The game is set up so that the correct move sequence DOES NOT work unless the
player character discovers all the clues. It's not enough if you, the human
player, have cracked the secret of the cave maze prematurely or were given the
move sequence by someone else. You, the character of John Noronha in the game,
must come by the clues and a reason to interpret them in the intended way.
Because of this, you can really get screwed up if you read spoilers and
discover what the cave game solution is before your character rightfully should.
Anyway, if you're stuck on the cave game, note that you must take care of
the web site team first, progressing with them until you reach a point where
they are no longer present in the computer lab. Only after that point will
you be in a position to investigate the solution to Mr. Anand's game.