- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] -(-(neg(x),neg(x)),-(neg(y),neg(y))) -> -(-(x,y),-(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: { -(-(neg(x),neg(x)),-(neg(y),neg(y))) >= -(-(x,y),-(x,y)) ; Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) >= Marked_-(-(x,y),-(x,y)) ; Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) >= Marked_-(x,y) ; } + Disjunctions:{ { Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) > Marked_-(-(x,y),-(x,y)) ; } { Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) > Marked_-(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: -(-(neg(x),neg(x)),-(neg(y),neg(y))) >= -(-(x,y),-(x,y)) constraint: Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) >= Marked_-(-(x,y), -(x,y)) constraint: Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) >= Marked_-(x,y) APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { -(-(neg(x),neg(x)),-(neg(y),neg(y))) >= -(-(x,y),-(x,y)) ; Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) >= Marked_-(-(x,y),-(x,y)) ; } + Disjunctions:{ { Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) > Marked_-(-(x,y),-(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: -(-(neg(x),neg(x)),-(neg(y),neg(y))) >= -(-(x,y),-(x,y)) constraint: Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) >= Marked_-(-(x,y), -(x,y)) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] -(-(neg(x),neg(x)),-(neg(y),neg(y))) -> -(-(x,y),-(x,y)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ - ] (X0,X1) = 2*X1 + 1*X0 + 1; [ Marked_- ] (X0,X1) = 1*X1 + 1*X0; [ neg ] (X0) = 2*X0; removing < Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))),Marked_-(x,y)> [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ - ] (X0,X1) = 1*X0 + 0; [ Marked_- ] (X0,X1) = 1*X0 + 0; [ neg ] (X0) = 2 + 1*X0 + 0; ]} ]} ]} ]} ]} Cime worked for 0.077771 seconds (real time) Cime Exit Status: 0