# C783 — Identify the cumulative restriction of the regular state cube

## Question

Must eight regular configurations produce eight different raw cumulative chains?

## Inputs

```json
{}
```

## Sources

```json
[
  "File18 raw MT/LXX Terah and Cainan rules"
]
```

## Opened utc

2026-09-28T02:02:14.359668+00:00

## Results

```json
{
  "raw_MT_LXX_cumulative_classes": {
    "0": [
      "000",
      "010",
      "100",
      "110"
    ],
    "1": [
      "001",
      "011",
      "101",
      "111"
    ]
  },
  "forgotten_choices": [
    "Sojourn regular placement",
    "Terah life205-preserving repartition"
  ],
  "retained_choice": "Cainan lifespan460 insertion",
  "SP_scope": "official145 retained; ideal205 is separately tagged"
}
```

## Finding

For the admitted raw MT/LXX lifespan projection, the eight regular labels collapse to two cumulative executions. Mode choice forgets some source-position data; it does not erase the source-state labels themselves.

## Reassessment

Test the complete residual vectors under all admitted matched configurations.

## Checks

```json
{
  "four_per_class": true,
  "two": true
}
```

## Closed utc

2026-09-28T02:02:14.359908+00:00

## Record provenance

Exact record hash: `6ae621d7ac0223937e82d374668740731791db44e59ad1dad709eb33cdcf8d43`

Source journal: `Research_Cycles/C0732_C0831/journal.json`