Consider the following premises. forall x_10: T_2(x_10) -> S_10(x_10). p_3 <-> S_10(a_10). ~p_3. Can we infer T_2(a_10) from them?
 From forall x_10: T_2(x_10) -> S_10(x_10) we can infer T_2(a_10) -> S_10(a_10). From p_3 <-> S_10(a_10), ~p_3 we can infer ~S_10(a_10). Finally, from T_2(a_10) -> S_10(a_10), ~S_10(a_10) we can infer ~T_2(a_10), which contradicts T_2(a_10). Therefore, the answer is no.