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 will listen to a song. For all x_5, x_5 is not a politician. For all x_5, x_5 is a politician or x_5 is a carpenter.
For all x_5, x_5 is a carpenter can be inferred via the universal disjunctive syllogism rule.