- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(x,c(y)) -> f(x,s(f(y,y))) [2] f(s(x),s(y)) -> f(x,s(c(s(y)))) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> } { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { f(s(x),s(y)) >= f(x,s(c(s(y)))) ; f(x,c(y)) >= f(x,s(f(y,y))) ; Marked_f(x,c(y)) >= Marked_f(y,y) ; } + Disjunctions:{ { Marked_f(x,c(y)) > Marked_f(y,y) ; } } === 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: f(s(x),s(y)) >= f(x,s(c(s(y)))) constraint: f(x,c(y)) >= f(x,s(f(y,y))) constraint: Marked_f(x,c(y)) >= Marked_f(y,y) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { f(s(x),s(y)) >= f(x,s(c(s(y)))) ; f(x,c(y)) >= f(x,s(f(y,y))) ; Marked_f(s(x),s(y)) >= Marked_f(x,s(c(s(y)))) ; } + Disjunctions:{ { Marked_f(s(x),s(y)) > Marked_f(x,s(c(s(y)))) ; } } === 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: f(s(x),s(y)) >= f(x,s(c(s(y)))) constraint: f(x,c(y)) >= f(x,s(f(y,y))) constraint: Marked_f(s(x),s(y)) >= Marked_f(x,s(c(s(y)))) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] f(x,c(y)) -> f(x,s(f(y,y))) [2] f(s(x),s(y)) -> f(x,s(c(s(y)))) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ f ] (X0,X1) = 0; [ c ] (X0) = 1 + 2*X0 + 0; [ s ] (X0) = 0; [ Marked_f ] (X0,X1) = 2*X0 + 2*X1 + 0; ]} { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ f ] (X0,X1) = 0; [ c ] (X0) = 1 + 0; [ s ] (X0) = 1 + 1*X0 + 0; [ Marked_f ] (X0,X1) = 2*X0 + 1*X1 + 0; ]} ]} ]} Cime worked for 0.075798 seconds (real time) Cime Exit Status: 0