Consider the following premises. p -> ~T_1(a_9). forall z_4: ~T_2(z_4). forall z_4: T_2(z_4) or T_1(z_4). Can we infer p from them? If possible, name the inference rules being used at each step.
 From forall z_4: T_2(z_4) or T_1(z_4), forall z_4: ~T_2(z_4) we can infer forall z_4: T_1(z_4) via universal disjunctive syllogism. From forall z_4: T_1(z_4) we can infer T_1(a_9) via universal instantiation. Finally, from p -> ~T_1(a_9), T_1(a_9) we can infer ~p via modus tollens, which contradicts p. Therefore, the answer is no.