She finally found a solution to a problem that had 'defeated' many other researchers.
She felt very/utterly 'defeated' when she found out she didn't get the job.
Our candidate 'defeated' him in the last election.
(..) Lightning has struck. I repeat: Lightning has struck. What's the fun, Harry? Okay. There's something we need to find. Something hidden here, in the castle. And it may help us to defeat You-Know-Who. - Alright, what is it? - We don't know. - Where is it? - We don't know that either. (..)2011 Harry Potter and the Deathly Hallows: Part 2