Consider the following premises. forall x_5: P_9(x_5) -> S_5(x_5). forall x_9: P_9(x_9) and Q_9(x_9). Can we infer S_5(i_1) from them? If possible, name the inference rules being used at each step.
 From forall x_9: P_9(x_9) and Q_9(x_9) we can infer forall x_9: P_9(x_9) via universal simplification. From forall x_9: P_9(x_9) we can infer P_9(i_1) via universal instantiation. From forall x_5: P_9(x_5) -> S_5(x_5) we can infer P_9(i_1) -> S_5(i_1) via universal instantiation. Finally, from P_9(i_1) -> S_5(i_1), P_9(i_1) we can infer S_5(i_1) via modus ponens. Therefore, the answer is yes.