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untenable
01
(of a position, argument, theory, etc.) not capable of being supported, defended, or justified when receiving criticism or objection
Example
The politician's stance was untenable after the facts were revealed.
His claim was untenable once counterarguments were presented.
The researcher's theory was labeled untenable by the scientific community.
The idea proved untenable when subjected to further scrutiny.
The theory was considered untenable once new evidence emerged.