unreconcilable
adjective
un·rec·on·cil·able
ˌən-ˌre-kən-ˈsī-lə-bəl
-ˈre-kən-ˌsī-
: impossible to reconcile : irreconcilable
Unfortunately, within the scientific community, there are two very divided, almost unreconcilable, camps.—Roy Attaway
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Merriam-Webster unabridged
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