Consider the following premises. forall x_5: ~P_3(x_5). forall x_5: P_3(x_5) <-> T(x_5). forall x_5: T(x_5). Can we infer exists x_5: ~Q_5(x_5) from them? If possible, name the inference rules being used at each step.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.