Consider the following premises. forall x_12: Q_12(x_12) -> T(x_12). ~Q_12(a_11). ~T(a_11) -> w. forall x_12: T(x_12) -> Q_12(x_12). Can we infer p_4 from them? If possible, name the inference rules being used at each step.
We cannot infer that from the premises. Therefore the answer is no.