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 y_2, y_2 will go running or y_2 will climb a mountain. If it rains, then Elisabeth is playing tennis. If Patricia goes running, then it is raining. If Patricia climbs a mountain, then it is raining.
If Patricia goes running, then Elisabeth is playing tennis can be inferred via the transitivity rule. If Patricia climbs a mountain, then Elisabeth is playing tennis can be inferred via the transitivity rule.