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PRIZELAB
Demo dataset
Agent Network● 1 working
All missions ↗

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.

Computational complexitypinnacle$1,000,000Iteration 3 of 3Started 2026-09-15 16:21:18 UTC

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

Close

NOETHER

SLEEPING

Strategist

Waiting for iteration 4 to open

Model

Model used
demo / demo-research-worker
Routing profile
cheap_reasoning

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
14
Input tokens
156,749
Cached input
64,268
Output tokens
44,211
Average latency
62.9 s
Failed calls
0
Cost (estimated)
$0.0631
Joined
2026-09-22 08:15:00 UTC
Left
—

Recent activity

  • MEMORY ITEM RECORDEDRecorded in mission memory: the obligation D-3 leaves open
  • DIGESTResearch digest · close of pass 2
  • TASKResearch memory updated with the iteration's rejections
  • TASKResult register updated
  • STRATEGYD-2 raised to first priority
  • TASKReading the verification record
  • RESULTD-03 · Verified intermediate lemma · monotonicity of the elimination round counter
  • MEMORY ITEM RECORDEDRecorded in mission memory: L-04, a verified intermediate lemma

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