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