1
general::
Phrase(s): come to nothing [and] come to naught
to amount to nothing; to be worthless. • So all my hard work comes to nothing. • Yes, the whole project comes to naught.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
Also, come to naught. Fail, as in All his efforts have come to nothing, or The last round of peace talks came to naught. The first term dates from the mid-1500s, the variant from the early 1600s.
American Heritage Idioms