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: There is at least one y for which y will listen to a song and y is poor. For all y, y is a scientist or y will not listen to a song.
There is at least one y for which y will listen to a song can be inferred via the existential simplification rule. There is at least one y for which y is poor can be inferred via the existential simplification rule. For all y, if y listens to a song, then y is a scientist can be inferred via the universal rewriting rule.