# Independent review of C1132–C1145

**PASS with one wording clarification.** All reviewed arithmetic and model outputs agree with independent calculations. No source or root artifact was changed. The JSON binds the fourteen journal records, scripts, model artifacts, source support, and archived C1138 attempt.

## Age relations and information cost

The six-by-nine matrix has rank six and its nullspace has dimension three. The complete age field is `(2m,s,460−3m−s−k,k,m,127−m,m,67,52)`. Its three source relations are Adam twice Mahalalel, Enoch equal to Mahalalel, and the first-five total460. The other three equations are reverse readings of the retained cap lives847/720/653 with601 held. C1140 correctly counts those outputs as inputs when used backward. They cannot be regenerated from the same ages and then counted as fresh evidence.

File51a §8.3 explicitly supplies the equal65 flanks and half-Adam relation. File47 §8.4 explicitly supplies the first-five460 total. These are existing source relations, not newly fitted coefficients. Their extension to variable ages is a diagnostic model; it does not authorize changed biographies or explain why every original age was selected.

At fixed Noah placement, the birth directions agree in all nine rows. Adam, Jared, Methuselah and Lamech stay fixed, while Seth, Enosh, Kenan, Mahalalel and Enoch can move. The total460 therefore preserves the outer segment while leaving its interior unresolved.

## Full-cap inequalities and the early grid

The symbolic capacity field is `(1307,1307−2m,1307−2m−s,847+m+k,847+m,847,720+m,720,653)`. With all ages positive, the nonredundant conditions for retaining the complete nine-life output are `m≥48`, `m+k≥63`, and `2m+s≤402`. Positive Jared age gives `m<127`; hence the exact integer projection is48 through126. Every integer in that interval has a constructive witness, for example `s=1` and `k=max(1,63−m)`. At48, Mahalalel ties his capacity but is not strictly reduced. The three strict clips remain Jared, Methuselah and Lamech.

With65 held and the additional five-year grid/descending-order restrictions, all ten reported triples are present and exhaustive. They all retain the full cap output. Seth105 leaves two candidates, Enosh90 three, and Kenan70 five. Any pair of the three actual interior ages fixes the printed tuple.

**C1139 wording clarification:** its statement that the rational and grid models have “different identification costs” is not demonstrated for this actual tuple after C1138's correction. The grid narrows an infinite family to ten candidates, but it still needs two retained interior ages once65 is held, as the linear model does. Subsequent prose should state this directly. This affects interpretation only; the rank-nine completion and recovered ages are correct.

The C1137 check name “all_admitted_conditions” denotes selected diagnostic conditions. Its artifact explicitly excludes chronological admission and statistical sampling. Later wording should continue to call these selected diagnostic conditions.

## Preserved failed hypothesis

The preparation archive retains the original C1138 `Enosh_unique` assertion. Independent enumeration makes that assertion false because three candidates retain Enosh90. The final script and sealed record instead give counts2/3/5 and explicitly record the rejected hypothesis. The journal writer checks all assertions before appending; only the corrected C1138 record is sealed. Thus the negative result is preserved rather than silently turned into a successful uniqueness claim. The archive and writer logic support this disposition; they are not represented as a separate complete runtime log.

## Capacity, slack, and located changes

File18 §4A.2 explicitly supplies Methuselah's187+182+600=969 Flood alignment. Relative to SP's67+52+600+1=720, its249 reduction is120+130−1. The full53 companion description assigns the one-year distinction elsewhere; no second correction is licensed.

The whole-field law `L−min(L,c₀−d)=max(0,d−(c₀−L))` is correct. On the common inclusive-capacity comparison, the MT slack is727,615,517,422,367,235,670,1,6. The ordered age reductions100,120,130 generate capacity losses350,350,350,350,350,350,250,250,130. Crossing those slack thresholds gives exactly the three lifespan reductions115,249,124 and total488.

The MT capacity ledger here uses the same600-plus-inclusive-one convention for comparison. Its1 of Methuselah slack and6 of Lamech slack are therefore not assertions that their ordinary MT deaths occur one and six years before the Flood. C1143's scope field correctly preserves the ordinary MT death convention.

Exchanging the100 and120 loss locations preserves their total and positive ages but changes Methuselah's capped life by20. That is a valid unadmitted placement diagnostic. It explains why the ordered source vector carries more information than its endpoint total; it is not an alternative manuscript proposal.

## Strategy relevance

This block improves the local source explanation: it distinguishes relational compression from backward measurement, exposes the precise remaining age freedom, and joins located begetting changes to lifespan reductions through one threshold rule. The strongest positive result is the capacity-loss/slack mechanism across all nine rows. The selected source ages, ancestral lifespans, and current source hierarchy remain premises where the equations do not identify them. No historical priority or statistical rarity is inferred.

Independent verification: 31 checks passed, none failed. These are verification items, not independent discoveries.