Consider the following premises. forall x_10: ~R_10(x_10). q_4 <-> R_10(a_10). Can we infer ~q_4 from them?
 From forall x_10: ~R_10(x_10) we can infer ~R_10(a_10). From q_4 <-> R_10(a_10) we can infer q_4 -> R_10(a_10). Finally, from q_4 -> R_10(a_10), ~R_10(a_10) we can infer ~q_4. Therefore, the answer is yes.