Consider the following premises. forall x_16: R_16(x_16) -> R_4(x_16). forall x_16: Q_16(x_16) <-> R_4(x_16). forall x_16: P_16(x_16) or Q_16(x_16). exists x_16: ~P_16(x_16) or R_16(x_16). Can we infer forall x_16: ~(R_4(x_16) or Q(x_16)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.