Consider the following premises. forall z_2: W_2(z_2) -> Q_4(z_2). forall z_2: R(z_2) or ~W_2(z_2). forall z_2: Q_4(z_2) <-> W_2(z_2). forall z_2: ~R(z_2). Can we infer forall z_2: R(z_2) or ~W_2(z_2) from them?
That is one of the premises. Therefore, the answer is yes.