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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    TypeError
Message:      Couldn't cast array of type string to null
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1816, in _prepare_split_single
                  for key, table in generator:
                                    ^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 613, in wrapped
                  for item in generator(*args, **kwargs):
                              ~~~~~~~~~^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 343, 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 2369, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2303, in cast_table_to_schema
                  cast_array_to_feature(
                  ~~~~~~~~~~~~~~~~~~~~~^
                      table[name] if name in table_column_names else pa.array([None] * len(table), type=schema.field(name).type),
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                      feature,
                      ^^^^^^^^
                  )
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 1852, in wrapper
                  return pa.chunked_array([func(chunk, *args, **kwargs) for chunk in array.chunks])
                                           ~~~~^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2143, in cast_array_to_feature
                  return array_cast(
                      array,
                  ...<2 lines>...
                      allow_decimal_to_str=allow_decimal_to_str,
                  )
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 1854, in wrapper
                  return func(array, *args, **kwargs)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2005, in array_cast
                  raise TypeError(f"Couldn't cast array of type {_short_str(array.type)} to {_short_str(pa_type)}")
              TypeError: Couldn't cast array of type string to null
              
              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 1369, 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 948, 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 1683, 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 1869, 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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run
string
qid
string
dataset
string
rg_task
null
gold
string
sample_index
int64
answer
string
correct
bool
truncated
bool
n_tokens
int64
trace_text
string
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
0
null
false
false
3,978
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ We are looking for the value of $\left|\log_2(x^4y^3z^2)\right|$. First, let's convert the logarithmic equations into expone...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
1
null
false
false
5,145
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ We are given that $x, y, z$ are positive real numbers. Let's convert these logarithmic equations into exponential form. From...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
2
33
true
false
7,879
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ We are given that $x, y, z$ are positive real numbers. We can convert these logarithmic equations into exponential form. Fr...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
3
null
false
false
5,249
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ We are given that $x, y, z$ are positive real numbers. Let's convert these logarithmic equations into exponential form. From...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
4
33
true
false
5,157
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ We are given that $x, y, z$ are positive real numbers. We can rewrite these logarithmic equations in exponential form. From ...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
5
null
false
false
5,397
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ where $x, y, z$ are positive real numbers. We need to find the value of $|\log_2(x^4y^3z^2)|$. First, let's convert the loga...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
6
33
true
false
7,063
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ We are given that $x, y, z$ are positive real numbers. First, convert the logarithmic equations into exponential form. From...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
7
null
false
false
4,855
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ We are given that $x, y, z$ are positive real numbers. We can convert these logarithmic equations into exponential form. Fro...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
8
null
false
false
4,889
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ We are given that $x, y, z$ are positive real numbers. First, let's convert these logarithmic equations into exponential for...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
9
33
true
false
6,470
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ where $x, y, z$ are positive real numbers. We need to find the value of $|\log_2(x^4y^3z^2)|$. First, let's convert the loga...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
10
33
true
false
4,212
Let the given system of equations be (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ where $x, y, z$ are positive real numbers. We need to find the value of $\left|\log_2(x^4y^3z^2)\right|$. Step 1: Convert the...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
11
null
false
false
6,262
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ We are given that $x, y, z$ are positive real numbers. We can convert the logarithmic equations into exponential form. From ...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
12
33
true
false
4,526
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ We are given that $x, y, z$ are positive real numbers. Let's convert these logarithmic equations into exponential form. From...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
13
33
true
false
4,839
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ where $x, y, z$ are positive real numbers. We need to find the value of $\left|\log_2(x^4y^3z^2)\right|$. First, let's conve...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
14
33
true
false
4,045
Let the given system of equations be: (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ where $x, y, z$ are positive real numbers. We need to find the value of $\left|\log_2(x^4y^3z^2)\right|$. First, let's conve...
base_gemma-4-e2b_aime24_25
aime24-2024-II-4
aime24
null
33
15
33
true
false
4,902
Let the given system of equations be (1) $\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}$ (2) $\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}$ (3) $\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}$ where $x, y, z$ are positive real numbers. First, let's convert these logarithmic equations into exponential form. From (1): ...
base_gemma-4-e2b_aime24_25
aime24-2024-II-12
aime24
null
23
0
null
false
false
11,708
Let $O=(0,0)$, $A=(\frac{1}{2}, 0)$, and $B=(0, \frac{\sqrt{3}}{2})$. The segment $\overline{AB}$ connects $A$ and $B$. $A$ is on the $x$-axis, $B$ is on the $y$-axis. The line segment $AB$ is part of the line connecting $A$ and $B$. The equation of the line passing through $A$ and $B$ is $\frac{x}{1/2} + \frac{y}{\sqr...
base_gemma-4-e2b_aime24_25
aime24-2024-II-12
aime24
null
23
1
null
false
false
11,241
Let the given points be $O(0,0)$, $A(\frac{1}{2}, 0)$, and $B(0, \frac{\sqrt{3}}{2})$. These points form a triangle $OAB$. $OA = 1/2$, $OB = \sqrt{3}/2$. The angle $\angle AOB$ is $90^\circ$. $OA^2 + OB^2 = (1/2)^2 + (\sqrt{3}/2)^2 = 1/4 + 3/4 = 1$. So $\triangle OAB$ is a right isosceles triangle, and $AB = \sqrt{(1/2...
End of preview.

Wrong-Reasoning Trace Bank (Completeness Cliff)

Model-generated reasoning traces used as the injection material for the pilot study "The completeness cliff: language models escape wrong reasoning until it's finished." Each row is one sampled baseline rollout, kept so its reasoning can be spliced back into a fresh prompt to test whether a model can still recover the correct answer (pass@k).

What is here

One JSONL file per baseline run (data/base_<model>_<dataset>.jsonl). The correct == false rows are the self_wrong injection source (the model's own wrong reasoning); the correct == true rows feed the corrupted source (a correct scaffold with numbers perturbed near the cut) and serve as irrelevant / cross-domain donors for other questions.

Schema

field type meaning
run string baseline run this rollout came from
qid string question id (e.g. aime25-3)
dataset string aime24_25, rg_maze, rg_mini_sudoku
rg_task string/null reasoning-gym task name, if applicable
gold string correct answer
sample_index int which of the N=16 samples
answer string the model's extracted answer for this sample
correct bool whether answer matched gold
truncated bool hit the generation length cap
n_tokens int generated token count
trace_text string the reasoning channel (a reasoning model's <think> content; an instruct model's response). This is what gets injected.

Models and problems

model kind AIME 24+25 reasoning-gym
Qwen3-4B-Thinking-2507 reasoning yes maze, mini-sudoku
Qwen3-4B-Instruct-2507 instruct (matched sibling) yes (+ a 32k-budget rerun) maze
Gemma-4-E2B-it hybrid (cross-family) yes maze

N = 16 samples per question, official card-recommended sampling, vLLM. Per-run baseline metrics (pass@k, adoption, truncation, token counts) are in baseline_summaries.json.

Load

from datasets import load_dataset
ds = load_dataset("AZH04/wrong-reasoning-traces", split="train")
wrong = ds.filter(lambda r: not r["correct"])   # the self_wrong injection traces

Or a single run directly:

import json
rows = [json.loads(l) for l in open("data/base_qwen3-4b-thinking_aime24_25.jsonl")]

Notes

  • Only distilled fields are kept. The full raw rollouts (with the post-think answer text and token-level metadata, ~2.4 GB) are not published here; this bank preserves the injectable reasoning and is regenerable from the code repo.
  • Question text is not redistributed; rows reference AIME problems by qid and include the gold answer only. AIME problems are the property of the Mathematical Association of America.
  • Traces are outputs of Qwen3 (Apache-2.0) and Gemma (Gemma Terms of Use) models. The dataset card and structure are released CC-BY-4.0; model outputs are subject to the source models' terms.

Citation

If you use this, please cite the project:

@misc{zhang2026completenesscliff,
  title        = {The completeness cliff: language models escape wrong reasoning until it's finished},
  author       = {Zhang, Alvin},
  year         = {2026},
  howpublished = {\url{https://alvinzh04.github.io/blog/completeness-cliff.html}},
  note         = {wrong\_reason notes}
}
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