I gaurantee this is unsolvable

There are many difficult puzzles out there. Thankfully no one has been able to solve the ulamite puzzle!

Oh, it's solvable. It just hasn't been solved.

6 pieces or pawns endgame is a solved problem. experts say that the 7 pieces/pawns endgame will be solve by the end of 2015.

the 32 pieces/pawns endgame is another story. I'm quite sure that i will not see the solution. 

You start by 1.e4! The rest is just variations.

Solution: agree draw and shake hands.

there is a lot of fun stuff with solvability / game proof...

here, you will find a lot of resources about Proof Game / retrograde analysis http://www.janko.at/Retros/index.htm 

Do we know if White win in a game of perfect chess ? or is the game a forced draw ?

We believe the result with perfect play is a draw, but theoretically the perfect game could be any of the three possible results (white could be in zugzwang on move 1!)

start wid Nf3