Consider the following premises. forall x_10: P_10(x_10) -> R_8(x_10). forall x_10: P_10(x_10). exists x_10: Q_10(x_10) -> R_8(x_10). Can we infer exists x_10: R_8(x_10) or Q(x_10) from them?
 From forall x_10: P_10(x_10) we can infer forall x_10: P_10(x_10) or Q_10(x_10). From forall x_10: P_10(x_10) -> R_8(x_10), exists x_10: Q_10(x_10) -> R_8(x_10), forall x_10: P_10(x_10) or Q_10(x_10) we can infer exists x_10: R_8(x_10). Finally, from exists x_10: R_8(x_10) we can infer exists x_10: R_8(x_10) or Q(x_10). Therefore, the answer is yes.