Triple
T9809799
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Herbrand disjunction |
E238239
|
entity |
| Predicate | roleInHerbrandTheorem |
P90132
|
FINISHED |
| Object | witnesses the unsatisfiability of a first-order formula |
—
|
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: witnesses the unsatisfiability of a first-order formula | Statement: [Herbrand disjunction, roleInHerbrandTheorem, witnesses the unsatisfiability of a first-order formula]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: roleInHerbrandTheorem Context triple: [Herbrand disjunction, roleInHerbrandTheorem, witnesses the unsatisfiability of a first-order formula]
-
A.
hasTheorem
Indicates that one entity (typically a mathematical theory, field, or work) includes, establishes, or is associated with a particular theorem.
-
B.
hasCanonicalValuation
Indicates that an entity is associated with its standard or officially recognized valuation or assessed value.
-
C.
hasTheoremNamedAfter
Indicates that a theorem is named in honor of or after a particular person or entity.
-
D.
logicSystem
Indicates a relationship where an entity is associated with, defined within, or governed by a particular logical framework or system of formal reasoning.
-
E.
symbolizedIn
Indicates that one entity serves as a symbol or representation of 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_69ca84defac48190abc1148804f184c1 |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cdb220310c8190a16ca0b746f0ef7a |
completed | April 2, 2026, 12:02 a.m. |
| PD | Predicate disambiguation | batch_69cd03dd2da881909052fbf29736a773 |
completed | April 1, 2026, 11:39 a.m. |
| PDg | Predicate description generation | batch_69cd06abc9248190a506b64e9c516d03 |
completed | April 1, 2026, 11:51 a.m. |
Created at: March 30, 2026, 8:29 p.m.