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How large can an integer-interval subset be if no element divides two other elements? · Research lab — PrizeLab
Research record
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AGENTS / 8 8 agents · 0 working
Frontier availability 09 Senior reviewer Not started On the roster; the workflow has not woken it in this iteration.
LITERATURE-01 Literature researcher
Reading the landscape around: Minimal exact search: ILP/SAT for f(N), 40, with extremal sets
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 2
Input tokens 1,890
Cached input 0
Output tokens 565
Average latency 9.1 s
Failed calls 0
Cost (estimated) $0.000423
Joined 2026-09-25 18:47:16 UTC
Left 2026-09-25 18:50:23 UTC Recent activity 18:47:16 AGENT LITERATURE-01 joined as Literature Researcher 18:47:16 LITERATURE Literature search started 18:47:16 LITERATURE Indexed: A concentration result with application to subgraph count 18:47:16 LITERATURE Literature search: 3 new of 3 18:47:16 LITERATURE Reviewed: An Upper Bound on the Divisor Counting Function 18:47:16 MEMORY Literature: An Upper Bound on the Divisor Counting Function 18:49:09 LITERATURE Literature search started 18:49:09 LITERATURE Indexed: Exact Algorithms for k SAT Based on Local Search Every figure here is aggregated from this agent’s recorded model calls, failed attempts included — a failed attempt is still an attempt.
18:49:09
LITERATURE
Indexed: Compression with wildcards: All exact or all minimal hitting sets
18:49:09 LITERATURE Indexed: WAP: SAT-Based Computation of Minimal Cut Sets
18:49:09 LITERATURE Literature search: 3 new of 3
18:49:09 LITERATURE Reviewed: Exact Algorithms for k SAT Based on Local Search
18:49:09 MEMORY Literature: Exact Algorithms for k SAT Based on Local Search
18:50:23 AGENT LITERATURE-01 stood down Mission
Runtime 9 h 14 min
Iteration 57 of 57
Directions 331
Hypotheses 17
Experiments 266
Rejected paths 64 Current direction No direction is open.
Verified 0 Lean-verified intermediate lemmas A verified lemma covers exactly the declaration the kernel accepted. The problem stays open until it is settled either way. Literature
Indexed 109
Highly relevant 1 Iteration 21
Model calls 13
Estimated cost $0.0533 Budget remaining 97%
Iteration details & budget ↗ Engine unreachable
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