Consider the following premises. exists x_14: P_14(x_14) -> Q_14(x_14). forall x_14: P_1(x_14). forall x_14: P_1(x_14) -> R(x_14). forall x_14: P_12(x_14) or P_14(x_14). forall x_14: Q_14(x_14) -> W_1(x_14). forall x_14: P_12(x_14) -> W_1(x_14). Can we infer exists x_14: R(x_14) and W_1(x_14) from them?
 From exists x_14: P_14(x_14) -> Q_14(x_14), forall x_14: Q_14(x_14) -> W_1(x_14) we can infer exists x_14: P_14(x_14) -> W_1(x_14). From forall x_14: P_12(x_14) -> W_1(x_14), exists x_14: P_14(x_14) -> W_1(x_14), forall x_14: P_12(x_14) or P_14(x_14) we can infer exists x_14: W_1(x_14). From forall x_14: P_1(x_14) -> R(x_14), forall x_14: P_1(x_14) we can infer forall x_14: R(x_14). Finally, from forall x_14: R(x_14), exists x_14: W_1(x_14) we can infer exists x_14: R(x_14) and W_1(x_14). Therefore, the answer is yes.