Here is a post I made a while back regarding my Super200P's high frequency circuit design (turns out it was on another forum, but relevant to what we're discussing here):
http://weldingweb.com/showpost.php?p=342080&postcount=3
In summary, it's a "tesla coil" circuit.
As for the 250EXT, I would guess based on the picture in this thread, that it may use a similar "tesla coil" circuit as well. (Those two blue, cylindrical capacitors look just like the ones in my Super200P.) The EXT's spark gap conductors are dramatically different (possibly improved durability tungsten?) compared to the copper material spark gap found on nearly all other imported inverter machines with high frequency arc starting.
'13 Everlast 255EXT
'07 Everlast Super200P