Consider the following premises. forall y: Q(y) or ~S(y). forall y: T_4(y) -> S(y). forall y: ~W_4(y). forall y: S(y) -> T_4(y). forall y: Q(y) -> W_4(y). Can we infer forall y: ~T_4(y) from them?
 From forall y: Q(y) -> W_4(y), forall y: ~W_4(y) we can infer forall y: ~Q(y). From forall y: Q(y) or ~S(y) we can infer forall y: S(y) -> Q(y). From forall y: T_4(y) -> S(y), forall y: S(y) -> T_4(y) we can infer forall y: T_4(y) <-> S(y). From forall y: S(y) -> Q(y), forall y: ~Q(y) we can infer forall y: ~S(y). Finally, from forall y: T_4(y) <-> S(y), forall y: ~S(y) we can infer forall y: ~T_4(y). Therefore, the answer is yes.