Step 1:
Drop all tables with "Aitoc_" prefix
DROP TABLE Aitoc_TableName;
Step 2:
Delete/Rename/Move files from app/code/local/Aitoc/*
Delete/Rename/Move directory app/code/local/Aitoc
Step 3:
After doing steps above, I got this error:
Warning: Varien_Autoload::include(Aitoc/Aitsys/Model/Init/Processor.php) [varien-autoload.include]: failed to open stream: No such file or directory in /home/devel/www/lib/Varien/Autoload.php on line 93
Warning: Varien_Autoload::include() [function.include]: Failed opening 'Aitoc/Aitsys/Model/Init/Processor.php' for inclusion (include_path='/home/devel/www/app/code/local:/home/devel/www/app/code/community:/home/devel/www/app/code/core:/home/devel/www/lib:.:/usr/share/php:/usr/share/pear') in /home/devel/www/lib/Varien/Autoload.php on line 93
Fatal error: Class 'Aitoc_Aitsys_Model_Init_Processor' not found in /home/devel/www/app/code/local/Mage/Core/Model/App.php on line 6
At first, I didn't noticed a little detail:
/home/devel/www/app/code/LOCAL/Mage/Core/Model/App.php on line 6
That Aitoc, insolently overwrites Core_Model_App.
So the most important step, for me, is to REMOVE IT, with no mercy.