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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 datasetNeed help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.
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 | β{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 | β{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 | β{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 | β{x} ({Phi}({x}) β§ {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 | β!{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¬β{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¬β{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 | β{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 | β{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 | β{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 | β{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 | β{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 | β{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 | β{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 | β{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 | β{x} {Phi}({x}) β§ β{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 | β{x} ({Phi}({x}) β¨ {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 | β{x} {Phi}({x}) β¨ β{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 | β{x} ({Phi}({x}) β§ {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 | β{x} {Phi}({x}) β§ β{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 | β{x} ({Phi}({x}) β¨ {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 | β{y} β{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 | β{y} β{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¬β{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¬β{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 | β{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 | β{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 | β{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 | β{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 | β{x} {Phi}({x}) β§ {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 | β{x} ({Phi}({x}) β§ {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 β{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 | β{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 | β{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 | β{x} {Phi}({x}) β¨ {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 | β{x} ({Phi}({x}) β¨ {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 | β{x} {Phi}({x}) β§ {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 | β{x} ({Phi}({x}) β§ {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 β{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 | β{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 | β{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 | β{x} {Phi}({x}) β¨ {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 | β{x} ({Phi}({x}) β¨ {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 | β{x} ({S}({x}) β§ {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 | β{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 | β{x} ({S}({x}) β§ 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 | β{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 | β{x} ({A}({x}) β§ {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 | β{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 | β{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 | β{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 | β{x} ({A}({x}) β§ 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 | β{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 | β{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 | β{x} ({A}({x}) β§ {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 | β{x} ({A}({x}) β§ 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¬β{x} ({S}({x}) β§ 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¬β{x} ({S}({x}) β§ {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¬β{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¬β{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 | β{x} ({Phi}({x}) β§ β{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 | β{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 | β{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 | β{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 | β{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 | β{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 | β{x} ({Phi}({x}) β§ {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 | β!{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¬β{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¬β{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 | β{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 | β{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 | β{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 | β{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 | β{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 | β{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 | β{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 | β{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 | β{x} {Phi}({x}) β§ β{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 | β{x} ({Phi}({x}) β¨ {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 | β{x} {Phi}({x}) β¨ β{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 | β{x} ({Phi}({x}) β§ {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 | β{x} {Phi}({x}) β§ β{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 |
End of preview.
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