uneligible

An evident indubitable knowledge of unavoidable punishment, great enough to make the transgression very uneligible, must accompany an innate law; unless with an innate law they can suppose an innate Gospel too.

Anderson was uneligible to play in his freshman year, because he hadn't made the required standardized-test score upon entrance, but by his junior year, he had succeeded academically and was the Illini's leading scorer and rebounder.