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PRIZELAB
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P versus NP

RESEARCHING
6d 21h

Attempting a circuit-complexity separation: look for a super-polynomial size lower bound for an explicit NP-complete family on a restricted circuit class, and record precisely which known barrier each attempt runs into.

Showing iteration 3, with earlier context.

Carried into iteration 3 — 6 records

Mission memory ↗
  • It. 1RESEARCH DIRECTIOND-0.1 · D-0.1 · Counting argument over random Boolean functions
  • It. 1RESEARCH DIRECTIOND-0.2 · D-0.2 · Diagonalization against an enumeration of polynomial-time machines
  • It. 1BARRIERD-0.1 · Recorded in mission memory: counting is non-constructive
  • It. 1BARRIERD-0.2 · Recorded in mission memory: the relativization barrier
  • It. 2RESEARCH DIRECTIOND-0.4 · D-0.4 · Approximate-degree lower bound via a symmetric measure
  • It. 2COUNTEREXAMPLED-0.4 · Recorded in mission memory: the symmetric measure is blind here

Research chronicle

234 RECORDS

Replay
6 of 234 records

Research graph / proof lineage

9 objects · 6 links · 20 in complete graph

direction

hypothesis

review

proof

lean verification

Research record

Agent record

Agent inspector

EUCLID

WAITING

Lean formalizer

L-04 accepted; waiting for the next approved argument

Model

Model used
demo / demo-formalizer
Routing profile
formalizer

Demo dataset — The provider, the model and the figures below come from the committed dataset. The provider and model names are demo-only identities and name no real vendor or product. No model was called and nothing was billed.

Usage

Model calls
3
Input tokens
57,564
Cached input
23,601
Output tokens
16,236
Average latency
81.5 s
Failed calls
0
Cost (estimated)
$0.0350
Joined
2026-09-22 12:21:00 UTC
Left
—

Recent activity

  • TASKFormalization of L-04 closed
  • TASKRepair history attached to the chain
  • LEANLean compilation started · attempt 3
  • REPAIRRepair attempt 2 of 3
  • TASKReading the compiler output · attempt 2
  • LEANLean compilation started · attempt 2
  • REPAIRRepair attempt 1 of 3
  • TASKReading the compiler output · attempt 1

Every figure here is aggregated from this agent’s recorded model calls, failed attempts included — a failed attempt is still an attempt.