If you take a chess playing robot as the peak of the pyramid, there are probably millions of people and trillions of dollars toiling away to support it. Imagine all the power lines, sewage, HVAC systems, etc that humans crawl around in to keep working.
And really, are we "beaten" at chess, or are we now "unbeatable" at chess. If an alien warship came and said "we will destroy earth if you lose at chess", wouldn't we throw our algorithms at it? I say we're now unbeatable at chess.