Consider the following premises. forall x_15: P_15(x_15) or Q_15(x_15). forall x_15: P(x_15) or ~W(x_15). forall x_15: W(x_15). exists x_15: P_15(x_15) -> T(x_15). forall x_15: Q_15(x_15) -> T(x_15). Can we infer forall x_15: P_15(x_15) or Q_15(x_15) from them?
That is one of the premises. Therefore, the answer is yes.