R12 S3 Equivariant Local Action Result

Decision: reject_s3_equivariant_v1_1_for_confirmation

The equivariant input contract repairs the coordinate-frame failure of S3 v1 and makes two-step execution almost exact. It does not make the learned local action stable under long-context operation transport, so the frozen depth gates fail and confirmation remains unauthorized.

Custody

Source/prereg commit b6dc983 preceded fit and every v1.1 score.
Job 693131 completed once on H100 evc25 in 5m33s, exit 0:0.
Training used the unchanged 96,000 public rows / 192,000 independent atomic targets / 1,517 updates / one epoch / seed 2026071903.
The 710,411-parameter executor kept the full system at 134,399,961 parameters and recorded zero confirmation access.
Training took 71.18 seconds. Final executor-state SHA-256 is 15f640d7482de592ed8394335c8e755c61ac9917cc916e680a83946ead93ace2.
Assessment SHA-256 is 3c9ed4f0891f7afbe2f8f2fc64c2685d8ed6b2073942fca798067be15c4d2fb2.
The local checkpoint mirror is SHA-256 39e77e4355b31314de1be5c8349d029c8d25027f29f4607da2b98672683e9830; it remains ignored and is not committed.

Results

Evaluation	Answers	Exact state	All transitions	Entity match
Two-step mean	99.463%	99.854%	99.854%	99.927%
Two-step ordered	99.512%	100.000%	100.000%	100.000%
Two-step gold	99.512%	100.000%	100.000%	100.000%
Lexical-OOD mean	74.512%	72.705%	63.086%	85.522%
Depth 3--8 mean	84.180%	80.713%	60.059%	86.051%
Depth 3--8 ordered	86.719%	84.473%	66.211%	89.331%
Depth 3--8 gold	87.109%	84.912%	66.895%	89.829%

Depth-eight mean answers are 82.941%, but exact state is 78.235% and complete transition chains are 47.353%. Gold identity changes those depth-eight values only to 82.647%, 78.824%, and 50.882%. The two-step gates and the depth-eight answer floor pass. The frozen mean-state, mean-chain, ordered/gold ceiling, and ten-point attribution gates fail.

Relative to S3 v1, this is a large architectural recovery: long mean answers rise 53.906% -> 84.180%, exact state 41.260% -> 80.713%, and complete chains 17.627% -> 60.059%. Relative to the continuous RGDE public-board comparator, mean answers fall 1.465 points below its 85.645% rebound rather than exceeding it by the required ten points. The result is therefore evidence for local equivariance, not a promoted executor.

Mechanistic diagnosis

The exact S3 state no longer drifts, and the cell can execute the public two-step distribution. The remaining transition inputs are still continuous: kind_context, soft kind probabilities, and a literal embedding. The separate amount head is 100% accurate at depth, while the same learned local action misclassifies transitions. Gold identity does not repair the gap. This localizes the remaining failure to action transport: continuous encodings of the same finite (direction, amount) action move under long-context surfaces, and the MLP uses nuisance variation that the discrete amount classifier has already discarded.

The next bounded arm may therefore replace only the learned transition MLP with a closed S3 action table driven by model-predicted categorical direction and amount. It must retain the frozen language compiler, query consumer, source deletion, register, boards, and favorable identity ceilings. That arm tests closure by construction; it is an internal neural-symbolic execution component with an externally supplied schedule and halt, not autonomous reasoning.

No confirmation, free-form language reasoning, planning, learned halt, or novelty claim is authorized by v1.1.