Consider the following premises. forall x_7: P_7(x_7) or Q_7(x_7). forall x_7: Q_7(x_7) -> R_7(x_7). forall x_7: S_1(x_7). forall x_7: P_7(x_7) -> R_7(x_7). Can we infer ~S_1(h_4) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.