Consider the following premises. forall x_7: P_7(x_7) -> S(x_7). exists x_7: S_3(x_7). forall x_7: P_7(x_7) and Q_7(x_7). Can we infer forall x_7: ~(S_3(x_7) and S(x_7)) from them?
That contradicts the premises. Therefore the answer is no.