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_9, x_9 is a poet. For all x_9, if x_9 were a poet, then x_9 is listening to a song. For all x_9, x_9 is a politician or x_9 is a janitor. For all x_9, x_9 is not a politician.
For all x_9, x_9 will listen to a song can be inferred via the universal modus ponens rule. For all x_9, x_9 is a janitor can be inferred via the universal disjunctive syllogism rule.