# R12 S3 Closure-Complete Local Action Preregistration

**Status:** closed after one zero-fit public run; gates failed and no
confirmation is authorized.

**Claim class:** bounded neural-symbolic repair on public source-deleted
execution development. External schedule and halt remain.

## Falsified interface

S3 v1.1 proves that categorical state plus a globally equivariant update input
can solve two-step composition, but long gold execution remains only 87.109%
answers / 84.912% exact state / 66.895% complete chains. At the same time its
separate amount head is 100% accurate. The exact state is stable; the learned
transition MLP still consumes continuous `kind_context` and literal features
that vary under longer source surfaces after their finite semantics are known.

## Sole intervention

The v1.2 action selector is the complete finite pop-insert algebra over:

- three exact current locations;
- two model-predicted directions (`left`, `right`); and
- two model-predicted amounts (`1`, `2`).

These 12 inputs map to one of the six exact S3 permutation matrices by a fixed
internal lookup buffer. Direction is the frozen compiler kind argmax. Amount is
the frozen v1.1 amount-head argmax. Identity remains mean/ordered/gold according
to the evaluation arm. The query remains the frozen learned consumer. No
source token state reaches the action or register after packet compilation.

There is no optimizer, gradient update, new parameter, data fit, seed, retry,
or threshold adaptation. The exact v1.1 checkpoint, public two-step/lexical/
depth boards, compiler, packet, identity arms, and query consumer are reused.
The action table is verified exhaustively against pop-insert semantics and on a
non-identity recurrent state before any H100 score.

## Frozen gates

One zero-fit H100 evaluation must satisfy all of:

1. two-step mean answer, state, and all-transition exactness each >=95%;
2. every two-step mean surface answer >=94%;
3. lexical-OOD mean answer >=75%;
4. depth mean answer >=87.3926% (ten points over untouched continuous RGDE);
5. depth mean state >=85% and complete chains >=65%;
6. depth-eight mean answer >=80%;
7. depth ordered answer and state each >=90%;
8. depth gold answer >=98%, state >=99%, and complete chains >=98%;
9. depth gold direction and amount accuracy each >=99.5%; and
10. every output records zero fit updates and zero confirmation access.

Passing authorizes one fresh seed-after-commit confirmation of the complete
compiler/register/consumer system with causal action and query interventions.
Failure rejects v1.2 for confirmation and localizes whether direction, amount,
identity, query, or the closed algebra remains responsible. A pass is still an
externally scheduled execution component, not free-form reasoning, autonomous
planning, learned halt, or a novelty claim.

## Closure

Job `693134` completed once on H100 `evc25` in 2m01s, exit `0:0`, with zero
fit and zero confirmation access. Two-step behavior remained exact, but depth
mean reached only 85.303% answers / 82.031% state / 63.281% complete chains;
gold reached 88.379% / 86.328% / 70.508%. Direction accuracy was only 93.403%
while amount remained 100%. See `R12_S3_CLOSED_ACTION_RESULT.md`. V1.2 is
rejected for confirmation.