T.J. Holmes and Amy Robach Out at ABC, One Source Calls Exit 'Witch Hunt'

T.J. Holmes and Amy Robach are both out at ABC ... TMZ has learned.

Sources connected to the network tell us, after a marathon mediation session Thursday, ABC and the 2 'GMA3' anchors have severed ties, and both will receive payouts per their contracts.

We're told the mediation was "extremely contentious," with ABC reps accusing both Amy and T.J. of various forms of misconduct, which one source characterized as "a witch hunt."

We're told one of the accusations is that Amy had liquor in her dressing room, which the ABC folks said was a violation of policy. One source called the accusation "ridiculous," noting some of the bottles were sent from top ABC News execs. The source said those execs sent other on-air talent liquor as well, so this just looked like a way to justify getting rid of her.

We're told another accusation was that Amy went to the College Football National Championship game a year ago, and came to work the next day drunk. One source called that "insane," adding she was simply tired.

As for Amy and T.J., we're told it became clear in mediation they did not handle their romance appropriately ... waiting too long to disclose it to ABC execs. ABC also made it clear ... their "behavior on set" was "uncomfortable" for some ABC staff.

Our sources say the mediation will continue as both sides negotiate the fine points of Amy and T.J.'s exit.

It's a stunning change from what the network initially said when the relationship was made public -- stating the two had not broken any rules -- as they were essentially considered equals at the show in position.

It was December 2 when both T.J. and Amy were last together on "GMA3" desk. ABC honchos pulled them as they investigated whether the couple's relationship had violated company rules -- or if company resources had been used in keeping it a secret.

We don't yet know what the two will do career-wise moving forward ... but they certainly haven't slowed anything down in the relationship department, our sources say they've remained a united front throughout the entire ordeal.