Consider the following premises. forall z: T(z) -> R_3(z). forall z: T(z) or ~Q(z). exists z: Q(z) or ~R_3(z). Can we infer exists z: R_3(z) -> T(z) from them? If possible, name the inference rules being used at each step.
 From forall z: T(z) or ~Q(z) we can infer forall z: Q(z) -> T(z) via universal rewriting. From exists z: Q(z) or ~R_3(z) we can infer exists z: R_3(z) -> Q(z) via existential rewriting. Finally, from exists z: R_3(z) -> Q(z), forall z: Q(z) -> T(z) we can infer exists z: R_3(z) -> T(z) via existential transitivity. Therefore, the answer is yes.