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Cannot load the dataset split (in streaming mode) to extract the first rows.
Error code:   StreamingRowsError
Exception:    CastError
Message:      Couldn't cast
all_sign_partitions: bool
claim_boundary: string
exact_replays: struct<bounded_coordinate_count: int64, bounded_minimum_envelope: string, bounded_negative_envelope_ (... 278 chars omitted)
  child 0, bounded_coordinate_count: int64
  child 1, bounded_minimum_envelope: string
  child 2, bounded_negative_envelope_count: int64
  child 3, bounded_sign_partition_count: int64
  child 4, bounded_two_level_failure_count: int64
  child 5, generalized_coordinate_count: int64
  child 6, generalized_failure_count: int64
  child 7, generalized_negative_envelope_count: int64
  child 8, generalized_sign_partition_count: int64
  child 9, sha_linked_source_count: int64
gates: struct<independent_z3_cvc5_checks: bool, sha_linked_exact_replays: bool, small_residual_families: bo (... 44 chars omitted)
  child 0, independent_z3_cvc5_checks: bool
  child 1, sha_linked_exact_replays: bool
  child 2, small_residual_families: bool
  child 3, symbolic_coefficient_certificates: bool
independent_solver_checks: struct<cvc5_uniform_core_factor_unsat: bool, z3_uniform_core_factor_unsat: bool>
  child 0, cvc5_uniform_core_factor_unsat: bool
  child 1, z3_uniform_core_factor_unsat: bool
open_proof_obligation_count: int64
proof_obligations: list<item: struct<argument: string, id: string, status: string>>
  child 0, item: struct<argument: string, id: string, status: string>
      child 0, argument: string
      child 1, id: string
      child 2, status: string
publication_authorized: bool
small_residual_reuse: 
...
fixed_matching_laplacian_extremal: string
  child 2, one_ke_structure: string
all_supportive_branches: bool
larger_adversarial_replay: struct<graph_count: int64, internal_instance_count: int64, one_ke_failure_count: int64, rank_one_ide (... 144 chars omitted)
  child 0, graph_count: int64
  child 1, internal_instance_count: int64
  child 2, one_ke_failure_count: int64
  child 3, rank_one_identity_count: int64
  child 4, rank_one_identity_failure_count: int64
  child 5, subdivision_invariant_failure_count: int64
  child 6, unexpected_unmatched_route_count: int64
unmatched_receipt: struct<all_gates_passed: bool, open_proof_obligation_count: int64, publication_authorized: bool, res (... 71 chars omitted)
  child 0, all_gates_passed: bool
  child 1, open_proof_obligation_count: int64
  child 2, publication_authorized: bool
  child 3, result_hash_matches_manifest: bool
  child 4, result_sha256: string
  child 5, status: string
lean: struct<decision: struct<action: string, basis: string, unapproved: list<item: null>>, dependencies:  (... 119 chars omitted)
  child 0, decision: struct<action: string, basis: string, unapproved: list<item: null>>
      child 0, action: string
      child 1, basis: string
      child 2, unapproved: list<item: null>
          child 0, item: null
  child 1, dependencies: list<item: string>
      child 0, item: string
  child 2, error_count: int64
  child 3, proof_status: string
  child 4, semantic_proof_graph_hash: string
  child 5, source_sha256: string
to
{'all_supportive_branches': Value('bool'), 'exact_graph_atlas_replay': {'graph_count': Value('int64'), 'internal_only_graph_count': Value('int64'), 'internal_set_instance_count': Value('int64'), 'one_ke_graph_count': Value('int64'), 'original_matrix_psd_failure_count': Value('int64'), 'rank_one_identity_count': Value('int64'), 'rank_one_identity_failure_count': Value('int64'), 'subdivision_invariant_failure_count': Value('int64'), 'subdivision_matrix_psd_failure_count': Value('int64'), 'unmatched_route_graph_count': Value('int64')}, 'gates': {'exact_graph_atlas_subdivision_replay': Value('bool'), 'independent_z3_cvc5_checks': Value('bool'), 'larger_adversarial_internal_only_replay': Value('bool'), 'lean_scalar_kernel_checks': Value('bool'), 'symbolic_rank_one_transfer': Value('bool'), 'unmatched_branch_receipt_verified': Value('bool')}, 'independent_solver_checks': {'cvc5_denominator_counterexample_unsat': Value('bool'), 'z3_denominator_counterexample_unsat': Value('bool')}, 'larger_adversarial_replay': {'graph_count': Value('int64'), 'internal_instance_count': Value('int64'), 'one_ke_failure_count': Value('int64'), 'rank_one_identity_count': Value('int64'), 'rank_one_identity_failure_count': Value('int64'), 'subdivision_invariant_failure_count': Value('int64'), 'unexpected_unmatched_route_count': Value('int64')}, 'lean': {'decision': {'action': Value('string'), 'basis': Value('string'), 'unapproved': List(Value('null'))}, 'dependencies': List(Value('string')), 'error_count': Value('int64'), 'proof_status': Value('string'), 'semantic_proof_graph_hash': Value('string'), 'source_sha256': Value('string')}, 'literature_boundary': {'exact_delta_plus_nu_statement_found_in_targeted_search': Value('bool'), 'fixed_matching_laplacian_extremal': Value('string'), 'one_ke_structure': Value('string')}, 'open_proof_obligation_count': Value('int64'), 'proof_route': {'internal_edge_branch': Value('string'), 'rank_one_identity': Value('string'), 'unmatched_vertex_branch': Value('string')}, 'publication_authorized': Value('bool'), 'status': Value('string'), 'symbolic_checks': {'degree_loss_and_gain_cancel': Value('bool'), 'rank_one_determinant_zero': Value('bool'), 'rank_one_quadratic_identity': Value('bool')}, 'theorem': Value('string'), 'unbounded_graph_order': Value('bool'), 'unmatched_receipt': {'all_gates_passed': Value('bool'), 'open_proof_obligation_count': Value('int64'), 'publication_authorized': Value('bool'), 'result_hash_matches_manifest': Value('bool'), 'result_sha256': Value('string'), 'status': Value('string')}, 'version': Value('string')}
because column names don't match
Traceback:    Traceback (most recent call last):
                File "/src/services/worker/src/worker/utils.py", line 149, in get_rows_or_raise
                  return get_rows(
                      dataset=dataset,
                  ...<4 lines>...
                      column_names=column_names,
                  )
                File "/src/libs/libcommon/src/libcommon/utils.py", line 272, in decorator
                  return func(*args, **kwargs)
                File "/src/services/worker/src/worker/utils.py", line 129, in get_rows
                  rows_plus_one = list(itertools.islice(safe_iter(ds, dataset=dataset), rows_max_number + 1))
                File "/src/services/worker/src/worker/utils.py", line 489, in safe_iter
                  yield from ds.decode(False) if ds.features else ds
                File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 2818, in __iter__
                  for key, example in ex_iterable:
                                      ^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 2355, in __iter__
                  for key, pa_table in self._iter_arrow():
                                       ~~~~~~~~~~~~~~~~^^
                File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 2380, in _iter_arrow
                  for key, pa_table in self.ex_iterable._iter_arrow():
                                       ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^
                File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 536, in _iter_arrow
                  for key, pa_table in iterator:
                                       ^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 419, in _iter_arrow
                  for key, pa_table in self.generate_tables_fn(**gen_kwags):
                                       ~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 343, in _generate_tables
                  self._cast_table(pa_table, json_field_paths=json_field_paths),
                  ~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 132, in _cast_table
                  pa_table = table_cast(pa_table, self.info.features.arrow_schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2369, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2297, in cast_table_to_schema
                  raise CastError(
                  ...<3 lines>...
                  )
              datasets.table.CastError: Couldn't cast
              all_sign_partitions: bool
              claim_boundary: string
              exact_replays: struct<bounded_coordinate_count: int64, bounded_minimum_envelope: string, bounded_negative_envelope_ (... 278 chars omitted)
                child 0, bounded_coordinate_count: int64
                child 1, bounded_minimum_envelope: string
                child 2, bounded_negative_envelope_count: int64
                child 3, bounded_sign_partition_count: int64
                child 4, bounded_two_level_failure_count: int64
                child 5, generalized_coordinate_count: int64
                child 6, generalized_failure_count: int64
                child 7, generalized_negative_envelope_count: int64
                child 8, generalized_sign_partition_count: int64
                child 9, sha_linked_source_count: int64
              gates: struct<independent_z3_cvc5_checks: bool, sha_linked_exact_replays: bool, small_residual_families: bo (... 44 chars omitted)
                child 0, independent_z3_cvc5_checks: bool
                child 1, sha_linked_exact_replays: bool
                child 2, small_residual_families: bool
                child 3, symbolic_coefficient_certificates: bool
              independent_solver_checks: struct<cvc5_uniform_core_factor_unsat: bool, z3_uniform_core_factor_unsat: bool>
                child 0, cvc5_uniform_core_factor_unsat: bool
                child 1, z3_uniform_core_factor_unsat: bool
              open_proof_obligation_count: int64
              proof_obligations: list<item: struct<argument: string, id: string, status: string>>
                child 0, item: struct<argument: string, id: string, status: string>
                    child 0, argument: string
                    child 1, id: string
                    child 2, status: string
              publication_authorized: bool
              small_residual_reuse: 
              ...
              fixed_matching_laplacian_extremal: string
                child 2, one_ke_structure: string
              all_supportive_branches: bool
              larger_adversarial_replay: struct<graph_count: int64, internal_instance_count: int64, one_ke_failure_count: int64, rank_one_ide (... 144 chars omitted)
                child 0, graph_count: int64
                child 1, internal_instance_count: int64
                child 2, one_ke_failure_count: int64
                child 3, rank_one_identity_count: int64
                child 4, rank_one_identity_failure_count: int64
                child 5, subdivision_invariant_failure_count: int64
                child 6, unexpected_unmatched_route_count: int64
              unmatched_receipt: struct<all_gates_passed: bool, open_proof_obligation_count: int64, publication_authorized: bool, res (... 71 chars omitted)
                child 0, all_gates_passed: bool
                child 1, open_proof_obligation_count: int64
                child 2, publication_authorized: bool
                child 3, result_hash_matches_manifest: bool
                child 4, result_sha256: string
                child 5, status: string
              lean: struct<decision: struct<action: string, basis: string, unapproved: list<item: null>>, dependencies:  (... 119 chars omitted)
                child 0, decision: struct<action: string, basis: string, unapproved: list<item: null>>
                    child 0, action: string
                    child 1, basis: string
                    child 2, unapproved: list<item: null>
                        child 0, item: null
                child 1, dependencies: list<item: string>
                    child 0, item: string
                child 2, error_count: int64
                child 3, proof_status: string
                child 4, semantic_proof_graph_hash: string
                child 5, source_sha256: string
              to
              {'all_supportive_branches': Value('bool'), 'exact_graph_atlas_replay': {'graph_count': Value('int64'), 'internal_only_graph_count': Value('int64'), 'internal_set_instance_count': Value('int64'), 'one_ke_graph_count': Value('int64'), 'original_matrix_psd_failure_count': Value('int64'), 'rank_one_identity_count': Value('int64'), 'rank_one_identity_failure_count': Value('int64'), 'subdivision_invariant_failure_count': Value('int64'), 'subdivision_matrix_psd_failure_count': Value('int64'), 'unmatched_route_graph_count': Value('int64')}, 'gates': {'exact_graph_atlas_subdivision_replay': Value('bool'), 'independent_z3_cvc5_checks': Value('bool'), 'larger_adversarial_internal_only_replay': Value('bool'), 'lean_scalar_kernel_checks': Value('bool'), 'symbolic_rank_one_transfer': Value('bool'), 'unmatched_branch_receipt_verified': Value('bool')}, 'independent_solver_checks': {'cvc5_denominator_counterexample_unsat': Value('bool'), 'z3_denominator_counterexample_unsat': Value('bool')}, 'larger_adversarial_replay': {'graph_count': Value('int64'), 'internal_instance_count': Value('int64'), 'one_ke_failure_count': Value('int64'), 'rank_one_identity_count': Value('int64'), 'rank_one_identity_failure_count': Value('int64'), 'subdivision_invariant_failure_count': Value('int64'), 'unexpected_unmatched_route_count': Value('int64')}, 'lean': {'decision': {'action': Value('string'), 'basis': Value('string'), 'unapproved': List(Value('null'))}, 'dependencies': List(Value('string')), 'error_count': Value('int64'), 'proof_status': Value('string'), 'semantic_proof_graph_hash': Value('string'), 'source_sha256': Value('string')}, 'literature_boundary': {'exact_delta_plus_nu_statement_found_in_targeted_search': Value('bool'), 'fixed_matching_laplacian_extremal': Value('string'), 'one_ke_structure': Value('string')}, 'open_proof_obligation_count': Value('int64'), 'proof_route': {'internal_edge_branch': Value('string'), 'rank_one_identity': Value('string'), 'unmatched_vertex_branch': Value('string')}, 'publication_authorized': Value('bool'), 'status': Value('string'), 'symbolic_checks': {'degree_loss_and_gain_cancel': Value('bool'), 'rank_one_determinant_zero': Value('bool'), 'rank_one_quadratic_identity': Value('bool')}, 'theorem': Value('string'), 'unbounded_graph_order': Value('bool'), 'unmatched_receipt': {'all_gates_passed': Value('bool'), 'open_proof_obligation_count': Value('int64'), 'publication_authorized': Value('bool'), 'result_hash_matches_manifest': Value('bool'), 'result_sha256': Value('string'), 'status': Value('string')}, 'version': Value('string')}
              because column names don't match

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Laplacian Matching Theorem Frontier v18

This immutable successor to v17 is independently reproduced end to end. It packages the complete computational dependency closure behind the one-Konig-Egervary theorem archive: exact input rows, symbolic checks, Z3, cvc5, Lean 4.32.0, graph-atlas replay, adversarial replay, Hall-polynomial replay, paper source, and SHA-backed expected outputs.

Run the pinned workflow with the command in REPRODUCE.md. Reproduction verifies the archive's computational evidence; it is not an independent proof of the mathematical theorem or priority.

Predecessor: cjc0013/laplacian-matching-theorem-frontier-v17@fbc35ddcfd42645f734e072a0600937de286d43d.

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