- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] g(x,y) -> x [2] g(x,y) -> y [3] f(s(x),y,y) -> f(y,x,s(x)) 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: { g(x,y) >= x ; g(x,y) >= y ; f(s(x),y,y) >= f(y,x,s(x)) ; Marked_f(s(x),y,y) >= Marked_f(y,x,s(x)) ; } + Disjunctions:{ { Marked_f(s(x),y,y) > Marked_f(y,x,s(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: g(x,y) >= x constraint: g(x,y) >= y constraint: f(s(x),y,y) >= f(y,x,s(x)) constraint: Marked_f(s(x),y,y) >= Marked_f(y,x,s(x)) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] g(x,y) -> x [2] g(x,y) -> y [3] f(s(x),y,y) -> f(y,x,s(x)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ g ] (X0,X1) = 3 + 3*X0 + 3*X1 + 0; [ s ] (X0) = 3 + 2*X0 + 0; [ f ] (X0,X1,X2) = 2*X0 + 1*X1 + 1*X2 + 0; [ Marked_f ] (X0,X1,X2) = 2*X0 + 2*X1 + 0; ]} ]} ]} Cime worked for 0.014430 seconds (real time) Cime Exit Status: 0