Consider the following premises. p -> r_1. r_1 <-> T(a_10). forall z_2: ~T(z_2). Can we infer p from them?
 From forall z_2: ~T(z_2) we can infer ~T(a_10). From r_1 <-> T(a_10), ~T(a_10) we can infer ~r_1. Finally, from p -> r_1, ~r_1 we can infer ~p, which contradicts p. Therefore, the answer is no.