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 z, if z plays a game, then z is taking a plane. For all z, if z takes a plane, then z is climbing a mountain. For all z, z will play a game or z will not climb a mountain.
For all z, if z plays a game, then z is climbing a mountain can be inferred via the universal transitivity rule. For all z, if z climbs a mountain, then z is playing a game can be inferred via the universal rewriting rule.