The phrase "automatically eliminated from" is correct and usable in written English.
It can be used in contexts where someone or something is removed from a process or competition without manual intervention.
Example: "Due to not meeting the eligibility criteria, the applicant was automatically eliminated from the selection process."
Alternatives: "instantly disqualified from" or "removed from consideration for".
In the new version of Madden NFL 12, a player who gets a concussion is automatically eliminated from play.
It also checks for already covered concepts and consumed resources which are automatically eliminated from the learning sequence.
Contestants who finish Double Jeopardy! with $0 or a negative score are automatically eliminated from the game at that point and awarded the third place prize.
Retailers that were automatically eliminated from consideration: any site that asked users to register before allowing them to see its products and any site that couldn't complete a transaction 100% online in one sitting, i.e. without having to receive a confirmation e-mail to seal the deal.
These peaks that we called contamination peaks were automatically eliminated from spectra obtained from dental pulp of modern mammals for generate a local modern mammal database.
Only three participants were automatically eliminated from classification.
That way, if a lower-priced television meets your requirements, you haven't automatically eliminated it from consideration before you even start.
No correction for background activity was made, as this was automatically eliminated by subtraction of the baseline activity from the post-treatment activity, assuming that the background activity is equal in the baseline and post-treatment scan.
In modules 2 and 3, the interest's pixels and their neighbouring areas are masked so that vast amount of pixel intensity from each frame can be automatically eliminated.
Such candidates would be automatically eliminated and would have their preferences distributed between the remaining candidates.
Things made with margarine that are supposed to be made with butter were automatically eliminated.
