Consider the following premises. forall x_15: Q_9(x_15) -> R_9(x_15). forall x_15: P_15(x_15) and Q_15(x_15). forall x_15: P_15(x_15) -> Q_9(x_15). forall x_15: W(x_15) -> Q(x_15). forall x_15: Q(x_15) -> ~R_9(x_15). Can we infer exists x_15: W(x_15) from them?
 From forall x_15: P_15(x_15) and Q_15(x_15) we can infer forall x_15: P_15(x_15). From forall x_15: P_15(x_15) -> Q_9(x_15), forall x_15: Q_9(x_15) -> R_9(x_15) we can infer forall x_15: P_15(x_15) -> R_9(x_15). From forall x_15: P_15(x_15) -> R_9(x_15), forall x_15: P_15(x_15) we can infer forall x_15: R_9(x_15). From forall x_15: Q(x_15) -> ~R_9(x_15), forall x_15: R_9(x_15) we can infer forall x_15: ~Q(x_15). Finally, from forall x_15: W(x_15) -> Q(x_15), forall x_15: ~Q(x_15) we can infer forall x_15: ~W(x_15), which contradicts exists x_15: W(x_15). Therefore, the answer is no.