Record 14 verified HPC batch manifests
Browse files- manifests/batches/numina/000500.json +76 -0
- manifests/batches/numina/000519.json +62 -0
- manifests/batches/numina/000526.json +58 -0
- manifests/batches/numina/000530.json +45 -0
- manifests/batches/numina/000535.json +51 -0
- manifests/batches/numina/000536.json +51 -0
- manifests/batches/numina/000537.json +52 -0
- manifests/batches/numina/000539.json +70 -0
- manifests/batches/numina/000540.json +44 -0
- manifests/batches/numina/000541.json +45 -0
- manifests/batches/numina/000543.json +52 -0
- manifests/batches/numina/000544.json +58 -0
- manifests/batches/numina/000546.json +51 -0
- manifests/batches/numina/000549.json +51 -0
manifests/batches/numina/000500.json
ADDED
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@@ -0,0 +1,76 @@
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| 1 |
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{
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"format": "leangpt-parquet-v2",
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| 3 |
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"batch": "numina/000500",
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| 4 |
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"batch_fingerprint": "4e4711ce02b6fdf443d54bee72753f0924c487f1a1f31a1392968a5548c2a0c0",
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"evidence": {
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| 6 |
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"batch_fingerprint": "4e4711ce02b6fdf443d54bee72753f0924c487f1a1f31a1392968a5548c2a0c0",
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| 7 |
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"bundle_error": "helper declarations require isolated extraction",
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| 8 |
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"contamination_matches": [],
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| 9 |
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"failures": [
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| 10 |
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{
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| 11 |
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"id": "3343cd52-8be0-53c3-8edd-35a8ae0f785d",
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| 12 |
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"index": 2503,
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| 13 |
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"reason": "missing_trace",
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| 14 |
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"selection": {
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| 15 |
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"file_path": "Full/Proof_002503.lean",
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| 16 |
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"id": "3343cd52-8be0-53c3-8edd-35a8ae0f785d",
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| 17 |
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"index": 2503,
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| 18 |
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"metadata": {
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| 19 |
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"declaration_kind": "theorem",
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| 20 |
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"source_dataset": "numina",
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| 21 |
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"theorem_name": "number_theory_607462",
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| 22 |
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"theorem_ordinal": 0
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},
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| 24 |
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"source_sha256": "cec760bf4e31b99f6e843e69715f9d29d9aeec04177e8b7eddca82f7a08c41fc"
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| 25 |
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},
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| 26 |
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"source_file": "Full/Proof_002503.lean"
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| 27 |
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}
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| 28 |
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],
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| 29 |
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"input_proofs": 5,
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| 30 |
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"input_units": 5,
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| 31 |
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"proofs": 4,
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| 32 |
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"published_proofs": 4,
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| 33 |
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"published_transitions": 26,
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| 34 |
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"replay_failures": [],
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| 35 |
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"trace_mode": "individual",
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| 36 |
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"transitions": 26,
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| 37 |
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"validation_failures": [],
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| 38 |
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"validation_rejected_proofs": 0,
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| 39 |
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"zero_transition_proofs": 0
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| 40 |
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},
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| 41 |
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"shards": [
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| 42 |
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{
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| 43 |
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"path": "data/train/numina-000500-0000-018c471a84340ce9.parquet",
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| 44 |
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"sha256": "018c471a84340ce9b267586912e8edcdcf049b154f2a0736895429eabe2d9e12",
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| 45 |
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"bytes": 863919,
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| 46 |
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"rows": 6,
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| 47 |
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"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
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},
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| 49 |
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{
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| 50 |
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"path": "data/train/numina-000500-0001-b02df2e9ecc2c8f6.parquet",
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| 51 |
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"sha256": "b02df2e9ecc2c8f66d53b0d316f6d724ae5e53b451352dc589a9c80c708a6eec",
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| 52 |
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"bytes": 119132,
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| 53 |
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"rows": 8,
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| 54 |
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"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
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| 55 |
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},
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| 56 |
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{
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| 57 |
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"path": "data/internal_test/numina-000500-0000-516f271ea1a4ea71.parquet",
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| 58 |
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"sha256": "516f271ea1a4ea713abdb48abc7c31cf2744cc7212942d5222114f4ea2ec4d4b",
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| 59 |
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"bytes": 109969,
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| 60 |
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"rows": 12,
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| 61 |
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"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
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| 62 |
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}
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| 63 |
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],
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| 64 |
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"proof_ids": [
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| 65 |
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"numina:3148926d-e2d0-5606-9d88-7dbe263db6eb",
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| 66 |
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"numina:40f22942-0fb9-5292-99d2-6f39519c757f",
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| 67 |
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"numina:54295987-cb3e-5efc-969f-ae3d977f6021",
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| 68 |
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"numina:c55e9991-934c-59bb-b93c-54a51f54f13a"
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| 69 |
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],
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| 70 |
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"proof_keys": [
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| 71 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002500.lean\",\"3986e9c305997999f2c460070743c6f48a7b8d2c852ef3455a9349d2d3749c96\",1,\"logic_and_puzzles_2012345\"]",
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| 72 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002501.lean\",\"8a7a1ff95c4626a32325d7c9cec87c8196fcb79b750a5e3df18a0ef71cff5f40\",0,\"number_theory_607457\"]",
|
| 73 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002502.lean\",\"462f67f01b9f5ccc1139d8dbc3fd348a09369b53877efb72b5f82db55c6dc73c\",0,\"number_theory_108637\"]",
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| 74 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002504.lean\",\"5fe0ff8864a01fdd257de3b57498419999bf5818131d24997d1b181e80d43228\",0,\"algebra_607471\"]"
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| 75 |
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]
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| 76 |
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}
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manifests/batches/numina/000519.json
ADDED
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@@ -0,0 +1,62 @@
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| 1 |
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{
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| 2 |
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"format": "leangpt-parquet-v2",
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| 3 |
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"batch": "numina/000519",
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| 4 |
+
"batch_fingerprint": "81428087bd0590dbf4678589173694d3d17f6ad416719681e11fd6b6792c860e",
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| 5 |
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"evidence": {
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| 6 |
+
"batch_fingerprint": "81428087bd0590dbf4678589173694d3d17f6ad416719681e11fd6b6792c860e",
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| 7 |
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"bundle_error": "bundled Lean extraction failed",
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| 8 |
+
"contamination_matches": [],
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| 9 |
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"failures": [
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| 10 |
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{
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| 11 |
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"id": "08549f1f-4357-5606-9163-7fef8a61d4db",
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| 12 |
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"index": 2595,
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| 13 |
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"reason": "missing_trace",
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| 14 |
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"selection": {
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| 15 |
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"file_path": "Full/Proof_002595.lean",
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| 16 |
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"id": "08549f1f-4357-5606-9163-7fef8a61d4db",
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| 17 |
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"index": 2595,
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| 18 |
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"metadata": {
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| 19 |
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"declaration_kind": "theorem",
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| 20 |
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"source_dataset": "numina",
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| 21 |
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"theorem_name": "algebra_608375",
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| 22 |
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"theorem_ordinal": 0
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| 23 |
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},
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| 24 |
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"source_sha256": "60a4b1fedd9191a5bc90b13cc3095881c7db854a1e553395e0315bb4bb894f7c"
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| 25 |
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},
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| 26 |
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"source_file": "Full/Proof_002595.lean"
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| 27 |
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}
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| 28 |
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],
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| 29 |
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"input_proofs": 5,
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| 30 |
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"input_units": 5,
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| 31 |
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"proofs": 4,
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| 32 |
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"published_proofs": 4,
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| 33 |
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"published_transitions": 32,
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| 34 |
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"replay_failures": [],
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| 35 |
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"trace_mode": "individual",
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| 36 |
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"transitions": 32,
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| 37 |
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"validation_failures": [],
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| 38 |
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"validation_rejected_proofs": 0,
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| 39 |
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"zero_transition_proofs": 0
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| 40 |
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},
|
| 41 |
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"shards": [
|
| 42 |
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{
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| 43 |
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"path": "data/train/numina-000519-0000-053d8ec86662e629.parquet",
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| 44 |
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"sha256": "053d8ec86662e629cbc501fa60b00913f1b13285004611d4343454b35706b3b4",
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| 45 |
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"bytes": 568937,
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| 46 |
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"rows": 32,
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| 47 |
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"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
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| 48 |
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}
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| 49 |
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],
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| 50 |
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"proof_ids": [
|
| 51 |
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"numina:53a30336-e104-5a36-ab68-7fea5cd5577c",
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| 52 |
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"numina:99fdbb07-aca5-5a93-b23b-337013c17c2c",
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| 53 |
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"numina:c89e2949-8475-535b-b0bd-2b30524e1e64",
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| 54 |
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"numina:eb183f22-245d-5392-aa81-36d2af38a8cd"
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| 55 |
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],
|
| 56 |
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"proof_keys": [
|
| 57 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002596.lean\",\"d9d628b2961c6a18efe2e4c0e24c8abd3a02afce1c0b0bb0611fbf32caaeb7f4\",0,\"Combinatorics_608374\"]",
|
| 58 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002597.lean\",\"e1ae1026f4709caccb7b98017b04ba03e3ea4abdcb747c2032e4781e4c70f8b4\",0,\"number_theory_608375.number_theory_608375\"]",
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| 59 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002598.lean\",\"f99f3f6bc7d8dbc7ee9eee4b594015522d09d9e461a732695ac3344d06f72e30\",0,\"algebra_608376\"]",
|
| 60 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002599.lean\",\"879ca13dd31345925048aec630d0f4a2a97a8f7383bc022f8dd6cafaf0975d6f\",0,\"number_theory_608377\"]"
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| 61 |
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]
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| 62 |
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}
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manifests/batches/numina/000526.json
ADDED
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@@ -0,0 +1,58 @@
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| 1 |
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{
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| 2 |
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"format": "leangpt-parquet-v2",
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| 3 |
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"batch": "numina/000526",
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| 4 |
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"batch_fingerprint": "d639be204953ca9e81ede92ad162cc3d493bb1bac01d2973294e940b4852bfa3",
|
| 5 |
+
"evidence": {
|
| 6 |
+
"batch_fingerprint": "d639be204953ca9e81ede92ad162cc3d493bb1bac01d2973294e940b4852bfa3",
|
| 7 |
+
"contamination_matches": [],
|
| 8 |
+
"failures": [],
|
| 9 |
+
"input_proofs": 5,
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| 10 |
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"input_units": 5,
|
| 11 |
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"proofs": 5,
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| 12 |
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"published_proofs": 5,
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| 13 |
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"published_transitions": 96,
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| 14 |
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"replay_failures": [],
|
| 15 |
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"trace_mode": "bundle",
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| 16 |
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"transitions": 96,
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| 17 |
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"validation_failures": [],
|
| 18 |
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"validation_rejected_proofs": 0,
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| 19 |
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"zero_transition_proofs": 0
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| 20 |
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},
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| 21 |
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"shards": [
|
| 22 |
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{
|
| 23 |
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"path": "data/train/numina-000526-0000-524c355414e48848.parquet",
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| 24 |
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"sha256": "524c355414e48848c45a7a17dffa893cff413977e1ba308bbd25285883e9f48a",
|
| 25 |
+
"bytes": 634232,
|
| 26 |
+
"rows": 67,
|
| 27 |
+
"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
|
| 28 |
+
},
|
| 29 |
+
{
|
| 30 |
+
"path": "data/train/numina-000526-0001-22a1d3a496bddfab.parquet",
|
| 31 |
+
"sha256": "22a1d3a496bddfab2faf157cdc63f0ae67f2669027897f99c0a3b098b90e587e",
|
| 32 |
+
"bytes": 285375,
|
| 33 |
+
"rows": 22,
|
| 34 |
+
"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
|
| 35 |
+
},
|
| 36 |
+
{
|
| 37 |
+
"path": "data/internal_test/numina-000526-0000-0d39b18291a8b735.parquet",
|
| 38 |
+
"sha256": "0d39b18291a8b735c7b3aebc744b970cf292cf10777de78c6994575143f6ee6e",
|
| 39 |
+
"bytes": 37659,
|
| 40 |
+
"rows": 7,
|
| 41 |
+
"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
|
| 42 |
+
}
|
| 43 |
+
],
|
| 44 |
+
"proof_ids": [
|
| 45 |
+
"numina:61beb2f0-db34-5815-b3b0-5319358c32a8",
|
| 46 |
+
"numina:d216d06e-fa09-5caa-8b05-782589d6cf32",
|
| 47 |
+
"numina:eec11259-1ba3-57c2-8fbd-7838dcc76ecd",
|
| 48 |
+
"numina:f606fb95-b4df-5e8b-9292-02e2ddec8b3a",
|
| 49 |
+
"numina:f6b894f9-28f0-594b-81de-2c7fbf315b87"
|
| 50 |
+
],
|
| 51 |
+
"proof_keys": [
|
| 52 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002630.lean\",\"8c6342766fcb208540c39028ca59aeb88eaf47edf8eaa1a556b2623b2b656a95\",0,\"algebra_608512\"]",
|
| 53 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002631.lean\",\"5cde152ad6587ef6f39070c22930eba25120569798824347ec2e20814ed65e7c\",0,\"algebra_608514\"]",
|
| 54 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002632.lean\",\"6dda384e665d5364c1c4caa0866daf72bde95d8cf3f57d0da579b6f1ea89df88\",0,\"number_theory_608527\"]",
|
| 55 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002633.lean\",\"d7bb2ad15489d4dee3f68ff87618778224003013fa459ef84ee99447348f0f3a\",0,\"algebra_608528\"]",
|
| 56 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002634.lean\",\"565a8d49353b7079ce468359bfa8b61f3621364a260aa75e14ec95382f82cfde\",0,\"algebra_608531\"]"
|
| 57 |
+
]
|
| 58 |
+
}
|
manifests/batches/numina/000530.json
ADDED
|
@@ -0,0 +1,45 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"format": "leangpt-parquet-v2",
|
| 3 |
+
"batch": "numina/000530",
|
| 4 |
+
"batch_fingerprint": "26d9500b258357344eb4028d4775b976da7e0b19516aa1096b221f2fc9a3b684",
|
| 5 |
+
"evidence": {
|
| 6 |
+
"batch_fingerprint": "26d9500b258357344eb4028d4775b976da7e0b19516aa1096b221f2fc9a3b684",
|
| 7 |
+
"bundle_error": "helper declarations require isolated extraction",
|
| 8 |
+
"contamination_matches": [],
|
| 9 |
+
"failures": [],
|
| 10 |
+
"input_proofs": 5,
|
| 11 |
+
"input_units": 5,
|
| 12 |
+
"proofs": 5,
|
| 13 |
+
"published_proofs": 5,
|
| 14 |
+
"published_transitions": 63,
|
| 15 |
+
"replay_failures": [],
|
| 16 |
+
"trace_mode": "individual",
|
| 17 |
+
"transitions": 63,
|
| 18 |
+
"validation_failures": [],
|
| 19 |
+
"validation_rejected_proofs": 0,
|
| 20 |
+
"zero_transition_proofs": 0
|
| 21 |
+
},
|
| 22 |
+
"shards": [
|
| 23 |
+
{
|
| 24 |
+
"path": "data/train/numina-000530-0000-5f4449f72b1a0e84.parquet",
|
| 25 |
+
"sha256": "5f4449f72b1a0e84e3c4e5ab87ac2a6500df500c5ab9c9d5d023eb6d9bf254b0",
|
| 26 |
+
"bytes": 560944,
|
| 27 |
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"rows": 63,
|
| 28 |
+
"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
|
| 29 |
+
}
|
| 30 |
+
],
|
| 31 |
+
"proof_ids": [
|
| 32 |
+
"numina:0d07772c-6939-5582-8c71-20aaa133f1d1",
|
| 33 |
+
"numina:56ddd9ea-2f32-530c-9360-a850a6c7d7df",
|
| 34 |
+
"numina:a1664b3b-7694-5843-9216-bebf4af0b07b",
|
| 35 |
+
"numina:ab0813b1-50da-51ce-8a48-4c650106403f",
|
| 36 |
+
"numina:f2bfdb4f-ec42-5b4e-a03f-a30e829006d2"
|
| 37 |
+
],
|
| 38 |
+
"proof_keys": [
|
| 39 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002650.lean\",\"5225a36fb001c8c342e7a2ae82938a025815307568bc883abdcdcef50bae6a19\",4,\"algebra_608635\"]",
|
| 40 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002651.lean\",\"d8e1b1db1e3fc110d79f612b710eedd5743029650f6850a544fbd18c4ba2d36d\",15,\"number_theory_608644\"]",
|
| 41 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002652.lean\",\"773bc4fa8f1f69f314b4c1f16633e9af8fb823b3d364d1add3ce9281fa6613b4\",0,\"combinatorics_608647\"]",
|
| 42 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002653.lean\",\"c31d238f5ee9f5430ae2574601e181824d5e53dcafeeeda2d65786be20423b10\",0,\"number_theory_608658\"]",
|
| 43 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002654.lean\",\"e041f6d95ac42604c74cb02ffdaeb1265069edf1ffc0c6fe9f01f505c99d5745\",0,\"algebra_608667\"]"
|
| 44 |
+
]
|
| 45 |
+
}
|
manifests/batches/numina/000535.json
ADDED
|
@@ -0,0 +1,51 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"format": "leangpt-parquet-v2",
|
| 3 |
+
"batch": "numina/000535",
|
| 4 |
+
"batch_fingerprint": "ffc5c6866c8b4555266f16bcdd596eb2fe6caf13af09df68da4a995f03a9cfef",
|
| 5 |
+
"evidence": {
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| 6 |
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"batch_fingerprint": "ffc5c6866c8b4555266f16bcdd596eb2fe6caf13af09df68da4a995f03a9cfef",
|
| 7 |
+
"contamination_matches": [],
|
| 8 |
+
"failures": [],
|
| 9 |
+
"input_proofs": 5,
|
| 10 |
+
"input_units": 5,
|
| 11 |
+
"proofs": 5,
|
| 12 |
+
"published_proofs": 5,
|
| 13 |
+
"published_transitions": 34,
|
| 14 |
+
"replay_failures": [],
|
| 15 |
+
"trace_mode": "bundle",
|
| 16 |
+
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|
| 17 |
+
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|
| 18 |
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|
| 19 |
+
"zero_transition_proofs": 0
|
| 20 |
+
},
|
| 21 |
+
"shards": [
|
| 22 |
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{
|
| 23 |
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"path": "data/train/numina-000535-0000-23ae02dc62b9a092.parquet",
|
| 24 |
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"sha256": "23ae02dc62b9a092d496b9aa5822c5fb5f0f28e76528723a88d38dd1376bfcdd",
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| 25 |
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| 26 |
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| 27 |
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|
| 28 |
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},
|
| 29 |
+
{
|
| 30 |
+
"path": "data/internal_test/numina-000535-0000-782c8819e2e9ea60.parquet",
|
| 31 |
+
"sha256": "782c8819e2e9ea60caca3a4e7a05c4558910953b2fecc4e3a6e14a39b3127e95",
|
| 32 |
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|
| 33 |
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|
| 34 |
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"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
|
| 35 |
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}
|
| 36 |
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],
|
| 37 |
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"proof_ids": [
|
| 38 |
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"numina:25de320b-0be5-5135-ab21-5f1d4b7a4e15",
|
| 39 |
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"numina:5c5270c8-d7b2-5fea-802f-980391fd128c",
|
| 40 |
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"numina:64c4d865-1bfc-57af-9c0b-032ab4639ed3",
|
| 41 |
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"numina:6db57acb-7c30-5a38-9913-008af859203c",
|
| 42 |
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"numina:799cf1c0-9479-5f2f-ace2-b07e1487d6f6"
|
| 43 |
+
],
|
| 44 |
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"proof_keys": [
|
| 45 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002675.lean\",\"704d8cedb23a5e86fc335834c4609e9d16bc98d9342dfbe8eaf920e23c4ce0f1\",0,\"algebra_608830\"]",
|
| 46 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002676.lean\",\"fafc57e45a1580bbbad79c4fc4d1558fd98c8cfdd117e4ee255560f8bcf2c28b\",0,\"number_theory_608832\"]",
|
| 47 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002677.lean\",\"2061fdbb7bafd9da6063d7f47ae5269bb322bcd59eadc9b20f5222cb144e1101\",0,\"combinatorics_608849\"]",
|
| 48 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002678.lean\",\"3a0db5a0332da59ea50bb742f4867aea0fc134370d07149508c08fc879bbd9bc\",0,\"combinatorics_608870\"]",
|
| 49 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002679.lean\",\"90e4c0b4b2f0f629a20f5400db4f83f781cc0b6eeedc0be2741cd9b5258c10a0\",0,\"number_theory_608900\"]"
|
| 50 |
+
]
|
| 51 |
+
}
|
manifests/batches/numina/000536.json
ADDED
|
@@ -0,0 +1,51 @@
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|
|
|
|
|
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|
|
|
|
|
|
|
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|
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|
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|
|
|
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|
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|
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|
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|
| 1 |
+
{
|
| 2 |
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"format": "leangpt-parquet-v2",
|
| 3 |
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"batch": "numina/000536",
|
| 4 |
+
"batch_fingerprint": "0d0bc342dd99c3c1ef32622cafe6fd47a41b793b40f28920ecc61945b9ed0c48",
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| 5 |
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| 7 |
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| 8 |
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| 9 |
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| 10 |
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| 11 |
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| 12 |
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| 13 |
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|
| 14 |
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| 15 |
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| 16 |
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| 17 |
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| 18 |
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| 19 |
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| 20 |
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},
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| 21 |
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"shards": [
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| 22 |
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{
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| 23 |
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"path": "data/train/numina-000536-0000-92b0b7a072fdd8e7.parquet",
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| 24 |
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"sha256": "92b0b7a072fdd8e7cec6ce2c21c5ec2cc0f8d84d10d7c6e92943c81fdedee34a",
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| 28 |
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| 29 |
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{
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| 30 |
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"path": "data/internal_test/numina-000536-0000-48904c8bb1ec1892.parquet",
|
| 31 |
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| 32 |
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| 33 |
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| 34 |
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|
| 35 |
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| 36 |
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],
|
| 37 |
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"proof_ids": [
|
| 38 |
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|
| 39 |
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| 40 |
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| 41 |
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|
| 42 |
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|
| 43 |
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],
|
| 44 |
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"proof_keys": [
|
| 45 |
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|
| 46 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002681.lean\",\"d07e770e12acae1aa24792f9173076edb16015a2da322ee28a5995116f119e1f\",0,\"number_theory_608903\"]",
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| 47 |
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|
| 48 |
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|
| 49 |
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|
| 50 |
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]
|
| 51 |
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}
|
manifests/batches/numina/000537.json
ADDED
|
@@ -0,0 +1,52 @@
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|
| 1 |
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{
|
| 2 |
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"format": "leangpt-parquet-v2",
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| 3 |
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"batch": "numina/000537",
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| 4 |
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| 5 |
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| 7 |
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| 8 |
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| 9 |
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| 10 |
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| 11 |
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| 12 |
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|
| 13 |
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| 14 |
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|
| 15 |
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|
| 16 |
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|
| 17 |
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|
| 18 |
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|
| 19 |
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| 20 |
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| 21 |
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| 22 |
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|
| 31 |
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"path": "data/internal_test/numina-000537-0000-5c14a62980561794.parquet",
|
| 32 |
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"sha256": "5c14a62980561794e0b663c88f11da97fbe8ebe5baeb1837d070a6d47b068431",
|
| 33 |
+
"bytes": 44477,
|
| 34 |
+
"rows": 3,
|
| 35 |
+
"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
|
| 36 |
+
}
|
| 37 |
+
],
|
| 38 |
+
"proof_ids": [
|
| 39 |
+
"numina:699e4b69-ae80-5d83-9329-f2d59c1ab479",
|
| 40 |
+
"numina:91dc32fd-7dab-5c9b-9329-4cb8f6423b82",
|
| 41 |
+
"numina:991495f8-0e69-5377-826a-bc99f000bfac",
|
| 42 |
+
"numina:bba8bd40-c2c2-5b43-be0d-c8557981c14b",
|
| 43 |
+
"numina:c152860b-b98a-59f5-a8f2-af00e05de28b"
|
| 44 |
+
],
|
| 45 |
+
"proof_keys": [
|
| 46 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002685.lean\",\"bfce66d23abe82e697c0a13b5a2fe1c442a8f90e055c4faa1ed69c67658dc8c7\",0,\"combinatorics_608915\"]",
|
| 47 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002686.lean\",\"3e3884243892586d312df78a0eea70bed0443ec355ac6a81970e46aeeeedb9e8\",0,\"combinatorics_608929\"]",
|
| 48 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002687.lean\",\"459415f690362422d66351f6b38a28ac063139e3e8ce6e7c8738e324fad0810e\",0,\"number_theory_608939\"]",
|
| 49 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002688.lean\",\"892113bc4c9d461cf8c67ba547b33849b3e36d4ce0d25c248ca8954eb20c4c49\",0,\"algebra_608941\"]",
|
| 50 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002689.lean\",\"0a50292827d03cd88a5e301711974bb26f4310f5e625dcbcddf1ae22960d8ce9\",3,\"final_answer_is_222480_comp\"]"
|
| 51 |
+
]
|
| 52 |
+
}
|
manifests/batches/numina/000539.json
ADDED
|
@@ -0,0 +1,70 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"format": "leangpt-parquet-v2",
|
| 3 |
+
"batch": "numina/000539",
|
| 4 |
+
"batch_fingerprint": "65ebeac970110a214f4069b291b2cbfd506e9b4d5fb73737cb08ec1c5d917009",
|
| 5 |
+
"evidence": {
|
| 6 |
+
"batch_fingerprint": "65ebeac970110a214f4069b291b2cbfd506e9b4d5fb73737cb08ec1c5d917009",
|
| 7 |
+
"bundle_error": "helper declarations require isolated extraction",
|
| 8 |
+
"contamination_matches": [],
|
| 9 |
+
"failures": [
|
| 10 |
+
{
|
| 11 |
+
"error": "missing",
|
| 12 |
+
"id": "5448eed8-0238-5c1a-9bcc-143755ae842b",
|
| 13 |
+
"index": 2699,
|
| 14 |
+
"reason": "import_failure",
|
| 15 |
+
"selection": {
|
| 16 |
+
"file_path": "Full/Proof_002699.lean",
|
| 17 |
+
"id": "5448eed8-0238-5c1a-9bcc-143755ae842b",
|
| 18 |
+
"index": 2699,
|
| 19 |
+
"metadata": {
|
| 20 |
+
"declaration_kind": "theorem",
|
| 21 |
+
"source_dataset": "numina",
|
| 22 |
+
"theorem_name": "polynomial_evaluation",
|
| 23 |
+
"theorem_ordinal": 0
|
| 24 |
+
},
|
| 25 |
+
"source_sha256": "9b228b7465635d7df53ddf79750e2a48175d43e909f3c80755b7b5fcb01894c2"
|
| 26 |
+
},
|
| 27 |
+
"source_file": "Full/Proof_002699.lean"
|
| 28 |
+
}
|
| 29 |
+
],
|
| 30 |
+
"input_proofs": 5,
|
| 31 |
+
"input_units": 5,
|
| 32 |
+
"proofs": 4,
|
| 33 |
+
"published_proofs": 4,
|
| 34 |
+
"published_transitions": 22,
|
| 35 |
+
"replay_failures": [],
|
| 36 |
+
"trace_mode": "individual",
|
| 37 |
+
"transitions": 22,
|
| 38 |
+
"validation_failures": [],
|
| 39 |
+
"validation_rejected_proofs": 0,
|
| 40 |
+
"zero_transition_proofs": 0
|
| 41 |
+
},
|
| 42 |
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"shards": [
|
| 43 |
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{
|
| 44 |
+
"path": "data/train/numina-000539-0000-0f357638c6f6bf1e.parquet",
|
| 45 |
+
"sha256": "0f357638c6f6bf1e564446ec066ec44faabda4e7185a3763933d97dfb6d944a7",
|
| 46 |
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"bytes": 46792,
|
| 47 |
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"rows": 6,
|
| 48 |
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"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
|
| 49 |
+
},
|
| 50 |
+
{
|
| 51 |
+
"path": "data/internal_test/numina-000539-0000-90bf907f1ef0652e.parquet",
|
| 52 |
+
"sha256": "90bf907f1ef0652e840a6d303f157fc9ef3d3c452ba26dfaaeba30ac218d9fd6",
|
| 53 |
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"bytes": 140123,
|
| 54 |
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"rows": 16,
|
| 55 |
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"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
|
| 56 |
+
}
|
| 57 |
+
],
|
| 58 |
+
"proof_ids": [
|
| 59 |
+
"numina:644e9d00-ee49-5950-87c1-20b1731f53cd",
|
| 60 |
+
"numina:7328e8bc-b488-5dfc-a133-91fb9f0c7948",
|
| 61 |
+
"numina:aefaab5d-28db-5761-81d3-ae3ea5e9052d",
|
| 62 |
+
"numina:e1281a65-fb94-5a9b-a270-b7a4055be775"
|
| 63 |
+
],
|
| 64 |
+
"proof_keys": [
|
| 65 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002695.lean\",\"40412d8085ce18a087f373463aa39b78cb8d58792e4ea9fd32e8438e0bf2e88c\",0,\"combinatorics_609019\"]",
|
| 66 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002696.lean\",\"732edbc46771666d57a7a93130ccd76185d08ea6acfaa5d180f1fc8ddcc7ff45\",0,\"number_theory_609021\"]",
|
| 67 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002697.lean\",\"b1f5237923104b9b9805eaa957a645b99626456e2969cac814b123c5c2fb1315\",2,\"minimal_seats_is_29\"]",
|
| 68 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002698.lean\",\"0dd856d433af8b7060f547148a1d5f664e2ed284b7a0d18fd50a10784bda6ef3\",0,\"algebra_10268\"]"
|
| 69 |
+
]
|
| 70 |
+
}
|
manifests/batches/numina/000540.json
ADDED
|
@@ -0,0 +1,44 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"format": "leangpt-parquet-v2",
|
| 3 |
+
"batch": "numina/000540",
|
| 4 |
+
"batch_fingerprint": "27d0a4e673ec4386372b625b263d778354e861024edea9f2d0fcebb8962b5504",
|
| 5 |
+
"evidence": {
|
| 6 |
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"batch_fingerprint": "27d0a4e673ec4386372b625b263d778354e861024edea9f2d0fcebb8962b5504",
|
| 7 |
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"contamination_matches": [],
|
| 8 |
+
"failures": [],
|
| 9 |
+
"input_proofs": 5,
|
| 10 |
+
"input_units": 5,
|
| 11 |
+
"proofs": 5,
|
| 12 |
+
"published_proofs": 5,
|
| 13 |
+
"published_transitions": 45,
|
| 14 |
+
"replay_failures": [],
|
| 15 |
+
"trace_mode": "bundle",
|
| 16 |
+
"transitions": 45,
|
| 17 |
+
"validation_failures": [],
|
| 18 |
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"validation_rejected_proofs": 0,
|
| 19 |
+
"zero_transition_proofs": 0
|
| 20 |
+
},
|
| 21 |
+
"shards": [
|
| 22 |
+
{
|
| 23 |
+
"path": "data/train/numina-000540-0000-8836232cc67ddd02.parquet",
|
| 24 |
+
"sha256": "8836232cc67ddd02d247bea6c6844c9e1f6f155f464c82a58de3111c0ef9ad7d",
|
| 25 |
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"bytes": 369340,
|
| 26 |
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"rows": 45,
|
| 27 |
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"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
|
| 28 |
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}
|
| 29 |
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],
|
| 30 |
+
"proof_ids": [
|
| 31 |
+
"numina:1b740519-988d-54db-b832-3bca18e6c7e5",
|
| 32 |
+
"numina:58326895-c7d8-5ba3-83bb-2d3a3e6a198f",
|
| 33 |
+
"numina:854d53b3-5f55-5d55-96d9-bb762ca34af1",
|
| 34 |
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"numina:936201b7-e571-5f61-8d33-f0f59ef2a5c1",
|
| 35 |
+
"numina:cd4464e5-4f74-5ca7-b607-4becf4334126"
|
| 36 |
+
],
|
| 37 |
+
"proof_keys": [
|
| 38 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002700.lean\",\"0d2137aac5e7a52880053e6ee5c39c437bb66278d39ba8eba70e27d13712fa4b\",0,\"Combinatorics_609043\"]",
|
| 39 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002701.lean\",\"6b0b012eeb177bfcc5b5a0185912230fbb32ad5cb2f2d129bb98b32a7c057498\",0,\"inequalities_609060\"]",
|
| 40 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002702.lean\",\"d27fff395e67012b016ced9c5beda720ad707866034a70aabbcca0f8ed3c52b4\",0,\"algebra_609063\"]",
|
| 41 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002703.lean\",\"b1851980ab77539272ad92ec2c3404fa071566b8721b89f5c60f6989388b3160\",0,\"Combinatorics_609066\"]",
|
| 42 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002704.lean\",\"2712cf53a804bf36adbc8ec89e27d118445d4b740ee9a1cd8fcfb5e307073f2c\",0,\"combinatorics_609069_derived\"]"
|
| 43 |
+
]
|
| 44 |
+
}
|
manifests/batches/numina/000541.json
ADDED
|
@@ -0,0 +1,45 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
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|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"format": "leangpt-parquet-v2",
|
| 3 |
+
"batch": "numina/000541",
|
| 4 |
+
"batch_fingerprint": "a544fb41c508ec870cb656c4696c64b1aec171a083b5f6c412135c86667363e2",
|
| 5 |
+
"evidence": {
|
| 6 |
+
"batch_fingerprint": "a544fb41c508ec870cb656c4696c64b1aec171a083b5f6c412135c86667363e2",
|
| 7 |
+
"bundle_error": "helper declarations require isolated extraction",
|
| 8 |
+
"contamination_matches": [],
|
| 9 |
+
"failures": [],
|
| 10 |
+
"input_proofs": 5,
|
| 11 |
+
"input_units": 5,
|
| 12 |
+
"proofs": 5,
|
| 13 |
+
"published_proofs": 5,
|
| 14 |
+
"published_transitions": 54,
|
| 15 |
+
"replay_failures": [],
|
| 16 |
+
"trace_mode": "individual",
|
| 17 |
+
"transitions": 54,
|
| 18 |
+
"validation_failures": [],
|
| 19 |
+
"validation_rejected_proofs": 0,
|
| 20 |
+
"zero_transition_proofs": 0
|
| 21 |
+
},
|
| 22 |
+
"shards": [
|
| 23 |
+
{
|
| 24 |
+
"path": "data/train/numina-000541-0000-dbe8fcb013035536.parquet",
|
| 25 |
+
"sha256": "dbe8fcb01303553631c515c94977a551cb18188da809d7d743b7564ec352f8c6",
|
| 26 |
+
"bytes": 566011,
|
| 27 |
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"rows": 54,
|
| 28 |
+
"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
|
| 29 |
+
}
|
| 30 |
+
],
|
| 31 |
+
"proof_ids": [
|
| 32 |
+
"numina:2116f144-7fda-5167-bafe-f6bbe6840b8a",
|
| 33 |
+
"numina:3a43afe7-0035-538c-be5d-052682749f74",
|
| 34 |
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"numina:40b88bb9-0f45-5fb8-959b-9144b9737d43",
|
| 35 |
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"numina:88b426a4-72d7-595b-89d8-f621e6e85b82",
|
| 36 |
+
"numina:f5399f0e-3267-57fa-8c57-fc9e6e86067c"
|
| 37 |
+
],
|
| 38 |
+
"proof_keys": [
|
| 39 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002705.lean\",\"8a9972f2a60cde11a70e7d0fb365b15ea0c1e85ef83d66420e2178018707ae34\",0,\"algebra_609071\"]",
|
| 40 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002706.lean\",\"8e87016100496a908a4d2ac35bdeaaf5d56deb475b7074c1772c9afbb388104e\",0,\"algebra_609073\"]",
|
| 41 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002707.lean\",\"cfc4dc8ece41bbcefe429002994acce31def223bcba4fc3fe3c157274dd0deda\",0,\"number_theory_609075\"]",
|
| 42 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002708.lean\",\"5e913c214dcd73f9013ac9713acd9f8ab84f925396f15c015d66c9a05fec503d\",6,\"algebra_609078\"]",
|
| 43 |
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"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002709.lean\",\"23f11d98a2a0b1691eab245e23298c990c4b3e7d58226529b9af57d02709f6d6\",0,\"algebra_609081\"]"
|
| 44 |
+
]
|
| 45 |
+
}
|
manifests/batches/numina/000543.json
ADDED
|
@@ -0,0 +1,52 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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| 1 |
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| 2 |
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| 3 |
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|
| 4 |
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| 9 |
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| 11 |
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| 15 |
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| 30 |
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| 31 |
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| 51 |
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manifests/batches/numina/000544.json
ADDED
|
@@ -0,0 +1,58 @@
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| 1 |
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{
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| 3 |
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"batch": "numina/000544",
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| 14 |
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| 15 |
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| 31 |
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| 44 |
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| 45 |
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| 46 |
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| 50 |
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| 51 |
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| 52 |
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| 53 |
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| 54 |
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| 56 |
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| 57 |
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| 58 |
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|
manifests/batches/numina/000546.json
ADDED
|
@@ -0,0 +1,51 @@
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| 43 |
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|
manifests/batches/numina/000549.json
ADDED
|
@@ -0,0 +1,51 @@
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| 1 |
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{
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| 2 |
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| 3 |
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| 34 |
+
"revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
|
| 35 |
+
}
|
| 36 |
+
],
|
| 37 |
+
"proof_ids": [
|
| 38 |
+
"numina:0dd0a9d0-cc4a-5626-a831-d5312d59d65a",
|
| 39 |
+
"numina:13ef983f-6591-5a0d-9ed8-dbb1f958b8c7",
|
| 40 |
+
"numina:406ef721-027a-5189-b0f7-d5a2b9088b7b",
|
| 41 |
+
"numina:600d02ec-9446-5595-a159-5199817fb18d",
|
| 42 |
+
"numina:908632db-fe83-5188-b46b-290d7c1c97f6"
|
| 43 |
+
],
|
| 44 |
+
"proof_keys": [
|
| 45 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002745.lean\",\"bf64072f64edad7a965a736e7f82fd8c86b6b548b678fc5dc00173c8a19d5026\",0,\"algebra_609299\"]",
|
| 46 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002746.lean\",\"dfa9e3d571cf97347cf222ade37b09d853a71d3219ddf5d4051ce6f9b6c05fe2\",0,\"geometry_609300\"]",
|
| 47 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002747.lean\",\"cd2f18ed9bb599485cf0ca0a97976f2c2ec61f3a08ae5cd674ac88f63a849fb1\",0,\"algebra_609303\"]",
|
| 48 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002748.lean\",\"5da6f79887beb9c7849e32acf654fa5ec1db0378df2a97f8753db1f88f745ca3\",0,\"algebra_609306\"]",
|
| 49 |
+
"[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002749.lean\",\"4d3205a0d24cd446cb7c61525979faa56f2f42f8de6681221ba02807261ee0ad\",0,\"number_theory_609310\"]"
|
| 50 |
+
]
|
| 51 |
+
}
|