Consider the following premises. forall x_3: S(x_3) <-> T_4(x_3). forall x_3: ~U(x_3) or W(x_3). forall x_3: U_1(x_3). forall x_3: ~T_4(x_3). forall x_3: U(x_3) or S(x_3). Can we infer exists x_3: ~(W(x_3) and U_1(x_3)) from them?
 From forall x_3: U(x_3) or S(x_3), forall x_3: ~U(x_3) or W(x_3) we can infer forall x_3: S(x_3) or W(x_3). From forall x_3: S(x_3) <-> T_4(x_3), forall x_3: ~T_4(x_3) we can infer forall x_3: ~S(x_3). From forall x_3: S(x_3) or W(x_3), forall x_3: ~S(x_3) we can infer forall x_3: W(x_3). Finally, from forall x_3: W(x_3), forall x_3: U_1(x_3) we can infer forall x_3: W(x_3) and U_1(x_3), which contradicts exists x_3: ~(W(x_3) and U_1(x_3)). Therefore, the answer is no.