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, if y_2 plays squash, then y_2 is listening to a song. There is at least one y_2 for which if y_2 listens to a song, then y_2 is fast. For all y_2, y_2 will play squash or y_2 is not fast.
There is at least one y_2 for which if y_2 plays squash, then y_2 is fast can be inferred via the existential transitivity rule. For all y_2, if y_2 were fast, then y_2 is playing squash can be inferred via the universal rewriting rule.