Consider the following premises. ~S_19(a_19). forall x_19: R_19(x_19) -> S_19(x_19). R_19(a_19) or w_1. Can we infer w_1 or w from them? If possible, name the inference rules being used at each step.
 From forall x_19: R_19(x_19) -> S_19(x_19) we can infer R_19(a_19) -> S_19(a_19) via universal instantiation. From R_19(a_19) -> S_19(a_19), ~S_19(a_19) we can infer ~R_19(a_19) via modus tollens. From R_19(a_19) or w_1, ~R_19(a_19) we can infer w_1 via disjunctive syllogism. Finally, from w_1 we can infer w_1 or w via addition. Therefore, the answer is yes.