- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(x,f(y,a)) -> f(f(f(f(a,x),y),a),h(a)) 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: { f(x,f(y,a)) >= f(f(f(f(a,x),y),a),h(a)) ; Marked_f(x,f(y,a)) >= Marked_f(f(a,x),y) ; Marked_f(x,f(y,a)) >= Marked_f(a,x) ; } + Disjunctions:{ { Marked_f(x,f(y,a)) > Marked_f(f(a,x),y) ; } { Marked_f(x,f(y,a)) > Marked_f(a,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 === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: f(x,f(y,a)) >= f(f(f(f(a,x),y),a),h(a)) constraint: Marked_f(x,f(y,a)) >= Marked_f(f(a,x),y) constraint: Marked_f(x,f(y,a)) >= Marked_f(a,x) APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Subterm criterion) ST: Marked_f -> 2 APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] f(x,f(y,a)) -> f(f(f(f(a,x),y),a),h(a)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ f ] (X0,X1) = 2*X1*X0 + 2; [ h ] (X0) = 0; [ a ] () = 1; [ Marked_f ] (X0,X1) = 1*X1*X0 + 2*X1 + 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} ]} ]} Cime worked for 0.473683 seconds (real time) Cime Exit Status: 0