Ouroboros's Evolution

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Unlike the rest of his demons, Ouroboros didn't actively train to grow stronger. There was no need to, because Ouroboros's rare bloodline carried out all the strengthening that he needed. The only thing Ouroboros needed to do was fuel his bloodline's power by devouring and falling into a dormant state that allowed its increased activity.

Therefore, by just devouring and sleeping afterward, Ouroboros grew stronger at a rate that matched or even eclipsed his peers―which were Apollo's strengthened demons. 

Additionally, growing stronger meant that the byproduct of his absorption―the Fragments of Sin―grew both stronger and purer. As long as he experienced a sizable jump in power, it wasn't far-fetched to say that Ouroboros could produce the next level of Sin Materia.