More whats.

Well, after the chaos of the previous visit's events, I decided to chance another trip to the H > P club. And sure enough, the management had the players running rings round them so fast they were like Saturn. In an ingenious twist of plot writing, the players had formed cliques with other players who preferred certain openings, and even the bouncers of the management took part in the squabble. I found out the following:

0. An individual may be in any number of cliques, and be a bouncer or a player, it matters not which for the below conditions.
1. All the bouncers alone formed the clique of the Sicilian O'Kelly. "And we are all good chessplayers who know better!" they rallied.
2. All the players alone vehemently insisted the Benko Gambit was better. "And we are all poor chessplayers!" they yelled somewhat ironically.
3. Each individual had a favourite opponent, and an opponent he most despised (not the same person; they're not that insane.)
4. Given any clique, all individuals whose favourite sparring partner/opponent/punchbag was on the clique, formed their own clique.
5. Ditto of 4, just replace "favourite" with "most despised".
6. Given any 2 cliques, there was at least one individual (let's call him Sad) whose favourite opponent thought Sad was on one clique, and whose most depised opponent thought Sad was on the other clique.

Well, this wouldn't do. Amidst the rat-tat-tat of Alekhine's Gun and the table-turning (sacrifices) that formed part of a huge brawl, I talked to the manager (wisely taking no part in this, hiding under a hedgehog.)

Me: "Are all your bouncers sane?!"
Manager: "Yes, at least they're supposed to be! What the heck is going on!"
Me: "Interesting! Do you know, there's at least one person who deserves to be thrown out of this establishment?"
Manager: "You think!?!!"


The Frighteningly Mad Professor Edalpo: Well, this is a rather queer parable. But indeed, the narrator was absolutely right; can you prove that there was some individual who shouldn't be there in that stead? Remember, all bouncers are supposed to be sane, while any poor chessplayers should not be allowed in.