Rodney Atkins Divorce -- It's UNSAFE to Live In the Same House

Rodney Atkins and his wife agree ... they don't think it's safe to continue living under the same roof ... this according to the divorce docs obtained by TMZ.

We broke the story ... the country superstar filed for divorce after he was arrested last month for allegedly attacking his wife Tammy in a drunken bender in his Tennessee home. Rodney claims the allegations are completely false.

Now, we've obtained the divorce documents, in which both Rodney and Tammy agree they are "unable to live together successfully as husband and wife."

Both Rodney and Tammy also state that the other is "guilty of such inappropriate marital conduct as renders further cohabitation unsafe and improper."

According to the docs, Tammy is demanding sole custody of the couple's 10-year-old child -- plus she wants alimony, child support and Rodney to pay for her legal fees.

Rodney is demanding joint custody -- and claims he's willing to pay child support -- but he wants Tammy to pay for HIS legal fees.