Consider the following premises. exists x_3: R(x_3) -> W(x_3). forall x_3: W(x_3) -> Q_3(x_3). forall x_3: Q_3(x_3) -> R(x_3). Can we infer exists x_3: R(x_3) -> W(x_3) from them?
That is one of the premises. Therefore, the answer is yes.