Consider the following premises. ~u_1 or w. forall x_9: R_9(x_9) or S_9(x_9). ~S_9(a_9) or q. ~R_9(a_9) or u_1. Can we infer q or w from them? If possible, name the inference rules being used at each step.
 From forall x_9: R_9(x_9) or S_9(x_9) we can infer R_9(a_9) or S_9(a_9) via universal instantiation. From R_9(a_9) or S_9(a_9), ~R_9(a_9) or u_1 we can infer S_9(a_9) or u_1 via resolution. From S_9(a_9) or u_1, ~S_9(a_9) or q we can infer u_1 or q via resolution. Finally, from u_1 or q, ~u_1 or w we can infer q or w via resolution. Therefore, the answer is yes.