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

1.
争执不休, 意见不合
in dispute or disagreement
:
•
The two departments have been at loggerheads over budget allocations for months.
这两个部门已经为预算分配问题争执不休好几个月了。
•
The neighbors are constantly at loggerheads over the property line.
邻居们经常为地界问题争吵不休。