I found "be at odds" in some examples and in each example the proposition -which is used for it- is different:
They're at odds over the funding of the project.
Her version of events was at odds with the police report.
The liberal-left are at odds on Libya.
EPA, Eco groups at odds in climate change case.
A man's at odds to know his mind cause his mind is aught he has to know it with.
Does it make a difference which preposition comes after "at odds"?
Best Answer
There are a few expressions at work here:
In these examples:
The people involved are “at odds”, that is, in disagreement or conflict, with one another, and they're at odds over, on, in, or about some subject.
In this example, however:
The disagreement is between “her version of events” and “the police report”.
In this case, “be at odds to do” means the same as “be hard pressed to do”; basically, it's difficult.