Consider the following premises. forall x_19: Q_19(x_19) or Q(x_19). forall x_19: P_19(x_19) <-> Q_19(x_19). forall x_19: S(x_19) and P(x_19). exists x_19: ~P_19(x_19). Can we infer forall x_19: ~(Q(x_19) and S(x_19)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.