This says more about you than the "intellect" of these nondeterministic probability programs.

Can you provide actual context to what was beyond your ability and how you're able to determine if the solution was correct?

Finding out that all these comments that reference the "magical incantation" tend to be full of hot air. Maybe yours is different.

> how you're able to determine if the solution was correct

I had hundreds of unit tests that did not trigger an assertion I added for idempotency. Claude wrote one that triggered an assertion failure. Simple as that. A counterexample suffices.