At Loggerheads (with sb.) （和某人）不和，（和某人）势不两立
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P：Never will I sign that paper. Never will the United States ever surrender!
L：Well, well, we’re at loggerheads then, aren’t we?
And I suppose the threat of death to someone with your valorous war record would mean nothing.
So, if you still refuse to sign this surrender... we’ll start by shooting your man, Gordon.
G：May I make one request?
That she aim at my heart—my heart, which has loved this country so much.