Consider the following premises. exists x_6: ~S(x_6) or P(x_6). forall x_6: P_6(x_6) or Q_6(x_6). forall x_6: P_6(x_6) -> S(x_6). forall x_6: Q_6(x_6) -> S(x_6). Can we infer forall x_6: ~(Q_2(x_6) or P(x_6)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.