This is a Domino Divide puzzle. This was US Team practice for the 2016 WPC.
From WPC Instruction Booklet: Divide the grid along the given lines into dominoes. Each domino is formed by two orthogonally adjacent cells. When there is a cross [x] between two dominoes, they must have different orientation. When there is a dot [o] between two dominoes, they must have the same orientation. Symbols cannot lie inside of a domino.