# C1557 — Explain theSP completed refinement relative to its source

## Question

How does the completed full-refinement head sit relative to acceptedSPFall?

## Sources

```json
[]
```

## Opened utc

2026-09-29T02:38:54.181152+00:00

## Results

```json
{
  "source_Fall": 13396,
  "primary_completed": 14116,
  "refined_completed": 9796,
  "primary_source_shift": 720,
  "refined_source_shift": -3600,
  "decomposition": [
    720,
    -4320
  ]
}
```

## Finding

The completed refined head9796 is3600 later than sourceFall13396: the earlier+720 shift minus4320 becomes−3600.

## Reassessment

Retain this as a derived corollary, then connect the2730 form to its existingMT placement.

## Checks

```json
{}
```

## Closed utc

2026-09-29T02:38:54.181440+00:00

## Record provenance

Exact record hash: `65053aefd14b9348e11ce328407a6b75c04f10ed3d73591661b80cdff0ca3e37`

Source journal: `Research_Cycles/C1483_C1582/c1483_c1582/journal.json`