- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] implies(not(x),y) -> or(x,y) [2] implies(not(x),or(y,z)) -> implies(y,or(x,z)) [3] implies(x,or(y,z)) -> or(y,implies(x,z)) 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: { implies(not(x),or(y,z)) >= implies(y,or(x,z)) ; implies(not(x),y) >= or(x,y) ; implies(x,or(y,z)) >= or(y,implies(x,z)) ; Marked_implies(not(x),or(y,z)) >= Marked_implies(y,or(x,z)) ; Marked_implies(x,or(y,z)) >= Marked_implies(x,z) ; } + Disjunctions:{ { Marked_implies(not(x),or(y,z)) > Marked_implies(y,or(x,z)) ; } { Marked_implies(x,or(y,z)) > Marked_implies(x,z) ; } } === 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: implies(not(x),or(y,z)) >= implies(y,or(x,z)) constraint: implies(not(x),y) >= or(x,y) constraint: implies(x,or(y,z)) >= or(y,implies(x,z)) constraint: Marked_implies(not(x),or(y,z)) >= Marked_implies(y,or(x,z)) constraint: Marked_implies(x,or(y,z)) >= Marked_implies(x,z) APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { implies(not(x),or(y,z)) >= implies(y,or(x,z)) ; implies(not(x),y) >= or(x,y) ; implies(x,or(y,z)) >= or(y,implies(x,z)) ; Marked_implies(not(x),or(y,z)) >= Marked_implies(y,or(x,z)) ; } + Disjunctions:{ { Marked_implies(not(x),or(y,z)) > Marked_implies(y,or(x,z)) ; } } === 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: implies(not(x),or(y,z)) >= implies(y,or(x,z)) constraint: implies(not(x),y) >= or(x,y) constraint: implies(x,or(y,z)) >= or(y,implies(x,z)) constraint: Marked_implies(not(x),or(y,z)) >= Marked_implies(y,or(x,z)) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] implies(not(x),y) -> or(x,y) [2] implies(not(x),or(y,z)) -> implies(y,or(x,z)) [3] implies(x,or(y,z)) -> or(y,implies(x,z)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ or ] (X0,X1) = 2*X1 + 2; [ not ] (X0) = 0; [ implies ] (X0,X1) = 3*X1 + 2; [ Marked_implies ] (X0,X1) = 1*X1; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ or ] (X0,X1) = 2 + 1*X0 + 0; [ not ] (X0) = 1 + 2*X0 + 0; [ implies ] (X0,X1) = 2 + 1*X0 + 2*X1 + 0; [ Marked_implies ] (X0,X1) = 2*X0 + 2*X1 + 0; ]} ]} ]} ]} ]} Cime worked for 0.029963 seconds (real time) Cime Exit Status: 0