Consider the following premises. forall x: T_3(x) <-> S(x). forall x: S(x) <-> T(x). forall x: ~W_1(x). forall x: T(x) -> W_1(x). Can we infer forall x: ~T_3(x) from them?
 From forall x: T(x) -> W_1(x), forall x: ~W_1(x) we can infer forall x: ~T(x). From forall x: S(x) <-> T(x), forall x: ~T(x) we can infer forall x: ~S(x). Finally, from forall x: T_3(x) <-> S(x), forall x: ~S(x) we can infer forall x: ~T_3(x). Therefore, the answer is yes.