Triple
T36640641
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | symmetric group S5 |
E904572
|
entity |
| Predicate | isSmallestSymmetricGroupWithNonSolvableGaloisGroup |
P186221
|
FINISHED |
| Object | true |
—
|
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: true | Statement: [symmetric group S5, isSmallestSymmetricGroupWithNonSolvableGaloisGroup, true]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isSmallestSymmetricGroupWithNonSolvableGaloisGroup Context triple: [symmetric group S5, isSmallestSymmetricGroupWithNonSolvableGaloisGroup, true]
-
A.
isSmallestSymmetricGroupWithNonSolvableSubgroup
Indicates that a group is the smallest symmetric group (by degree) that contains at least one subgroup which is not solvable.
-
B.
isSmallestNonAbelianSimpleGroupWith
Indicates that a group is the smallest non-abelian simple group possessing the specified additional property or structure.
-
C.
hasGaloisGroupIsomorphicTo
Indicates that the Galois group associated with one mathematical object is isomorphic (structure-preserving bijection exists) to the Galois group associated with another object.
-
D.
hasGaloisGroup
Indicates that one mathematical object (typically a field extension or polynomial) has the specified group as its Galois group, capturing the symmetries of its roots or structure.
-
E.
isMaximalSymmetryGroupOf
Indicates that a group represents the largest possible symmetry group for a given object or structure, such that no strictly larger symmetry group of that object exists containing it.
- 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_69f76e6c63e48190b1d0c3a79a6c7406 |
completed | May 3, 2026, 3:49 p.m. |
| NER | Named-entity recognition | batch_69f7cabacc1481909e839454ce1057f7 |
completed | May 3, 2026, 10:22 p.m. |
| PD | Predicate disambiguation | batch_69f7c8999a348190abc1895eaa6e036d |
completed | May 3, 2026, 10:13 p.m. |
| PDg | Predicate description generation | batch_69f7c9f4c7c48190ba918d8d5dc8dfd9 |
completed | May 3, 2026, 10:19 p.m. |
Created at: May 3, 2026, 4:11 p.m.