Consider the following premises. forall x: ~U(x) or S_2(x). forall x: T(x) -> R_4(x). forall x: U(x) or T(x). exists x: S_2(x) -> W_3(x). forall x: R_4(x) -> W_3(x). Can we infer exists x: S_2(x) -> W_3(x) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.