Consider the following premises. p_11 or q_11. ~q_11. ~p_11 or w. Can we infer ~w from them? If possible, name the inference rules being used at each step.
 From p_11 or q_11, ~p_11 or w we can infer q_11 or w via resolution. Finally, from q_11 or w, ~q_11 we can infer w via disjunctive syllogism, which contradicts ~w. Therefore, the answer is no.