Rxf7, Rxe7, Re6#
That's only white's moves. But the puzzle is a little awkward...I would just take the queen with my knight, maybe followed by taking the rook with my pawn and then promote the g-pawn.
Mmm...I guess I see another solution...Rxf7, g8=Q, Qe8#
I like the puzzle, it's fun:P
That works in many cases:
1. Rxf7 [2. Rxe7 ad lib 3. Re6#
2. g8=Q ad lib 3. Qe8#]
1. ... e6 2. Re7 ad lib 3. Rxe6#
1. ... e6 2. Rf6 ad lib 3. Rxe6#
1. ... e6 2. g8=Q ad lib 3. Qe8#
1. ... g5 2. Rxe7 ad lib 3. Re6#
1. ... g5 2. g8=Q ad lib 3. Qe8#
1. ... g5 2. g8=S ad lib 3. Sxe7#
1. ... b4 2. g8=Q ad lib 3. Qe8#
1. ... h4 2. Rxe7 ad lib 3. Re6#
1. ... h4 2. g8=Q ad lib 3. Qe8#
1. ... h4 2. g8=S ad lib 3. Sxe7#
1. ... Qxa5 2. Rxe7 ad lib 3. Re6#
1. ... Qxa5 2. g8=Q ad lib 3. Qe8#
1. ... Qb4 2. Rxe7 [3. Re6#]
2. ... Qxc5 3. Sd8#
1. ... Qb4 2. g8=Q ad lib 3. Qe8#
1. ... Qc4 2. Rxe7 [3. Re6#]
2. ... Qxc5 3. Sd8#
1. ... Qc4 2. g8=Q ad lib 3. Qe8#
1. ... Qa3 2. Rxe7 [3. Re6#]
2. ... Qxc5 3. Sd8#
1. ... Qa3 2. g8=Q ad lib 3. Qe8#
1. ... Qa2 2. Rxe7 ad lib 3. Re6#
1. ... Qa2 2. g8=Q ad lib 3. Qe8#
1. ... Qa1 2. Rxe7 ad lib 3. Re6#
1. ... Qa1 2. g8=Q ad lib 3. Qe8#
1. ... Qb3 2. Rxe7 ad lib 3. Re6#
1. ... Qb3 2. g8=Q ad lib 3. Qe8#
1. ... Qxc2 2. Rxe7 ad lib 3. Re6#
1. ... Qxc2 2. g8=Q ad lib 3. Qe8#
1. ... Rc4 2. Rxe7 [3. Re6#]
2. ... Bxc5 3. Sd8#
1. ... Rc4 2. g8=Q ad lib 3. Qe8#
1. ... Rb4 2. Rxe7 [3. Re6#]
2. ... Bxc5 3. Sd8#
1. ... Rb4 2. g8=Q ad lib 3. Qe8#
1. ... Re4 2. g8=Q ad lib 3. Qe8#
1. ... Rg4 2. Rxe7 [3. Re6#]
2. ... Bxc5 3. Sd8#
1. ... Rg4 2. g8=Q ad lib 3. Qe8#
1. ... Rh4 2. g8=S [3. Sxe7#]
2. ... Bxc5 3. Sd8#
1. ... Rxc3 2. g8=Q ad lib 3. Qe8#
1. ... Re3 2. g8=Q ad lib 3. Qe8#
1. ... Rg3 2. Rxe7 ad lib 3. Re6#
1. ... Rg3 2. g8=Q ad lib 3. Qe8#
1. ... Rg3 2. g8=S ad lib 3. Sxe7#
1. ... Rh3 2. Rxe7 ad lib 3. Re6#
1. ... Rh3 2. g8=Q ad lib 3. Qe8#
1. ... Rd2 2. Rxe7 ad lib 3. Re6#
1. ... Rd2 2. g8=Q ad lib 3. Qe8#
1. ... Rd1 2. Rxe7 ad lib 3. Re6#
1. ... Rd1 2. g8=Q ad lib 3. Qe8#
1. ... Bg1 2. Rxe7 ad lib 3. Re6#
1. ... Bg1 2. g8=Q ad lib 3. Qe8#
1. ... Bg1 2. g8=S ad lib 3. Sxe7#
1. ... Be1 2. Rxe7 ad lib 3. Re6#
1. ... Be1 2. g8=Q ad lib 3. Qe8#
1. ... Be3 2. Rxe7 ad lib 3. Re6#
1. ... Be3 2. g8=Q ad lib 3. Qe8#
1. ... Bg3 2. g8=Q ad lib 3. Qe8#
1. ... Bh4 2. g8=Q ad lib 3. Qe8#
But 1. ... Rf4! Rf3!
By the way, the software is German, S is Knight.
Ok, I'll give a clue. this puzzle by Edgard J Tchélébi, won Europe Échecs 1962, 1° Prize. However, it was later found that Black had an unintentional defense, and the pawn on c2 was added to make it work properly. Hope that helps...
Ok, I'm not going to put the solution. first person to solve all critical variations gets a trophy. How cool is that? Mate in 3