Sheen bought the $4.8 million home for Mueller after they split so she and the twins could live close to the "Anger Management" star.
Sheen wants her not only to move out of the home, but to move far away, a source whose name was reported told TMZ.
The report said Sheen told a friend he'd sell the house for a dollar just to get Mueller out of his neighborhood.
The source said Mueller's brother, Scott, who lives in the home as the twins' temporary guardian, wasn't notified of any move-out order.
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