Consider the following premises. forall x_12: P_5(x_12) -> P_12(x_12). forall x_12: P_12(x_12) <-> Q_12(x_12). forall x_12: R_1(x_12) <-> P_5(x_12). forall x_12: ~Q_12(x_12). exists x_12: W_1(x_12) <-> R_1(x_12). Can we infer forall x_12: R_1(x_12) <-> P_5(x_12) from them?
That is one of the premises. Therefore, the answer is yes.