Consider the following premises. forall x_6: ~P_6(x_6) or R_5(x_6). forall x_6: P_6(x_6). ~Q_6(e). Can we infer ~R_5(e) from them? If possible, name the inference rules being used at each step.
 From forall x_6: P_6(x_6) we can infer forall x_6: P_6(x_6) or Q_6(x_6) via universal addition. From forall x_6: P_6(x_6) or Q_6(x_6), forall x_6: ~P_6(x_6) or R_5(x_6) we can infer forall x_6: Q_6(x_6) or R_5(x_6) via universal resolution. From forall x_6: Q_6(x_6) or R_5(x_6) we can infer Q_6(e) or R_5(e) via universal instantiation. Finally, from Q_6(e) or R_5(e), ~Q_6(e) we can infer R_5(e) via disjunctive syllogism, which contradicts ~R_5(e). Therefore, the answer is no.