Is it permissible for a woman who has been divorced three times to return to her first husband if her second husband claims he did not consummate their marriage?

Because the apparent evidence is with the woman, her statement is accepted, and she becomes lawful for her first husband unless he denies her, as he is suspected of denying intercourse out of a desire to prevent her from her first husband. Also, because intercourse usually occurs when a husband and wife are alone together, and his denial contradicts what is apparent. And because it is known only from the two of them, and she has admitted it.