Consider the following premises. forall x_9: ~P_9(x_9) or S_2(x_9). forall x_9: ~Q_9(x_9) or U_2(x_9). forall x_9: P_9(x_9) or Q_9(x_9). forall x_9: S_2(x_9) -> T(x_9). forall x_9: U_2(x_9) -> T(x_9). Can we infer forall x_9: P_9(x_9) or Q_9(x_9) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.