Consider the following premises. t_3 -> S_10(a_10). forall x_10: R_10(x_10) -> S_10(x_10). t_3 or t_2. t_2 -> R_10(a_10). Can we infer ~S_10(a_10) from them? If possible, name the inference rules being used at each step.
 From forall x_10: R_10(x_10) -> S_10(x_10) we can infer R_10(a_10) -> S_10(a_10) via universal instantiation. From t_2 -> R_10(a_10), R_10(a_10) -> S_10(a_10) we can infer t_2 -> S_10(a_10) via transitivity. Finally, from t_3 -> S_10(a_10), t_2 -> S_10(a_10), t_3 or t_2 we can infer S_10(a_10) via disjunction elimination, which contradicts ~S_10(a_10). Therefore, the answer is no.