Consider the following premises. forall x_2: T_3(x_2) or S_2(x_2). forall x_2: U(x_2) or ~T_3(x_2). forall x_2: S_2(x_2) -> U(x_2). Can we infer forall x_2: T_3(x_2) or S_2(x_2) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.