Consider the following premises. forall z: P_2(z). forall z: P_2(z) -> Q(z). forall z: ~R_1(z). forall z: T_2(z) -> R_1(z). exists z: T_2(z) or W_4(z). Can we infer exists z: W_4(z) and Q(z) from them? If possible, name the inference rules being used at each step.
 From forall z: T_2(z) -> R_1(z), forall z: ~R_1(z) we can infer forall z: ~T_2(z) via universal modus tollens. From forall z: P_2(z) -> Q(z), forall z: P_2(z) we can infer forall z: Q(z) via universal modus ponens. From exists z: T_2(z) or W_4(z), forall z: ~T_2(z) we can infer exists z: W_4(z) via existential disjunctive syllogism. Finally, from exists z: W_4(z), forall z: Q(z) we can infer exists z: W_4(z) and Q(z) via existential conjunction. Therefore, the answer is yes.