Consider the following premises. forall z_1: ~S_1(z_1). exists z_1: S_1(z_1) -> Q_3(z_1). forall z_1: S_1(z_1) or ~Q_3(z_1). Can we infer forall z_1: S_1(z_1) or ~Q_3(z_1) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.