So if I understand this story correctly, you weren't witholding blocks deliberately you had faulty hardware.
BTCGuild (eleuthria) informed you of this after he noticed what was happening and your hardware was then fixed to work properly
The btc that eligius is witholding is from the period before btcguild when your hardware was faulty.
If this is the case I think he's correct, your hardware would never have solved a block and therefore isn't eligble for pooled rewards.
I have solved my issue at the beginning of the May, then we move to eligius for test, After we see block found by them, we move back to BTCguild.
You can see my block which was mined after May 1st on their list.
Is it clear?
Okay, so maybe a very stupid question. I am a small miner with some few TH/s. My miners are controlled through my desktop PC. There I have my wallet, and from my wallet, I transfer the BTC to a more secure offline wallet.
Does it work similar when you have a 100+ TH/s operation? How does the setting look like?
We do nearly the same thing.
But does this have anything related with this unpaid issue?
Yes, it does. So the more details you can tell me, the more likely it is that a solution can be found.
What else can I offer?
If your setting is similar, I assume - and please correct me if I'm wrong - that the situation looks as follows:
a) You have a PC on which your wallet(s) is located
b) You switched your miners on and pointed them to BTCGuild
c) You realized that your software wasn't mining correctly
d) You fixed your software
e) You pointed your hardware to Eligius for the first time
So this would lead to the conclusion that you were not pointing your miners to Eligius before a), right?
And: Is the above summary about correct?
And finally: How long before you started to mine with BTCGuild have you used this PC?