Consider the following premises. ~Q_6(a_3) or q_3. forall x_6: ~P_6(x_6) or R_5(x_6). forall x_6: P_6(x_6). Can we infer R_5(a_3) or q_3 from them? If possible, name the inference rules being used at each step.
 From forall x_6: P_6(x_6) we can infer forall x_6: P_6(x_6) or Q_6(x_6) via universal addition. From forall x_6: P_6(x_6) or Q_6(x_6), forall x_6: ~P_6(x_6) or R_5(x_6) we can infer forall x_6: Q_6(x_6) or R_5(x_6) via universal resolution. From forall x_6: Q_6(x_6) or R_5(x_6) we can infer Q_6(a_3) or R_5(a_3) via universal instantiation. Finally, from Q_6(a_3) or R_5(a_3), ~Q_6(a_3) or q_3 we can infer R_5(a_3) or q_3 via resolution. Therefore, the answer is yes.