Consider the following premises. exists x_1: W(x_1) -> P_1(x_1). forall x_1: Q_1(x_1) -> R_1(x_1). forall x_1: P_1(x_1) -> Q_1(x_1). Can we infer forall x_1: ~(W(x_1) -> R_1(x_1)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.