Consider the following premises. forall x_18: R_1(x_18) -> W(x_18). forall x_18: T(x_18) <-> W(x_18). forall x_18: P_14(x_18) or Q_14(x_18). forall x_18: ~R_14(x_18) or R_1(x_18). forall x_18: P_14(x_18) -> R_14(x_18). exists x_18: Q_14(x_18) -> R_14(x_18). Can we infer exists x_18: W(x_18) from them?
 From forall x_18: T(x_18) <-> W(x_18) we can infer forall x_18: T(x_18) -> W(x_18). From forall x_18: P_14(x_18) -> R_14(x_18), exists x_18: Q_14(x_18) -> R_14(x_18), forall x_18: P_14(x_18) or Q_14(x_18) we can infer exists x_18: R_14(x_18). From exists x_18: R_14(x_18) we can infer exists x_18: R_14(x_18) or T(x_18). From exists x_18: R_14(x_18) or T(x_18), forall x_18: ~R_14(x_18) or R_1(x_18) we can infer exists x_18: T(x_18) or R_1(x_18). Finally, from forall x_18: T(x_18) -> W(x_18), forall x_18: R_1(x_18) -> W(x_18), exists x_18: T(x_18) or R_1(x_18) we can infer exists x_18: W(x_18). Therefore, the answer is yes.