Consider the following premises. exists x_16: ~P_16(x_16) or U(x_16). forall x_16: S(x_16) or ~U(x_16). forall x_16: P(x_16) -> S(x_16). forall x_16: P_16(x_16) or P(x_16). Can we infer forall x_16: ~(S(x_16) or P_2(x_16)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.