Consider the following premises. forall x_14: P_14(x_14) and Q_14(x_14). exists x_14: R_2(x_14) and Q_8(x_14). Can we infer exists x_14: P_14(x_14) from them?
 From forall x_14: P_14(x_14) and Q_14(x_14) we can infer forall x_14: P_14(x_14). From exists x_14: R_2(x_14) and Q_8(x_14) we can infer exists x_14: R_2(x_14). From exists x_14: R_2(x_14), forall x_14: P_14(x_14) we can infer exists x_14: R_2(x_14) and P_14(x_14). Finally, from exists x_14: R_2(x_14) and P_14(x_14) we can infer exists x_14: P_14(x_14). Therefore, the answer is yes.