Consider the following premises. forall x_7: S_2(x_7) or ~Q_4(x_7). forall x_7: Q_4(x_7) -> U_2(x_7). forall x_7: S_2(x_7) -> Q_4(x_7). forall x_7: ~U_2(x_7). Can we infer forall x_7: Q_4(x_7) -> U_2(x_7) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.