Consider the following premises. forall x_11: R_11(x_11) -> Q_7(x_11). forall x_11: R_11(x_11) or ~Q_7(x_11). exists x_11: Q_11(x_11) -> R_11(x_11). forall x_11: S_3(x_11) -> Q_11(x_11). Can we infer forall x_11: ~(S_3(x_11) -> Q_7(x_11)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.