Triple
T25130139
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Diophantine equations |
E629500
|
entity |
| Predicate | solvabilityProperty |
P3643
|
FINISHED |
| Object | undecidable in general |
—
|
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: undecidable in general | Statement: [Diophantine equations, solvabilityProperty, undecidable in general]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: solvabilityProperty Context triple: [Diophantine equations, solvabilityProperty, undecidable in general]
-
A.
isExactlySolvable
Indicates that a problem, model, or equation can be solved completely and exactly (without approximation) using known analytical or algorithmic methods.
-
B.
isAbelianFor
Indicates that the operation or structure associated with the given entity is commutative (i.e., forms an Abelian group) with respect to the specified context or parameters.
-
C.
hasAbelianization
Indicates that one algebraic structure is related to the abelian group obtained by quotienting it by its commutator subgroup (its abelianization).
-
D.
admitsSolution
chosen
Indicates that a problem, system, or situation allows for or possesses at least one valid solution.
-
E.
isSolutionOf
Indicates that one entity is a correct answer or satisfies the conditions of a given problem, equation, or task.
- 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_69e2ff3288048190bd82c3b7f7bd0e62 |
completed | April 18, 2026, 3:49 a.m. |
| NER | Named-entity recognition | batch_69f465f79bd081909a2f5165aa89dc16 |
completed | May 1, 2026, 8:36 a.m. |
| PD | Predicate disambiguation | batch_69f44d8043b081908bbffd7f044b4f26 |
completed | May 1, 2026, 6:51 a.m. |
Created at: April 18, 2026, 6:28 a.m.