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 y_2, y_2 will work. There is at least one y_2 for which y_2 is a carpenter or y_2 will take a plane. For all y_2, if y_2 works, then y_2 is sleeping. For all y_2, y_2 is not a carpenter.
For all y_2, y_2 will sleep can be inferred via the universal modus ponens rule. There is at least one y_2 for which y_2 will take a plane can be inferred via the existential disjunctive syllogism rule.