README.md

---
license: apache-2.0
---

## Example Entry
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:

```lean
import Mathlib.Data.Real.Basic

/-!
# Square function
We define the squaring function `s : ℝ → ℝ` to be `s x := x * x`.
-/

def s (x : ℝ) : ℝ := x * x

lemma s_eq_pow_two {x : ℝ} : s x = x ^ 2 := by
  rw [s, pow_two]
```

The problem is formatted in JSON as follows:

```json
{
  "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",
  "theoremStatement": "lemma s_eq_pow_two {x : ℝ} : s x = x ^ 2",
  "theoremName": "s_eq_pow_two",
  "fileCreated": "(git commit)",
  "theoremCreated": "(git commit)",
  "file": "(file name)",
  "positionMetadata": {
    "lineInFile": 10,
    "tokenPositionInFile": 152,
    "theoremPositionInFile": 1
  },
  "dependencyMetadata": {
    "inFilePremises": true,
    "repositoryPremises": false
  },
  "proofMetadata": {
    "hasProof": true,
    "proof": "by\n  rw [s, pow_two]",
    "proofType": "tactic",
    "proofLengthLines": 2,
    "proofLengthTokens": 20
  }
}
```

### Description of Each Entry

- **srcContext**: The context of the source file preceding the theorem, including imports and relevant definitions. This provides necessary background to understand the theorem.
- **theoremStatement**: The statement of the theorem being proved.
- **theoremName**: The name of the theorem.
- **fileCreated**: The git commit hash indicating when the file was created.
- **theoremCreated**: The git commit hash indicating when the theorem was added.
- **file**: The name of the file containing the theorem.
- **positionMetadata**:
  - **lineInFile**: The line number in the file where the theorem is located.
  - **tokenPositionInFile**: The number of tokens in the file before the theorem starts.
  - **theoremPositionInFile**: The number of premises (definitions, theorems) before the theorem in the file.
- **dependencyMetadata**:
  - **inFilePremises**: Indicates whether the theorem uses definitions or lemmas defined in the same file.
  - **repositoryPremises**: Indicates whether the theorem uses definitions or lemmas defined in another file within the same repository.
- **proofMetadata**:
  - **hasProof**: Indicates whether the theorem has a proof.
  - **proof**: The proof of the theorem.
  - **proofType**: The type of proof, term proof or tactic proof.
  - **proofLengthLines**: The length of the proof in lines.
  - **proofLengthTokens**: The length of the proof in tokens.

In addition to individual entries, we also provide the link and git commit version of each split for evaluation:
- PrimeNumberTheoremAnd: https://github.com/AlexKontorovich/PrimeNumberTheoremAnd, commit 23650db830a45c227bd85d25d520725545192333
- PFR: https://github.com/teorth/pfr, commit 6aeed6ddf7dd02470b3196e44527a6f3d32e54cf
- Mathlib: https://github.com/leanprover-community/mathlib4, commit f4b4298bd76b82f7b28f0fb6b5ab92bdf5e5634d
- HTPI: We use the fork https://github.com/hanwenzhu/HTPILeanPackage4.7, commit 8eeebaec8d7fa17b5fe9d97589839ca2560e3ce2

## Citation

Please cite:
```
@misc{hu2024minictx,
  title={miniCTX: Neural Theorem Proving with (Long-)Contexts}, 
  author={Jiewen Hu and Thomas Zhu and Sean Welleck},
  year={2024},
  eprint={2408.03350},
  archivePrefix={arXiv},
  primaryClass={cs.AI},
  url={https://arxiv.org/abs/2408.03350}, 
}
```