(x,not(false)) -> x [3] not(not(x)) -> x [4] implies(false,y) -> not(false) [5] implies(x,false) -> not(x) [6] implies(not(x),not(y)) -> implies(y,and(x,y)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ false ] () = 2 + 0; [ Marked_implies ] (X0,X1) = 2*X0 + 3*X1 + 0; [ not ] (X0) = 3 + 2*X0 + 0; [ and ] (X0,X1) = 2 + 1*X0 + 0; [ implies ] (X0,X1) = 2 + 3*X0 + 2*X1 + 0; ]} ]} ]} Cime worked for 0.022319 seconds (real time) Cime Exit Status: 0