Consider the following premises. forall x_10: P_10(x_10) or Q_10(x_10). Q_10(a_8) -> ~w_4. w_4. forall x_10: ~P_10(x_10) or R_10(x_10). Can we infer Q_10(a_8) -> ~w_4 from them?
That is one of the premises. Therefore, the answer is yes.