What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: For all x_14, x_14 is a musician or x_14 will play a game. For all x_14, if x_14 climbs a mountain, then x_14 is cooking. There is at least one x_14 for which x_14 is not a musician. For all x_14, if x_14 plays a game, then x_14 is climbing a mountain.
For all x_14, if x_14 plays a game, then x_14 is cooking can be inferred via the universal transitivity rule. There is at least one x_14 for which x_14 will play a game can be inferred via the existential disjunctive syllogism rule.