Consider the following premises. forall x_16: P_10(x_16) -> R_1(x_16). forall x_16: Q_10(x_16) -> R_1(x_16). forall x_16: W(x_16) <-> R_1(x_16). exists x_16: P_10(x_16). Can we infer exists x_16: W(x_16) from them?
 From forall x_16: W(x_16) <-> R_1(x_16) we can infer forall x_16: R_1(x_16) -> W(x_16). From exists x_16: P_10(x_16) we can infer exists x_16: P_10(x_16) or Q_10(x_16). From forall x_16: P_10(x_16) -> R_1(x_16), forall x_16: Q_10(x_16) -> R_1(x_16), exists x_16: P_10(x_16) or Q_10(x_16) we can infer exists x_16: R_1(x_16). Finally, from forall x_16: R_1(x_16) -> W(x_16), exists x_16: R_1(x_16) we can infer exists x_16: W(x_16). Therefore, the answer is yes.