- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] active(f(f(X))) -> mark(c(f(g(f(X))))) [2] active(c(X)) -> mark(d(X)) [3] active(h(X)) -> mark(c(d(X))) [4] active(f(X)) -> f(active(X)) [5] active(h(X)) -> h(active(X)) [6] f(mark(X)) -> mark(f(X)) [7] h(mark(X)) -> mark(h(X)) [8] proper(f(X)) -> f(proper(X)) [9] proper(c(X)) -> c(proper(X)) [10] proper(g(X)) -> g(proper(X)) [11] proper(d(X)) -> d(proper(X)) [12] proper(h(X)) -> h(proper(X)) [13] f(ok(X)) -> ok(f(X)) [14] c(ok(X)) -> ok(c(X)) [15] g(ok(X)) -> ok(g(X)) [16] d(ok(X)) -> ok(d(X)) [17] h(ok(X)) -> ok(h(X)) [18] top(mark(X)) -> top(proper(X)) [19] top(ok(X)) -> top(active(X)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 8 components: { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> } { --> } { --> } { --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_top(mark(X)) >= Marked_top(proper(X)) ; Marked_top(ok(X)) >= Marked_top(active(X)) ; } + Disjunctions:{ { Marked_top(mark(X)) > Marked_top(proper(X)) ; } { Marked_top(ok(X)) > Marked_top(active(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_top(mark(X)) >= Marked_top(proper(X)) constraint: Marked_top(ok(X)) >= Marked_top(active(X)) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_proper(c(X)) >= Marked_proper(X) ; Marked_proper(f(X)) >= Marked_proper(X) ; Marked_proper(g(X)) >= Marked_proper(X) ; Marked_proper(d(X)) >= Marked_proper(X) ; Marked_proper(h(X)) >= Marked_proper(X) ; } + Disjunctions:{ { Marked_proper(c(X)) > Marked_proper(X) ; } { Marked_proper(f(X)) > Marked_proper(X) ; } { Marked_proper(g(X)) > Marked_proper(X) ; } { Marked_proper(d(X)) > Marked_proper(X) ; } { Marked_proper(h(X)) > Marked_proper(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_proper(c(X)) >= Marked_proper(X) constraint: Marked_proper(f(X)) >= Marked_proper(X) constraint: Marked_proper(g(X)) >= Marked_proper(X) constraint: Marked_proper(d(X)) >= Marked_proper(X) constraint: Marked_proper(h(X)) >= Marked_proper(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_active(f(X)) >= Marked_active(X) ; Marked_active(h(X)) >= Marked_active(X) ; } + Disjunctions:{ { Marked_active(f(X)) > Marked_active(X) ; } { Marked_active(h(X)) > Marked_active(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_active(f(X)) >= Marked_active(X) constraint: Marked_active(h(X)) >= Marked_active(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_g(ok(X)) >= Marked_g(X) ; } + Disjunctions:{ { Marked_g(ok(X)) > Marked_g(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_g(ok(X)) >= Marked_g(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_c(ok(X)) >= Marked_c(X) ; } + Disjunctions:{ { Marked_c(ok(X)) > Marked_c(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_c(ok(X)) >= Marked_c(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_d(ok(X)) >= Marked_d(X) ; } + Disjunctions:{ { Marked_d(ok(X)) > Marked_d(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_d(ok(X)) >= Marked_d(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_f(mark(X)) >= Marked_f(X) ; Marked_f(ok(X)) >= Marked_f(X) ; } + Disjunctions:{ { Marked_f(mark(X)) > Marked_f(X) ; } { Marked_f(ok(X)) > Marked_f(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_f(mark(X)) >= Marked_f(X) constraint: Marked_f(ok(X)) >= Marked_f(X) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_h(mark(X)) >= Marked_h(X) ; Marked_h(ok(X)) >= Marked_h(X) ; } + Disjunctions:{ { Marked_h(mark(X)) > Marked_h(X) ; } { Marked_h(ok(X)) > Marked_h(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_h(mark(X)) >= Marked_h(X) constraint: Marked_h(ok(X)) >= Marked_h(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_top(mark(X)) >= Marked_top(proper(X)) ; } + Disjunctions:{ { Marked_top(mark(X)) > Marked_top(proper(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_top(mark(X)) >= Marked_top(proper(X)) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_proper(c(X)) >= Marked_proper(X) ; Marked_proper(f(X)) >= Marked_proper(X) ; Marked_proper(g(X)) >= Marked_proper(X) ; Marked_proper(d(X)) >= Marked_proper(X) ; } + Disjunctions:{ { Marked_proper(c(X)) > Marked_proper(X) ; } { Marked_proper(f(X)) > Marked_proper(X) ; } { Marked_proper(g(X)) > Marked_proper(X) ; } { Marked_proper(d(X)) > Marked_proper(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_proper(c(X)) >= Marked_proper(X) constraint: Marked_proper(f(X)) >= Marked_proper(X) constraint: Marked_proper(g(X)) >= Marked_proper(X) constraint: Marked_proper(d(X)) >= Marked_proper(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_proper(c(X)) >= Marked_proper(X) ; Marked_proper(g(X)) >= Marked_proper(X) ; Marked_proper(d(X)) >= Marked_proper(X) ; } + Disjunctions:{ { Marked_proper(c(X)) > Marked_proper(X) ; } { Marked_proper(g(X)) > Marked_proper(X) ; } { Marked_proper(d(X)) > Marked_proper(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_proper(c(X)) >= Marked_proper(X) constraint: Marked_proper(g(X)) >= Marked_proper(X) constraint: Marked_proper(d(X)) >= Marked_proper(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_proper(c(X)) >= Marked_proper(X) ; Marked_proper(g(X)) >= Marked_proper(X) ; } + Disjunctions:{ { Marked_proper(c(X)) > Marked_proper(X) ; } { Marked_proper(g(X)) > Marked_proper(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_proper(c(X)) >= Marked_proper(X) constraint: Marked_proper(g(X)) >= Marked_proper(X) APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_proper(c(X)) >= Marked_proper(X) ; } + Disjunctions:{ { Marked_proper(c(X)) > Marked_proper(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_proper(c(X)) >= Marked_proper(X) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_active(f(X)) >= Marked_active(X) ; } + Disjunctions:{ { Marked_active(f(X)) > Marked_active(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_active(f(X)) >= Marked_active(X) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_f(mark(X)) >= Marked_f(X) ; } + Disjunctions:{ { Marked_f(mark(X)) > Marked_f(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_f(mark(X)) >= Marked_f(X) APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(ok(X)) >= ok(c(X)) ; f(mark(X)) >= mark(f(X)) ; f(ok(X)) >= ok(f(X)) ; g(ok(X)) >= ok(g(X)) ; active(c(X)) >= mark(d(X)) ; active(f(f(X))) >= mark(c(f(g(f(X))))) ; active(f(X)) >= f(active(X)) ; active(h(X)) >= mark(c(d(X))) ; active(h(X)) >= h(active(X)) ; d(ok(X)) >= ok(d(X)) ; h(mark(X)) >= mark(h(X)) ; h(ok(X)) >= ok(h(X)) ; proper(c(X)) >= c(proper(X)) ; proper(f(X)) >= f(proper(X)) ; proper(g(X)) >= g(proper(X)) ; proper(d(X)) >= d(proper(X)) ; proper(h(X)) >= h(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_h(mark(X)) >= Marked_h(X) ; } + Disjunctions:{ { Marked_h(mark(X)) > Marked_h(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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(ok(X)) >= ok(c(X)) constraint: f(mark(X)) >= mark(f(X)) constraint: f(ok(X)) >= ok(f(X)) constraint: g(ok(X)) >= ok(g(X)) constraint: active(c(X)) >= mark(d(X)) constraint: active(f(f(X))) >= mark(c(f(g(f(X))))) constraint: active(f(X)) >= f(active(X)) constraint: active(h(X)) >= mark(c(d(X))) constraint: active(h(X)) >= h(active(X)) constraint: d(ok(X)) >= ok(d(X)) constraint: h(mark(X)) >= mark(h(X)) constraint: h(ok(X)) >= ok(h(X)) constraint: proper(c(X)) >= c(proper(X)) constraint: proper(f(X)) >= f(proper(X)) constraint: proper(g(X)) >= g(proper(X)) constraint: proper(d(X)) >= d(proper(X)) constraint: proper(h(X)) >= h(proper(X)) constraint: top(mark(X)) >= top(proper(X)) constraint: top(ok(X)) >= top(active(X)) constraint: Marked_h(mark(X)) >= Marked_h(X) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] active(f(f(X))) -> mark(c(f(g(f(X))))) [2] active(c(X)) -> mark(d(X)) [3] active(h(X)) -> mark(c(d(X))) [4] active(f(X)) -> f(active(X)) [5] active(h(X)) -> h(active(X)) [6] f(mark(X)) -> mark(f(X)) [7] h(mark(X)) -> mark(h(X)) [8] proper(f(X)) -> f(proper(X)) [9] proper(c(X)) -> c(proper(X)) [10] proper(g(X)) -> g(proper(X)) [11] proper(d(X)) -> d(proper(X)) [12] proper(h(X)) -> h(proper(X)) [13] f(ok(X)) -> ok(f(X)) [14] c(ok(X)) -> ok(c(X)) [15] g(ok(X)) -> ok(g(X)) [16] d(ok(X)) -> ok(d(X)) [17] h(ok(X)) -> ok(h(X)) [18] top(mark(X)) -> top(proper(X)) [19] top(ok(X)) -> top(active(X)) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 1; [ active ] (X0) = 0; [ f ] (X0) = 2*X0; [ Marked_top ] (X0) = 1*X0; [ h ] (X0) = 1*X0; [ c ] (X0) = 2*X0; [ top ] (X0) = 0; [ d ] (X0) = 1*X0; [ g ] (X0) = 2*X0; [ proper ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 2 + 1*X0 + 0; [ ok ] (X0) = 2 + 0; [ active ] (X0) = 1 + 3*X0 + 0; [ f ] (X0) = 1 + 2*X0 + 0; [ Marked_top ] (X0) = 3*X0 + 0; [ h ] (X0) = 1 + 1*X0 + 0; [ c ] (X0) = 2 + 2*X0 + 0; [ top ] (X0) = 0; [ d ] (X0) = 1*X0 + 0; [ g ] (X0) = 1*X0 + 0; [ proper ] (X0) = 1*X0 + 0; ]} ]} ]} { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ ok ] (X0) = 2*X0 + 3; [ active ] (X0) = 1*X0; [ Marked_proper ] (X0) = 3*X0; [ f ] (X0) = 1*X0; [ h ] (X0) = 2*X0 + 1; [ c ] (X0) = 1*X0; [ top ] (X0) = 2*X0; [ d ] (X0) = 1*X0; [ g ] (X0) = 1*X0; [ proper ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ ok ] (X0) = 3*X0 + 3; [ active ] (X0) = 1*X0; [ Marked_proper ] (X0) = 3*X0; [ f ] (X0) = 2*X0 + 1; [ h ] (X0) = 2*X0; [ c ] (X0) = 1*X0; [ top ] (X0) = 2*X0; [ d ] (X0) = 1*X0; [ g ] (X0) = 1*X0; [ proper ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 0; [ active ] (X0) = 0; [ Marked_proper ] (X0) = 3*X0; [ f ] (X0) = 0; [ h ] (X0) = 0; [ c ] (X0) = 1*X0; [ top ] (X0) = 0; [ d ] (X0) = 2*X0 + 1; [ g ] (X0) = 1*X0; [ proper ] (X0) = 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 0; [ active ] (X0) = 0; [ Marked_proper ] (X0) = 3*X0; [ f ] (X0) = 0; [ h ] (X0) = 0; [ c ] (X0) = 1*X0; [ top ] (X0) = 0; [ d ] (X0) = 0; [ g ] (X0) = 1*X0 + 2; [ proper ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 2 + 0; [ ok ] (X0) = 2 + 2*X0 + 0; [ active ] (X0) = 2*X0 + 0; [ Marked_proper ] (X0) = 3*X0 + 0; [ f ] (X0) = 2 + 2*X0 + 0; [ h ] (X0) = 2 + 2*X0 + 0; [ c ] (X0) = 2 + 3*X0 + 0; [ top ] (X0) = 0; [ d ] (X0) = 1 + 2*X0 + 0; [ g ] (X0) = 1*X0 + 0; [ proper ] (X0) = 2*X0 + 0; ]} ]} ]} ]} ]} ]} ]} ]} ]} { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ ok ] (X0) = 2*X0 + 3; [ active ] (X0) = 1*X0; [ f ] (X0) = 2*X0; [ h ] (X0) = 2*X0 + 2; [ c ] (X0) = 1*X0; [ top ] (X0) = 2*X0; [ d ] (X0) = 1*X0; [ g ] (X0) = 1*X0; [ Marked_active ] (X0) = 3*X0; [ proper ] (X0) = 1*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 2 + 0; [ ok ] (X0) = 0; [ active ] (X0) = 2 + 3*X0 + 0; [ f ] (X0) = 2 + 2*X0 + 0; [ h ] (X0) = 2 + 0; [ c ] (X0) = 2 + 2*X0 + 0; [ top ] (X0) = 0; [ d ] (X0) = 2 + 0; [ g ] (X0) = 0; [ Marked_active ] (X0) = 3*X0 + 0; [ proper ] (X0) = 1*X0 + 0; ]} ]} ]} { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 0; [ ok ] (X0) = 2 + 2*X0 + 0; [ active ] (X0) = 3*X0 + 0; [ f ] (X0) = 2 + 3*X0 + 0; [ h ] (X0) = 2 + 2*X0 + 0; [ c ] (X0) = 2*X0 + 0; [ top ] (X0) = 0; [ d ] (X0) = 2*X0 + 0; [ g ] (X0) = 2*X0 + 0; [ proper ] (X0) = 2*X0 + 0; [ Marked_g ] (X0) = 3*X0 + 0; ]} { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 0; [ Marked_c ] (X0) = 3*X0 + 0; [ ok ] (X0) = 2 + 2*X0 + 0; [ active ] (X0) = 3*X0 + 0; [ f ] (X0) = 2 + 3*X0 + 0; [ h ] (X0) = 2*X0 + 0; [ c ] (X0) = 2*X0 + 0; [ top ] (X0) = 0; [ d ] (X0) = 1*X0 + 0; [ g ] (X0) = 2*X0 + 0; [ proper ] (X0) = 1*X0 + 0; ]} { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 3 + 1*X0 + 0; [ ok ] (X0) = 2 + 2*X0 + 0; [ active ] (X0) = 3 + 3*X0 + 0; [ f ] (X0) = 2 + 2*X0 + 0; [ h ] (X0) = 2 + 2*X0 + 0; [ Marked_d ] (X0) = 3*X0 + 0; [ c ] (X0) = 2*X0 + 0; [ top ] (X0) = 0; [ d ] (X0) = 2*X0 + 0; [ g ] (X0) = 1*X0 + 0; [ proper ] (X0) = 1*X0 + 0; ]} { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ ok ] (X0) = 2*X0 + 3; [ active ] (X0) = 1*X0; [ f ] (X0) = 1*X0; [ h ] (X0) = 2*X0; [ c ] (X0) = 1*X0; [ Marked_f ] (X0) = 3*X0; [ top ] (X0) = 2*X0; [ d ] (X0) = 1*X0; [ g ] (X0) = 1*X0; [ proper ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 2 + 1*X0 + 0; [ ok ] (X0) = 2 + 0; [ active ] (X0) = 3*X0 + 0; [ f ] (X0) = 2 + 2*X0 + 0; [ h ] (X0) = 2 + 3*X0 + 0; [ c ] (X0) = 2 + 2*X0 + 0; [ Marked_f ] (X0) = 3*X0 + 0; [ top ] (X0) = 0; [ d ] (X0) = 2*X0 + 0; [ g ] (X0) = 2 + 0; [ proper ] (X0) = 2*X0 + 0; ]} ]} ]} { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ ok ] (X0) = 2*X0 + 3; [ active ] (X0) = 1*X0; [ f ] (X0) = 1*X0; [ h ] (X0) = 3*X0; [ c ] (X0) = 1*X0; [ top ] (X0) = 2*X0; [ d ] (X0) = 1*X0; [ Marked_h ] (X0) = 3*X0; [ g ] (X0) = 1*X0; [ proper ] (X0) = 0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ mark ] (X0) = 2 + 1*X0 + 0; [ ok ] (X0) = 2 + 0; [ active ] (X0) = 2 + 3*X0 + 0; [ f ] (X0) = 1 + 2*X0 + 0; [ h ] (X0) = 1 + 2*X0 + 0; [ c ] (X0) = 2*X0 + 0; [ top ] (X0) = 0; [ d ] (X0) = 2*X0 + 0; [ Marked_h ] (X0) = 3*X0 + 0; [ g ] (X0) = 1*X0 + 0; [ proper ] (X0) = 2*X0 + 0; ]} ]} ]} ]} ]} Cime worked for 1.230580 seconds (real time) Cime Exit Status: 0