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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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Frontier availability 07 Senior reviewer Not started On the roster; the workflow has not woken it in this iteration.
LITERATURE-01 Literature researcher
Reading the landscape around: Structural decomposition by divisor intervals and rank layers
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 2
Input tokens 1,861
Cached input 0
Output tokens 455
Average latency 6.8 s
Failed calls 0
Cost (estimated) $0.000388
Joined 2026-09-25 19:13:01 UTC
Left 2026-09-25 19:15:22 UTC Recent activity 19:13:01 AGENT LITERATURE-01 joined as Literature Researcher 19:13:01 LITERATURE Literature search started 19:13:01 LITERATURE Literature search: 3 new of 3 19:13:01 LITERATURE Reviewed: Approximate Counting via Markov Chains 19:13:01 MEMORY Literature: Approximate Counting via Markov Chains 19:14:25 LITERATURE Literature search started 19:14:25 LITERATURE Indexed: Structural Evolution of Iron(III) Trifluoroacetate upon Thermal Decomposition: Chains, Layers, and Rings 19:14:25 LITERATURE Indexed: Structural Evolution of Iron(III) Trifluoroacetate upon Thermal Decomposition: Chains, Layers, and Rings Every figure here is aggregated from this agent’s recorded model calls, failed attempts included — a failed attempt is still an attempt.
19:14:25
LITERATURE
Indexed: Structural Evolution of Iron(III) Trifluoroacetate upon Thermal Decomposition: Chains, Layers, and Rings
19:14:25 LITERATURE Literature search: 3 new of 3
19:14:25 LITERATURE Reviewed: Structural Evolution of Iron(III) Trifluoroacetate upon Thermal Decomposition: Chains, Layers, and Rings
19:14:25 MEMORY Literature: Structural Evolution of Iron(III) Trifluoroacetate upon Thermal Decomposition: Chains, Layers, and Rings
19:15:22 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 29
Model calls 13
Estimated cost $0.006519 Budget remaining 99%
Iteration details & budget ↗ Engine unreachable
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