Consider the following premises. forall z_1: S(z_1). forall z_1: S(z_1) <-> Q(z_1). forall z_1: ~Q(z_1). Can we infer exists z_1: ~R_3(z_1) from them? If possible, name the inference rules being used at each step.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.