at variance
US /æt ˈver.i.əns/
UK /æt ˈver.i.əns/

1.
в противоречии, в разногласии
in conflict or disagreement
:
•
His statements were at variance with the facts.
Его заявления были в противоречии с фактами.
•
The two theories are at variance with each other.
Две теории противоречат друг другу.