ineligible

from WordNet (r) 3.0 (2006)

ineligible
    adj 1: not eligible; "ineligible to vote"; "ineligible for
           retirement benefits" [ant: {eligible}]
    2: prohibited by official rules; "an ineligible pass receiver"

from 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]