Consider the following premises. forall x_2: W_1(x_2) -> ~S(x_2). forall x_2: S(x_2). forall x_2: W_1(x_2) or T(x_2). Can we infer forall x_2: T(x_2) from them? If possible, name the inference rules being used at each step.
 From forall x_2: W_1(x_2) -> ~S(x_2), forall x_2: S(x_2) we can infer forall x_2: ~W_1(x_2) via universal modus tollens. Finally, from forall x_2: W_1(x_2) or T(x_2), forall x_2: ~W_1(x_2) we can infer forall x_2: T(x_2) via universal disjunctive syllogism. Therefore, the answer is yes.