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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    CastError
Message:      Couldn't cast
id: string
sample: string
task: string
logic: string
steps_requested: int64
step_index: int64
num_proof_steps: int64
input: string
target: string
premises: list<item: string>
  child 0, item: string
derived: list<item: string>
  child 0, item: string
goal: string
next: string
proof_steps: list<item: string>
  child 0, item: string
proof_rule_trace: list<item: string>
  child 0, item: string
source_sample: string
seed: int64
query_selection_strategy: string
rule_selection_strategy: string
placeholder_query_atoms: bool
canonical_upper_placeholders: bool
canonical_lower_placeholders: bool
placeholder_mapping: null
augmentation_index: int64
augmentation_seed: int64
symbol_mapping: struct<C: string, E: string, I: string, J: string, L: string, N: string, Phi: string, V: string, a:  (... 517 chars omitted)
  child 0, C: string
  child 1, E: string
  child 2, I: string
  child 3, J: string
  child 4, L: string
  child 5, N: string
  child 6, Phi: string
  child 7, V: string
  child 8, a: string
  child 9, x: string
  child 10, K: string
  child 11, O: string
  child 12, S: string
  child 13, e: string
  child 14, h: string
  child 15, j: string
  child 16, q: string
  child 17, G: string
  child 18, Psi: string
  child 19, U: string
  child 20, W: string
  child 21, F: string
  child 22, Q: string
  child 23, T: string
  child 24, z: string
  child 25, A: string
  child 26, c: string
  child 27, l: string
  child 28, p: string
  child 29, r: string
  child 30, s: string
  child 31, t: string
  child 32, w: string
  child 33, M: string
  child 34, R: string
  child 35, X: string
  child 36, Z: string
  child 37, Y: string
  child 38, Chi: string
  child 39, D: string
  child 40, B: string
  child 41, d: string
  child 42, k: string
  child 43, m: string
  child 44, y: string
  child 45, H: string
  child 46, i: string
  child 47, f: string
  child 48, g: string
  child 49, n: string
  child 50, u: string
  child 51, o: string
  child 52, v: string
  child 53, P: string
  child 54, b: string
num_base_next_step_examples: int64
augmentation_count: int64
query: string
num_next_step_examples: int64
to
{'sample': Value('string'), 'logic': Value('string'), 'seed': Value('int64'), 'query': Value('string'), 'num_next_step_examples': Value('int64'), 'num_base_next_step_examples': Value('int64'), 'num_proof_steps': Value('int64'), 'proof_rule_trace': List(Value('string')), 'augmentation_count': Value('int64'), 'placeholder_mapping': Value('null')}
because column names don't match
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1827, 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 2378, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2306, in cast_table_to_schema
                  raise CastError(
                  ...<3 lines>...
                  )
              datasets.table.CastError: Couldn't cast
              id: string
              sample: string
              task: string
              logic: string
              steps_requested: int64
              step_index: int64
              num_proof_steps: int64
              input: string
              target: string
              premises: list<item: string>
                child 0, item: string
              derived: list<item: string>
                child 0, item: string
              goal: string
              next: string
              proof_steps: list<item: string>
                child 0, item: string
              proof_rule_trace: list<item: string>
                child 0, item: string
              source_sample: string
              seed: int64
              query_selection_strategy: string
              rule_selection_strategy: string
              placeholder_query_atoms: bool
              canonical_upper_placeholders: bool
              canonical_lower_placeholders: bool
              placeholder_mapping: null
              augmentation_index: int64
              augmentation_seed: int64
              symbol_mapping: struct<C: string, E: string, I: string, J: string, L: string, N: string, Phi: string, V: string, a:  (... 517 chars omitted)
                child 0, C: string
                child 1, E: string
                child 2, I: string
                child 3, J: string
                child 4, L: string
                child 5, N: string
                child 6, Phi: string
                child 7, V: string
                child 8, a: string
                child 9, x: string
                child 10, K: string
                child 11, O: string
                child 12, S: string
                child 13, e: string
                child 14, h: string
                child 15, j: string
                child 16, q: string
                child 17, G: string
                child 18, Psi: string
                child 19, U: string
                child 20, W: string
                child 21, F: string
                child 22, Q: string
                child 23, T: string
                child 24, z: string
                child 25, A: string
                child 26, c: string
                child 27, l: string
                child 28, p: string
                child 29, r: string
                child 30, s: string
                child 31, t: string
                child 32, w: string
                child 33, M: string
                child 34, R: string
                child 35, X: string
                child 36, Z: string
                child 37, Y: string
                child 38, Chi: string
                child 39, D: string
                child 40, B: string
                child 41, d: string
                child 42, k: string
                child 43, m: string
                child 44, y: string
                child 45, H: string
                child 46, i: string
                child 47, f: string
                child 48, g: string
                child 49, n: string
                child 50, u: string
                child 51, o: string
                child 52, v: string
                child 53, P: string
                child 54, b: string
              num_base_next_step_examples: int64
              augmentation_count: int64
              query: string
              num_next_step_examples: int64
              to
              {'sample': Value('string'), 'logic': Value('string'), 'seed': Value('int64'), 'query': Value('string'), 'num_next_step_examples': Value('int64'), 'num_base_next_step_examples': Value('int64'), 'num_proof_steps': Value('int64'), 'proof_rule_trace': List(Value('string')), 'augmentation_count': Value('int64'), 'placeholder_mapping': Value('null')}
              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 1694, 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 1880, 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
string
logic
string
seed
int64
query
string
num_next_step_examples
int64
num_base_next_step_examples
int64
num_proof_steps
int64
proof_rule_trace
list
augmentation_count
int64
placeholder_mapping
null
sample_000000
first_order
2,026,052,202
βˆ€{x} {Phi}({x})
60
10
10
[ "first_order_logic.distribution.forall_or_weaken", "first_order_logic.scope.forall_imp_left_converse", "first_order_logic.syllogism.sorites.regressive.regressive_aae_4term", "first_order_logic.syllogism.categorical.festino", "first_order_logic.syllogism.sorites.progressive.progressive_aaa_4term", "first_o...
5
null
sample_000001
first_order
2,026,052,203
βˆƒ{x} {Phi}({x})
60
10
10
[ "first_order_logic.scope.exists_imp_right_to_forall", "first_order_logic.syllogism.sorites.regressive.regressive_aaa_4term", "first_order_logic.syllogism.reduction.bocardo_indirect_to_barbara", "first_order_logic.derived.universal_hypothetical_syllogism", "first_order_logic.quantifier.universal_intro", "f...
5
null
sample_000002
first_order
2,026,052,204
βˆ€{x} ({Phi}({x}) β†’ {Psi}({x}))
60
10
10
[ "first_order_logic.scope.forall_imp_right", "first_order_logic.scope.exists_imp_right_to_forall", "first_order_logic.syllogism.categorical.celarent", "first_order_logic.syllogism.reduction.calemes_to_celarent", "first_order_logic.syllogism.reduction.cesare_to_celarent", "first_order_logic.syllogism.catego...
5
null
sample_000003
first_order
2,026,052,205
βˆƒ{x} ({Phi}({x}) ∧ {Psi}({x}))
60
10
10
[ "first_order_logic.scope.exists_and_const_push", "first_order_logic.syllogism.categorical.darii", "first_order_logic.syllogism.categorical.dimatis", "first_order_logic.renaming.exists_alpha", "first_order_logic.syllogism.categorical.barbari", "first_order_logic.syllogism.categorical.disamis", "first_ord...
5
null
sample_000004
first_order
2,026,052,206
{s} = {t}
60
10
10
[ "first_order_logic.derived.universal_syllogism_exists", "first_order_logic.derived.universal_chain_exists", "first_order_logic.uniqueness.exists_unique_intro", "first_order_logic.uniqueness.exists_unique_expand", "first_order_logic.uniqueness.exists_unique_contract", "first_order_logic.equality.symmetry",...
5
null
sample_000005
first_order
2,026,052,207
βˆƒ!{x} {Phi}({x})
60
10
10
[ "first_order_logic.distribution.exists_or_split", "first_order_logic.scope.exists_or_const_push", "first_order_logic.scope.exists_or_const_pull", "first_order_logic.distribution.exists_or_merge", "first_order_logic.syllogism.reduction.camestres_to_celarent", "first_order_logic.syllogism.sorites.progressiv...
5
null
sample_000006
first_order
2,026,052,208
Β¬βˆ€{x} Β¬{Phi}({x})
60
10
10
[ "first_order_logic.scope.forall_imp_left", "first_order_logic.scope.forall_imp_left_converse", "first_order_logic.syllogism.sorites.regressive.regressive_aaa_4term", "first_order_logic.derived.universal_proof_by_cases_exists", "first_order_logic.classical.exists_to_not_forall_not", "first_order_logic.vacu...
5
null
sample_000007
first_order
2,026,052,209
Β¬βˆƒ{x} Β¬{Phi}({x})
60
10
10
[ "first_order_logic.distribution.forall_or_weaken", "first_order_logic.scope.forall_or_const_pull", "first_order_logic.scope.forall_or_const_push", "first_order_logic.scope.forall_or_const_pull", "first_order_logic.scope.forall_or_const_push", "first_order_logic.quantifier_negation.not_exists_to_forall_not...
5
null
sample_000008
first_order
2,026,052,210
βˆ€{x} {Chi}({x})
60
10
10
[ "first_order_logic.derived.universal_hypothetical_syllogism", "first_order_logic.syllogism.sorites.progressive.progressive_aaa_4term", "first_order_logic.derived.universal_proof_by_cases_all", "first_order_logic.renaming.forall_alpha", "first_order_logic.derived.universal_chain_all", "first_order_logic.cl...
5
null
sample_000009
first_order
2,026,052,211
βˆƒ{x} {Chi}({x})
60
10
10
[ "first_order_logic.syllogism.categorical.barbara", "first_order_logic.uniqueness.exists_unique_contract", "first_order_logic.uniqueness.exists_unique_elim", "first_order_logic.equality.symmetry", "first_order_logic.equality.transitivity", "first_order_logic.equality.substitution", "first_order_logic.qua...
5
null
sample_000010
first_order
2,026,052,212
βˆ€{x} (Β¬{Psi}({x}) β†’ Β¬{Phi}({x}))
60
10
10
[ "first_order_logic.syllogism.categorical.cesare", "first_order_logic.syllogism.categorical.cesare", "first_order_logic.syllogism.categorical.calemes", "first_order_logic.syllogism.categorical.bamalip", "first_order_logic.syllogism.reduction.bamalip_to_barbara", "first_order_logic.syllogism.sorites.progres...
5
null
sample_000011
first_order
2,026,052,213
βˆ€{x} {Psi}({x})
60
10
10
[ "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.syllogism.sorites.progressive.progressive_aaa_4term", "first_order_logic.scope.forall_or_const_pull", "first_order_logic.distribution.forall_or_weaken", "first_order_logic.quantifier_negation.forall_not_to_not_exists", "first_order_...
5
null
sample_000012
first_order
2,026,052,214
βˆƒ{x} {Psi}({x})
60
10
10
[ "first_order_logic.scope.forall_imp_left", "first_order_logic.scope.forall_imp_left_converse", "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.quantifier_negation.exists_not_to_not_forall", "first_order_logic.quantifier_negation.not_forall_to_exists_not", "first_order_logic.quan...
5
null
sample_000013
first_order
2,026,052,215
βˆ€{x} ({Phi}({x}) β†’ {Chi}({x}))
60
10
10
[ "first_order_logic.syllogism.categorical.calemes", "first_order_logic.syllogism.sorites.regressive.regressive_aae_4term", "first_order_logic.syllogism.sorites.progressive.progressive_aae_4term", "first_order_logic.syllogism.categorical.cesaro", "first_order_logic.syllogism.reduction.baroco_indirect_to_barba...
5
null
sample_000014
first_order
2,026,052,216
{Psi}({a})
60
10
10
[ "first_order_logic.uniqueness.exists_unique_expand", "first_order_logic.uniqueness.exists_unique_contract", "first_order_logic.scope.forall_imp_right", "first_order_logic.scope.exists_imp_right_to_forall", "first_order_logic.classical.not_exists_not_to_forall", "first_order_logic.derived.universal_syllogi...
5
null
sample_000015
first_order
2,026,052,217
Β¬{Phi}({a})
60
10
10
[ "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.scope.forall_imp_left", "first_order_logic.scope.forall_imp_left_converse", "first_order_logic.syllogism.reduction.camestres_to_celarent", "first_order_logic.syllogism.categorical.fesapo", "first_order_logic.syllogism.reduction.boca...
5
null
sample_000016
first_order
2,026,052,218
βˆ€{x} {R}({x})
60
10
10
[ "first_order_logic.scope.forall_or_const_push", "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.vacuous_quantification.exists_add", "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.scope.forall_or_c...
5
null
sample_000017
first_order
2,026,052,219
βˆƒ{x} {R}({x})
60
10
10
[ "first_order_logic.distribution.forall_or_weaken", "first_order_logic.syllogism.categorical.barbara", "first_order_logic.syllogism.sorites.regressive.regressive_aaa_4term", "first_order_logic.derived.universal_modus_tollens_instance", "first_order_logic.vacuous_quantification.exists_add", "first_order_log...
5
null
sample_000018
first_order
2,026,052,220
βˆƒ{x} {Phi}({x}) ∧ βˆƒ{x} {Psi}({x})
60
10
10
[ "first_order_logic.derived.universal_chain_exists", "first_order_logic.syllogism.square_of_opposition.contradiction.a_implies_not_o", "first_order_logic.syllogism.square_of_opposition.subcontrariety.not_o_implies_i", "first_order_logic.syllogism.categorical.datisi", "first_order_logic.classical.not_forall_n...
5
null
sample_000019
first_order
2,026,052,221
βˆƒ{x} ({Phi}({x}) ∨ {Psi}({x}))
60
10
10
[ "first_order_logic.distribution.exists_or_split", "first_order_logic.distribution.exists_or_merge", "first_order_logic.distribution.exists_or_split", "first_order_logic.distribution.exists_or_merge", "first_order_logic.scope.exists_or_const_pull", "first_order_logic.scope.exists_or_const_push", "first_o...
5
null
sample_000020
first_order
2,026,052,222
βˆƒ{x} {Phi}({x}) ∨ βˆƒ{x} {Psi}({x})
60
10
10
[ "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.vacuous_quantification.exists_add", "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.vacuous_q...
5
null
sample_000021
first_order
2,026,052,223
βˆ€{x} ({Phi}({x}) ∧ {Psi}({x}))
60
10
10
[ "first_order_logic.derived.universal_disjunctive_syllogism_all", "first_order_logic.renaming.forall_alpha", "first_order_logic.derived.universal_chain_all", "first_order_logic.quantifier.universal_elim", "first_order_logic.quantifier.universal_intro", "first_order_logic.syllogism.sorites.progressive.progr...
5
null
sample_000022
first_order
2,026,052,224
βˆ€{x} {Phi}({x}) ∧ βˆ€{x} {Psi}({x})
60
10
10
[ "first_order_logic.syllogism.sorites.regressive.regressive_iaa_4term", "first_order_logic.syllogism.reduction.ferison_to_ferio", "first_order_logic.syllogism.reduction.baroco_indirect_to_barbara", "first_order_logic.renaming.forall_alpha", "first_order_logic.derived.universal_chain_all", "first_order_logi...
5
null
sample_000023
first_order
2,026,052,225
βˆ€{x} ({Phi}({x}) ∨ {Psi}({x}))
60
10
10
[ "first_order_logic.vacuous_quantification.exists_add", "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.scope.forall_or_const_pull", "first_order_logic.scope.forall_or_c...
5
null
sample_000024
first_order
2,026,052,226
{f}({s}, {u}) = {f}({t}, {u})
60
10
10
[ "first_order_logic.quantifier.existential_intro", "first_order_logic.uniqueness.exists_unique_intro", "first_order_logic.scope.exists_imp_right_to_forall", "first_order_logic.derived.universal_modus_ponens_instance", "first_order_logic.uniqueness.exists_unique_elim", "first_order_logic.equality.symmetry",...
5
null
sample_000025
first_order
2,026,052,227
{f}({u}, {s}) = {f}({u}, {t})
60
10
10
[ "first_order_logic.scope.exists_or_const_push", "first_order_logic.scope.forall_imp_left", "first_order_logic.scope.forall_imp_left_converse", "first_order_logic.derived.universal_proof_by_cases_exists", "first_order_logic.uniqueness.exists_unique_intro", "first_order_logic.equality.transitivity", "firs...
5
null
sample_000026
first_order
2,026,052,228
{f}({s}) = {f}({t})
60
10
10
[ "first_order_logic.uniqueness.exists_unique_expand", "first_order_logic.uniqueness.exists_unique_contract", "first_order_logic.syllogism.sorites.regressive.regressive_aaa_4term", "first_order_logic.derived.universal_modus_ponens_instance", "first_order_logic.quantifier.universal_elim", "first_order_logic....
5
null
sample_000027
first_order
2,026,052,229
{R}({t}, {u})
60
10
10
[ "first_order_logic.equality.predicate_substitution_left", "first_order_logic.equality.predicate_substitution_right", "first_order_logic.equality.predicate_substitution_left", "first_order_logic.equality.predicate_substitution_right", "first_order_logic.equality.predicate_substitution_left", "first_order_l...
5
null
sample_000028
first_order
2,026,052,230
{R}({u}, {t})
60
10
10
[ "first_order_logic.scope.exists_and_const_push", "first_order_logic.scope.exists_and_const_pull", "first_order_logic.scope.exists_and_const_push", "first_order_logic.uniqueness.exists_unique_contract", "first_order_logic.uniqueness.exists_unique_elim", "first_order_logic.equality.transitivity", "first_o...
5
null
sample_000029
first_order
2,026,052,231
{t} = {t}
12
2
2
[ "first_order_logic.uniqueness.exists_unique_elim", "first_order_logic.equality.symmetry" ]
5
null
sample_000030
first_order
2,026,052,232
{Phi}({t})
60
10
10
[ "first_order_logic.derived.universal_hypothetical_syllogism", "first_order_logic.syllogism.categorical.barbara", "first_order_logic.scope.forall_imp_right", "first_order_logic.scope.exists_imp_right_to_forall", "first_order_logic.derived.universal_proof_by_cases_all", "first_order_logic.classical.forall_t...
5
null
sample_000031
first_order
2,026,052,233
{t} = {s}
60
10
10
[ "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.vacuous_quantification.exists_add", "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.equality....
5
null
sample_000032
first_order
2,026,052,234
{s} = {u}
60
10
10
[ "first_order_logic.syllogism.sorites.progressive.progressive_aaa_4term", "first_order_logic.quantifier.existential_intro", "first_order_logic.renaming.exists_alpha", "first_order_logic.classical.exists_to_not_forall_not", "first_order_logic.classical.not_forall_not_to_exists", "first_order_logic.derived.u...
5
null
sample_000033
first_order
2,026,052,235
βˆƒ{y} βˆƒ{x} {Phi}({x}, {y})
60
10
10
[ "first_order_logic.uniqueness.exists_unique_elim", "first_order_logic.equality.predicate_substitution_right", "first_order_logic.equality.predicate_substitution_left", "first_order_logic.equality.predicate_substitution_right", "first_order_logic.equality.predicate_substitution_left", "first_order_logic.eq...
5
null
sample_000034
first_order
2,026,052,236
βˆ€{y} βˆ€{x} {Phi}({x}, {y})
60
10
10
[ "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.vacuous_quantification.exists_add", "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.vacuous_q...
5
null
sample_000035
first_order
2,026,052,237
Β¬βˆ€{x} {Phi}({x})
60
10
10
[ "first_order_logic.quantifier_negation.not_forall_to_exists_not", "first_order_logic.quantifier_negation.exists_not_to_not_forall", "first_order_logic.quantifier_negation.not_forall_to_exists_not", "first_order_logic.quantifier_negation.exists_not_to_not_forall", "first_order_logic.quantifier_negation.not_f...
5
null
sample_000036
first_order
2,026,052,238
Β¬βˆƒ{x} {Phi}({x})
60
10
10
[ "first_order_logic.quantifier_negation.not_exists_to_forall_not", "first_order_logic.quantifier_negation.forall_not_to_not_exists", "first_order_logic.quantifier_negation.not_exists_to_forall_not", "first_order_logic.quantifier_negation.forall_not_to_not_exists", "first_order_logic.quantifier_negation.not_e...
5
null
sample_000037
first_order
2,026,052,239
βˆ€{x} Β¬{Phi}({x})
60
10
10
[ "first_order_logic.syllogism.sorites.progressive.progressive_iae_4term", "first_order_logic.syllogism.reduction.baroco_indirect_to_barbara", "first_order_logic.derived.universal_modus_tollens_instance", "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.quantifier_negation.forall_not_...
5
null
sample_000038
first_order
2,026,052,240
βˆƒ{x} Β¬{Phi}({x})
60
10
10
[ "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.quantifier_negation.exists_not_to_not_forall", "first_order_logi...
5
null
sample_000039
first_order
2,026,052,241
βˆƒ{y} {Phi}({y})
60
10
10
[ "first_order_logic.syllogism.categorical.bamalip", "first_order_logic.syllogism.categorical.datisi", "first_order_logic.syllogism.reduction.darapti_to_darii", "first_order_logic.syllogism.categorical.camestres", "first_order_logic.syllogism.reduction.calemes_to_celarent", "first_order_logic.syllogism.cate...
5
null
sample_000040
first_order
2,026,052,242
βˆ€{y} {Phi}({y})
60
10
10
[ "first_order_logic.syllogism.categorical.barbari", "first_order_logic.syllogism.reduction.datisi_to_darii", "first_order_logic.syllogism.reduction.bamalip_to_barbara", "first_order_logic.syllogism.categorical.dimatis", "first_order_logic.syllogism.sorites.regressive.regressive_iaa_4term", "first_order_log...
5
null
sample_000041
first_order
2,026,052,243
βˆƒ{x} {Phi}({x}) ∧ {Q}
60
10
10
[ "first_order_logic.scope.exists_and_const_push", "first_order_logic.scope.exists_and_const_pull", "first_order_logic.scope.exists_and_const_push", "first_order_logic.scope.exists_and_const_pull", "first_order_logic.scope.exists_and_const_push", "first_order_logic.scope.exists_and_const_pull", "first_ord...
5
null
sample_000042
first_order
2,026,052,244
βˆƒ{x} ({Phi}({x}) ∧ {Q})
60
10
10
[ "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.vacuous_quantification.exists_add", "first_order_logic.scope.exists_and_const_pull", "first_order_logic.scope.exists_and...
5
null
sample_000043
first_order
2,026,052,245
{Q} β†’ βˆƒ{x} {Phi}({x})
60
10
10
[ "first_order_logic.scope.exists_imp_left_converse", "first_order_logic.scope.exists_imp_left", "first_order_logic.scope.exists_imp_left_converse", "first_order_logic.scope.exists_imp_left", "first_order_logic.scope.exists_imp_left_converse", "first_order_logic.scope.exists_imp_left", "first_order_logic....
5
null
sample_000044
first_order
2,026,052,246
βˆƒ{x} ({Q} β†’ {Phi}({x}))
60
10
10
[ "first_order_logic.scope.exists_imp_left", "first_order_logic.scope.exists_imp_left_converse", "first_order_logic.scope.exists_imp_left", "first_order_logic.scope.exists_imp_left_converse", "first_order_logic.scope.exists_imp_left", "first_order_logic.scope.exists_imp_left_converse", "first_order_logic....
5
null
sample_000045
first_order
2,026,052,247
βˆ€{x} ({Phi}({x}) β†’ {Q})
60
10
10
[ "first_order_logic.scope.forall_imp_right", "first_order_logic.scope.exists_imp_right_to_forall", "first_order_logic.scope.forall_imp_right", "first_order_logic.scope.exists_imp_right_to_forall", "first_order_logic.scope.forall_imp_right", "first_order_logic.scope.exists_imp_right_to_forall", "first_ord...
5
null
sample_000046
first_order
2,026,052,248
βˆƒ{x} {Phi}({x}) ∨ {Q}
60
10
10
[ "first_order_logic.scope.exists_or_const_push", "first_order_logic.scope.exists_or_const_pull", "first_order_logic.scope.exists_or_const_push", "first_order_logic.scope.exists_or_const_pull", "first_order_logic.scope.exists_or_const_push", "first_order_logic.scope.exists_or_const_pull", "first_order_log...
5
null
sample_000047
first_order
2,026,052,249
βˆƒ{x} ({Phi}({x}) ∨ {Q})
60
10
10
[ "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.vacuous_quantification.exists_add", "first_order_logic.scope.exists_or_const_pull", "first_order_logic.scope.exists_or_c...
5
null
sample_000048
first_order
2,026,052,250
βˆ€{x} {Phi}({x}) ∧ {Q}
60
10
10
[ "first_order_logic.scope.forall_and_const_push", "first_order_logic.scope.forall_and_const_pull", "first_order_logic.scope.forall_and_const_push", "first_order_logic.scope.forall_and_const_pull", "first_order_logic.scope.forall_and_const_push", "first_order_logic.scope.forall_and_const_pull", "first_ord...
5
null
sample_000049
first_order
2,026,052,251
βˆ€{x} ({Phi}({x}) ∧ {Q})
60
10
10
[ "first_order_logic.scope.forall_and_const_pull", "first_order_logic.scope.forall_and_const_push", "first_order_logic.scope.forall_and_const_pull", "first_order_logic.scope.forall_and_const_push", "first_order_logic.scope.forall_and_const_pull", "first_order_logic.scope.forall_and_const_push", "first_ord...
5
null
sample_000050
first_order
2,026,052,252
{Q} β†’ βˆ€{x} {Phi}({x})
60
10
10
[ "first_order_logic.scope.forall_imp_left_converse", "first_order_logic.scope.forall_imp_left", "first_order_logic.scope.forall_imp_left_converse", "first_order_logic.scope.forall_imp_left", "first_order_logic.scope.forall_imp_left_converse", "first_order_logic.scope.forall_imp_left", "first_order_logic....
5
null
sample_000051
first_order
2,026,052,253
βˆ€{x} ({Q} β†’ {Phi}({x}))
60
10
10
[ "first_order_logic.scope.forall_imp_left", "first_order_logic.scope.forall_imp_left_converse", "first_order_logic.scope.forall_imp_left", "first_order_logic.scope.forall_imp_left_converse", "first_order_logic.scope.forall_imp_left", "first_order_logic.scope.forall_imp_left_converse", "first_order_logic....
5
null
sample_000052
first_order
2,026,052,254
βˆƒ{x} {Phi}({x}) β†’ {Q}
60
10
10
[ "first_order_logic.scope.exists_imp_right_to_forall", "first_order_logic.scope.forall_imp_right", "first_order_logic.scope.exists_imp_right_to_forall", "first_order_logic.scope.forall_imp_right", "first_order_logic.scope.exists_imp_right_to_forall", "first_order_logic.scope.forall_imp_right", "first_ord...
5
null
sample_000053
first_order
2,026,052,255
βˆ€{x} {Phi}({x}) ∨ {Q}
60
10
10
[ "first_order_logic.scope.forall_or_const_push", "first_order_logic.scope.forall_or_const_pull", "first_order_logic.scope.forall_or_const_push", "first_order_logic.scope.forall_or_const_pull", "first_order_logic.scope.forall_or_const_push", "first_order_logic.scope.forall_or_const_pull", "first_order_log...
5
null
sample_000054
first_order
2,026,052,256
βˆ€{x} ({Phi}({x}) ∨ {Q})
60
10
10
[ "first_order_logic.scope.forall_or_const_pull", "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.scope.forall_or_const_push", "first_order_logic.scope.forall_or_const_pull", "first_order_logic.scope.forall_or_const_push", "...
5
null
sample_000055
first_order
2,026,052,257
βˆƒ{x} ({S}({x}) ∧ {P}({x}))
60
10
10
[ "first_order_logic.syllogism.square_of_opposition.subalternation.a_to_i", "first_order_logic.syllogism.square_of_opposition.contradiction.a_implies_not_o", "first_order_logic.syllogism.square_of_opposition.subcontrariety.not_o_implies_i", "first_order_logic.syllogism.categorical.darapti", "first_order_logic...
5
null
sample_000056
first_order
2,026,052,258
βˆ€{x} ({S}({x}) β†’ {P}({x}))
60
10
10
[ "first_order_logic.syllogism.categorical.calemes", "first_order_logic.syllogism.categorical.cesare", "first_order_logic.syllogism.reduction.cesare_to_celarent", "first_order_logic.syllogism.reduction.camestres_to_celarent", "first_order_logic.syllogism.reduction.cesare_to_celarent", "first_order_logic.syl...
5
null
sample_000057
first_order
2,026,052,259
βˆƒ{x} ({S}({x}) ∧ Β¬{P}({x}))
60
10
10
[ "first_order_logic.syllogism.sorites.progressive.progressive_aae_4term", "first_order_logic.syllogism.reduction.calemes_to_celarent", "first_order_logic.syllogism.categorical.camestres", "first_order_logic.syllogism.reduction.dimatis_to_darii", "first_order_logic.syllogism.categorical.disamis", "first_ord...
5
null
sample_000058
first_order
2,026,052,260
βˆ€{x} ({S}({x}) β†’ Β¬{P}({x}))
60
10
10
[ "first_order_logic.syllogism.reduction.calemes_to_celarent", "first_order_logic.syllogism.sorites.regressive.regressive_aae_4term", "first_order_logic.syllogism.reduction.cesare_to_celarent", "first_order_logic.syllogism.categorical.celarent", "first_order_logic.syllogism.categorical.cesare", "first_order...
5
null
sample_000059
first_order
2,026,052,261
βˆƒ{x} ({A}({x}) ∧ {C}({x}))
60
10
10
[ "first_order_logic.derived.universal_hypothetical_syllogism", "first_order_logic.syllogism.sorites.progressive.progressive_aaa_4term", "first_order_logic.syllogism.sorites.progressive.progressive_aaa_4term", "first_order_logic.distribution.exists_or_split", "first_order_logic.distribution.exists_or_merge", ...
5
null
sample_000060
first_order
2,026,052,262
βˆ€{x} ({A}({x}) β†’ {B}({x}))
60
10
10
[ "first_order_logic.syllogism.sorites.progressive.progressive_aae_4term", "first_order_logic.syllogism.reduction.calemes_to_celarent", "first_order_logic.syllogism.categorical.cesare", "first_order_logic.syllogism.reduction.camestres_to_celarent", "first_order_logic.derived.universal_chain_exists", "first_...
5
null
sample_000061
first_order
2,026,052,263
βˆ€{x} ({B}({x}) β†’ {C}({x}))
60
10
10
[ "first_order_logic.syllogism.categorical.camestres", "first_order_logic.syllogism.categorical.celarent", "first_order_logic.syllogism.categorical.calemes", "first_order_logic.classical.exists_to_not_forall_not", "first_order_logic.classical.not_forall_not_to_exists", "first_order_logic.syllogism.categoric...
5
null
sample_000062
first_order
2,026,052,264
βˆ€{x} ({A}({x}) β†’ Β¬{C}({x}))
60
10
10
[ "first_order_logic.syllogism.categorical.cesare", "first_order_logic.syllogism.reduction.camestres_to_celarent", "first_order_logic.syllogism.reduction.cesare_to_celarent", "first_order_logic.syllogism.reduction.calemes_to_celarent", "first_order_logic.syllogism.categorical.celarent", "first_order_logic.s...
5
null
sample_000063
first_order
2,026,052,265
βˆƒ{x} ({A}({x}) ∧ Β¬{C}({x}))
60
10
10
[ "first_order_logic.syllogism.categorical.calemes", "first_order_logic.syllogism.sorites.regressive.regressive_aae_4term", "first_order_logic.syllogism.sorites.progressive.progressive_aae_4term", "first_order_logic.quantifier.universal_elim", "first_order_logic.quantifier.existential_intro", "first_order_l...
5
null
sample_000064
first_order
2,026,052,266
βˆ€{x} ({A}({x}) β†’ {D}({x}))
60
10
10
[ "first_order_logic.distribution.exists_or_split", "first_order_logic.distribution.exists_or_merge", "first_order_logic.derived.universal_proof_by_cases_exists", "first_order_logic.syllogism.reduction.calemes_to_celarent", "first_order_logic.syllogism.reduction.cesare_to_celarent", "first_order_logic.syllo...
5
null
sample_000065
first_order
2,026,052,267
βˆ€{x} ({A}({x}) β†’ Β¬{D}({x}))
60
10
10
[ "first_order_logic.syllogism.reduction.cesare_to_celarent", "first_order_logic.syllogism.categorical.calemes", "first_order_logic.syllogism.reduction.camestres_to_celarent", "first_order_logic.derived.universal_hypothetical_syllogism", "first_order_logic.syllogism.sorites.progressive.progressive_aae_4term",...
5
null
sample_000066
first_order
2,026,052,268
βˆƒ{x} ({A}({x}) ∧ {D}({x}))
60
10
10
[ "first_order_logic.distribution.forall_or_weaken", "first_order_logic.derived.universal_disjunctive_syllogism_exists", "first_order_logic.syllogism.categorical.darapti", "first_order_logic.syllogism.categorical.darii", "first_order_logic.syllogism.reduction.disamis_to_darii", "first_order_logic.syllogism....
5
null
sample_000067
first_order
2,026,052,269
βˆƒ{x} ({A}({x}) ∧ Β¬{D}({x}))
60
10
10
[ "first_order_logic.syllogism.reduction.calemes_to_celarent", "first_order_logic.syllogism.categorical.cesare", "first_order_logic.syllogism.sorites.regressive.regressive_aae_4term", "first_order_logic.distribution.forall_or_weaken", "first_order_logic.derived.universal_proof_by_cases_all", "first_order_lo...
5
null
sample_000068
first_order
2,026,052,270
Β¬βˆƒ{x} ({S}({x}) ∧ Β¬{P}({x}))
60
10
10
[ "first_order_logic.syllogism.categorical.datisi", "first_order_logic.syllogism.sorites.progressive.progressive_iaa_4term", "first_order_logic.syllogism.sorites.regressive.regressive_iaa_4term", "first_order_logic.syllogism.square_of_opposition.subcontrariety.not_o_implies_i", "first_order_logic.syllogism.re...
5
null
sample_000069
first_order
2,026,052,271
Β¬βˆƒ{x} ({S}({x}) ∧ {P}({x}))
60
10
10
[ "first_order_logic.syllogism.sorites.progressive.progressive_aaa_4term", "first_order_logic.syllogism.categorical.calemes", "first_order_logic.syllogism.categorical.celarent", "first_order_logic.syllogism.categorical.cesare", "first_order_logic.syllogism.categorical.camestres", "first_order_logic.syllogis...
5
null
sample_000070
first_order
2,026,052,272
Β¬βˆ€{x} ({S}({x}) β†’ Β¬{P}({x}))
60
10
10
[ "first_order_logic.distribution.exists_or_split", "first_order_logic.distribution.exists_or_merge", "first_order_logic.distribution.exists_or_split", "first_order_logic.distribution.exists_or_merge", "first_order_logic.derived.universal_chain_exists", "first_order_logic.syllogism.categorical.calemos", "...
5
null
sample_000071
first_order
2,026,052,273
Β¬βˆ€{x} ({S}({x}) β†’ {P}({x}))
60
10
10
[ "first_order_logic.classical.exists_to_not_forall_not", "first_order_logic.classical.not_forall_not_to_exists", "first_order_logic.renaming.exists_alpha", "first_order_logic.syllogism.categorical.bamalip", "first_order_logic.derived.universal_disjunctive_syllogism_exists", "first_order_logic.derived.unive...
5
null
sample_000072
first_order
2,026,052,274
{a} = {b}
60
10
10
[ "first_order_logic.quantifier.existential_intro", "first_order_logic.uniqueness.exists_unique_intro", "first_order_logic.uniqueness.exists_unique_expand", "first_order_logic.uniqueness.exists_unique_contract", "first_order_logic.equality.substitution", "first_order_logic.uniqueness.exists_unique_elim", ...
5
null
sample_000073
first_order
2,026,052,275
βˆƒ{x} ({Phi}({x}) ∧ βˆ€{y} ({Phi}({y}) β†’ {y} = {x}))
60
10
10
[ "first_order_logic.syllogism.sorites.regressive.regressive_aaa_4term", "first_order_logic.syllogism.reduction.bocardo_indirect_to_barbara", "first_order_logic.derived.universal_hypothetical_syllogism", "first_order_logic.derived.universal_proof_by_cases_exists", "first_order_logic.classical.exists_to_not_fo...
5
null
sample_000074
first_order
2,026,052,276
βˆƒ{x} {Q}
60
10
10
[ "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.vacuous_quantification.exists_add", "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.vacuous_quantification.exists_add", "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.vacuous_q...
5
null
sample_000075
first_order
2,026,052,277
{Q}
60
10
10
[ "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.vacuous_quantification.exists_add", "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.vacuous_qu...
5
null
sample_000076
first_order
2,026,052,278
βˆ€{x} {Q}
60
10
10
[ "first_order_logic.vacuous_quantification.exists_add", "first_order_logic.vacuous_quantification.exists_drop", "first_order_logic.vacuous_quantification.forall_drop", "first_order_logic.vacuous_quantification.forall_add", "first_order_logic.vacuous_quantification.exists_add", "first_order_logic.vacuous_qu...
5
null
sample_000077
first_order
2,026,052,279
βˆ€{x} {Phi}({x})
60
10
10
[ "first_order_logic.syllogism.categorical.barbara", "first_order_logic.syllogism.categorical.barbara", "first_order_logic.syllogism.sorites.progressive.progressive_aaa_4term", "first_order_logic.syllogism.sorites.progressive.progressive_aaa_4term", "first_order_logic.distribution.forall_or_weaken", "first_...
5
null
sample_000078
first_order
2,026,052,280
βˆƒ{x} {Phi}({x})
60
10
10
[ "first_order_logic.syllogism.sorites.regressive.regressive_aae_4term", "first_order_logic.syllogism.reduction.camestres_to_celarent", "first_order_logic.derived.universal_disjunctive_syllogism_exists", "first_order_logic.renaming.exists_alpha", "first_order_logic.syllogism.categorical.felapton", "first_or...
5
null
sample_000079
first_order
2,026,052,281
βˆ€{x} ({Phi}({x}) β†’ {Psi}({x}))
60
10
10
[ "first_order_logic.quantifier.universal_intro", "first_order_logic.renaming.forall_alpha", "first_order_logic.quantifier.universal_elim", "first_order_logic.derived.universal_modus_ponens_instance", "first_order_logic.quantifier.existential_intro", "first_order_logic.derived.universal_syllogism_exists", ...
5
null
sample_000080
first_order
2,026,052,282
βˆƒ{x} ({Phi}({x}) ∧ {Psi}({x}))
60
10
10
[ "first_order_logic.syllogism.square_of_opposition.subalternation.a_to_i", "first_order_logic.syllogism.categorical.datisi", "first_order_logic.syllogism.sorites.progressive.progressive_iaa_4term", "first_order_logic.syllogism.square_of_opposition.subcontrariety.not_o_implies_i", "first_order_logic.syllogism...
5
null
sample_000081
first_order
2,026,052,283
{s} = {t}
60
10
10
[ "first_order_logic.derived.universal_proof_by_cases_exists", "first_order_logic.renaming.exists_alpha", "first_order_logic.derived.universal_chain_exists", "first_order_logic.classical.exists_to_not_forall_not", "first_order_logic.classical.not_forall_not_to_exists", "first_order_logic.uniqueness.exists_u...
5
null
sample_000082
first_order
2,026,052,284
βˆƒ!{x} {Phi}({x})
60
10
10
[ "first_order_logic.quantifier.universal_elim", "first_order_logic.equality.substitution", "first_order_logic.quantifier.existential_intro", "first_order_logic.derived.universal_syllogism_exists", "first_order_logic.derived.universal_chain_exists", "first_order_logic.uniqueness.exists_unique_intro", "fir...
5
null
sample_000083
first_order
2,026,052,285
Β¬βˆ€{x} Β¬{Phi}({x})
60
10
10
[ "first_order_logic.distribution.exists_or_split", "first_order_logic.distribution.exists_or_merge", "first_order_logic.distribution.exists_or_split", "first_order_logic.distribution.exists_or_merge", "first_order_logic.syllogism.reduction.baroco_indirect_to_barbara", "first_order_logic.syllogism.categoric...
5
null
sample_000084
first_order
2,026,052,286
Β¬βˆƒ{x} Β¬{Phi}({x})
60
10
10
[ "first_order_logic.distribution.forall_or_weaken", "first_order_logic.quantifier_negation.not_exists_to_forall_not", "first_order_logic.quantifier_negation.forall_not_to_not_exists", "first_order_logic.quantifier_negation.not_exists_to_forall_not", "first_order_logic.quantifier_negation.forall_not_to_not_ex...
5
null
sample_000085
first_order
2,026,052,287
βˆ€{x} {Chi}({x})
60
10
10
[ "first_order_logic.distribution.forall_or_weaken", "first_order_logic.syllogism.categorical.camestres", "first_order_logic.derived.universal_disjunctive_syllogism_exists", "first_order_logic.renaming.exists_alpha", "first_order_logic.syllogism.categorical.cesaro", "first_order_logic.syllogism.reduction.bo...
5
null
sample_000086
first_order
2,026,052,288
βˆƒ{x} {Chi}({x})
60
10
10
[ "first_order_logic.derived.universal_chain_all", "first_order_logic.quantifier.universal_elim", "first_order_logic.equality.substitution", "first_order_logic.derived.universal_modus_ponens_instance", "first_order_logic.equality.substitution", "first_order_logic.quantifier.existential_intro", "first_orde...
5
null
sample_000087
first_order
2,026,052,289
βˆ€{x} (Β¬{Psi}({x}) β†’ Β¬{Phi}({x}))
60
10
10
[ "first_order_logic.syllogism.reduction.datisi_to_darii", "first_order_logic.syllogism.reduction.disamis_to_darii", "first_order_logic.syllogism.reduction.darapti_to_darii", "first_order_logic.syllogism.reduction.dimatis_to_darii", "first_order_logic.syllogism.reduction.bamalip_to_barbara", "first_order_lo...
5
null
sample_000088
first_order
2,026,052,290
βˆ€{x} {Psi}({x})
60
10
10
[ "first_order_logic.syllogism.categorical.barbara", "first_order_logic.syllogism.reduction.baroco_indirect_to_barbara", "first_order_logic.syllogism.sorites.regressive.regressive_aaa_4term", "first_order_logic.distribution.forall_or_weaken", "first_order_logic.derived.universal_disjunctive_syllogism_all", ...
5
null
sample_000089
first_order
2,026,052,291
βˆƒ{x} {Psi}({x})
60
10
10
[ "first_order_logic.syllogism.categorical.barbara", "first_order_logic.distribution.exists_or_split", "first_order_logic.scope.exists_or_const_push", "first_order_logic.scope.exists_or_const_pull", "first_order_logic.distribution.exists_or_merge", "first_order_logic.distribution.exists_or_split", "first_...
5
null
sample_000090
first_order
2,026,052,292
βˆ€{x} ({Phi}({x}) β†’ {Chi}({x}))
60
10
10
[ "first_order_logic.syllogism.reduction.cesare_to_celarent", "first_order_logic.syllogism.reduction.calemes_to_celarent", "first_order_logic.syllogism.sorites.progressive.progressive_aae_4term", "first_order_logic.syllogism.categorical.cesare", "first_order_logic.derived.universal_syllogism_exists", "first...
5
null
sample_000091
first_order
2,026,052,293
{Psi}({a})
36
6
6
[ "first_order_logic.equality.transitivity", "first_order_logic.derived.universal_proof_by_cases_all", "first_order_logic.quantifier.universal_elim", "first_order_logic.derived.universal_modus_ponens_instance", "first_order_logic.equality.substitution", "first_order_logic.derived.universal_modus_ponens_inst...
5
null
sample_000092
first_order
2,026,052,294
Β¬{Phi}({a})
60
10
10
[ "first_order_logic.syllogism.reduction.baroco_indirect_to_barbara", "first_order_logic.derived.universal_modus_tollens_instance", "first_order_logic.derived.universal_modus_tollens_instance", "first_order_logic.derived.universal_modus_tollens_instance", "first_order_logic.derived.universal_modus_tollens_ins...
5
null
sample_000093
first_order
2,026,052,295
βˆ€{x} {R}({x})
60
10
10
[ "first_order_logic.syllogism.reduction.festino_to_ferio", "first_order_logic.syllogism.reduction.baroco_indirect_to_barbara", "first_order_logic.derived.universal_hypothetical_syllogism", "first_order_logic.syllogism.categorical.barbara", "first_order_logic.distribution.forall_or_weaken", "first_order_log...
5
null
sample_000094
first_order
2,026,052,296
βˆƒ{x} {R}({x})
60
10
10
[ "first_order_logic.distribution.forall_or_weaken", "first_order_logic.quantifier_negation.not_forall_to_exists_not", "first_order_logic.quantifier_negation.exists_not_to_not_forall", "first_order_logic.quantifier_negation.not_forall_to_exists_not", "first_order_logic.quantifier_negation.exists_not_to_not_fo...
5
null
sample_000095
first_order
2,026,052,297
βˆƒ{x} {Phi}({x}) ∧ βˆƒ{x} {Psi}({x})
60
10
10
[ "first_order_logic.syllogism.sorites.regressive.regressive_aaa_4term", "first_order_logic.syllogism.sorites.progressive.progressive_aaa_4term", "first_order_logic.syllogism.square_of_opposition.subalternation.a_to_i", "first_order_logic.syllogism.sorites.progressive.progressive_iae_4term", "first_order_logi...
5
null
sample_000096
first_order
2,026,052,298
βˆƒ{x} ({Phi}({x}) ∨ {Psi}({x}))
60
10
10
[ "first_order_logic.distribution.exists_or_split", "first_order_logic.distribution.exists_or_merge", "first_order_logic.distribution.exists_or_split", "first_order_logic.scope.exists_or_const_push", "first_order_logic.scope.exists_or_const_pull", "first_order_logic.distribution.exists_or_merge", "first_o...
5
null
sample_000097
first_order
2,026,052,299
βˆƒ{x} {Phi}({x}) ∨ βˆƒ{x} {Psi}({x})
60
10
10
[ "first_order_logic.scope.exists_or_const_push", "first_order_logic.scope.exists_or_const_pull", "first_order_logic.distribution.exists_or_merge", "first_order_logic.distribution.exists_or_split", "first_order_logic.distribution.exists_or_merge", "first_order_logic.distribution.exists_or_split", "first_o...
5
null
sample_000098
first_order
2,026,052,300
βˆ€{x} ({Phi}({x}) ∧ {Psi}({x}))
60
10
10
[ "first_order_logic.derived.universal_proof_by_cases_all", "first_order_logic.uniqueness.exists_unique_expand", "first_order_logic.uniqueness.exists_unique_contract", "first_order_logic.uniqueness.exists_unique_elim", "first_order_logic.equality.symmetry", "first_order_logic.equality.substitution", "firs...
5
null
sample_000099
first_order
2,026,052,301
βˆ€{x} {Phi}({x}) ∧ βˆ€{x} {Psi}({x})
60
10
10
[ "first_order_logic.derived.universal_disjunctive_syllogism_all", "first_order_logic.derived.universal_chain_all", "first_order_logic.derived.universal_syllogism_all", "first_order_logic.derived.universal_proof_by_cases_all", "first_order_logic.quantifier.universal_elim", "first_order_logic.quantifier.univ...
5
null
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