Consider the following premises. R_15(a_15) or ~q_2. forall x_15: R_15(x_15) -> S_15(x_15). ~S_15(a_15). Can we infer q_2 from them? If possible, name the inference rules being used at each step.
 From forall x_15: R_15(x_15) -> S_15(x_15) we can infer R_15(a_15) -> S_15(a_15) via universal instantiation. From R_15(a_15) -> S_15(a_15), ~S_15(a_15) we can infer ~R_15(a_15) via modus tollens. From R_15(a_15) or ~q_2 we can infer q_2 -> R_15(a_15) via rewriting. Finally, from q_2 -> R_15(a_15), ~R_15(a_15) we can infer ~q_2 via modus tollens, which contradicts q_2. Therefore, the answer is no.