Consider the following premises. ~p_3. p_3 or ~w_3. Can we infer ~w_3 or w from them? If possible, name the inference rules being used at each step.
 From p_3 or ~w_3 we can infer w_3 -> p_3 via rewriting. From w_3 -> p_3, ~p_3 we can infer ~w_3 via modus tollens. Finally, from ~w_3 we can infer ~w_3 or w via addition. Therefore, the answer is yes.