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R12 S9 Occurrence-Quotient CPU Result

Decision: admit theory/representation only; no neural capability claim

R12_S9_OCCURRENCE_QUOTIENT_CPU_RESULT.mdOpen original Markdown ↗

R12 S9 Occurrence-Quotient CPU Result

Decision: admit theory/representation only; no neural capability claim

Seed: 792451398761220486

Rows: 2,048 closed S8.1 development sources

Report SHA-256: f77dce825314cc38b0630cd574b450284c00fc8afa23dc0ab39cfc5be8ef2c94

The oracle-emitted quotient reconstructs the exact graph, recurrent state, and answer on 2,048/2,048 sources. Independent class-ID and relation-storage permutations remain exact on 2,048/2,048. Swapping card witnesses leaves only 30/2,048 exact states; reversing links leaves 154/2,048. Splitting one repeated operation, merging entity classes, giving every occurrence a unique free word, corrupting a relation type, or swapping event argument slots causes strict rejection on all 2,048 rows.

All 13 CPU gates pass. This shows that class-level emitted relations are a lossless and causal interface to the retained S8 executor. It does not show that a neural model can find the spans or relations. The CPU run uses frozen board labels as oracle emissions and must not be reported as a reasoning score.