Columbus Short -- Shoots VIDEO of Wife in VIOLENT FIGHT

Columbus Short shot this video to show his estranged wife was the violent one in this relationship ... and one thing's for sure -- she can be a real fighter.

Here's the back story ... Columbus was arrested for domestic violence for an incident at his house February 18 ... accused of beating his wife Tanee McCall (the woman on top in the video).

The next day -- after Columbus bailed out of jail -- he asked his friend Tilly Key to come to his house to pick him up. We're told Tanee went ballistic when she saw Tilly in the house, and that's when Tanee attacked.

Tilly wanted TMZ to post the video, to show Tanee is violent and even threatened her life.

Tilly says she suffered a concussion, a cervical sprain, multiple contusions, a lumbar sprain and lumbar strain.