To be physically or mentally (or both) impaired due to excessive substance (alcohol or any other drug) intake. Derived from the commonly used British expression "To be off one's trolly."
"I went to the publast night with the intention of having only one pint, but I ended up getting completely trollied and made a fool of myself."
"Look at that drunken lunatic. He's completely off his trolly....I mean....utterly trollied."
The state one reaches when one has consumed an excessive amount of horse tranquiliser and is unable to do anything aside from paddling in circles in an ibiza villa pool. Super-trollied can only occur in an ibiza vila pool. Similar states reached in other locations are termed super-mashed.