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README.md
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---
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license: apache-2.0
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---
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license: apache-2.0
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configs:
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- config_name: carleson
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data_files:
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- split: valid
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path: "minictx-valid/carleson.jsonl"
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- split: test
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path: "minictx-test/carleson.jsonl"
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- config_name: ConNF
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data_files:
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- split: valid
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path: "minictx-valid/ConNF.jsonl"
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- split: test
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path: "minictx-test/ConNF.jsonl"
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- config_name: FLT
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data_files:
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- split: valid
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path: "minictx-valid/FLT.jsonl"
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- split: test
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path: "minictx-test/FLT.jsonl"
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- config_name: foundation
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data_files:
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- split: valid
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path: "minictx-valid/foundation.jsonl"
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- split: test
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path: "minictx-test/foundation.jsonl"
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- config_name: HepLean
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data_files:
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- split: valid
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path: "minictx-valid/HepLean.jsonl"
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- split: test
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path: "minictx-test/HepLean.jsonl"
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- config_name: mathlib
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data_files:
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- split: valid
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path: "minictx-valid/mathlib.jsonl"
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- split: test
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path: "minictx-test/mathlib.jsonl"
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- config_name: Seymour
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data_files:
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- split: valid
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path: "minictx-valid/Seymour.jsonl"
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- split: test
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path: "minictx-test/Seymour.jsonl"
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---
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miniCTX-v2 is a context-rich dataset for evaluation of neural theorem proving under a more realistic scenario. [Project page](https://cmu-l3.github.io/minictx/)
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## Example Entry
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An entry in the miniCTX dataset consists of the theorem statement, preceding file contents, and metadata information. For example, given the following theorem `s_eq_pow_two` in context:
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```lean
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import Mathlib.Data.Real.Basic
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/-!
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# Square function
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We define the squaring function `s : ℝ → ℝ` to be `s x := x * x`.
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-/
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def s (x : ℝ) : ℝ := x * x
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lemma s_eq_pow_two {x : ℝ} : s x = x ^ 2 := by
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rw [s, pow_two]
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```
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The problem is formatted in JSON as follows:
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```json
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{
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# Preceding file content
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"srcContext": "import Mathlib.Data.Real.Basic\n\n/-!\n# Square function\nWe define the squaring function `s : ℝ → ℝ` to be `s x := x * x`.\n-/\n\ndef s (x : ℝ) : ℝ := x * x\n\n",
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# Theorem statement
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"theoremStatement": "lemma s_eq_pow_two {x : ℝ} : s x = x ^ 2",
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# Fully qualified theorem name
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"theoremName": "s_eq_pow_two",
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# Temporal metadata
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"fileCreated": {"commit":"(git commit)", "date":"(date the commit is updated)"},
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"theoremCreated": {"commit":"(git commit)", "date":"(date the commit is updated)"},
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# Source metadata
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"file": "MyProject/Square.lean",
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"module": "MyProject.Square",
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"positionMetadata": {
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# Line number the theorem is on
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"lineInFile": 10,
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# Number of tokens before the theorem
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"tokenPositionInFile": 152,
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# Number of premises (definitions, theorems) before the theorem
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"theoremPositionInFile": 1
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},
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# Dependency metadata
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"dependencyMetadata": {
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# Number of definitions or lemmas defined in this file that the theorem uses
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"inFilePremises": true,
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"numInFilePremises": 1,
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# Number of definitions or lemmas defined in this repository that the theorem uses (including in-file ones)
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"repositoryPremises": true
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"numRepositoryPremises": 1,
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# Number of total premises (in file, repository, or otherwise)
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"numPremises": 2,
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},
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# Proof metadata
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"proofMetadata": {
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"hasProof": true,
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"proof": "by\n rw [s, pow_two]",
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"proofType": "tactic",
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"proofLengthLines": 2,
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"proofLengthTokens": 20
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}
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}
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```
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### Description of Each Entry
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- **srcContext**: The context of the source file preceding the theorem, including imports and relevant definitions. This provides necessary background to understand the theorem.
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- **theoremStatement**: The statement of the theorem being proved.
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- **theoremName**: The name of the theorem.
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- **fileCreated**: The git commit hash indicating when the file was created.
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- **theoremCreated**: The git commit hash indicating when the theorem was added.
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- **file**: The name of the file containing the theorem.
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- **positionMetadata**:
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- **lineInFile**: The line number in the file where the theorem is located.
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- **tokenPositionInFile**: The number of tokens in the file before the theorem starts.
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- **theoremPositionInFile**: The number of premises (definitions, theorems) before the theorem in the file.
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- **dependencyMetadata**:
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- **inFilePremises**: Indicates whether the theorem uses definitions or lemmas defined in the same file.
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- **numInFilePremises**: The number of definitions or lemmas from the same file that the theorem relies on.
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- **repositoryPremises**: Indicates whether the theorem uses definitions or lemmas defined in another file within the same repository.
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- **numRepositoryPremises**: The total number of definitions or lemmas from the repository (including the current file) that the theorem depends on.
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- **numPremises**: The total number of premises the theorem depends on, regardless of whether they are from the same file, the repository, or external sources.
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- **proofMetadata**:
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- **hasProof**: Indicates whether the theorem has a proof.
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- **proof**: The proof of the theorem.
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- **proofType**: The type of proof, term proof or tactic proof.
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- **proofLengthLines**: The length of the proof in lines.
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- **proofLengthTokens**: The length of the proof in tokens.
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In addition to individual entries, we also provide the link and git commit version of each split for evaluation:
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- Carleson: https://github.com/fpvandoorn/carleson, commit a5d265f109105809de4aaff16776b7c16b1c0bd5
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- ConNF: https://github.com/leanprover-community/con-nf, commit 51c38ad244870b8b1f40b8272b281678397dfa4f
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- FLT: https://github.com/ImperialCollegeLondon/FLT, commit 4a97c893071433d0d39cbf5261d0877f864c2189
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- Foundation: https://github.com/FormalizedFormalLogic/Foundation, commit 54324e6e009f0d0a288897312d3feb1c0165ad19
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- Mathlib: https://github.com/leanprover-community/mathlib4, tag v4.16.0
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- Seymour: https://github.com/Ivan-Sergeyev/seymour, commit 27c0384977032b693daca8c4fcfc5cc274e1f2d6
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miniCTX-v2 uses Lean version v4.16.0.
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## Citation
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Please cite:
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```
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@article{hu2024minictx,
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title={miniCTX: Neural Theorem Proving with (Long-) Contexts},
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author={Hu, Jiewen and Zhu, Thomas and Welleck, Sean},
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journal={arXiv preprint arXiv:2408.03350},
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year={2024}
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}
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```
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