# C1196 — Intersect Rounded fibres with the early equal-remainder relation

## Question

Does Arphaxad/Shelah equal remaining life select their exact source decomposition?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1192",
  "C1160"
]
```

## Opened utc

2026-09-28T05:23:46.247007+00:00

## Results

```json
{
  "intersections": {
    "path": "model/early_pair_rounding_relation.json",
    "sha256": "5c76d1a7978ba62189b3f22166a016fb9443399c0063a6ba53cdce442783599a",
    "bytes": 987
  },
  "counts": [
    [
      "MT",
      9,
      3
    ],
    [
      "SP",
      9,
      3
    ],
    [
      "LXX",
      25,
      5
    ]
  ]
}
```

## Finding

The equal-remainder premise sharply reduces paired ambiguity but does not identify the exact early values. Its five-year begetting difference follows from the exact lifespan difference once the shared remainder is imposed.

## Reassessment

Test the late block where Reu supplies a conditional singleton.

## Checks

```json
{
  "source_present": true,
  "not_unique": true,
  "reduced": true
}
```

## Closed utc

2026-09-28T05:23:46.248261+00:00

## Record provenance

Exact record hash: `b1b772e10daf556304b2690a3fdd587b20d3a2cc3a81ec8cefd79be347a97de6`

Source journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`