Consider the following premises. exists x_14: W(x_14) and Q_2(x_14). forall x_14: U(x_14). forall x_14: Q_14(x_14). Can we infer exists x_14: U(x_14) and W(x_14) from them?
 From forall x_14: U(x_14), forall x_14: Q_14(x_14) we can infer forall x_14: U(x_14) and Q_14(x_14). From forall x_14: U(x_14) and Q_14(x_14) we can infer forall x_14: U(x_14). From exists x_14: W(x_14) and Q_2(x_14) we can infer exists x_14: W(x_14). Finally, from forall x_14: U(x_14), exists x_14: W(x_14) we can infer exists x_14: U(x_14) and W(x_14). Therefore, the answer is yes.