Consider the following premises. forall x: W(x) or U_4(x). forall x: ~W(x) or T(x). forall x: ~U_4(x). forall x: ~T(x). Can we infer forall x: S(x) from them?
 From forall x: W(x) or U_4(x), forall x: ~W(x) or T(x) we can infer forall x: U_4(x) or T(x). From forall x: U_4(x) or T(x), forall x: ~U_4(x) we can infer forall x: T(x). From forall x: T(x) we can infer forall x: T(x) or S(x). Finally, from forall x: T(x) or S(x), forall x: ~T(x) we can infer forall x: S(x). Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.