# C332 — Death criteria in the frozen choice menu

**The 950/108 partition selects the regular +2 choice b=2 but leaves the cumulative choice a free. Adding actual M→D 490 still admits both 02 and 22 at i3/5. Adding the separate two 17K requirement then conditionally selects 22 at i3/5.** This positive combined result is a finite criterion intersection, not a source-prescribed selector or a unique annual index.

The source review verifies the original 20 C319 rows and their 40 matched component configurations in 224 checks. N,D,M are existing C286 records. R is retrieved by C319's original event role, Gear, and context; S keeps its original cumulative ON-Shem annual identity. C317 supplies the predecessor i→Gear/rail mapping used by C319.

| Choice a/b | Jointly admitted i |950/108 |950/108 plus actual 490 | Both new criteria plus two 17K |
|---|---|---|---|---|
|00|3–7|None|None|None|
|02|3,4,5|3,4,5|3,5|None|
|20|3,4,5|None|None|None|
|22|3,4,5|3,4,5|3,5|3,5|

For fixed i, 02 and 22 have identical admitted N,M,D,R endpoints. Their S records are different cumulative annual members, indexed i and i+2. Therefore no condition involving only the regular death path can distinguish those two S choices. In particular, 02 is a concrete source-admitted counterexample to claiming that the two new criteria alone force 22.

Conversely, C319's original two 17K condition is a=b. Combining it with b=2 from the 108 leg gives 22. The resulting i3/5 rows satisfy the combined requirements, including the actual 490 intermediate. The conditional success must be retained alongside the missing source prescription.

The b=0 paths have D→R 110. The b=2 paths have formal 108, but i6/7 require absent MT Gear 4 Flood records and cannot be counted as admitted death paths. The a=2 cases likewise retain the cumulative upper-bound failure at annual members 8/9. Arithmetic on a required coordinate does not supply its missing source identity.

Actual same-Gear MT Noah births preserve the primary/companion distinction established in C331: M→D is 490 on primary rows and 491 on companion rows. Thus i4 retains its valid 950/108 partition but fails the additional 490 criterion; no MT companion is invented. Flood start/close remains an event distinction, and matched SP death qualifications remain attached.

C287's valid i2 companion path is outside C319's frozen i3–7 slice. It remains separately retained, not rejected by this test. The menu was not extended, ancestry was not collapsed, and no new endpoint or E execution occurred. **No C333 research was performed.**