Consider the following premises. forall y_4: Q(y_4). forall y_4: ~Q_2(y_4). exists y_4: ~Q(y_4) or T(y_4). Can we infer forall y_4: ~T(y_4) from them? If possible, name the inference rules being used at each step.
 From forall y_4: Q(y_4) we can infer forall y_4: Q(y_4) or Q_2(y_4) via universal addition. From forall y_4: Q(y_4) or Q_2(y_4), exists y_4: ~Q(y_4) or T(y_4) we can infer exists y_4: Q_2(y_4) or T(y_4) via existential resolution. Finally, from exists y_4: Q_2(y_4) or T(y_4), forall y_4: ~Q_2(y_4) we can infer exists y_4: T(y_4) via existential disjunctive syllogism, which contradicts forall y_4: ~T(y_4). Therefore, the answer is no.