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: p_2 -> p_3. p_3 -> w. ~w. p -> p_2.
~p_3 can be inferred via the modus tollens rule. p_2 -> w can be inferred via the transitivity rule. p -> p_3 can be inferred via the transitivity rule.