Consider the following premises. forall x_14: W(x_14) -> P(x_14). forall x_14: P_14(x_14) or W_2(x_14). forall x_14: W(x_14). exists x_14: P_14(x_14) -> Q_14(x_14). forall x_14: ~Q_14(x_14). Can we infer exists x_14: P(x_14) and W_2(x_14) from them?
 From exists x_14: P_14(x_14) -> Q_14(x_14), forall x_14: ~Q_14(x_14) we can infer exists x_14: ~P_14(x_14). From forall x_14: P_14(x_14) or W_2(x_14), exists x_14: ~P_14(x_14) we can infer exists x_14: W_2(x_14). From forall x_14: W(x_14) -> P(x_14), forall x_14: W(x_14) we can infer forall x_14: P(x_14). Finally, from forall x_14: P(x_14), exists x_14: W_2(x_14) we can infer exists x_14: P(x_14) and W_2(x_14). Therefore, the answer is yes.