Context
The research record preserves failed approaches when they expose a model boundary, an invalid transfer, or an unsupported strengthening.
Proof or evidence
the fixed seven Strassen products and fixed (7/18) arithmetic counts admit different depth/storage points. Rank alone does not select a schedule or association.
Verification notes
The failure status and preserved lesson are recorded in the cumulative failure ledger.
Limitations
- tensor data may suffice for multiplication-count transfer, but an executable linear DAG or resource envelope is needed for simultaneous depth/storage accounting.