Triple

T12026996
Position Surface form Disambiguated ID Type / Status
Subject Connes embedding problem E286302 entity
Predicate disproofMethod P64864 FINISHED
Object construction of non-hyperlinear II₁ factors 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: construction of non-hyperlinear II₁ factors | Statement: [Connes embedding problem, disproofMethod, construction of non-hyperlinear II₁ factors]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: disproofMethod
Context triple: [Connes embedding problem, disproofMethod, construction of non-hyperlinear II₁ factors]
  • A. hasCounterexample chosen
    Indicates that there exists at least one specific case or instance that disproves or violates a given claim, rule, or general statement.
  • B. contradictedTheory
    Indicates that one entity has presented evidence, arguments, or findings that oppose, challenge, or invalidate the theory proposed by another entity.
  • C. proved
    Indicates that one entity has demonstrated the truth or validity of another entity (such as a statement, theorem, or claim) through logical or evidential means.
  • D. hasAlternativeProofMethod
    Indicates that there exists a different proof technique or approach that can be used to establish the same result or theorem.
  • E. repudiationMethod
    Indicates the specific means or process by which a party denies, rejects, or invalidates a claim, action, or association.
  • 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_69d6ab4669e48190b59246358b0383ab completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d9100b4ca8819084845ca4c13e34ce completed April 10, 2026, 2:58 p.m.
PD Predicate disambiguation batch_69d902b6ebbc8190b13c44a61c6f81b9 completed April 10, 2026, 2:01 p.m.
Created at: April 8, 2026, 9:47 p.m.