Consider the following premises. w_2 -> R_5(a_5). forall x_5: ~R_5(x_5). Can we infer ~w_2 from them? If possible, name the inference rules being used at each step.
 From forall x_5: ~R_5(x_5) we can infer ~R_5(a_5) via universal instantiation. Finally, from w_2 -> R_5(a_5), ~R_5(a_5) we can infer ~w_2 via modus tollens. Therefore, the answer is yes.