Consider the following premises. forall x_18: Q_15(x_18). exists x_18: Q_18(x_18) -> Q_2(x_18). forall x_18: P_18(x_18). forall x_18: T(x_18). forall x_18: P_18(x_18) -> ~Q_15(x_18). Can we infer forall x_18: ~(T(x_18) and Q_2(x_18)) 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.