- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] a__f(a,X,X) -> a__f(X,a__b,b) [2] a__b -> a [3] mark(f(X1,X2,X3)) -> a__f(X1,mark(X2),X3) [4] mark(b) -> a__b [5] mark(a) -> a [6] a__f(X1,X2,X3) -> f(X1,X2,X3) [7] a__b -> b Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> } { --> } APPLY CRITERIA (Subterm criterion) ST: Marked_mark -> 1 APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__f(a,X,X) >= a__f(X,a__b,b) ; a__f(X1,X2,X3) >= f(X1,X2,X3) ; a__b >= b ; a__b >= a ; mark(b) >= a__b ; mark(a) >= a ; mark(f(X1,X2,X3)) >= a__f(X1,mark(X2),X3) ; Marked_a__f(a,X,X) >= Marked_a__f(X,a__b,b) ; } + Disjunctions:{ { Marked_a__f(a,X,X) > Marked_a__f(X,a__b,b) ; } } === 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: a__f(a,X,X) >= a__f(X,a__b,b) constraint: a__f(X1,X2,X3) >= f(X1,X2,X3) constraint: a__b >= b constraint: a__b >= a constraint: mark(b) >= a__b constraint: mark(a) >= a constraint: mark(f(X1,X2,X3)) >= a__f(X1,mark(X2),X3) constraint: Marked_a__f(a,X,X) >= Marked_a__f(X,a__b,b) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] a__f(a,X,X) -> a__f(X,a__b,b) [2] a__b -> a [3] mark(f(X1,X2,X3)) -> a__f(X1,mark(X2),X3) [4] mark(b) -> a__b [5] mark(a) -> a [6] a__f(X1,X2,X3) -> f(X1,X2,X3) [7] a__b -> b , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ a__f ] (X0,X1,X2) = 0; [ mark ] (X0) = 3 + 0; [ b ] () = 0; [ a__b ] () = 3 + 0; [ f ] (X0,X1,X2) = 0; [ a ] () = 3 + 0; [ Marked_a__f ] (X0,X1,X2) = 2*X0 + 2*X2 + 0; ]} ]} ]} Cime worked for 0.026595 seconds (real time) Cime Exit Status: 0