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 x_3 for which if x_3 listens to a song, then x_3 is playing squash. For all x_3, x_3 is not an artist. For all x_3, if x_3 were an artist, then x_3 is listening to a song. For all x_3, if x_3 plays squash, then x_3 is an artist.
For all x_3, x_3 will not play squash can be inferred via the universal modus tollens rule. For all x_3, if x_3 plays squash, then x_3 is listening to a song can be inferred via the universal transitivity rule. There is at least one x_3 for which if x_3 listens to a song, then x_3 is an artist can be inferred via the existential transitivity rule. There is at least one x_3 for which if x_3 were an artist, then x_3 is playing squash can be inferred via the existential transitivity rule.