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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
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prompt string | completion string | enhanced_prompt null | enhanced_completion string |
|---|---|---|---|
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT. The constants {a} and {aa} are distinct, so ¬{B}{a} does not logically imply ¬{B}{aa}. |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | CORRECT | null | INCORRECT |
You are verifying one step of a formal reasoning solution.
Problem:
Based on the provided facts ($context$), either prove or disprove the hypothesis or state that it is unknown. The facts and the hypothesis are written in logical formulas as follows: capital letters such as "{A}", "{B}", "{AB}" are predicates, small l... | INCORRECT | null | CORRECT |
End of preview.
This dataset is a remastered version prepared using Adaption's Adaptive Data platform.
adaption-formal_reasoning_step_verification
This dataset contains pairs of prompts and completions for verifying individual steps in formal logical reasoning solutions. Each sample presents a set of logical facts, a hypothesis, and a candidate inference step, requiring the model to determine if the step is logically correct or incorrect. The content focuses on first-order logic notation including predicates, constants, and quantifiers, with binary classification labels (CORRECT/INCORRECT) as the target output.
Dataset size
There are 20,104 data points in this dataset. This is an instruction tuning dataset.
Quality of Remastered Dataset
The final quality is B, with a relative quality improvement of 25.7%.
Domain
- Math (100%)
Language
- English (100%)
Tone
- Analytical (100%)
Evaluation Results
Quality Gains:
Grade Improvement:
Percentile Chart:
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