Consider the following premises. forall x_18: S(x_18). exists x_18: ~Q_18(x_18). forall x_18: P_18(x_18) <-> S(x_18). forall x_18: P_18(x_18) <-> Q_18(x_18). Can we infer forall x_18: ~Q_3(x_18) from them?
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.