OpenAI reports failure of polynomial ordered binary matrix removal

One explicit 66×66 binary pattern has no polynomial ordered matrix-removal bound: for every c,C>0 there are binary matrices far from avoiding it but with fewer than c ε^C n^132 induced ordered copies.

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Understanding the problem

Read the background

One explicit 66×66 binary pattern has no polynomial ordered matrix-removal bound: for every c,C>0 there are binary matrices far from avoiding it but with fewer than c ε^C n^132 induced ordered copies.

Why it matters

If correct, disproves the polynomial ordered binary matrix-removal conjecture with a fixed pattern.

What counts as progress

Does every fixed ordered binary pattern admit a polynomial matrix-removal bound?

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