at loggerheads (with someone) (over something)
US /æt ˈlɑːɡərˌhɛdz/
UK /æt ˈlɑːɡərˌhɛdz/

1.
爭執不休, 意見不合
in dispute or disagreement
:
•
The two departments have been at loggerheads over budget allocations for months.
這兩個部門已經為預算分配問題爭執不休好幾個月了。
•
The neighbors are constantly at loggerheads over the property line.
鄰居們經常為地界問題爭吵不休。