Consider the following premises. forall x_3: W(x_3) <-> Q_3(x_3). exists x_3: R(x_3) -> W(x_3). Can we infer forall x_3: ~(R(x_3) -> Q_3(x_3)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.