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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.

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

RAMANUJAN

SLEEPING

Proof builder

Structured argument for L-04 handed to EUCLID

Model

Model used
demo / demo-proof-builder
Routing profile
proof_builder

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
70,668
Cached input
28,974
Output tokens
19,932
Average latency
108.6 s
Failed calls
0
Cost (estimated)
$0.0431
Joined
2026-09-22 11:58:00 UTC
Left
—

Recent activity

  • TASKArgument handed to the formalizer
  • PROOFStructured argument for L-04
  • TASKWriting the two steps
  • TASKDefinitions restated in the lemma's own terms
  • LEMMAL-04 · Monotonicity of the elimination round counter
  • TASKResearch memory consulted · counter definitions
  • TASKStructuring the argument for H-018
  • AGENTRAMANUJAN joined as Proof Builder

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