As far as I can see the kingdom is cellar, workshop, woodcutter, smithy, remodel, market, moat, village, militia, mine.
That's the first edition "first game" recommended kingdom, which sort of makes sense seeing how they're playing.
Furthermore, why are there seven boxes of Dominion on the table if they're only playing base? I'm not entirely sure but I think, in the background, the red one is adventures, orange is alchemy + cornucopia, blue is seaside, yellow ones are prosperity and empires, and the gray ones are base and intrigue. That's what I can find on amazon.de at least. But then why is there also a base set on the other end of the table?
Also they forgot to add curses to the supply.
And I can't find a single moment where there's anything on the trash mat. Wait, shouldn't they have a trash pile card if it's first edition? They ARE using the first edition treasures and victory cards.