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_3, x_3 will play tennis or x_3 will not climb a mountain. For all x_3, if x_3 plays tennis, then x_3 is listening to a song. For all x_3, if x_3 listens to a song, then x_3 is climbing a mountain.
For all x_3, if x_3 plays tennis, then x_3 is climbing a mountain can be inferred via the universal transitivity rule. For all x_3, if x_3 climbs a mountain, then x_3 is playing tennis can be inferred via the universal rewriting rule.