Consider the following premises. forall x_17: R_17(x_17) or S_17(x_17). ~R_17(a_17). p_2 -> ~S_17(a_17). p_2 <-> w. Can we infer w from them? If possible, name the inference rules being used at each step.
 From forall x_17: R_17(x_17) or S_17(x_17) we can infer R_17(a_17) or S_17(a_17) via universal instantiation. From R_17(a_17) or S_17(a_17), ~R_17(a_17) we can infer S_17(a_17) via disjunctive syllogism. From p_2 -> ~S_17(a_17), S_17(a_17) we can infer ~p_2 via modus tollens. Finally, from p_2 <-> w, ~p_2 we can infer ~w via biconditional elimination, which contradicts w. Therefore, the answer is no.