Consider the following premises. forall z: ~Q(z) or T(z). forall z: P(z) or Q(z). exists z: ~P(z) or U_1(z). forall z: ~U_1(z). Can we infer forall z: ~T(z) from them? If possible, name the inference rules being used at each step.
 From forall z: P(z) or Q(z), exists z: ~P(z) or U_1(z) we can infer exists z: Q(z) or U_1(z) via existential resolution. From exists z: Q(z) or U_1(z), forall z: ~Q(z) or T(z) we can infer exists z: U_1(z) or T(z) via existential resolution. Finally, from exists z: U_1(z) or T(z), forall z: ~U_1(z) we can infer exists z: T(z) via existential disjunctive syllogism, which contradicts forall z: ~T(z). Therefore, the answer is no.