Consider the following premises. forall x_8: P_6(x_8) or P_8(x_8). exists x_8: T_1(x_8) -> ~R_6(x_8). forall x_8: Q_8(x_8). forall x_8: P_8(x_8) -> ~Q_8(x_8). forall x_8: ~P_6(x_8) or R_6(x_8). Can we infer forall x_8: T_1(x_8) from them? If possible, name the inference rules being used at each step.
 From forall x_8: P_8(x_8) -> ~Q_8(x_8), forall x_8: Q_8(x_8) we can infer forall x_8: ~P_8(x_8) via universal modus tollens. From forall x_8: P_6(x_8) or P_8(x_8), forall x_8: ~P_6(x_8) or R_6(x_8) we can infer forall x_8: P_8(x_8) or R_6(x_8) via universal resolution. From forall x_8: P_8(x_8) or R_6(x_8), forall x_8: ~P_8(x_8) we can infer forall x_8: R_6(x_8) via universal disjunctive syllogism. Finally, from exists x_8: T_1(x_8) -> ~R_6(x_8), forall x_8: R_6(x_8) we can infer exists x_8: ~T_1(x_8) via existential modus tollens, which contradicts forall x_8: T_1(x_8). Therefore, the answer is no.