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

1.
in contrasto, in disaccordo
in conflict or disagreement
:
•
His statements were at variance with the facts.
Le sue dichiarazioni erano in contrasto con i fatti.
•
The two theories are at variance with each other.
Le due teorie sono in contrasto tra loro.