Consider the following premises. exists x_4: P_4(x_4) or Q_2(x_4). forall x_4: ~P_4(x_4). forall x_4: Q_2(x_4) -> T(x_4). Can we infer forall x_4: ~T(x_4) from them? If possible, name the inference rules being used at each step.
 From exists x_4: P_4(x_4) or Q_2(x_4), forall x_4: ~P_4(x_4) we can infer exists x_4: Q_2(x_4) via existential disjunctive syllogism. Finally, from forall x_4: Q_2(x_4) -> T(x_4), exists x_4: Q_2(x_4) we can infer exists x_4: T(x_4) via existential modus ponens, which contradicts forall x_4: ~T(x_4). Therefore, the answer is no.