What is the meaning of the word "ta'wil" (interpretation/exegesis) in the definition of "Al-Bughat" (rebels/insurgents) as combatants through "ta'wil," and what are some illustrative examples of this?

The meaning of تأويل (ta'wil) here is that the transgressors fought because they believed their fighting was legitimate, or recommended, or obligatory, due to their assumption that what they did was a legal proof, or due to a mistaken understanding of the legal texts, or due to applying them out of their proper context. This ta'wil grants them specific rulings that distinguish them from the rulings concerning fighting disbelievers.