Consider the following premises. forall x_8: U_3(x_8) -> Q_3(x_8). forall x_8: ~Q_8(x_8) or W(x_8). forall x_8: P_8(x_8) or Q_8(x_8). forall x_8: W(x_8) -> R_3(x_8). forall x_8: ~P_8(x_8) or U_3(x_8). forall x_8: Q_3(x_8) -> R_3(x_8). Can we infer forall x_8: R_3(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 U_3(x_8) we can infer forall x_8: Q_8(x_8) or U_3(x_8). From forall x_8: U_3(x_8) -> Q_3(x_8), forall x_8: Q_3(x_8) -> R_3(x_8) we can infer forall x_8: U_3(x_8) -> R_3(x_8). From forall x_8: Q_8(x_8) or U_3(x_8), forall x_8: ~Q_8(x_8) or W(x_8) we can infer forall x_8: U_3(x_8) or W(x_8). Finally, from forall x_8: U_3(x_8) -> R_3(x_8), forall x_8: W(x_8) -> R_3(x_8), forall x_8: U_3(x_8) or W(x_8) we can infer forall x_8: R_3(x_8). Therefore, the answer is yes.