- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] *(i(x),x) -> 1 [2] *(1,y) -> y [3] *(x,0) -> 0 [4] *( *(x,y),z) -> *(x, *(y,z)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { *(1,y) >= y ; *( *(x,y),z) >= *(x, *(y,z)) ; *(i(x),x) >= 1 ; *(x,0) >= 0 ; Marked_*( *(x,y),z) >= Marked_*(x, *(y,z)) ; Marked_*( *(x,y),z) >= Marked_*(y,z) ; } + Disjunctions:{ { Marked_*( *(x,y),z) > Marked_*(x, *(y,z)) ; } { Marked_*( *(x,y),z) > Marked_*(y,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: *(1,y) >= y constraint: *( *(x,y),z) >= *(x, *(y,z)) constraint: *(i(x),x) >= 1 constraint: *(x,0) >= 0 constraint: Marked_*( *(x,y),z) >= Marked_*(x, *(y,z)) constraint: Marked_*( *(x,y),z) >= Marked_*(y,z) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] *(i(x),x) -> 1 [2] *(1,y) -> y [3] *(x,0) -> 0 [4] *( *(x,y),z) -> *(x, *(y,z)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ 1 ] () = 2 + 0; [ Marked_* ] (X0,X1) = 3*X0 + 0; [ i ] (X0) = 3 + 2*X0 + 0; [ * ] (X0,X1) = 2 + 3*X0 + 1*X1 + 0; [ 0 ] () = 3 + 0; ]} ]} ]} Cime worked for 0.014922 seconds (real time) Cime Exit Status: 0