There is a new shop website using Joomla 2.5.8, joomshopping 3.13.2 artio joomsef 4.4.0 (free) and artio joomsef joomshopping extension (paid).
Without joomsef it is working fine. If we enable joomsef, it seems, the sef-links are completly random. So working with enabled joomsef is simply impossible.
Your job: configure joomsef and maybe .htaccess, to get it working.
Final, we need a short doc about your changes.