Consider the following premises. forall x_3: ~S_4(x_3) or T(x_3). exists x_3: ~W_2(x_3). forall x_3: S_4(x_3). Can we infer exists x_3: T(x_3) from them? If possible, name the inference rules being used at each step.
 From forall x_3: S_4(x_3) we can infer forall x_3: S_4(x_3) or W_2(x_3) via universal addition. From forall x_3: S_4(x_3) or W_2(x_3), forall x_3: ~S_4(x_3) or T(x_3) we can infer forall x_3: W_2(x_3) or T(x_3) via universal resolution. Finally, from forall x_3: W_2(x_3) or T(x_3), exists x_3: ~W_2(x_3) we can infer exists x_3: T(x_3) via existential disjunctive syllogism. Therefore, the answer is yes.