OpenAI reports a P-time query outside choiceless counting

An explicit isomorphism-invariant query on all finite structures in one fixed vocabulary of eight relations is decidable in deterministic polynomial time but is not definable in choiceless polynomial time with counting.

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Understanding the problem

Read the background

An explicit isomorphism-invariant query on all finite structures in one fixed vocabulary of eight relations is decidable in deterministic polynomial time but is not definable in choiceless polynomial time with counting.

Why it matters

If correct, resolves the noncapture conjecture for the full choiceless counting formalism.

What counts as progress

Does choiceless polynomial time with counting capture all polynomial-time queries?

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