Consider the following premises. forall x_10: Q_5(x_10) -> W(x_10). forall x_10: Q_10(x_10) or P_5(x_10). forall x_10: P_5(x_10) -> Q_5(x_10). forall x_10: W(x_10) or ~Q_10(x_10). Can we infer forall x_10: W(x_10) or P(x_10) from them?
 From forall x_10: W(x_10) or ~Q_10(x_10) we can infer forall x_10: Q_10(x_10) -> W(x_10). From forall x_10: P_5(x_10) -> Q_5(x_10), forall x_10: Q_5(x_10) -> W(x_10) we can infer forall x_10: P_5(x_10) -> W(x_10). From forall x_10: Q_10(x_10) -> W(x_10), forall x_10: P_5(x_10) -> W(x_10), forall x_10: Q_10(x_10) or P_5(x_10) we can infer forall x_10: W(x_10). Finally, from forall x_10: W(x_10) we can infer forall x_10: W(x_10) or P(x_10). Therefore, the answer is yes.