Consider the following premises. forall x_8: Q_8(x_8). forall x_8: Q_3(x_8). forall x_8: P_8(x_8). Can we infer Q_3(a_2) from them?
 From forall x_8: P_8(x_8), forall x_8: Q_8(x_8) we can infer forall x_8: P_8(x_8) and Q_8(x_8). From forall x_8: P_8(x_8) and Q_8(x_8) we can infer forall x_8: P_8(x_8). From forall x_8: P_8(x_8), forall x_8: Q_3(x_8) we can infer forall x_8: P_8(x_8) and Q_3(x_8). From forall x_8: P_8(x_8) and Q_3(x_8) we can infer P_8(a_2) and Q_3(a_2). Finally, from P_8(a_2) and Q_3(a_2) we can infer Q_3(a_2). Therefore, the answer is yes.