Skip to content

bench: amend Tseitin ladder — give the whole night to 4x5 (mid-run) - #70

Merged
InauguralPhysicist merged 1 commit into
mainfrom
tseitin-ladder-amendment-2
Jul 29, 2026
Merged

bench: amend Tseitin ladder — give the whole night to 4x5 (mid-run)#70
InauguralPhysicist merged 1 commit into
mainfrom
tseitin-ladder-amendment-2

Conversation

@InauguralPhysicist

Copy link
Copy Markdown
Contributor

Second mid-run amendment. No registered prediction is edited — only the remaining schedule.

State after pass 1

case resolutions wall status ratio vs 4×4
4×4 95,516 429s DONE
4×5 ≥452,569 >5,400s TIMEOUT ≥4.74×
5×5 ≥1,194,575 >21,600s TIMEOUT ≥12.5×

Both ratio predictions are unresolved and neither is confirmed. 5×5 reached only 12.5× against a ≥20× prediction — so it did not confirm prediction 1 from below the way Amendment 1 hoped. It needed ~1.9M and stopped at 1.19M.

My estimates were wrong by 5–10×

Stating it plainly rather than quietly re-tuning: the caps came from a 3×3→4×4 extrapolation that badly underestimated how per-conflict cost grows with formula size. That estimation error, not the hardware, is what cost this run its headroom.

Change

Killed 4×6 mid-run (strictly harder than a 4×5 that couldn't close in 90 min — a guaranteed timeout), dropped 4×7, gave the whole remaining window to 4×5 alone with a 9.5h cap (18:50 → 04:20, buffer before the ~05:57 reboot). The @reboot cron resumes the same single-case plan.

Why 4×5 and not 5×5

Room for only one in ~10.9h:

  • A closed case is a measurement; everything else is a bound. 4×5 is by far the likeliest remaining case to close — the only route to a second real number tonight.
  • Prediction 2 is the claim most likely to be wrong. The whole two-axis framing rests on the rectangular axis being flat, and at ≥4.74× it's already leaving the predicted 1.3×–5× band. Testing your own weakest claim beats adding support to the stronger one.
  • 5×5 needs ~9.25h from scratch just to cross 1.9M, and the search is deterministic — a shorter re-run only re-treads the same trajectory and banks nothing new. That buys a one-directional bound instead of a measurement.

Left open

5×5's ≥12.5× sits well below the 48× measured for 3×3→4×4. If its true ratio lands near 15–25×, the expansion-axis multiplier is decreasing, contradicting the rising-multiplier pattern pigeonhole shows. This ladder can't settle that on this hardware — it needs much more time or a faster runtime.

🤖 Generated with Claude Code

No registered prediction is edited; only the remaining schedule changes.

State after pass 1: 4x4 DONE at 95,516 resolutions in 429s; 4x5 TIMEOUT at
>=452,569 (>=4.74x); 5x5 TIMEOUT at >=1,194,575 (>=12.5x). Both ratio
predictions are UNRESOLVED and neither is confirmed -- 5x5 reached only
12.5x against a >=20x prediction, so it did not confirm prediction 1 from
below as Amendment 1 hoped.

My original time estimates were wrong by roughly 5-10x. Stating that
plainly rather than quietly re-tuning: the caps came from a 3x3->4x4
extrapolation that badly underestimated how per-conflict cost grows with
formula size. That estimation error, not the hardware, cost this run its
headroom.

Killed 4x6 mid-run (strictly harder than a 4x5 that could not close in 90
min, so a guaranteed timeout), dropped 4x7, and gave the whole remaining
window to 4x5 alone with a 9.5h cap. The @reboot cron resumes the same
single-case plan.

Why 4x5 over 5x5 with room for only one: a closed case is a measurement and
everything else is a bound, 4x5 is likeliest to close, and prediction 2 is
the claim most likely to be wrong -- the two-axis framing rests on the
rectangular axis being flat and it is already leaving the predicted band.
5x5 would need ~9.25h from scratch just to cross 1.9M, and since the search
is deterministic a shorter re-run only re-treads the same trajectory.

Left open: 5x5's >=12.5x sits well below the 48x measured for 3x3->4x4. If
its true ratio lands near 15-25x the expansion-axis multiplier is
DECREASING, contradicting the rising-multiplier pattern pigeonhole shows.
This hardware cannot settle that.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
@InauguralPhysicist
InauguralPhysicist merged commit c827286 into main Jul 29, 2026
1 check passed
@InauguralPhysicist
InauguralPhysicist deleted the tseitin-ladder-amendment-2 branch July 29, 2026 23:52
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

None yet

Projects

None yet

Development

Successfully merging this pull request may close these issues.

1 participant