Consider the following premises. ~q or w. w_4 <-> w. q_2 -> w_4. q or q_2. Can we infer w_4 from them? If possible, name the inference rules being used at each step.
 From w_4 <-> w we can infer w -> w_4 via biconditional elimination. From q or q_2, ~q or w we can infer q_2 or w via resolution. Finally, from q_2 -> w_4, w -> w_4, q_2 or w we can infer w_4 via disjunction elimination. Therefore, the answer is yes.