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