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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    CastError
Message:      Couldn't cast
schema_version: int64
problem_id: string
final_source: string
selected_proof_id: string
final_proof: string
mean_verifier_score: double
valid_verification_count: int64
self_score: double
rounds_completed: int64
proofs_in_pool: int64
calls_completed: int64
physical_requests_completed: int64
valid_verifications_completed: int64
invalid_verifications_completed: int64
latency_s: double
cached_prompt_tokens: int64
segments: list<item: struct<kind: string, request_id: string, finish_reason: string, prompt_tokens: int64, cac (... 157 chars omitted)
  child 0, item: struct<kind: string, request_id: string, finish_reason: string, prompt_tokens: int64, cached_prompt_ (... 145 chars omitted)
      child 0, kind: string
      child 1, request_id: string
      child 2, finish_reason: string
      child 3, prompt_tokens: int64
      child 4, cached_prompt_tokens: int64
      child 5, completion_tokens: int64
      child 6, reasoning_tokens: null
      child 7, requested_max_completion_tokens: int64
      child 8, latency_s: double
      child 9, stream_aborted: bool
reasoning_content: string
reasoning_tokens: null
prompt_tokens: int64
stage: string
xml_valid: bool
prompt_sha256: string
stop_reason: string
sample_id: string
logical_max_completion_tokens: int64
seed: int64
xml_error: null
requested_max_completion_tokens: int64
stream_aborted: bool
salvaged: bool
finish_reason: string
physical_prompt_tokens: int64
content: string
error: null
completion_tokens: int64
physical_request_count: int64
verification_disposition: string
to
{'sample_id': Value('string'), 'stage': Value('string'), 'seed': Value('int64'), 'prompt_sha256': Value('string'), 'content': Value('string'), 'reasoning_content': Value('string'), 'finish_reason': Value('string'), 'prompt_tokens': Value('int64'), 'cached_prompt_tokens': Value('int64'), 'completion_tokens': Value('int64'), 'reasoning_tokens': Value('null'), 'requested_max_completion_tokens': Value('int64'), 'logical_max_completion_tokens': Value('int64'), 'physical_request_count': Value('int64'), 'physical_prompt_tokens': Value('int64'), 'segments': List({'kind': Value('string'), 'request_id': Value('string'), 'finish_reason': Value('string'), 'prompt_tokens': Value('int64'), 'cached_prompt_tokens': Value('int64'), 'completion_tokens': Value('int64'), 'reasoning_tokens': Value('null'), 'requested_max_completion_tokens': Value('int64'), 'latency_s': Value('float64'), 'stream_aborted': Value('bool')}), 'latency_s': Value('float64'), 'stop_reason': Value('string'), 'stream_aborted': Value('bool'), 'salvaged': Value('bool'), 'xml_valid': Value('bool'), 'xml_error': Value('null'), 'error': Value('null'), 'verification_disposition': Value('string')}
because column names don't match
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 2297, in cast_table_to_schema
                  raise CastError(
                  ...<3 lines>...
                  )
              datasets.table.CastError: Couldn't cast
              schema_version: int64
              problem_id: string
              final_source: string
              selected_proof_id: string
              final_proof: string
              mean_verifier_score: double
              valid_verification_count: int64
              self_score: double
              rounds_completed: int64
              proofs_in_pool: int64
              calls_completed: int64
              physical_requests_completed: int64
              valid_verifications_completed: int64
              invalid_verifications_completed: int64
              latency_s: double
              cached_prompt_tokens: int64
              segments: list<item: struct<kind: string, request_id: string, finish_reason: string, prompt_tokens: int64, cac (... 157 chars omitted)
                child 0, item: struct<kind: string, request_id: string, finish_reason: string, prompt_tokens: int64, cached_prompt_ (... 145 chars omitted)
                    child 0, kind: string
                    child 1, request_id: string
                    child 2, finish_reason: string
                    child 3, prompt_tokens: int64
                    child 4, cached_prompt_tokens: int64
                    child 5, completion_tokens: int64
                    child 6, reasoning_tokens: null
                    child 7, requested_max_completion_tokens: int64
                    child 8, latency_s: double
                    child 9, stream_aborted: bool
              reasoning_content: string
              reasoning_tokens: null
              prompt_tokens: int64
              stage: string
              xml_valid: bool
              prompt_sha256: string
              stop_reason: string
              sample_id: string
              logical_max_completion_tokens: int64
              seed: int64
              xml_error: null
              requested_max_completion_tokens: int64
              stream_aborted: bool
              salvaged: bool
              finish_reason: string
              physical_prompt_tokens: int64
              content: string
              error: null
              completion_tokens: int64
              physical_request_count: int64
              verification_disposition: string
              to
              {'sample_id': Value('string'), 'stage': Value('string'), 'seed': Value('int64'), 'prompt_sha256': Value('string'), 'content': Value('string'), 'reasoning_content': Value('string'), 'finish_reason': Value('string'), 'prompt_tokens': Value('int64'), 'cached_prompt_tokens': Value('int64'), 'completion_tokens': Value('int64'), 'reasoning_tokens': Value('null'), 'requested_max_completion_tokens': Value('int64'), 'logical_max_completion_tokens': Value('int64'), 'physical_request_count': Value('int64'), 'physical_prompt_tokens': Value('int64'), 'segments': List({'kind': Value('string'), 'request_id': Value('string'), 'finish_reason': Value('string'), 'prompt_tokens': Value('int64'), 'cached_prompt_tokens': Value('int64'), 'completion_tokens': Value('int64'), 'reasoning_tokens': Value('null'), 'requested_max_completion_tokens': Value('int64'), 'latency_s': Value('float64'), 'stream_aborted': Value('bool')}), 'latency_s': Value('float64'), 'stop_reason': Value('string'), 'stream_aborted': Value('bool'), 'salvaged': Value('bool'), 'xml_valid': Value('bool'), 'xml_error': Value('null'), 'error': Value('null'), 'verification_disposition': Value('string')}
              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 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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sample_id
string
stage
string
seed
int64
prompt_sha256
string
content
string
reasoning_content
string
finish_reason
string
prompt_tokens
int64
cached_prompt_tokens
int64
completion_tokens
int64
reasoning_tokens
null
requested_max_completion_tokens
int64
logical_max_completion_tokens
int64
physical_request_count
int64
physical_prompt_tokens
int64
segments
list
latency_s
float64
stop_reason
string
stream_aborted
bool
salvaged
bool
xml_valid
bool
xml_error
null
error
null
verification_disposition
string
round-01/generate/r01-p0008
round-01/generate
754,889,539
2a53a16dff6a76ec08200b50c416aa2b3f9174a02dabb9ed5beb2a80a6d34373
<solution> We prove both parts. Let the initial numbers be \(a_1,\dots,a_{2026}>1\). For any integer \(x>1\) write its prime factorization \(x=\prod_p p^{\alpha_p(x)}\); for \(x=1\) set \(\alpha_p(1)=0\). --- ### Part (a) Define the **total exponent sum** \[ T=\sum_{i=1}^{2026}\sum_p \alpha_p(a_i). \] \(T\) is a no...
We need to solve the problem. Let's restate: We have 2026 integers greater than 1 written on a blackboard, not necessarily distinct. In a move, choose two integers m>1 and n>1 from different places on the blackboard, and replace them with gcd(m,n) and lcm(m,n)/gcd(m,n). He continues while possible (i.e., while there a...
stop
448
null
11,889
null
128,000
128,000
1
448
[ { "kind": "chat_stream", "request_id": "round-01/generate/r01-p0008", "finish_reason": "stop", "prompt_tokens": 448, "cached_prompt_tokens": null, "completion_tokens": 11889, "reasoning_tokens": null, "requested_max_completion_tokens": 128000, "latency_s": 84.951, "stream_abo...
84.951
stop
false
false
true
null
null
null
round-01/generate/r01-p0009
round-01/generate
896,284,131
2a53a16dff6a76ec08200b50c416aa2b3f9174a02dabb9ed5beb2a80a6d34373
<solution> We prove both parts. Let the initial numbers be \(a_1,\dots,a_{2026}>1\). For any integer \(x>1\) write its prime factorization \(x=\prod_p p^{\alpha_p(x)}\); for \(x=1\) set \(\alpha_p(1)=0\). --- ### Part (a) Define the **total exponent sum** \[ T=\sum_{i=1}^{2026}\sum_p \alpha_p(a_i). \] \(T\) is a no...
We need to solve the problem. Let's restate: We have 2026 integers greater than 1 written on a blackboard, not necessarily distinct. In a move, choose two integers m>1 and n>1 from different places on the blackboard, and replace them with gcd(m,n) and lcm(m,n)/gcd(m,n). He continues while possible (i.e., while there a...
stop
448
null
11,889
null
128,000
128,000
1
448
[ { "kind": "chat_stream", "request_id": "round-01/generate/r01-p0009", "finish_reason": "stop", "prompt_tokens": 448, "cached_prompt_tokens": null, "completion_tokens": 11889, "reasoning_tokens": null, "requested_max_completion_tokens": 128000, "latency_s": 85.572, "stream_abo...
85.572
stop
false
false
true
null
null
null
round-01/generate/r01-p0010
round-01/generate
161,558,040
2a53a16dff6a76ec08200b50c416aa2b3f9174a02dabb9ed5beb2a80a6d34373
<solution> We prove both parts. Let the initial numbers be \(a_1,\dots,a_{2026}>1\). For any integer \(x>1\) write its prime factorization \(x=\prod_p p^{\alpha_p(x)}\); for \(x=1\) set \(\alpha_p(1)=0\). --- ### Part (a) Define the **total exponent sum** \[ T=\sum_{i=1}^{2026}\sum_p \alpha_p(a_i). \] \(T\) is a no...
We need to solve the problem. Let's restate: We have 2026 integers greater than 1 written on a blackboard, not necessarily distinct. In a move, choose two integers m>1 and n>1 from different places on the blackboard, and replace them with gcd(m,n) and lcm(m,n)/gcd(m,n). He continues while possible (i.e., while there a...
stop
448
null
11,894
null
128,000
128,000
1
448
[ { "kind": "chat_stream", "request_id": "round-01/generate/r01-p0010", "finish_reason": "stop", "prompt_tokens": 448, "cached_prompt_tokens": null, "completion_tokens": 11894, "reasoning_tokens": null, "requested_max_completion_tokens": 128000, "latency_s": 85.9, "stream_abort...
85.9
stop
false
false
true
null
null
null
round-01/generate/r01-p0003
round-01/generate
1,091,333,567
2a53a16dff6a76ec08200b50c416aa2b3f9174a02dabb9ed5beb2a80a6d34373
"<solution>\nWe prove both statements.\n\nLet the initial multiset consist of \\(2026\\) integers, e(...TRUNCATED)
"We need to solve the problem. The problem: There are 2026 integers greater than 1 written on a blac(...TRUNCATED)
stop
448
1
15,377
null
128,000
128,000
1
448
[{"kind":"chat_stream","request_id":"round-01/generate/r01-p0003","finish_reason":"stop","prompt_tok(...TRUNCATED)
113.009
stop
false
false
true
null
null
null
round-01/verify/r01-p0010/v015
round-01/verify/r01-p0010
639,779,213
d9d66c114c2ac35bb05ee40ecac74f2a4a61b347dba53dae940606470156bdca
"<evaluation>\nThe solution correctly proves part (b) and the main idea of part (a) is sound: the to(...TRUNCATED)
"We are asked to evaluate the candidate solution. The problem: 2026 integers >1 on blackboard, moves(...TRUNCATED)
stop
1,608
1,464
3,788
null
128,000
128,000
1
1,608
[{"kind":"chat_stream","request_id":"round-01/verify/r01-p0010/v015","finish_reason":"stop","prompt_(...TRUNCATED)
38.882
stop
false
false
true
null
null
accepted
round-01/verify/r01-p0009/v010
round-01/verify/r01-p0009
591,901,226
88e1e2ec8f1ee760002a2603ce4fc4ff1880596e15bc18d27df8b7acb4603c7e
"<evaluation>\nThe solution correctly proves both parts of the problem. The total exponent sum argum(...TRUNCATED)
"We need to evaluate the candidate solution. The problem: There are 2026 integers >1 written on a bl(...TRUNCATED)
stop
1,603
1,602
4,138
null
128,000
128,000
1
1,603
[{"kind":"chat_stream","request_id":"round-01/verify/r01-p0009/v010","finish_reason":"stop","prompt_(...TRUNCATED)
41.496
stop
false
false
true
null
null
accepted
round-01/verify/r01-p0009/v013
round-01/verify/r01-p0009
478,153,878
88e1e2ec8f1ee760002a2603ce4fc4ff1880596e15bc18d27df8b7acb4603c7e
"<evaluation>\nThe solution is correct and rigorous. Part (a) uses a total exponent sum that strictl(...TRUNCATED)
"We need to evaluate the candidate solution. The problem: There are 2026 integers greater than 1 wri(...TRUNCATED)
stop
1,603
1,602
4,422
null
128,000
128,000
1
1,603
[{"kind":"chat_stream","request_id":"round-01/verify/r01-p0009/v013","finish_reason":"stop","prompt_(...TRUNCATED)
44.515
stop
false
false
true
null
null
accepted
round-01/generate/r01-p0019
round-01/generate
1,353,284,577
2a53a16dff6a76ec08200b50c416aa2b3f9174a02dabb9ed5beb2a80a6d34373
"<solution>\nLet the numbers on the blackboard at any stage be \\(a_1,\\dots,a_{2026}\\). \nDefine (...TRUNCATED)
"We need to solve a problem about a process on integers >1. We have 2026 integers >1, not necessaril(...TRUNCATED)
stop
448
1
16,096
null
128,000
128,000
1
448
[{"kind":"chat_stream","request_id":"round-01/generate/r01-p0019","finish_reason":"stop","prompt_tok(...TRUNCATED)
132.108
stop
false
false
true
null
null
null
round-01/generate/r01-p0016
round-01/generate
1,909,985,847
2a53a16dff6a76ec08200b50c416aa2b3f9174a02dabb9ed5beb2a80a6d34373
"<solution>\nLet $n>1$ be an integer. Write its prime factorization $n = \\prod_{p} p^{e_p(n)}$ wher(...TRUNCATED)
"We need to solve a problem about a process on integers >1. We have 2026 integers >1, not necessaril(...TRUNCATED)
stop
448
null
17,713
null
128,000
128,000
1
448
[{"kind":"chat_stream","request_id":"round-01/generate/r01-p0016","finish_reason":"stop","prompt_tok(...TRUNCATED)
133.397
stop
false
false
true
null
null
null
round-01/generate/r01-p0026
round-01/generate
1,069,259,720
2a53a16dff6a76ec08200b50c416aa2b3f9174a02dabb9ed5beb2a80a6d34373
"<solution>\nWe are given \\(2026\\) integers greater than \\(1\\) on a blackboard. \nLet the numbe(...TRUNCATED)
"We need to solve a problem about a process on a blackboard with 2026 integers >1. In each move, cho(...TRUNCATED)
stop
448
447
16,831
null
128,000
128,000
1
448
[{"kind":"chat_stream","request_id":"round-01/generate/r01-p0026","finish_reason":"stop","prompt_tok(...TRUNCATED)
135.271
stop
false
false
true
null
null
null
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