Consider the following premises. Q_2(a_14) or t_2. forall x: Q_2(x) -> T(x). t_2 -> T(a_14). Can we infer T(a_14) or p from them? If possible, name the inference rules being used at each step.
 From forall x: Q_2(x) -> T(x) we can infer Q_2(a_14) -> T(a_14) via universal instantiation. From Q_2(a_14) -> T(a_14), t_2 -> T(a_14), Q_2(a_14) or t_2 we can infer T(a_14) via disjunction elimination. Finally, from T(a_14) we can infer T(a_14) or p via addition. Therefore, the answer is yes.