White to play and win in 119 moves

Can you solve it?

http://en.lichess.org/BXunxyD3gd1Z

34 moves here.

http://sr.lichess.org/BpHOvS5ZKpsh

[code][Event "Casual game"]
[Site "lichess.org/BpHOvS5Z"]
[Date "2015.06.12"]
[White "e4_guy"]
[Black "lichess AI level 8"]
[Result "1-0"]
[WhiteElo "1662"]
[BlackElo "?"]
[PlyCount "67"]
[Variant "From Position"]
[TimeControl "-"]
[ECO "?"]
[Opening "?"]
[FEN "2Bq1brk/p1pPp1p1/p1PpK1P1/5n2/8/2Rp4/p7/8 w - - 0 1"]
[SetUp "1"]
[Annotator "lichess.org"]

1. Rc1 d2 2. Rd1 Nh6 3. Ra1 a5 4. Rd1 a4 5. Ra1 a5 6. Rd1 d5 7. Ra1 d4 8. Rd1 d3 9. Ra1 a3 10. Rd1 a1=R 11. Rxa1 a4 12. Rd1 a2 13. Ra1 d1=R 14. Rxd1 a3 15. Ra1 d2 16. Rd1 a1=B 17. Rxa1 d1=R 18. Rxd1 a2 19. Ra1 Ng4 20. Rg1 Nh6 21. Rh1 a1=Q 22. Rxa1 Ng4 23. Rh1+ Nh6 24. Rg1 Nf5 25. Rg5 Nh6 26. Rg3 Nf5 27. Rg4 Nh6 28. Rg5 Qxd7+ 29. cxd7 c5 30. d8=Q c4 31. Qd4 c3 32. Qxc3 Ng4 33. Rh5+ Nh6 34. Rxh6# { Black is checkmated } 1-0[/code]

Stockfish plays not very well in such positions.

So show us those 119 moves :)

It is an absurd position. No way to get there. Not remotely interesting.

That is false. This position is reachable, in fact.
Black needs to be able to make ten pawn captures to reach this pawn structure, and white has just enough missing pieces. Other than that there's nothing weird that should cause it to be unreachable.

This is a chess composition. It has little to do with chess or chess ability, except strategic planning, perhaps, but that doesn't mean it's not interesting as a puzzle.

Also, it is pointless to try to play this against any engine. The lines are way beyond its depths. This requires strategic planning, not deep tactics.

#6 The online AI only searches so deep (as it's playing and analyzing many games at once). Any offline AI will search much deeper and put up a much stronger resistance.