Consider the following premises. q. forall x_14: ~Q_14(x_14). forall x_14: P_14(x_14) -> Q_14(x_14). forall x_14: P_14(x_14) or U(x_14). Can we infer ~q from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.