Consider the following premises. forall x_10: Q_10(x_10) -> R_10(x_10). forall x_10: R_10(x_10) -> R_5(x_10). forall x_10: R(x_10) <-> Q(x_10). exists x_10: R(x_10) -> Q_10(x_10). Can we infer forall x_10: ~(Q(x_10) -> R_5(x_10)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.