Consider the following premises. ~R_6(a_6) or q. ~S_6(a_6) or q_3. forall x_6: R_6(x_6) or S_6(x_6). Can we infer q or q_3 from them? If possible, name the inference rules being used at each step.
 From forall x_6: R_6(x_6) or S_6(x_6) we can infer R_6(a_6) or S_6(a_6) via universal instantiation. From R_6(a_6) or S_6(a_6), ~R_6(a_6) or q we can infer S_6(a_6) or q via resolution. Finally, from S_6(a_6) or q, ~S_6(a_6) or q_3 we can infer q or q_3 via resolution. Therefore, the answer is yes.