Triple
T5570511
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fermat's Last Theorem |
E146188
|
entity |
| Predicate | assertsNonexistenceOf |
P64858
|
FINISHED |
| Object | nontrivial integer solutions for x^n + y^n = z^n with n > 2 |
—
|
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: nontrivial integer solutions for x^n + y^n = z^n with n > 2 | Statement: [Fermat's Last Theorem, assertsNonexistenceOf, nontrivial integer solutions for x^n + y^n = z^n with n > 2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: assertsNonexistenceOf Context triple: [Fermat's Last Theorem, assertsNonexistenceOf, nontrivial integer solutions for x^n + y^n = z^n with n > 2]
-
A.
existsFor
Indicates that something is present, available, or holds true for a particular entity, context, or condition.
-
B.
canExistAt
Indicates that an entity is capable of being present or occurring at a specified location, time, or context.
-
C.
concludesExistenceOf
Indicates that one entity determines or infers that another entity exists.
-
D.
succeedsInAbsenceOf
Indicates that one entity successfully achieves or maintains something only when another specified entity or condition is not present.
-
E.
supportsAssertionLibraries
Indicates that one entity provides compatibility with or functionality for using specific assertion libraries in conjunction with another entity.
- F. None of above. chosen
Provenance (4 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_69c008ffed108190a084602227af6157 |
completed | March 22, 2026, 3:21 p.m. |
| NER | Named-entity recognition | batch_69c020502a288190af37f9ebb88fccae |
completed | March 22, 2026, 5:01 p.m. |
| PD | Predicate disambiguation | batch_69c01b12826c8190969a584d0f53aa44 |
completed | March 22, 2026, 4:38 p.m. |
| PDg | Predicate description generation | batch_69c01f4032408190a4f0d2eb21ebd870 |
completed | March 22, 2026, 4:56 p.m. |
Created at: March 22, 2026, 3:37 p.m.