Consider the following premises. forall x_8: S(x_8) -> S_8(x_8). S(a_8). q_1 -> S_8(a_8). Can we infer S_8(a_8) from them? If possible, name the inference rules being used at each step.
 From forall x_8: S(x_8) -> S_8(x_8) we can infer S(a_8) -> S_8(a_8) via universal instantiation. From S(a_8) we can infer S(a_8) or q_1 via addition. Finally, from S(a_8) -> S_8(a_8), q_1 -> S_8(a_8), S(a_8) or q_1 we can infer S_8(a_8) via disjunction elimination. Therefore, the answer is yes.