Consider the following premises. forall x_10: W_2(x_10) -> Q(x_10). forall x_10: ~P_10(x_10). forall x_10: P_10(x_10) <-> Q(x_10). exists x_10: Q(x_10) -> W_2(x_10). Can we infer forall x_10: ~P_10(x_10) from them?
That is one of the premises. Therefore, the answer is yes.