Consider the following premises. exists x_4: ~W(x_4) or T(x_4). forall x_4: T(x_4) -> U(x_4). forall x_4: W(x_4) or P_3(x_4). forall x_4: U(x_4) or ~P_3(x_4). Can we infer forall x_4: T(x_4) -> U(x_4) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.