trureturingGitHub MATHEMATICAL ATLAS

Certificates / CONCEPT

Version B faithful classification refuted

The threshold classification with three parity cases fails in both directions at twelve piles in normal-play Version B.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Exactly six allowed counts at twelve piles

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Version B twelve-pile refutationVersion B twelve-pilerefutationVersion B faithful classification refutedVersion B faithfulclassification refuted
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Certified topology / DOWNSTREAM

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S0
Domain
Certificates
Node ID
D5/S0/Certificates/Games/VersionBFaithfulClassification
Repository path
D5/S0/Certificates/Games/VersionBFaithfulClassification.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.