Consider the following premises. p_9 -> r_9. ~r_9 or q. p_9 or r_2. r_2 -> r_9. Can we infer p_1 or q from them? If possible, name the inference rules being used at each step.
 From p_9 -> r_9, r_2 -> r_9, p_9 or r_2 we can infer r_9 via disjunction elimination. From r_9 we can infer r_9 or p_1 via addition. Finally, from r_9 or p_1, ~r_9 or q we can infer p_1 or q via resolution. Therefore, the answer is yes.