C1133 — Form the joint SP age constraints

Question

How many free age coordinates remain after the explicit source relations and inherited cap equations?

Inputs

{
  "variables": [
    "Adam",
    "Seth",
    "Enosh",
    "Kenan",
    "Mahalalel",
    "Jared",
    "Enoch",
    "Methuselah",
    "Lamech"
  ]
}

Sources

[
  "C1132",
  "File18 §3.1",
  "File51a §8.3"
]

Opened utc

2026-09-28T04:57:51.938865+00:00

Results

{
  "age_constraints": {
    "path": "model/SP_age_constraints.json",
    "sha256": "a424c44212d21411e61116d36dad64234cf5602e9c4578c3989ac79f8ab308fd",
    "bytes": 1226
  },
  "rank": 6,
  "free_coordinates": 3
}

Finding

The six retained relations have rank6 on nine ages, leaving three free coordinates. They reduce the local input model without uniquely recovering the whole age sequence.

Reassessment

Describe the three remaining freedoms explicitly to see which source values are still needed.

Checks

{
  "all_source_equations": true,
  "rank6": true
}

Closed utc

2026-09-28T04:57:51.941254+00:00

Record provenance

Exact record hash: 8864da50f84957f28dd0b217d4758a05a60155c6269126a2de444e9ec7d449dd

Source journal: Research_Cycles/C1132_C1431_Recovered/journal.json