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Add exact-scored O(3) tensor product benchmark #12

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11 changes: 11 additions & 0 deletions README.md
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Expand Up @@ -198,12 +198,23 @@ python scripts/run_proofnet.py test --model leanstral --repo-path ./proofnet --
# ProofBench
python scripts/run_proofbench.py --model leanstral --repo-path ./miniF2F --max-time 10m

# O(3) irreps tensor products (informal proof + exact symbolic scoring)
python scripts/run_irreps_tensor_product.py --list
python scripts/run_irreps_tensor_product.py --split easy --limit 4 --model leanstral --max-time 10m

# Run a single problem
python scripts/run_minif2f.py valid --problem mathd_algebra_182 --model leanstral --repo-path ./miniF2F
```

Use `--informal` to skip Lean verification (faster but scores are not meaningful).

The O(3) irreps benchmark is intentionally different from the Lean-verified
benchmarks above. Each problem asks for a short tensor-product decomposition,
and the runner scores exactly one labelled `FINAL ANSWER:` line from
`PROOF.md` against a deterministic integer/parity oracle. The bundled JSONL
contains a small sample; pass `--dataset PATH` to evaluate a larger compatible
dataset without adding it to this repository.

## Planner actions

Each step, the planner chooses one action:
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12 changes: 12 additions & 0 deletions examples/irreps_tensor_product.jsonl
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{"id":"o3-easy-000","split":"easy","left":"0e","right":"0o","answer":"0o"}
{"id":"o3-easy-001","split":"easy","left":"0e","right":"4o","answer":"4o"}
{"id":"o3-easy-002","split":"easy","left":"1o","right":"1o","answer":"0e + 1e + 2e"}
{"id":"o3-easy-003","split":"easy","left":"2e","right":"3o","answer":"1o + 2o + 3o + 4o + 5o"}
{"id":"o3-medium-000","split":"medium","left":"4o","right":"2o","answer":"2e + 3e + 4e + 5e + 6e"}
{"id":"o3-medium-001","split":"medium","left":"3e","right":"5e","answer":"2e + 3e + 4e + 5e + 6e + 7e + 8e"}
{"id":"o3-medium-002","split":"medium","left":"5o","right":"5o","answer":"0e + 1e + 2e + 3e + 4e + 5e + 6e + 7e + 8e + 9e + 10e"}
{"id":"o3-medium-003","split":"medium","left":"6e","right":"3o","answer":"3o + 4o + 5o + 6o + 7o + 8o + 9o"}
{"id":"o3-hard-000","split":"hard","left":"8o","right":"5e","answer":"3o + 4o + 5o + 6o + 7o + 8o + 9o + 10o + 11o + 12o + 13o"}
{"id":"o3-hard-001","split":"hard","left":"7o","right":"9o","answer":"2e + 3e + 4e + 5e + 6e + 7e + 8e + 9e + 10e + 11e + 12e + 13e + 14e + 15e + 16e"}
{"id":"o3-hard-002","split":"hard","left":"10e","right":"8o","answer":"2o + 3o + 4o + 5o + 6o + 7o + 8o + 9o + 10o + 11o + 12o + 13o + 14o + 15o + 16o + 17o + 18o"}
{"id":"o3-hard-003","split":"hard","left":"12o","right":"12o","answer":"0e + 1e + 2e + 3e + 4e + 5e + 6e + 7e + 8e + 9e + 10e + 11e + 12e + 13e + 14e + 15e + 16e + 17e + 18e + 19e + 20e + 21e + 22e + 23e + 24e"}
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