Consider the following premises. p_11 and q_11. ~p_11 or w_2. w_2 -> w. q_2 -> w. Can we infer ~w from them? If possible, name the inference rules being used at each step.
 From p_11 and q_11 we can infer p_11 via simplification. From p_11 we can infer p_11 or q_2 via addition. From p_11 or q_2, ~p_11 or w_2 we can infer q_2 or w_2 via resolution. Finally, from q_2 -> w, w_2 -> w, q_2 or w_2 we can infer w via disjunction elimination, which contradicts ~w. Therefore, the answer is no.