Consider the following premises. exists x_11: P_7(x_11) <-> R_4(x_11). forall x_11: ~P_7(x_11). forall x_11: P_11(x_11). forall x_11: P_11(x_11) -> R_4(x_11). Can we infer forall x_11: ~Q(x_11) from them?
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.