Consider the following premises. exists x_13: R(x_13) -> Q_13(x_13). forall x_13: P_7(x_13) or ~P(x_13). forall x_13: P(x_13) <-> Q_13(x_13). Can we infer forall x_13: ~(R(x_13) -> P_7(x_13)) from them?
That contradicts the premises. Therefore the answer is no.