Consider the following premises. q_6 -> R_10(a_10). R_10(a_10) -> q_6. S_10(a_10) -> q_6. forall x_10: R_10(x_10) or S_10(x_10). Can we infer ~q_6 from them?
 From forall x_10: R_10(x_10) or S_10(x_10) we can infer R_10(a_10) or S_10(a_10). From R_10(a_10) -> q_6, q_6 -> R_10(a_10) we can infer R_10(a_10) <-> q_6. From R_10(a_10) <-> q_6 we can infer R_10(a_10) -> q_6. Finally, from R_10(a_10) -> q_6, S_10(a_10) -> q_6, R_10(a_10) or S_10(a_10) we can infer q_6, which contradicts ~q_6. Therefore, the answer is no.