EBS have large liquidity from the ECB. The ECB are no longer providing additional liquidity to some Irish banks due the lack of loans to repo.
If there is an agreement between the Irish government and the IMF/EC/UK then liquidity will be provided from IMF/EC/UK to the Irish government to EBS.
So, if there is an agreement, then 99%+ likely your deposit will be safe as fresh liquidity will be provided. The same cannot be said, in the seemingly unlikely event, that an agreement is not reached or if there is lengthy protraction.