---
license: other
language:
- en
task_categories:
- text-generation
tags:
- math
- proofs
- reasoning
- rollouts
- sample
- example
- llm-judge
size_categories:
- n<1K
configs:
- config_name: default
  data_files:
  - split: train
    path: data/train-*.parquet
---

# SODA FA-0 + Luna — 10-row format sample

A tiny, **public** 10-row sample to illustrate the **data format** of the (private) full dataset
**[`HerrHruby/soda_fa0_luna`](https://huggingface.co/datasets/HerrHruby/soda_fa0_luna)**.
Use it to understand the schema before requesting/loading the full set — it is **not** meant for
training or evaluation.

Each row is one **FA-0** rollout (a model's direct final answer, no exploration) on a SODA-2026
proof problem, graded by **GPT-5.6-Luna** against a per-problem rubric.

> ⚠️ **Long text fields are truncated in this sample.** `thinking`, `answer`, `luna_rubric`,
> `luna_explanation`, and `problem` are cut (with a `… [truncated for sample — full text (N chars) …]`
> marker) so the file stays small and readable. The full dataset has them untruncated — real
> `thinking`/`answer` can be tens of thousands of characters (and when a rollout never closes
> `</think>`, the whole runaway generation lands in `answer`).

## These 10 rows cover
- both categories — **6 `proof_writing`, 4 `proof_strategy`**
- both rubric maxes — **`luna_max_score` 7 and 8**
- **8 graded** (`luna_concluded=True`) + **2 not** — one `no_think_close` auto-zero and one
  score-parse failure (rubric text present, numeric score null)
- a reward spread: `luna_reward` ∈ {0.0 (incl. a *graded* zero), 0.357, 0.375, 0.429, 0.857, 1.0}

## Columns

| column | type | description |
|---|---|---|
| `problem_id` | str | `train:<i>` — stable id (8 samples share it in the full set) |
| `sample_idx` | int | FA-0 sample index |
| `source` | str | `SODA` |
| `category` | str | `proof_writing` or `proof_strategy` |
| `problem` | str | the problem statement |
| `thinking` | str | model reasoning (the `<think>` content) |
| `answer` | str | the final answer / written proof (after `</think>`) |
| `luna_score` | int? | rubric points earned (null on parse-failure) |
| `luna_max_score` | int? | rubric max, **7 or 8** (null if auto-zeroed) |
| `luna_reward` | float | normalized `[0,1]` = `luna_score / luna_max_score`, else `0.0` |
| `luna_concluded` | bool | True if the answer closed `</think>` and got a real rubric grade |
| `luna_auto_reason` | str? | `no_think_close` when auto-zeroed (else null) |
| `luna_rubric` | str | Luna's rubric-by-rubric grading (`raw_judge`) |
| `luna_explanation` | str | Luna's free-form explanation (distinct from the rubric) |
| `problem_luna_mean` | float | mean `luna_reward` over the problem's 8 samples (full set) |
| `problem_oss_mean` | float | per-problem gpt-oss-120b mean (gated selection into the Luna pool) |
| `n_layers_completed` | int | 0 (FA-0) |
| `termination_reason` | str | e.g. `max_layers` |
| `wall_time_s` | float | rollout wall-clock |

## Load

```python
from datasets import load_dataset
ds = load_dataset("HerrHruby/soda_fa0_luna_sample", split="train")   # public, 10 rows
print(ds[0])
```