Consider the following premises. forall z_1: Q(z_1) -> W(z_1). exists z_1: W(z_1) -> R(z_1). forall z_1: R(z_1) -> Q(z_1). Can we infer exists z_1: W(z_1) -> R(z_1) from them?
That is one of the premises. Therefore, the answer is yes.