Consider the following premises. forall x_11: ~Q_5(x_11) or T(x_11). forall x_11: P_11(x_11) and Q_11(x_11). forall x_11: ~W(x_11) or R(x_11). forall x_11: P_11(x_11) -> Q_5(x_11). Can we infer forall x_11: T(x_11) or R(x_11) from them? If possible, name the inference rules being used at each step.
 From forall x_11: P_11(x_11) and Q_11(x_11) we can infer forall x_11: P_11(x_11) via universal simplification. From forall x_11: P_11(x_11) -> Q_5(x_11), forall x_11: P_11(x_11) we can infer forall x_11: Q_5(x_11) via universal modus ponens. From forall x_11: Q_5(x_11) we can infer forall x_11: Q_5(x_11) or W(x_11) via universal addition. From forall x_11: Q_5(x_11) or W(x_11), forall x_11: ~Q_5(x_11) or T(x_11) we can infer forall x_11: W(x_11) or T(x_11) via universal resolution. Finally, from forall x_11: W(x_11) or T(x_11), forall x_11: ~W(x_11) or R(x_11) we can infer forall x_11: T(x_11) or R(x_11) via universal resolution. Therefore, the answer is yes.