Read /workspace/maths/notes/supergrok-2026-08-17/house.md and follow it.

Your folder: /workspace/maths/problems/caccetta-haggkvist-k3 Your problem: P36, Caccetta–Häggkvist for directed triangles.

Read PROBLEM.md, notes/lists/2026-08-16-proposed-50.md P36, notes/picks/2026-08-16-judge-codex.md P36, refs/walkthrough-style.md.

Goal: a certified small-order obstruction, an improved numerical out-degree threshold with an independently checkable certificate, or a documented residue. Isolated random-graph statistics are not a dent.

Start by fetching the AIM summary and the current published threshold.

Work until you have a verified dent or a documented residue. Write ATTACK.md as you go. Finish with WALKTHROUGH.md and RESEARCH.md.