Consider the following premises. t_3 -> P_3(a_17). S_17(a_17) -> p. forall x_17: P_3(x_17) -> S_17(x_17). p -> t_3. Can we infer ~(P_3(a_17) -> S_17(a_17)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.