Consider the following premises. forall x_10: Q_10(x_10) -> T(x_10). Q_10(a_5) -> T(a_5). forall x_10: T(x_10) -> Q_10(x_10). Can we infer ~(T(a_5) <-> Q_10(a_5)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.