Bulldog Endgame Theory

Well this is an interesting one. I know K+N+N vs K+P is often a win. I think it would be a draw, because white always was to act with checks. What I mean by that is that while with a pawn, white can block the pawn, with a witch you can't. So I believe it is drawn.

No, because the Witch can't take pieces. The king is never under threat.

Here's the basic idea...

white to move, mate in two...

Right, this is mate. But like I stated before, it's impossible to actually get here if black plays well. White can't force the king to the corner.

I'm not actually sure. The witch might actually come to black's rescue here, because white cannot put black in zugzwang. 

If it's K+N+N vs K, then the knights can force the black king into the corner, they just can't force checkmate, they will stalemate the king trying.

In this case, we maybe shouldn't even think of the witch as a piece. Instead, it's a free tempo that stops white from being able to push the king back.

I think it's winning. 

Ok then panda...

1. Kg2

Yeah, it might well be. The theory of it is saying that it should be drawn but I haven't looked at anything concrete

This may sound bizarre, but I believe two bishops vs a guard is a win for the bishops. 

Hmm there is perhaps one resource that black has... he can use his witch to block a knight, since I cannot capture (unless it's a checkmating move of course). I think white is winning by force here if black centralises his king and then wastes moves with his witch when not in check, but if black uses the witch to deny my knight good squares, that might be enough to draw. 

No chance.

The bishops have the ability to separate the king and guard by putting them on cross-hairs. I don't know if they can also push the guard back so the king can invade.

That actually sounds feasible. I'm not sure if it is or not though. Do you have lines or anything?

Assuming the guard is already close to the king, I can't see how the bishops can forcefully separate them. Once the guard is blocking checks, it's easy for black to hold.

I think, anyway.

In this position, they must separate at least  temporarily. 

Black to move ^^

I don't see a win after Kc6.

If it's white to move there, it's clearly winning for white with Bf2. I can certainly see how black can blunder it. 

As for black to move...

Gd3 I guess

Nobody can see a win after Kc6, we would need an engine for that. 

I'll revise my statement: White has a better chance to win with Two Bishops vs Guard than Queen vs Guard.