I passed by this page and spotted the critical point within 5 seconds. I was able to do that due to Bill's comment that "it is time for the players to wake up". Now tell this to a computer program: it won't be able to process this information. A human brain however, knows there is a move available on the board which decides the game and which is disproportional to the state the game is seemingly in. We know we have to look for a middle game kind of move in an end game kind of state. That rules out a lot of areas of the board and immediately draws our attention to the one place where cutting and connecting makes a big difference AND where the shapes are awkward enough to enable an unexpected cut or connection.

After the move has been selected, we can indeed verify that the move works. This part a computer can probably do better than a human. But the move selection based on "waky waky", you have to be a human to be that fast.