Consider the following premises. q_2 -> P_10(a_8). p_2 or q_2. forall x_10: P_10(x_10) or ~Q_10(x_10). ~p_2 or Q_10(a_8). Can we infer P_10(a_8) from them?
 From forall x_10: P_10(x_10) or ~Q_10(x_10) we can infer forall x_10: Q_10(x_10) -> P_10(x_10). From forall x_10: Q_10(x_10) -> P_10(x_10) we can infer Q_10(a_8) -> P_10(a_8). From p_2 or q_2, ~p_2 or Q_10(a_8) we can infer q_2 or Q_10(a_8). Finally, from q_2 -> P_10(a_8), Q_10(a_8) -> P_10(a_8), q_2 or Q_10(a_8) we can infer P_10(a_8). Therefore, the answer is yes.