Consider the following premises. forall x_14: Q_14(x_14) -> T(x_14). forall x_14: T(x_14) -> T_4(x_14). forall x_14: P_14(x_14) or Q_14(x_14). exists x_14: ~P_14(x_14). Can we infer forall x_14: ~T_4(x_14) from them? If possible, name the inference rules being used at each step.
 From forall x_14: P_14(x_14) or Q_14(x_14), exists x_14: ~P_14(x_14) we can infer exists x_14: Q_14(x_14) via existential disjunctive syllogism. From forall x_14: Q_14(x_14) -> T(x_14), exists x_14: Q_14(x_14) we can infer exists x_14: T(x_14) via existential modus ponens. Finally, from forall x_14: T(x_14) -> T_4(x_14), exists x_14: T(x_14) we can infer exists x_14: T_4(x_14) via existential modus ponens, which contradicts forall x_14: ~T_4(x_14). Therefore, the answer is no.