Consider the following premises. exists x_3: ~Q_4(x_3). forall x_3: P_3(x_3). forall x_3: P_3(x_3) -> Q_4(x_3). Can we infer forall x_3: ~Q_1(x_3) from them?
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.