Consider the following premises. exists z: ~S(z). forall z: Q(z). forall z: S(z) or Q_4(z). Can we infer exists z: Q(z) and Q_4(z) from them?
 From forall z: S(z) or Q_4(z), exists z: ~S(z) we can infer exists z: Q_4(z). Finally, from forall z: Q(z), exists z: Q_4(z) we can infer exists z: Q(z) and Q_4(z). Therefore, the answer is yes.