Consider the following premises. forall x_8: ~P_8(x_8) or R_8(x_8). forall x_8: Q_8(x_8) -> W(x_8). forall x_8: R_8(x_8) -> W(x_8). forall x_8: ~W(x_8) or U_4(x_8). forall x_8: P_8(x_8) or Q_8(x_8). Can we infer exists x_8: ~(S(x_8) or U_4(x_8)) from them?
 From forall x_8: P_8(x_8) or Q_8(x_8), forall x_8: ~P_8(x_8) or R_8(x_8) we can infer forall x_8: Q_8(x_8) or R_8(x_8). From forall x_8: Q_8(x_8) -> W(x_8), forall x_8: R_8(x_8) -> W(x_8), forall x_8: Q_8(x_8) or R_8(x_8) we can infer forall x_8: W(x_8). From forall x_8: W(x_8) we can infer forall x_8: W(x_8) or S(x_8). Finally, from forall x_8: W(x_8) or S(x_8), forall x_8: ~W(x_8) or U_4(x_8) we can infer forall x_8: S(x_8) or U_4(x_8), which contradicts exists x_8: ~(S(x_8) or U_4(x_8)). Therefore, the answer is no.