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, if y listens to a song, then y is taking a plane. For all y, if y were an artist, then y is listening to a song. There is at least one y for which if y takes a plane, then y is an artist. For all y, y will not listen to a song.
For all y, y is not an artist can be inferred via the universal modus tollens rule. For all y, if y were an artist, then y is taking a plane can be inferred via the universal transitivity rule. There is at least one y for which if y takes a plane, then y is listening to a song can be inferred via the existential transitivity rule. There is at least one y for which if y listens to a song, then y is an artist can be inferred via the existential transitivity rule.