Consider the following premises. exists x_7: Q_7(x_7) -> R_2(x_7). forall x_7: U_3(x_7) -> R_2(x_7). forall x_7: R_2(x_7) -> Q_7(x_7). Can we infer forall x_7: ~(U_3(x_7) -> Q_7(x_7)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.