The Rutherford County Sheriff's Office tells TMZ ... on May 22, Vincent's wife, Diane, arrived to the Sheriff's Office "covered in blood" and reeking of alcohol.

Cops say 44-year-old Diane told the officers how she had just escaped from the couple's Tennessee home ... after Vincent "smacked her in the face" following an argument about a "female subject [Vincent] was talking to." She says Vincent then "grabbed her by the hair and threw her down to the ground."

Diane says Vincent then "dragged her through a pile of glass from a broken plate that had been on the floor since before the argument had started."

Diane told police she tried to get away -- but 58-year-old Vincent threw her to the ground 4 more times. She eventually escaped and drove herself to the station.

Cops dispatched officers to the home -- where they found Vincent and "four sealed containers containing deceased dogs."

Diane told the cops .... the dogs had been "killed by one of their aggressive dogs."

Vincent was eventually arrested and booked for aggravated domestic assault -- and his bond was set at $10,000.  TMZ obtained his mug shot, pictured above.

An animal service team was contacted to look into the dead dog situation.