Consider the following premises. forall x_8: Q(x_8) -> Q_4(x_8). forall x_8: Q_4(x_8) -> T(x_8). forall x_8: Q_8(x_8) -> Q(x_8). forall x_8: T(x_8) -> Q_8(x_8). Can we infer ~(Q(a_2) -> T(a_2)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.