Consider the following premises. exists x_8: P_8(x_8) or Q_3(x_8). forall x_8: T_4(x_8) or ~Q_3(x_8). forall x_8: ~P_8(x_8). Can we infer forall x_8: ~T_4(x_8) from them? If possible, name the inference rules being used at each step.
 From exists x_8: P_8(x_8) or Q_3(x_8), forall x_8: ~P_8(x_8) we can infer exists x_8: Q_3(x_8) via existential disjunctive syllogism. From forall x_8: T_4(x_8) or ~Q_3(x_8) we can infer forall x_8: Q_3(x_8) -> T_4(x_8) via universal rewriting. Finally, from forall x_8: Q_3(x_8) -> T_4(x_8), exists x_8: Q_3(x_8) we can infer exists x_8: T_4(x_8) via existential modus ponens, which contradicts forall x_8: ~T_4(x_8). Therefore, the answer is no.