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