Consider the following premises. exists x_10: T_3(x_10) <-> R_10(x_10). forall x_10: T_3(x_10) -> P_10(x_10). forall x_10: Q_10(x_10) -> R_10(x_10). forall x_10: P_10(x_10) -> Q_10(x_10). Can we infer exists x_10: T_3(x_10) <-> R_10(x_10) from them?
That is one of the premises. Therefore, the answer is yes.