Consider the following premises. R(h_2) or q_6. forall x_4: R(x_4) -> S_4(x_4). q_6 -> S_4(h_2). Can we infer ~S_4(h_2) from them? If possible, name the inference rules being used at each step.
 From forall x_4: R(x_4) -> S_4(x_4) we can infer R(h_2) -> S_4(h_2) via universal instantiation. Finally, from R(h_2) -> S_4(h_2), q_6 -> S_4(h_2), R(h_2) or q_6 we can infer S_4(h_2) via disjunction elimination, which contradicts ~S_4(h_2). Therefore, the answer is no.