Triple

T11242751
Position Surface form Disambiguated ID Type / Status
Subject Conway's thrackle conjecture E266111 entity
Predicate inequalityForm P52976 FINISHED
Object m ≤ n for thrackles, where m is number of edges and n is number of vertices LITERAL FINISHED

How this triple was built (2 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: m ≤ n for thrackles, where m is number of edges and n is number of vertices | Statement: [Conway's thrackle conjecture, inequalityForm, m ≤ n for thrackles, where m is number of edges and n is number of vertices]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: inequalityForm
Context triple: [Conway's thrackle conjecture, inequalityForm, m ≤ n for thrackles, where m is number of edges and n is number of vertices]
  • A. inequality chosen
    Indicates that there is a difference or lack of equality in status, rights, opportunities, or treatment between entities.
  • B. alternativeForm
    Indicates that one entity is an alternative version, variant, or representation of another entity.
  • C. dataProcessingInequality
    Indicates that processing data through a (possibly noisy) transformation cannot increase the information one variable has about another, so the mutual information between them can only stay the same or decrease.
  • D. logicalForm
    Indicates a relationship where an expression is associated with its structured, formal logical representation.
  • E. simplifiedForm
    Indicates that one entity is a reduced or less complex version of another, preserving essential meaning while omitting detail or complexity.
  • F. None of above.

Provenance (3 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d6aac656d48190b275efaa7d6074ee completed April 8, 2026, 7:21 p.m.
NER Named-entity recognition batch_69d7e91b0b808190bc38008bb344d180 completed April 9, 2026, 5:59 p.m.
PD Predicate disambiguation batch_69d7878906f48190b63ddc103a0c8f9b completed April 9, 2026, 11:03 a.m.
Created at: April 8, 2026, 9:30 p.m.