Consider the following premises. t -> p_2. p_2 -> R(e). forall z: ~R(z). Can we infer ~t from them? If possible, name the inference rules being used at each step.
 From forall z: ~R(z) we can infer ~R(e) via universal instantiation. From p_2 -> R(e), ~R(e) we can infer ~p_2 via modus tollens. Finally, from t -> p_2, ~p_2 we can infer ~t via modus tollens. Therefore, the answer is yes.