Were at loggerheads - Idioms by The Free Dictionary
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be at loggerheads
To be in conflict. A "logger" is a 16th-century term for a block of wood, so a "loggerhead" is a blockhead or fool. They are at loggerheads over the best way to lead the committee.
References in periodicals archive
The rest of Big Head's pals couldn't decide who would win - they were at loggerheads
Last month, Koren and Di Matteo were at loggerheads
when the Slovenia reacted furiously to being substituted against Scunthorpe.