Triple
T17020152
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Young's inequality |
E412926
|
entity |
| Predicate | equalityHoldsIf |
P52973
|
FINISHED |
| Object | a^p = b^q |
—
|
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: a^p = b^q | Statement: [Young's inequality, equalityHoldsIf, a^p = b^q]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: equalityHoldsIf Context triple: [Young's inequality, equalityHoldsIf, a^p = b^q]
-
A.
holdsIfAndOnlyIf
Indicates that a condition or relationship is true exactly when, and only when, another specified condition holds, establishing a bidirectional logical equivalence between them.
-
B.
equalityCondition
chosen
Indicates that two values, expressions, or attributes must be exactly the same for the condition to be satisfied.
-
C.
satisfiesInequality
Indicates that one quantity or expression fulfills the condition specified by a given inequality relation (such as <, ≤, >, or ≥).
-
D.
isEquiconsistentWith
Indicates that two formal theories or systems have the same consistency strength, such that if one is consistent then the other is also consistent, and if one is inconsistent then so is the other.
-
E.
mayBeEqualTo
Indicates that two entities are possibly equal, but their equality is uncertain or not definitively established.
- 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_69d886cc4170819093deddc7b8b4b6a7 |
completed | April 10, 2026, 5:12 a.m. |
| NER | Named-entity recognition | batch_69e3d482c3a0819099e6ea4acb0a08ee |
completed | April 18, 2026, 6:59 p.m. |
| PD | Predicate disambiguation | batch_69e35d5be7f48190af9db67a1e23850f |
completed | April 18, 2026, 10:30 a.m. |
Created at: April 10, 2026, 5:33 a.m.