This is the 13736th most frequent Russian word.
несостоятельности
"Несостоятельности" in English means "insolvency" or "inability" depending on the context.
In this sentence, 'несостоятельным' refers to the lack of validity or support for the statement.
Её заявление о помощи оказалось несостоятельным.
Her claim for assistance turned out to be groundless.
Here, 'несостоятельным' is used in the legal financial context indicating insolvency.
Суд признал банк несостоятельным.
The court declared the bank insolvent.
This use of 'несостоятельность' signifies a deficiency in logical or factual reliability of the presented arguments.