Consider the following premises. forall y_2: S_2(y_2) or P_3(y_2). forall y_2: T(y_2). exists y_2: ~S_2(y_2). Can we infer forall y_2: S_2(y_2) or P_3(y_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.