- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] if(true,x,y) -> x [2] if(false,x,y) -> y [3] if(x,y,y) -> y [4] if(if(x,y,z),u,v) -> if(x,if(y,u,v),if(z,u,v)) 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: { if(if(x,y,z),u,v) >= if(x,if(y,u,v),if(z,u,v)) ; if(true,x,y) >= x ; if(false,x,y) >= y ; if(x,y,y) >= y ; Marked_if(if(x,y,z),u,v) >= Marked_if(x,if(y,u,v),if(z,u,v)) ; Marked_if(if(x,y,z),u,v) >= Marked_if(y,u,v) ; Marked_if(if(x,y,z),u,v) >= Marked_if(z,u,v) ; } + Disjunctions:{ { Marked_if(if(x,y,z),u,v) > Marked_if(x,if(y,u,v),if(z,u,v)) ; } { Marked_if(if(x,y,z),u,v) > Marked_if(y,u,v) ; } { Marked_if(if(x,y,z),u,v) > Marked_if(z,u,v) ; } } === 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: if(if(x,y,z),u,v) >= if(x,if(y,u,v),if(z,u,v)) constraint: if(true,x,y) >= x constraint: if(false,x,y) >= y constraint: if(x,y,y) >= y constraint: Marked_if(if(x,y,z),u,v) >= Marked_if(x,if(y,u,v),if(z,u,v)) constraint: Marked_if(if(x,y,z),u,v) >= Marked_if(y,u,v) constraint: Marked_if(if(x,y,z),u,v) >= Marked_if(z,u,v) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] if(true,x,y) -> x [2] if(false,x,y) -> y [3] if(x,y,y) -> y [4] if(if(x,y,z),u,v) -> if(x,if(y,u,v),if(z,u,v)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ if ] (X0,X1,X2) = 3 + 2*X0 + 1*X1 + 1*X2 + 0; [ v ] () = 0; [ false ] () = 2 + 0; [ true ] () = 3 + 0; [ Marked_if ] (X0,X1,X2) = 3*X0 + 1*X1 + 1*X2 + 0; [ u ] () = 0; ]} ]} ]} Cime worked for 0.042254 seconds (real time) Cime Exit Status: 0