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 x_3, if x_3 listens to a song, then x_3 is playing squash. James is not playing squash. For all x_3, if x_3 plays squash, then x_3 is a poet. For all x_3, if x_3 were a poet, then x_3 is listening to a song.
For all x_3, if x_3 listens to a song, then x_3 is a poet can be inferred via the universal transitivity 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. For all x_3, if x_3 were a poet, then x_3 is playing squash can be inferred via the universal transitivity rule.