ADJECTIVE (2)

1. not eligible;
- Example: "ineligible to vote"
- Example: "ineligible for retirement benefits"

2. prohibited by official rules;
- Example: "an ineligible pass receiver"

The Collaborative International Dictionary of English v.0.48:

Ineligible \In*el"i*gi*ble\, a. [Pref. in- not + eligible: cf.
   F. in['e]ligible.]
   Not eligible; not qualified to be chosen (for an office,
   post, position); not worthy to be chosen or preferred; not
   expedient or desirable. --Burke.
   [1913 Webster]