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, y is a doctor and y is an artist. For all y, y is fast. For all y, if y listens to a song, then y is not fast. For all y, y will listen to a song or y will cook.
For all y, y will not listen to a song can be inferred via the universal modus tollens rule. For all y, y is a doctor can be inferred via the universal simplification rule. For all y, y is an artist can be inferred via the universal simplification rule.