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_5, x_5 is not a bartender. There is at least one x_5 for which x_5 will cook or x_5 is rich. For all x_5, if x_5 listens to a song, then x_5 is a bartender. For all x_5, if x_5 cooks, then x_5 is listening to a song.
For all x_5, x_5 will not listen to a song can be inferred via the universal modus tollens rule. For all x_5, if x_5 cooks, then x_5 is a bartender can be inferred via the universal transitivity rule.