Consider the following premises. forall x_13: P_3(x_13) and Q_3(x_13). exists x_13: P_13(x_13) or Q_13(x_13). forall x_13: Q_13(x_13) -> T(x_13). forall x_13: P_13(x_13) -> T(x_13). Can we infer forall x_13: ~(T(x_13) and P_3(x_13)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.