Sanborn wants the money for medical reasons so he needs to maintain a high sale price.
The two fans want to share the solution with the world.
Presumably the winner of the auction will be buying a severely depreciating asset: the right to know but not disclose the solution. There are at least four people who have the solution and as soon as one of them shares it, its value goes to zero.
Maybe the “solution” to this meta problem is simple: auction it off to the public with a go fund me. As soon as it reaches $500k, publish the solution. That way everyone wins.
The whole thing got more complicated with the addition of lawyers, not less. I don’t see how the two fans violated any contracts with the artist or auction house since they never signed one. But of course lawyers will charge a ton for you to find out.
The lesson to draw from Gaza is that if you become inconvenient to "the people in power" tomorrow, you would meet the exact same fate.