Consider the following premises. forall x_8: S_3(x_8) -> ~U(x_8). forall x_8: U(x_8). forall x_8: U_2(x_8) <-> S_3(x_8). forall x_8: P_1(x_8) or U_2(x_8). forall x_8: ~P_1(x_8) or W(x_8). Can we infer forall x_8: W(x_8) from them?
 From forall x_8: S_3(x_8) -> ~U(x_8), forall x_8: U(x_8) we can infer forall x_8: ~S_3(x_8). From forall x_8: U_2(x_8) <-> S_3(x_8), forall x_8: ~S_3(x_8) we can infer forall x_8: ~U_2(x_8). From forall x_8: P_1(x_8) or U_2(x_8), forall x_8: ~P_1(x_8) or W(x_8) we can infer forall x_8: U_2(x_8) or W(x_8). Finally, from forall x_8: U_2(x_8) or W(x_8), forall x_8: ~U_2(x_8) we can infer forall x_8: W(x_8). Therefore, the answer is yes.