Consider the following premises. forall x_8: P_8(x_8) -> ~Q_8(x_8). exists x_8: ~T(x_8) or R(x_8). forall x_8: Q_8(x_8). forall x_8: P_8(x_8) or T(x_8). Can we infer forall x_8: ~(Q_1(x_8) or R(x_8)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.