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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    CastError
Message:      Couldn't cast
call_id: string
tree: string
problem: string
option: string
role: string
obligation: string
claude_session_id: string
t0: double
t1: double
request: struct<model: string, max_tokens: int64, metadata: struct<user_id: string>, stream: bool, system: st (... 82 chars omitted)
  child 0, model: string
  child 1, max_tokens: int64
  child 2, metadata: struct<user_id: string>
      child 0, user_id: string
  child 3, stream: bool
  child 4, system: string
  child 5, thinking: struct<type: string>
      child 0, type: string
  child 6, tools: string
  child 7, messages: list<item: string>
      child 0, item: string
chat_template_kwargs: struct<enable_thinking: bool>
  child 0, enable_thinking: bool
output: struct<reasoning: string, text: string, tool_calls: list<item: struct<id: string, name: string, argu (... 201 chars omitted)
  child 0, reasoning: string
  child 1, text: string
  child 2, tool_calls: list<item: struct<id: string, name: string, arguments: string>>
      child 0, item: struct<id: string, name: string, arguments: string>
          child 0, id: string
          child 1, name: string
          child 2, arguments: string
  child 3, finish_reason: string
  child 4, usage: struct<prompt_tokens: int64, total_tokens: int64, completion_tokens: int64, prompt_tokens_details: s (... 53 chars omitted)
      child 0, prompt_tokens: int64
      child 1, total_tokens: int64
      child 2, completion_tokens: int64
      child 3, prompt_tokens_details: struct<cached_tokens: int64>
          child 0, cached_tokens: int64
      child 4, reasoning_tokens: int64
error: null
topk: int64
logprobs: list<item: list<item: string>>
  child 0, item: list<item: string>
      child 0, item: string
v: null
h: string
to
{'h': Value('string'), 'v': Json(decode=True)}
because column names don't match
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1835, in _prepare_split_single
                  for key, table in generator:
                                    ^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 621, in wrapped
                  for item in generator(*args, **kwargs):
                              ~~~~~~~~~^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 361, in _generate_tables
                  self._cast_table(pa_table, json_field_paths=json_field_paths),
                  ~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 132, in _cast_table
                  pa_table = table_cast(pa_table, self.info.features.arrow_schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2381, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2309, in cast_table_to_schema
                  raise CastError(
                  ...<3 lines>...
                  )
              datasets.table.CastError: Couldn't cast
              call_id: string
              tree: string
              problem: string
              option: string
              role: string
              obligation: string
              claude_session_id: string
              t0: double
              t1: double
              request: struct<model: string, max_tokens: int64, metadata: struct<user_id: string>, stream: bool, system: st (... 82 chars omitted)
                child 0, model: string
                child 1, max_tokens: int64
                child 2, metadata: struct<user_id: string>
                    child 0, user_id: string
                child 3, stream: bool
                child 4, system: string
                child 5, thinking: struct<type: string>
                    child 0, type: string
                child 6, tools: string
                child 7, messages: list<item: string>
                    child 0, item: string
              chat_template_kwargs: struct<enable_thinking: bool>
                child 0, enable_thinking: bool
              output: struct<reasoning: string, text: string, tool_calls: list<item: struct<id: string, name: string, argu (... 201 chars omitted)
                child 0, reasoning: string
                child 1, text: string
                child 2, tool_calls: list<item: struct<id: string, name: string, arguments: string>>
                    child 0, item: struct<id: string, name: string, arguments: string>
                        child 0, id: string
                        child 1, name: string
                        child 2, arguments: string
                child 3, finish_reason: string
                child 4, usage: struct<prompt_tokens: int64, total_tokens: int64, completion_tokens: int64, prompt_tokens_details: s (... 53 chars omitted)
                    child 0, prompt_tokens: int64
                    child 1, total_tokens: int64
                    child 2, completion_tokens: int64
                    child 3, prompt_tokens_details: struct<cached_tokens: int64>
                        child 0, cached_tokens: int64
                    child 4, reasoning_tokens: int64
              error: null
              topk: int64
              logprobs: list<item: list<item: string>>
                child 0, item: list<item: string>
                    child 0, item: string
              v: null
              h: string
              to
              {'h': Value('string'), 'v': Json(decode=True)}
              because column names don't match
              
              The above exception was the direct cause of the following exception:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1379, in compute_config_parquet_and_info_response
                  parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
                                                                        ~~~~~~~~~~~~~~~~~~~~~~~~~^
                      builder, max_dataset_size_bytes=max_dataset_size_bytes
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  )
                  ^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 956, in stream_convert_to_parquet
                  builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
                  ~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1702, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                                               ~~~~~~~~~~~~~~~~~~~~~~~~~~^
                      gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  ):
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1887, in _prepare_split_single
                  raise DatasetGenerationError("An error occurred while generating the dataset") from e
              datasets.exceptions.DatasetGenerationError: An error occurred while generating the dataset

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h
string
v
unknown
3ac10002270a8a6f1bc0d38d
[ { "text": "x-anthropic-billing-header: cc_version=2.1.308.4b6; cc_entrypoint=sdk-cli;", "type": "text" }, { "text": "You are a Claude agent, built on Anthropic's Claude Agent SDK.", "type": "text" }, { "text": "\nYou are an agent working with the user toward their goals, using your own j...
9c7028e744edc69de7d810b4
[ { "description": "Launch a new agent to handle complex, multi-step tasks. Each agent type has specific capabilities and tools available to it.\n\nAvailable agent types are listed in <system-reminder> messages in the conversation.\n\nWhen using the Agent tool, specify a subagent_type to select an agent: `\"fork\...
35666716e3e606b24f82ab22
{ "content": [ { "text": "<system-reminder>\nCodebase and user instructions are shown below. Be sure to adhere to these instructions. IMPORTANT: These instructions OVERRIDE any default behavior and you MUST follow them exactly as written.\n\nContents of /home/ubuntu/lot-data/runs/zyq2-imo25-p1/imo_2025_p1/....
d3051d6c2442b0c8e48d48dd
{ "content": [ { "text": "# Environment\nYou have been invoked in the following environment: \n - Primary working directory: /home/ubuntu/lot-data/runs/zyq2-imo25-p1/imo_2025_p1/.hmz/lot/runs/x0003/hmz/home/envs/mirrors/lotsw-zyq2-imo25-p1-baaca6-remote-47613b20/2da410f76a93\n - Is a git repository: true\n ...
970798d9e63fe01134a0481c
[ { "text": "x-anthropic-billing-header: cc_version=2.1.308.4b6; cc_entrypoint=sdk-cli;", "type": "text" }, { "text": "You are a Claude agent, built on Anthropic's Claude Agent SDK.", "type": "text" }, { "text": "\nYou are an agent working with the user toward their goals, using your own j...
5b9b8821987d32aa85abb7fc
{ "content": [ { "text": "<system-reminder>\nCodebase and user instructions are shown below. Be sure to adhere to these instructions. IMPORTANT: These instructions OVERRIDE any default behavior and you MUST follow them exactly as written.\n\nContents of /home/ubuntu/lot-data/runs/zyq2-imo25-p1/imo_2025_p1/....
d263450fc52f7a39e7fd5358
{ "content": [ { "text": "# Environment\nYou have been invoked in the following environment: \n - Primary working directory: /home/ubuntu/lot-data/runs/zyq2-imo25-p1/imo_2025_p1/.hmz/lot/runs/x0001/hmz/home/envs/mirrors/lotsw-zyq2-imo25-p1-baaca6-remote-1479741c/bdc982ee1a8c\n - Is a git repository: true\n ...
3bd4c106b7b3abfead36d18f
[ { "text": "x-anthropic-billing-header: cc_version=2.1.308.4b6; cc_entrypoint=sdk-cli;", "type": "text" }, { "text": "You are a Claude agent, built on Anthropic's Claude Agent SDK.", "type": "text" }, { "text": "\nYou are an agent working with the user toward their goals, using your own j...
c75fe32cc54d7c8fa0502fb9
{ "content": [ { "text": "<system-reminder>\nCodebase and user instructions are shown below. Be sure to adhere to these instructions. IMPORTANT: These instructions OVERRIDE any default behavior and you MUST follow them exactly as written.\n\nContents of /home/ubuntu/lot-data/runs/zyq2-imo25-p1/imo_2025_p1/....
35976323051c68eeb1d77b95
{ "content": [ { "text": "# Environment\nYou have been invoked in the following environment: \n - Primary working directory: /home/ubuntu/lot-data/runs/zyq2-imo25-p1/imo_2025_p1/.hmz/lot/runs/x0002/hmz/home/envs/mirrors/lotsw-zyq2-imo25-p1-baaca6-remote-02fa0ebf/c90807455c40\n - Is a git repository: true\n ...
7374f3ef17d8cbbc86dc3439
{ "content": "# Environment\nYou have been invoked in the following environment: \n - Primary working directory: /home/ubuntu/lot-data/runs/zyq2-imo25-p1/imo_2025_p1/.hmz/lot/runs/x0001/hmz/home/envs/mirrors/lotsw-zyq2-imo25-p1-baaca6-remote-1479741c/bdc982ee1a8c\n - Is a git repository: true\n - Additional working d...
764b2d04e62d2cdf8da003ba
{ "content": [ { "signature": "", "thinking": "Let's start by reading the brief and understanding the task.\n", "type": "thinking" }, { "id": "call_2452c4d90b8346acbbef23ec", "input": { "file_path": "/home/ubuntu/lot-data/runs/zyq2-imo25-p1/imo_2025_p1/.hmz/lot/runs/x...
e4374c33f50e01fa4deb4cb8
{ "content": [ { "content": "1\t# Prove root\n2\t\n3\tThe whole tree ends at 2026-10-25T06:56Z (47h59m from now).\n4\t\n5\t## The obligation\n6\t\n7\t`root` is the whole problem: define and prove every hole of it.\n8\t\n9\t- `Submission.IMO2025P1.result`\n10\t- `Submission.IMO2025P1.answer`\n11\t\n12\tModul...
dec6910b93590309109bf876
{ "content": "# Environment\nYou have been invoked in the following environment: \n - Primary working directory: /home/ubuntu/lot-data/runs/zyq2-imo25-p1/imo_2025_p1/.hmz/lot/runs/x0003/hmz/home/envs/mirrors/lotsw-zyq2-imo25-p1-baaca6-remote-47613b20/2da410f76a93\n - Is a git repository: true\n - Additional working d...
b10f20da5f6e1b2c350e17d0
{ "content": [ { "signature": "", "thinking": "To understand the task, let's first read the BRIEF.md file.\n", "type": "thinking" }, { "id": "call_062dfee4e2ed43099ab3d75e", "input": { "file_path": "/home/ubuntu/lot-data/runs/zyq2-imo25-p1/imo_2025_p1/.hmz/lot/runs/x0...
da6ee9c9b605fcc39651159d
{ "content": [ { "content": "1\t# Prove root\n2\t\n3\tThe whole tree ends at 2026-10-25T06:56Z (47h59m from now).\n4\t\n5\t## The obligation\n6\t\n7\t`root` is the whole problem: define and prove every hole of it.\n8\t\n9\t- `Submission.IMO2025P1.result`\n10\t- `Submission.IMO2025P1.answer`\n11\t\n12\tModul...
66bf94505f1e2018f532a852
{ "content": "# Environment\nYou have been invoked in the following environment: \n - Primary working directory: /home/ubuntu/lot-data/runs/zyq2-imo25-p1/imo_2025_p1/.hmz/lot/runs/x0002/hmz/home/envs/mirrors/lotsw-zyq2-imo25-p1-baaca6-remote-02fa0ebf/c90807455c40\n - Is a git repository: true\n - Additional working d...
3d68e40f0cdf09c09f40b18b
{ "content": [ { "signature": "", "thinking": "Let's start by reading the brief to understand the task.\n", "type": "thinking" }, { "id": "call_3d3bd79137964a7d9e711f0d", "input": { "file_path": "/home/ubuntu/lot-data/runs/zyq2-imo25-p1/imo_2025_p1/.hmz/lot/runs/x0002...
9c5ac2e8eb22aa4353674c1a
{ "content": [ { "content": "1\t# Split root into smaller obligations\n2\t\n3\tThe whole tree ends at 2026-10-25T06:56Z (47h59m from now).\n4\t\n5\t## The obligation\n6\t\n7\t`root` is the whole problem: define and prove every hole of it.\n8\t\n9\t- `Submission.IMO2025P1.result`\n10\t- `Submission.IMO2025P1...
71535b6b75ee56ab126d2d80
{ "content": [ { "signature": "", "thinking": "This is the IMO 2025 Problem 1 task. First, let's read the problem files: README.md, Challenge.lean, ChallengeDeps.lean, holes.json, config.json, and the current state of the submission.\n\nFirst, I'll run `lot sync` as instructed, and check the files.\n"...
e8b518b7652e7fc6976f21ad
{ "content": [ { "content": "/bin/bash: line 1: lot: command not found", "is_error": false, "tool_use_id": "call_3ef9fa5bb4b34ba893fa37ab", "type": "tool_result" }, { "content": "AGENTS.md\nCLAUDE.md\nChallenge.lean\nChallengeDeps.lean\nPROBLEM.md\nREADME.md\nSolution.lean\nS...
b3a5f1aa7c0e7e5a0dbcc0e5
{ "content": [ { "signature": "", "thinking": "`lot` is not on PATH. Let me check where it is. It might be in a different location.\n", "type": "thinking" }, { "id": "call_da6e184e6da040b9bb1b480c", "input": { "command": "which lot; ls /home/ubuntu/lean-runs/ 2>/dev/n...
End of preview.

hmz-logits: IMO 2025 P1, P2, P4, P5, Qwen3.8-27B on LOT, with top-100 logprobs

Agent trajectories of the four IMO 2025 problems that Qwen3.8-27B-FP8 solved in Lean 4 on the LOT (Lean Option Tree, hmz-prover-dev changye-lot 00dfd46, LOT 4.4) workflow, with Claude Code as the agent harness and every model call served by Qwen. For every generated token the top-100 logprobs (log-softmax over the vocabulary, as sglang returns them; not raw logits) were recorded at sampling time.

Problem Tree Answer (checked by hand against the official one) Root accepted Run time* LOT sessions Qwen calls Generated tokens
IMO 2025 P1 IMO2025-P1 fun _ => {0, 1, 3} 2026-10-25 00:50Z 41.9 h 65 7,357 18.3 M
IMO 2025 P2 IMO2025-P2 (a proof, no answer to find) 2026-10-26 14:12Z 44.2 h 34 6,370 16.8 M
IMO 2025 P4 IMO2025-P4 {n | 6∣n ∧ 5∤n ∧ v₂(n) odd ∧ 2·v₃(n) ≥ v₂(n)+1} (= 12ᵉ·6·l, l coprime to 10) 2026-10-24 12:26Z 29.5 h 32 2,775 8.8 M
IMO 2025 P5 IMO2025-P5 ({c | c > 1/√2}, {c | c < 1/√2}) (who has a winning strategy: first player, second player) 2026-10-26 07:27Z 37.4 h 47 4,039 14.0 M

* From the tree's start to root acceptance, without the 35.1 h P2 and P5 were paused (10-23 14:59Z to 10-25 02:04Z).

All four were solved by decomposition, not by one session: P4's root was split into 5 lemmas, each proved by a single session (two of them after a deeper split was started); P1 was split 12 times down to depth 4, its leaves proved one by one; P5 was split into the four strategy claims (first/second player wins or not on each side of 1/√2), two of them down to depth 4; P2 (geometry) proved its tangency step by coordinates, split down to depth 3. Each proof passed the problem's trusted checker (official comparator, Lean kernel and nanoda replay) and LOT's FINAL review.

Setup

  • Statements: Joseph Myers' Lean statements of IMO 2025 (github.com/jsm28/IMOLean f6515f0118), ported from Lean 4.35's module syntax to import Mathlib, otherwise unchanged; Lean 4.33.0, Mathlib 6f1ef4e5. answer is a definition hole: the model had to find the answer.
  • Model: Qwen/Qwen3.8-27B-FP8 on one RTX PRO 6000 (sglang 0.5.22, reasoning parser qwen3, tool parser qwen3_coder), at the server's default reasoning effort (xhigh); Claude Code 2.1.308 with Qwen in every model slot, 64k output cap.
  • Logprobs: a relay between Claude Code and sglang ran sglang's own Anthropic adapter and called /v1/chat/completions with logprobs=true, top_logprobs=100, recorded the reply and passed it on without the logprobs (verified to give the same prompts and, at temperature 0, the same outputs as the server's own /v1/messages).
  • LOT: one model in both slots, 2 PROVE + 1 DEC sessions at a time, split reviews and FINAL 3 h.

Layout

imo2025-qwen3.8-27b-lot/
  trees.jsonl                    one line per tree (problem, times, counts)
  <tree>/
    sessions.jsonl               one line per LOT session (option): role (prove/dec/aud/final), obligation,
                                 status/reason, started/ended, Claude session ids, calls and tokens
    calls/calls-<hour>.jsonl.zst one line per Qwen call (one file per hour of the run)
    blobs.jsonl.zst              messages, system prompts and tool lists by hash: {"h": hash, "v": value}
    transcripts/<id>.jsonl       Claude Code's own transcript of each session (and its subagents)
    meta/                        LOT's records: tree.json (obligations, splits, options), events.jsonl, ...
scripts/read_calls.py            reading example

A call (calls/*.jsonl.zst):

Field Meaning
call_id, t0, t1 the call and its start/end (unix seconds)
tree, problem, option, role, obligation the LOT session it belongs to
claude_session_id the Claude Code session (= transcripts/<id>.jsonl)
request the Anthropic Messages request: messages (list of blob hashes), system, tools (blob hashes), max_tokens, thinking, metadata
chat_template_kwargs what reached the chat template (enable_thinking)
output reasoning (thinking text), text, tool_calls [{id, name, arguments}], finish_reason, usage
error null, or why the call did not finish (e.g. {"cancelled": true} when the client went away)
topk, logprobs 100, and one entry per generated token (thinking, text and tool-call tokens alike): [token, logprob, [[candidate, logprob], ... 100]]

Rebuild a call's prompt with blobs.jsonl.zst (see scripts/read_calls.py). Calls that were cut off or cancelled are kept (with whatever was generated); len(logprobs) equals the generated token count of every finished call.

Notes

  • Paths, host names and node names inside the transcripts are those of the run's containers.
  • No credentials: Claude Code ran without an Anthropic sign-in (the relay's dummy token), and the files were scanned for key-shaped strings before upload.
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