If we have decided to go for rephrasing then I would suggest something simple on the eyes and on the English language (many users have trouble with confusing English) and not something that is trying to be as short as possible.
Have the highest scoring non-accepted answer which scores at least twice as much as the accepted answer. The accepted answer's score must be at least 10.
However, Regardless of the way you write the description, I think it is fundamentally a badge with more than a few pitfalls. I won't discuss them to much here, there are entire posts devoted to modifying the badge parameters, however - I think a much simpler explanation of the badge (which is not exactly following the formula, but makes it simpler to understand:
Have a non-accepted answer that scores at least 20 and twice as much as the accepted answer.
I know this makes it seem like it is changing the definition, but really - it is not, if I must be simultaneously both double the score of the accepted answer, and at least 20, then the accepted answer must be at least 10.. satisfying all conditions, and making the wording easier.
I have recently found this list of the full descriptions of badges where it is written about the Populist badge:
- gold; awarded multiple times
- Provide an answer that meets all of the following criteria (source):
- it is the highest scoring answer on the question (source)
- it does not have the accepted checkmark
- it has a score of at least 23
- it has more than double the score of the accepted answer
- the accepted answer has a score of at least 11
- it is not an answer to your own question (source)
Following these rules, I would re-word my "simple" idea to the following:
Answer another users question with the highest scoring non-accepted answer that scores at least 23 and is scored at least twice as much as the accepted answer.