diff --git a/manifests/batches/oproofs/s00000-r00017168-n000004.json b/manifests/batches/oproofs/s00000-r00017168-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..370d0ef192284deb934e64c17606a1fdb326782b
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017168-n000004.json
@@ -0,0 +1,59 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017168-n000004",
+  "batch_fingerprint": "e90ab377336e77b32dde0a1e735f30b9ab25ee5cf68634b6f4367a0c9c920870",
+  "evidence": {
+    "batch_fingerprint": "e90ab377336e77b32dde0a1e735f30b9ab25ee5cf68634b6f4367a0c9c920870",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 2,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017168.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17168",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017171.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17171",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 2,
+    "published_proofs": 2,
+    "published_transitions": 7,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 7,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pca/oproofs-s00000-r00017168-n000004-0000-7fe9fede283026c6.parquet",
+      "sha256": "7fe9fede283026c66f455cbe5c11431b2c5e0d24f5841170f2c3be7b78514dc0",
+      "bytes": 111264,
+      "rows": 3,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    },
+    {
+      "path": "data/internal_test/pca/oproofs-s00000-r00017168-n000004-0000-230121096902449c.parquet",
+      "sha256": "230121096902449cb53ff3b64104a3695e8f4dd700ecb5e2d015c5e6b2522556",
+      "bytes": 61000,
+      "rows": 4,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17169",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17170"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017169.lean\",\"822b60bc8da9e06f17e4807b981d47cf2ce281e2bb0b0af1c855100259014158\",0,\"exp_x\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017170.lean\",\"f41f5c61d345cb100e253c546152af52fc16ccc302936cf733ae7266d17fd8ed\",0,\"tan_inv\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017172-n000004.json b/manifests/batches/oproofs/s00000-r00017172-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..e95ce909c8ae579663e57935b7a2d6e46455f81a
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017172-n000004.json
@@ -0,0 +1,59 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017172-n000004",
+  "batch_fingerprint": "36c8d7887600e533766172e1fc78ff01a7daa49f5e8a22451411a1ec105a9f0b",
+  "evidence": {
+    "batch_fingerprint": "36c8d7887600e533766172e1fc78ff01a7daa49f5e8a22451411a1ec105a9f0b",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 2,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017172.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17172",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017175.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17175",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 2,
+    "published_proofs": 2,
+    "published_transitions": 10,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 10,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p8a/oproofs-s00000-r00017172-n000004-0000-9b911c5a23a20a01.parquet",
+      "sha256": "9b911c5a23a20a012ce8e8807edfd0222f9987b00554c2113b00a97e094b2082",
+      "bytes": 41172,
+      "rows": 4,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    },
+    {
+      "path": "data/internal_test/p8a/oproofs-s00000-r00017172-n000004-0000-6c5c87466e4d1ca6.parquet",
+      "sha256": "6c5c87466e4d1ca6e0a8297e7b3e30f1218af7fbf6e09d3f8bad57828ba30da5",
+      "bytes": 123782,
+      "rows": 6,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17173",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17174"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017173.lean\",\"83b1bd3bc597cd00ad6a326ccca31e947cd4a981d6e431439f6820ed729ab096\",0,\"deriv_lt_0\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017174.lean\",\"7bc42b8eec12382d0662d9bed6c8c70c5a885ed60933471373d35bcc011851fb\",0,\"orbit_stabilizer\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017176-n000004.json b/manifests/batches/oproofs/s00000-r00017176-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..5b5d6d28a8f8fc8b72447bf1c2aa0488b125d930
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017176-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017176-n000004",
+  "batch_fingerprint": "db51d931eea5abaa9b24307efc79d6e5032387d0900b427cea97d797f9127c70",
+  "evidence": {
+    "batch_fingerprint": "db51d931eea5abaa9b24307efc79d6e5032387d0900b427cea97d797f9127c70",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017177.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17177",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017178.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17178",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017179.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17179",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 5,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 5,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p49/oproofs-s00000-r00017176-n000004-0000-86bf922f1bcaf725.parquet",
+      "sha256": "86bf922f1bcaf7250a34625fe49c7242d95fbf3da0c0eeb3cc9f4c4ae7e44aac",
+      "bytes": 68218,
+      "rows": 5,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17176"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017176.lean\",\"cad6a1c4514074d15503348b544d18c0710fb1a9f9862b2af853cf572bfc5714\",0,\"Tendsto\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017180-n000004.json b/manifests/batches/oproofs/s00000-r00017180-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..4d30bf48eddf11d7c6f5256872e58650a75c304d
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017180-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017180-n000004",
+  "batch_fingerprint": "da9c87732661396f83d1eed43c1c40bdb601c0601ba1f4a83ef2e80bed1fdab8",
+  "evidence": {
+    "batch_fingerprint": "da9c87732661396f83d1eed43c1c40bdb601c0601ba1f4a83ef2e80bed1fdab8",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017181.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17181",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017182.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17182",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017183.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17183",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 4,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 4,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pcb/oproofs-s00000-r00017180-n000004-0000-4a57ebf544002e2e.parquet",
+      "sha256": "4a57ebf544002e2e4e19a9bc8ddb38aca145c346e724929b2ab89a1514afce29",
+      "bytes": 38920,
+      "rows": 4,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17180"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017180.lean\",\"a841d119098e0a78d878607af796163fff684c78fa2ddce879a5c6146d5afc04\",0,\"Tendsto\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017184-n000004.json b/manifests/batches/oproofs/s00000-r00017184-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..ab37bddf9aacb3eb862057ac83124ee88e2cc53c
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017184-n000004.json
@@ -0,0 +1,45 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017184-n000004",
+  "batch_fingerprint": "67947c47cc9f6b0e711da5b63e83ad25b3431409f500176c9c8d8a346ec16bc0",
+  "evidence": {
+    "batch_fingerprint": "67947c47cc9f6b0e711da5b63e83ad25b3431409f500176c9c8d8a346ec16bc0",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 4,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [],
+    "proofs": 4,
+    "published_proofs": 4,
+    "published_transitions": 26,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 26,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pfa/oproofs-s00000-r00017184-n000004-0000-198652443d07415c.parquet",
+      "sha256": "198652443d07415c8b1918f58cf8153d0861a68fd11eff211c6201d476269856",
+      "bytes": 530659,
+      "rows": 26,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17184",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17185",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17186",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17187"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017184.lean\",\"3968de99210992dde4ca86d431d5a1521584e01edaa46bb2066a10ddfdb3db7a\",0,\"SubgroupOfFixes\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017185.lean\",\"49f34b722eaf0186bf46b410abf1e49c7fc48ea9e9ebae56cc2ae3ed92556061\",0,\"Tendsto\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017186.lean\",\"eabcd3c03ab63a65f7f448d9bdf67728a38da52339f88090dc448782de647560\",0,\"constant\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017187.lean\",\"90da019c4f2287ac995e0b7653dca09be6b4ce77a1be61a5899b5bafd107f1bf\",0,\"mean_value\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017188-n000004.json b/manifests/batches/oproofs/s00000-r00017188-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..f39729a77bd41b5043ea75c188d77c550763961a
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017188-n000004.json
@@ -0,0 +1,46 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017188-n000004",
+  "batch_fingerprint": "9343ecd67cf27a81a370338436e1aa4372fb924bdabe600be59bd22f6c44a743",
+  "evidence": {
+    "batch_fingerprint": "9343ecd67cf27a81a370338436e1aa4372fb924bdabe600be59bd22f6c44a743",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017188.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17188",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017189.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17189",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017190.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17190",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017191.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17191",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017192-n000004.json b/manifests/batches/oproofs/s00000-r00017192-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..99e94f27b50b794d9cdbf65a02d6acd290ee6041
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017192-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017192-n000004",
+  "batch_fingerprint": "7d079f0e1ba5154d8003a9178d23e7380e36d0b83484cf1fe6e269846100e8a5",
+  "evidence": {
+    "batch_fingerprint": "7d079f0e1ba5154d8003a9178d23e7380e36d0b83484cf1fe6e269846100e8a5",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017192.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17192",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017193.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17193",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017195.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17195",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 3,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 3,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p49/oproofs-s00000-r00017192-n000004-0000-957f7142aa2d05b7.parquet",
+      "sha256": "957f7142aa2d05b7a38e3fca894879aff8ad402b90697e450fc735ef7bf81796",
+      "bytes": 59857,
+      "rows": 3,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17194"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017194.lean\",\"bded2b2a8ad538de440b3e35d0d31b531ded8309fe0c6800b061d7d9adb1a78e\",0,\"gcd_common_divisor\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017200-n000004.json b/manifests/batches/oproofs/s00000-r00017200-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..f98181786913565ea24bf763d0ed97542d8c614c
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017200-n000004.json
@@ -0,0 +1,46 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017200-n000004",
+  "batch_fingerprint": "e981b7e8aec8615454ff267fe44751422c97d4c21881828e8552d53141069335",
+  "evidence": {
+    "batch_fingerprint": "e981b7e8aec8615454ff267fe44751422c97d4c21881828e8552d53141069335",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017200.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17200",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017201.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17201",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017202.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17202",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017203.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17203",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017204-n000004.json b/manifests/batches/oproofs/s00000-r00017204-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..a38620e6122b5eaba882e03ddaea91f01b497171
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017204-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017204-n000004",
+  "batch_fingerprint": "eacfe8ce82ebd3abf337b6917e60499eb26d2bc03c1d94e6bad409a3c17c71bc",
+  "evidence": {
+    "batch_fingerprint": "eacfe8ce82ebd3abf337b6917e60499eb26d2bc03c1d94e6bad409a3c17c71bc",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017204.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17204",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017205.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17205",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017206.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17206",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 3,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 3,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pb8/oproofs-s00000-r00017204-n000004-0000-7327337ca11a76c8.parquet",
+      "sha256": "7327337ca11a76c84bc5f6423b7f7cb5597d2a74005eed274654838705e10a88",
+      "bytes": 33449,
+      "rows": 3,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17207"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017207.lean\",\"fcdc89000711ab60260d1c13e79113af28d5814f5354aec642fb7ccbdfb1ce72\",0,\"countableUnion\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017208-n000004.json b/manifests/batches/oproofs/s00000-r00017208-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..27ca0c1a7aebc3c2abf6344eeaf3a355ab242fd5
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017208-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017208-n000004",
+  "batch_fingerprint": "b8c6e285e6d90111c7bf0d431a26874f0a7e8f92c2678c2572b541d8f2e4ed70",
+  "evidence": {
+    "batch_fingerprint": "b8c6e285e6d90111c7bf0d431a26874f0a7e8f92c2678c2572b541d8f2e4ed70",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017208.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17208",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017209.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17209",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017211.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17211",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 2,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 2,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p32/oproofs-s00000-r00017208-n000004-0000-7c9cad96e0e75960.parquet",
+      "sha256": "7c9cad96e0e75960ba542b22a20b50ec7e2106e9035f8dd358fb70503ddc678c",
+      "bytes": 33449,
+      "rows": 2,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17210"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017210.lean\",\"4e26dffad23f9886156fba711845ac9ca937e9c12ab6bed55d2b608330e2875e\",0,\"proveClosed\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017212-n000004.json b/manifests/batches/oproofs/s00000-r00017212-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..d0b5eabea493c27f37ffad938a0fbcec623ac016
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017212-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017212-n000004",
+  "batch_fingerprint": "ad9ccbf56f1ca29c40f5d204917bd012e75080279520723e3f08d85be210ae7e",
+  "evidence": {
+    "batch_fingerprint": "ad9ccbf56f1ca29c40f5d204917bd012e75080279520723e3f08d85be210ae7e",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017213.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17213",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017214.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17214",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017215.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17215",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 6,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 6,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p8e/oproofs-s00000-r00017212-n000004-0000-410ca2bfeedb1afc.parquet",
+      "sha256": "410ca2bfeedb1afc5a360fcc79f2ae25bf0dbf5a492591a906df9948126dd0c1",
+      "bytes": 52672,
+      "rows": 6,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17212"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017212.lean\",\"9d1bf4ebd75ea9f44af2c564e4a59da5725ee3282e8fe35a46f53fe8bb2104c2\",0,\"MetricClosedBall\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017216-n000004.json b/manifests/batches/oproofs/s00000-r00017216-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..9df05fb0fccea5ed8edab8d08114d2a980093e2f
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017216-n000004.json
@@ -0,0 +1,49 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017216-n000004",
+  "batch_fingerprint": "e4719b1ebf46f9862d3679bf3789371e5a9ba351db8655713c3685f540e88fdf",
+  "evidence": {
+    "batch_fingerprint": "e4719b1ebf46f9862d3679bf3789371e5a9ba351db8655713c3685f540e88fdf",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 3,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017216.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17216",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 3,
+    "published_proofs": 3,
+    "published_transitions": 17,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 17,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pcf/oproofs-s00000-r00017216-n000004-0000-77fd122bd0af2223.parquet",
+      "sha256": "77fd122bd0af22234cd20d90a860199353eba79b761586cd7cadde2745ddb87f",
+      "bytes": 142368,
+      "rows": 17,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17217",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17218",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17219"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017217.lean\",\"0a1d96fc65b0e745ececb3c697ff484c9ac6cc727ded38679e351e999195bc2d\",0,\"SetOddInts\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017218.lean\",\"4c200626bb95109a2cea274b1b72b30d35e4c14b576e4d1f69c76431b6cef816\",0,\"Topology.NonemptyOpenSet\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017219.lean\",\"b7c0199f54930805d3b7fc39f3599ad1aee5ad8a768126937b593872d252ebba\",0,\"q_wen\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017220-n000004.json b/manifests/batches/oproofs/s00000-r00017220-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..724731ddca473014207a324b0318b02471b4a797
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017220-n000004.json
@@ -0,0 +1,63 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017220-n000004",
+  "batch_fingerprint": "cf07a3b51af690d89d30f7c5d2745af73a92aeeec0617d3cc36176cae25230be",
+  "evidence": {
+    "batch_fingerprint": "cf07a3b51af690d89d30f7c5d2745af73a92aeeec0617d3cc36176cae25230be",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [
+      {
+        "file_path": "Full/Proof_00017220.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17220",
+        "reason": "no_proof_declaration",
+        "selection": {
+          "file_path": "Full/Proof_00017220.lean",
+          "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17220",
+          "index": 17220,
+          "metadata": {
+            "source_dataset": "oproofs",
+            "source_internal_duplicate": false,
+            "source_row": 17220,
+            "source_shard": 0,
+            "source_statement_fingerprint": null
+          },
+          "source_sha256": "dfddfe9ec9c47cc08b584b1ba4db3b17a720239aff9a6b987bdc8afd7d88f62a"
+        },
+        "source_file": "Full/Proof_00017220.lean"
+      }
+    ],
+    "input_proofs": 4,
+    "input_units": 3,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [],
+    "proofs": 3,
+    "published_proofs": 3,
+    "published_transitions": 13,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 13,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pf9/oproofs-s00000-r00017220-n000004-0000-9234f039e512b59a.parquet",
+      "sha256": "9234f039e512b59acdce931e6842ea8e187ec54d4a025e8bff29644f7d5eaabb",
+      "bytes": 204346,
+      "rows": 13,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17221",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17222",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17223"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017221.lean\",\"96ab55f8ccbc29cd8cc8f4a70f9db368ae0d4a85583de64053c2046e23795c37\",0,\"line_eq\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017222.lean\",\"fa33fb87281e8f84d8700c62d73b93bf0f5f7ed9e268bf02f8871324e84fa571\",0,\"area_upper_right_quarter\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017223.lean\",\"32f18c0a2d2a3ded278d451e9c7cfa0b916ecb6448e2c9b91ceacb40a1b6d715\",0,\"abs_sum_convg\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017224-n000004.json b/manifests/batches/oproofs/s00000-r00017224-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..9f37512c1d13514250cb2d4f9c04ef18f2a05dca
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017224-n000004.json
@@ -0,0 +1,45 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017224-n000004",
+  "batch_fingerprint": "9cdc5218ef67937184e58aac4fb0716d984a9cff7bc12d702fe31ca1883a60c7",
+  "evidence": {
+    "batch_fingerprint": "9cdc5218ef67937184e58aac4fb0716d984a9cff7bc12d702fe31ca1883a60c7",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 4,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [],
+    "proofs": 4,
+    "published_proofs": 4,
+    "published_transitions": 15,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 15,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p0c/oproofs-s00000-r00017224-n000004-0000-09981a9187829508.parquet",
+      "sha256": "09981a9187829508897830c047d8277917e5e8fcd5702129973c2c53aed654ff",
+      "bytes": 232910,
+      "rows": 15,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17224",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17225",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17226",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17227"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017224.lean\",\"81237358c3d48f44c0764f54909b6028a46cdc2ba75d836491f268e7988193f9\",0,\"EuclideanProof\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017225.lean\",\"7d11c0e3e8a92357be3f0f09ca84cd47bdb73a97eae294d221d7d1a6250f46e1\",0,\"deriv_eval\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017226.lean\",\"d1a1510e652fba1df7b24b4e78404cf1d59b410982802fa5ff1e66a345d09944\",0,\"lim_sin\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017227.lean\",\"a2689b4fc466ceaf4e2dd19d6988ae27fa3a64f39509dc312977b111f48fa6a4\",0,\"MetricSpaceOpen\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017228-n000004.json b/manifests/batches/oproofs/s00000-r00017228-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..680faa04d0a151eb4014ab0886fc7a3ccda96dc3
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017228-n000004.json
@@ -0,0 +1,52 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017228-n000004",
+  "batch_fingerprint": "39a9028ffa77fa83981c0f5c9c89615db878047ab6c44e0a133e30e4c44bea60",
+  "evidence": {
+    "batch_fingerprint": "39a9028ffa77fa83981c0f5c9c89615db878047ab6c44e0a133e30e4c44bea60",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 4,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [],
+    "proofs": 4,
+    "published_proofs": 4,
+    "published_transitions": 14,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 14,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p41/oproofs-s00000-r00017228-n000004-0000-b9752e6e3d7fd6f2.parquet",
+      "sha256": "b9752e6e3d7fd6f25d2673e118aee5e92a05a5791d1e8030b7031bc77f2d34e5",
+      "bytes": 255766,
+      "rows": 12,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    },
+    {
+      "path": "data/dev/p41/oproofs-s00000-r00017228-n000004-0000-a82c4af78b8d1cd1.parquet",
+      "sha256": "a82c4af78b8d1cd130cf0ec07889e556f25f629d1d8032541057c9229b9d922e",
+      "bytes": 76288,
+      "rows": 2,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17228",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17229",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17230",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17231"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017228.lean\",\"fb89835d269288e0afe1f83add2c16586a79f3cd631fe35402310d02de22aed5\",0,\"sum_of_factorial\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017229.lean\",\"137ebda3f15b204eeee011bf5072a15ed51fc7d2e45004ff842fd264db7d0604\",0,\"q293\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017230.lean\",\"d9434907b6897bd84d262f7a09ba060691d61e54e977331165bc560164786d77\",0,\"limsup\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017231.lean\",\"d869ba630a2358a12d8be45fae3389400a611b7d84133ed0480cedc331e43abf\",0,\"algebra_431487\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017232-n000004.json b/manifests/batches/oproofs/s00000-r00017232-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..5de3ec79c3f96574beaba2cbe91e9dd9ba94a154
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017232-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017232-n000004",
+  "batch_fingerprint": "073f721d985abf8ba1ef481730b304c5045afc14b02f1eab80d4d2ba36d5f189",
+  "evidence": {
+    "batch_fingerprint": "073f721d985abf8ba1ef481730b304c5045afc14b02f1eab80d4d2ba36d5f189",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017233.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17233",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017234.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17234",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017235.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17235",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 7,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 7,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p83/oproofs-s00000-r00017232-n000004-0000-0022b757c0730230.parquet",
+      "sha256": "0022b757c0730230d72f6878eda701298f712545deeea68705d1ce5b0bb49b3c",
+      "bytes": 155588,
+      "rows": 7,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17232"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017232.lean\",\"206f9afe7e6700cee4edd95ba679f9aaf80f39e064943143a5ee8ebd831459cf\",0,\"qwen\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017236-n000004.json b/manifests/batches/oproofs/s00000-r00017236-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..9b3ea1cb3ec2cb4374aa12c4f7b16812cf919367
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017236-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017236-n000004",
+  "batch_fingerprint": "6fc06b85c1f380c5f3c880c474fd44582d901b442985f648fe39b2ff6a56342e",
+  "evidence": {
+    "batch_fingerprint": "6fc06b85c1f380c5f3c880c474fd44582d901b442985f648fe39b2ff6a56342e",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017236.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17236",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017237.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17237",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017238.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17238",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 2,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 2,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p5d/oproofs-s00000-r00017236-n000004-0000-299fded8101547be.parquet",
+      "sha256": "299fded8101547bebf56eebf97b6dae7595901ba16b06896ad8605b38cc03f7d",
+      "bytes": 39560,
+      "rows": 2,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17239"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017239.lean\",\"c3c93a6513d008d4e9921ef8b6b6a3a5947512193a45cf03c84c514085808289\",0,\"z0\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017240-n000004.json b/manifests/batches/oproofs/s00000-r00017240-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..091e25bb923cf909543a577c18185ed78b8b67e1
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017240-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017240-n000004",
+  "batch_fingerprint": "276ea39bc6dbfed5de76a45e9c0bccde5926f5a50d84f274ee0642945a01032f",
+  "evidence": {
+    "batch_fingerprint": "276ea39bc6dbfed5de76a45e9c0bccde5926f5a50d84f274ee0642945a01032f",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017240.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17240",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017241.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17241",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017242.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17242",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 2,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 2,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p41/oproofs-s00000-r00017240-n000004-0000-fd0aeb092765c9c2.parquet",
+      "sha256": "fd0aeb092765c9c20504cadeb618ece7e75772c82088a308d07dd0a05cf0f981",
+      "bytes": 116469,
+      "rows": 2,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17243"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017243.lean\",\"110ec3f7927e1ba9557cdaff0cbee132299902edb9ca11688bf7bf30c3767b86\",0,\"bijective\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017244-n000004.json b/manifests/batches/oproofs/s00000-r00017244-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..30a08221181ec6834642e09dd5b3676b36e9e019
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017244-n000004.json
@@ -0,0 +1,70 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017244-n000004",
+  "batch_fingerprint": "ee60b1bdb65f5d17ba8d931144afddce9d2dc46e8e435f79785765b1f432c331",
+  "evidence": {
+    "batch_fingerprint": "ee60b1bdb65f5d17ba8d931144afddce9d2dc46e8e435f79785765b1f432c331",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [
+      {
+        "file_path": "Full/Proof_00017245.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17245",
+        "reason": "no_proof_declaration",
+        "selection": {
+          "file_path": "Full/Proof_00017245.lean",
+          "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17245",
+          "index": 17245,
+          "metadata": {
+            "source_dataset": "oproofs",
+            "source_internal_duplicate": false,
+            "source_row": 17245,
+            "source_shard": 0,
+            "source_statement_fingerprint": "7259a978da47e3f4ab39c15202977db5966f213a866c5d4f9912422d67beb4c2"
+          },
+          "source_sha256": "6069a9b92ae0d96653104fc494c074bd431052a7feaff5ddc16e38c1a2210568"
+        },
+        "source_file": "Full/Proof_00017245.lean"
+      }
+    ],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017244.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17244",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017246.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17246",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 2,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 2,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p8c/oproofs-s00000-r00017244-n000004-0000-3eac9b6c5213638b.parquet",
+      "sha256": "3eac9b6c5213638b391f78ff82218b41379d46054b8cb6f8912b932716c97e3a",
+      "bytes": 36520,
+      "rows": 2,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17247"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017247.lean\",\"916428a4b39a42bc7d6165a799ee659378f3c71896c11ad3bbbd3c7f8df5da6c\",0,\"findCodeword\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017252-n000004.json b/manifests/batches/oproofs/s00000-r00017252-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..adb60f3cd6c08432f73c5cab5d99183c9fde3ca3
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017252-n000004.json
@@ -0,0 +1,49 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017252-n000004",
+  "batch_fingerprint": "d7c4d489e6be9171452050048e3dd22a864abd57eb3bc6f7c6a027a74c66c30e",
+  "evidence": {
+    "batch_fingerprint": "d7c4d489e6be9171452050048e3dd22a864abd57eb3bc6f7c6a027a74c66c30e",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 3,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017254.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17254",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 3,
+    "published_proofs": 3,
+    "published_transitions": 16,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 16,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pc4/oproofs-s00000-r00017252-n000004-0000-0f527cb678030b9d.parquet",
+      "sha256": "0f527cb678030b9d3fa5ac02a9e31b411bb1cf15640563c38e18acb98e3ece77",
+      "bytes": 200630,
+      "rows": 16,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17252",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17253",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17255"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017252.lean\",\"5ec64bac43b4d1079c0a66abb99e393fe2ebaeaa2f834e9886e33b26b09aef89\",0,\"ProveConvergence\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017253.lean\",\"ec74aea93694c65ae65811a823b941322070b66510c06fe8ff175976801518f5\",0,\"Tendsto\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017255.lean\",\"57c81919709c242d9aced78786781ba1062bdf68a2a88c35a36a9d876de46d02\",0,\"sum_series\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017256-n000004.json b/manifests/batches/oproofs/s00000-r00017256-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..d99c50bd07afe59343ceba7766e55451f3d63ec3
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017256-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017256-n000004",
+  "batch_fingerprint": "dc4780ded0b2ffb5eb21811fb1e2333f67325a307c8cbde62673ebfef809d8bd",
+  "evidence": {
+    "batch_fingerprint": "dc4780ded0b2ffb5eb21811fb1e2333f67325a307c8cbde62673ebfef809d8bd",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017256.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17256",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017258.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17258",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017259.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17259",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 4,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 4,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pdb/oproofs-s00000-r00017256-n000004-0000-f160413e19af35f4.parquet",
+      "sha256": "f160413e19af35f47f0ebda164c824abea5eba91455100c98031cfaa6e916526",
+      "bytes": 47862,
+      "rows": 4,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17257"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017257.lean\",\"d7d410477ee2aafc4bce8ec9137b6162f4fa360153dee536ce00086bd1c99de1\",0,\"Tendsto\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017264-n000004.json b/manifests/batches/oproofs/s00000-r00017264-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..716e1f9fd9df00a1894be35d0681b50afb1e71c1
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017264-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017264-n000004",
+  "batch_fingerprint": "5ad08e80454ba35dd96bd4fdb74fc911285fda84ddbb6a23c08fc24d39b31859",
+  "evidence": {
+    "batch_fingerprint": "5ad08e80454ba35dd96bd4fdb74fc911285fda84ddbb6a23c08fc24d39b31859",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017265.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17265",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017266.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17266",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017267.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17267",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 2,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 2,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p83/oproofs-s00000-r00017264-n000004-0000-2c90de2fef5f45b0.parquet",
+      "sha256": "2c90de2fef5f45b0bacc5da59a9b6d4d8e31b48fb575a68758397892ae094d59",
+      "bytes": 107301,
+      "rows": 2,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17264"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017264.lean\",\"7b5cd724d0ea53d0be2eaa958e001a18ad2b2219afbab0aec5d55b95bbc727e9\",0,\"sin\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017268-n000004.json b/manifests/batches/oproofs/s00000-r00017268-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..6a30ea0c959757a9cbe7ec024e7cac534d38cca9
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017268-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017268-n000004",
+  "batch_fingerprint": "ae947af61e7b5ea318302f2857d363bc95d79c9b1d71cd0aaaee4eb7ee36aa15",
+  "evidence": {
+    "batch_fingerprint": "ae947af61e7b5ea318302f2857d363bc95d79c9b1d71cd0aaaee4eb7ee36aa15",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017269.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17269",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017270.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17270",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017271.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17271",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 5,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 5,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pb8/oproofs-s00000-r00017268-n000004-0000-5f8d2b4c9457623e.parquet",
+      "sha256": "5f8d2b4c9457623e6a22f1b95ee79f841583caa962006246eda744cc07588823",
+      "bytes": 77069,
+      "rows": 5,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17268"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017268.lean\",\"7054e8e5a53c06f4fa0970c3ef5dca9a974edbee25d1a1971c68b2d9a1fd2f8d\",0,\"T2\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017272-n000004.json b/manifests/batches/oproofs/s00000-r00017272-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..35b516d434a4c3a42968585165f68e6be8e8bf7e
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017272-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017272-n000004",
+  "batch_fingerprint": "7c213dfc415fbb4e21ab2de90e929e3c81e7bdbdbee5dfad138239224de67810",
+  "evidence": {
+    "batch_fingerprint": "7c213dfc415fbb4e21ab2de90e929e3c81e7bdbdbee5dfad138239224de67810",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017272.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17272",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017273.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17273",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017275.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17275",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 5,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 5,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p47/oproofs-s00000-r00017272-n000004-0000-8cbd40b08d789dc3.parquet",
+      "sha256": "8cbd40b08d789dc360fcad756ed4cd8edde8a94129e4fc9d791fec95cfa62826",
+      "bytes": 110707,
+      "rows": 5,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17274"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017274.lean\",\"f66ba97cc456bace2d2070b1ab4fc2daaad8142a3a03700b9fae9c8708de9e2f\",0,\"min_in_set\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017276-n000004.json b/manifests/batches/oproofs/s00000-r00017276-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..d1d78a614e2e80bd3c7ebedf7142793aaafae1c3
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017276-n000004.json
@@ -0,0 +1,61 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017276-n000004",
+  "batch_fingerprint": "25e171ef2055055219e44f104b941159a57fd652b5222be3b7b4f28c01497931",
+  "evidence": {
+    "batch_fingerprint": "25e171ef2055055219e44f104b941159a57fd652b5222be3b7b4f28c01497931",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [
+      {
+        "file_path": "Full/Proof_00017279.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17279",
+        "reason": "no_proof_declaration",
+        "selection": {
+          "file_path": "Full/Proof_00017279.lean",
+          "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17279",
+          "index": 17279,
+          "metadata": {
+            "source_dataset": "oproofs",
+            "source_internal_duplicate": false,
+            "source_row": 17279,
+            "source_shard": 0,
+            "source_statement_fingerprint": null
+          },
+          "source_sha256": "dfddfe9ec9c47cc08b584b1ba4db3b17a720239aff9a6b987bdc8afd7d88f62a"
+        },
+        "source_file": "Full/Proof_00017279.lean"
+      }
+    ],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017276.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17276",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017277.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17277",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017278.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17278",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017280-n000004.json b/manifests/batches/oproofs/s00000-r00017280-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..065a035c685a08cc0f0acb94fe49dd317b310db5
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017280-n000004.json
@@ -0,0 +1,49 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017280-n000004",
+  "batch_fingerprint": "6044de8d560db76bb5fa229ecd200bceac5ff72a90da68385a3c38e136055d3b",
+  "evidence": {
+    "batch_fingerprint": "6044de8d560db76bb5fa229ecd200bceac5ff72a90da68385a3c38e136055d3b",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 3,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017280.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17280",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 3,
+    "published_proofs": 3,
+    "published_transitions": 17,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 17,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pe3/oproofs-s00000-r00017280-n000004-0000-98b8a0735904efdc.parquet",
+      "sha256": "98b8a0735904efdcded1db2631ffb79f167b7f47eb716fc7580b9fb3e91164c4",
+      "bytes": 315239,
+      "rows": 17,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17281",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17282",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17283"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017281.lean\",\"2036ce5fe7ff343fe06d05cd1f53a256a51a784434e4261f36ac1ff9653771e0\",0,\"TendstoSum\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017282.lean\",\"de6e86f763a9e8370f1cf8ba122491b8a295d1012146a8608bc7fb0ea2bbcda3\",0,\"exp_26591\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017283.lean\",\"d79d9cd2b71674485a28b03cb79797dd72ab5c191047c2b8e6bad74ff2a498a5\",0,\"MatrixAB\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017284-n000004.json b/manifests/batches/oproofs/s00000-r00017284-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..018db1991e08e5ae7a9c0b2a7ae405b0449cfc2e
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017284-n000004.json
@@ -0,0 +1,45 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017284-n000004",
+  "batch_fingerprint": "201a90630b282fb760b0c0f3d5a176ea382e665fbc3aa4490d4de325bcff1d94",
+  "evidence": {
+    "batch_fingerprint": "201a90630b282fb760b0c0f3d5a176ea382e665fbc3aa4490d4de325bcff1d94",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 4,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [],
+    "proofs": 4,
+    "published_proofs": 4,
+    "published_transitions": 16,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 16,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p9b/oproofs-s00000-r00017284-n000004-0000-399d64a2440d7fa4.parquet",
+      "sha256": "399d64a2440d7fa4f922dbb1d9677456709e356ad1216d8053e23546cfa91f34",
+      "bytes": 83269,
+      "rows": 16,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17284",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17285",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17286",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17287"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017284.lean\",\"fb935f37574ade45986566cc4eb7c84f1670a807e130bcc5b8de75ce8063369b\",0,\"hcf\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017285.lean\",\"8c468c13b6f11ba9c2993723d440f3ca1a8e2225926ed665fd9000a63db92b61\",0,\"Tendsto\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017286.lean\",\"7c23481b03d058acbfbd4db90d8ba23ee9e4481674a8a4a4b976ccf85a3bbe79\",0,\"limit\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017287.lean\",\"862edbafb4111c3a66e987a76fa2edce71b8261311b61f18d09bcb9ca5bbd4b4\",0,\"Lemma_quiet_time_cl_implies_quiet_time_ab\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017288-n000004.json b/manifests/batches/oproofs/s00000-r00017288-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..6ffa6520c3f81e14f6d2f9b0545572e1fa1904e0
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017288-n000004.json
@@ -0,0 +1,45 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017288-n000004",
+  "batch_fingerprint": "8d0c4d246ddf76d8a9c46575a959592c7c42e89885c463e6878ee0b6306e79db",
+  "evidence": {
+    "batch_fingerprint": "8d0c4d246ddf76d8a9c46575a959592c7c42e89885c463e6878ee0b6306e79db",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 4,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [],
+    "proofs": 4,
+    "published_proofs": 4,
+    "published_transitions": 17,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 17,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p20/oproofs-s00000-r00017288-n000004-0000-a45e71fd054e3736.parquet",
+      "sha256": "a45e71fd054e373676044ba7e9ad465ac0752265a8a388f82f2b593dff9c6dd0",
+      "bytes": 222902,
+      "rows": 17,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17288",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17289",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17290",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17291"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017288.lean\",\"a5d85d46cb86c748af81aefe0063f1ffce39f431a5099e500a7f6d5fce18f726\",0,\"non_circular\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017289.lean\",\"a9fe0158f33955e32d923ebe7a1d568c45185f32722df6038272201d3010364e\",0,\"calculus368971\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017290.lean\",\"21f9f12a8966ed749252dc504beaef4e7cab8951ad281af27e3f28665422e498\",0,\"Tendsto_seq_to_bound\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017291.lean\",\"d50906af47e270d3effe41b8b32e821f143c38b5a67259398ba5b44934294696\",0,\"sumOfFactors\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017292-n000004.json b/manifests/batches/oproofs/s00000-r00017292-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..bd67e5fa32d00d1d23526c2e1d46ff2aacb91592
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017292-n000004.json
@@ -0,0 +1,49 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017292-n000004",
+  "batch_fingerprint": "96d72819452d19d2354ee60a88b8e0d79890df1c3b0fd165c72f04ca229f0045",
+  "evidence": {
+    "batch_fingerprint": "96d72819452d19d2354ee60a88b8e0d79890df1c3b0fd165c72f04ca229f0045",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 3,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017292.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17292",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 3,
+    "published_proofs": 3,
+    "published_transitions": 19,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 19,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p03/oproofs-s00000-r00017292-n000004-0000-488ca5426840bc8d.parquet",
+      "sha256": "488ca5426840bc8dc67a423a82d416a33a72234c40a669940ae7bbd4a5848862",
+      "bytes": 496939,
+      "rows": 19,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17293",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17294",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17295"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017293.lean\",\"55ff303c3746d464a6d930196bdbb190c14b501b7da007fde6150aae6b1602dc\",0,\"Tendsto\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017294.lean\",\"aa7ab156e195c2d8c31d2cfe443348d17e1fcb803546b34c2b8123d661870cfd\",0,\"dotProductTangentVectorUnit\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017295.lean\",\"c0afef3290b38835f9bc04ca4c918eb729a97f17b31c06f8d34e186077c596f5\",0,\"abs_value\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017296-n000004.json b/manifests/batches/oproofs/s00000-r00017296-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..bd1c57f560a680a931354bf0e44a4fc51e0bf5b3
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017296-n000004.json
@@ -0,0 +1,49 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017296-n000004",
+  "batch_fingerprint": "2cc8985e3269979b63f05d7215ac19db1c4179be75aefee67b1379fe359ab8d1",
+  "evidence": {
+    "batch_fingerprint": "2cc8985e3269979b63f05d7215ac19db1c4179be75aefee67b1379fe359ab8d1",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 3,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017298.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17298",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 3,
+    "published_proofs": 3,
+    "published_transitions": 8,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 8,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p76/oproofs-s00000-r00017296-n000004-0000-2e3ec70eaf60f2e2.parquet",
+      "sha256": "2e3ec70eaf60f2e23592a12bb2578292584d5401cdc2bb4649cc5e5a9dd4f64b",
+      "bytes": 292557,
+      "rows": 8,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17296",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17297",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17299"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017296.lean\",\"2690820aa61f89345b63fcc938a7d3b859fda3ed2e04a0d4536b8bf0285576f6\",0,\"q\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017297.lean\",\"18f1e30de4cfc8ec3be59576f063e9a810892d3bfc7545df98af8bbfabf46599\",0,\"y_prime_t4_y1\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017299.lean\",\"a53caaaaea49d2d75464868c4d3d697dd91adb1c54ffed43eb1e57048f90f435\",0,\"if_f\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017300-n000004.json b/manifests/batches/oproofs/s00000-r00017300-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..ec74fe8f8ca2c622535108cba72a94d5a5ab4ab7
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017300-n000004.json
@@ -0,0 +1,56 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017300-n000004",
+  "batch_fingerprint": "2809fa1b1b7ad486bf20826da4a674ee672e85f1a20f248658f89a1a9b292085",
+  "evidence": {
+    "batch_fingerprint": "2809fa1b1b7ad486bf20826da4a674ee672e85f1a20f248658f89a1a9b292085",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 3,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017301.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17301",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 3,
+    "published_proofs": 3,
+    "published_transitions": 11,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 11,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p0d/oproofs-s00000-r00017300-n000004-0000-0e2b9941e381ea1e.parquet",
+      "sha256": "0e2b9941e381ea1e6b356f1bcf2e4378e6706dca17402ca1d64116773be1769b",
+      "bytes": 196802,
+      "rows": 7,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    },
+    {
+      "path": "data/dev/p0d/oproofs-s00000-r00017300-n000004-0000-57f4f25b2cd93897.parquet",
+      "sha256": "57f4f25b2cd93897f20d5773c483fb3caf2f7494efe83662b1f69eb369134164",
+      "bytes": 170219,
+      "rows": 4,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17300",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17302",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17303"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017300.lean\",\"cf96e213ea5ff08234a2fa18c8f4d6cbc15e7c907adedf40402a037ec674eef9\",0,\"Int.divInt\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017302.lean\",\"bbeb7dce36c939c85d7ed088e1ca4de8db8dc2d1253aaed5077a12ed3597d274\",0,\"qgcd\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017303.lean\",\"b01ce3ff57abc0f62c767e156a81a5973a81ee2f53935e1f459812d2427ed69d\",0,\"factorial\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017304-n000004.json b/manifests/batches/oproofs/s00000-r00017304-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..935b270dd63c8f259b6df86da417035612b98482
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017304-n000004.json
@@ -0,0 +1,56 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017304-n000004",
+  "batch_fingerprint": "01ea526481ba970d14a55282f31879e73c0515abd4ecb6fa7600f29a6f1d0ab9",
+  "evidence": {
+    "batch_fingerprint": "01ea526481ba970d14a55282f31879e73c0515abd4ecb6fa7600f29a6f1d0ab9",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 3,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017305.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17305",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 3,
+    "published_proofs": 3,
+    "published_transitions": 10,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 10,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p50/oproofs-s00000-r00017304-n000004-0000-207408ebcfa0e86e.parquet",
+      "sha256": "207408ebcfa0e86e4d19be3ca38d294b62671e078ddb9776ccdefcaec2cb168d",
+      "bytes": 286921,
+      "rows": 7,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    },
+    {
+      "path": "data/dev/p50/oproofs-s00000-r00017304-n000004-0000-dd0997aa4705241f.parquet",
+      "sha256": "dd0997aa4705241fb18f08bbaf2e2a21893000c673d710e43481b3af99357f60",
+      "bytes": 79327,
+      "rows": 3,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17304",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17306",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17307"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017304.lean\",\"4bb6c6537a05656518a1e9fc1213cfa88955fbdd0f6a4ae7207458fd6184c19e\",0,\"Set.Isom\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017306.lean\",\"a2b72d9d3f0d5e4153e1eff2f25a7638c620af7c7f6d61cd84d4716bcd1378f2\",0,\"q\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017307.lean\",\"b2046f83ed2a3be529067d6d3bd64cf74ce3c4c97705d619942490d3f5ecf2bf\",0,\"log_y\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017308-n000004.json b/manifests/batches/oproofs/s00000-r00017308-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..c67432c7b40a2ecf28f3feb3f5f4992be2d0fe66
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017308-n000004.json
@@ -0,0 +1,49 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017308-n000004",
+  "batch_fingerprint": "c1e6f4ca968b5acb92049818e7294aacbe1552505eef03550c08e67f8d4fd641",
+  "evidence": {
+    "batch_fingerprint": "c1e6f4ca968b5acb92049818e7294aacbe1552505eef03550c08e67f8d4fd641",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 3,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017310.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17310",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 3,
+    "published_proofs": 3,
+    "published_transitions": 17,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 17,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p79/oproofs-s00000-r00017308-n000004-0000-9d9b27de463ec5b2.parquet",
+      "sha256": "9d9b27de463ec5b2d4bdbc1d68de7e86ed2f248ccf2de5887194a806345e88a6",
+      "bytes": 206265,
+      "rows": 17,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17308",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17309",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17311"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017308.lean\",\"465f867f0551bd77cbb516a884c267c32b0212fcdb8ebb68c7a0a3d79af29fd3\",0,\"Tendsto\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017309.lean\",\"dafc88bba4346c9bffcfab693c1aa58b3cc60f16f0c3ec750c9f8ae0aa9280a9\",0,\"Matrix_A_and_B\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017311.lean\",\"842f7aec9e43cd3fc31e1b3ba5cf7c269dd1bddfa2ff064a13c19a1784a0809d\",0,\"cos_diff\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017312-n000004.json b/manifests/batches/oproofs/s00000-r00017312-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..cf70f0f2427df1e00225c663c1dfc60c215a5a9d
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017312-n000004.json
@@ -0,0 +1,59 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017312-n000004",
+  "batch_fingerprint": "c34aa8d50431f8cd50705a3cd63e2a5aeb77dcd04c34bd1ca230dcdfbe357881",
+  "evidence": {
+    "batch_fingerprint": "c34aa8d50431f8cd50705a3cd63e2a5aeb77dcd04c34bd1ca230dcdfbe357881",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 2,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017313.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17313",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017315.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17315",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 2,
+    "published_proofs": 2,
+    "published_transitions": 11,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 11,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pfe/oproofs-s00000-r00017312-n000004-0000-f55932f475a62cdf.parquet",
+      "sha256": "f55932f475a62cdfeb12ec30f63917175d135299a5565901bc8b3474ed4de738",
+      "bytes": 523166,
+      "rows": 5,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    },
+    {
+      "path": "data/internal_test/pfe/oproofs-s00000-r00017312-n000004-0000-6f8c15d3d6a070c8.parquet",
+      "sha256": "6f8c15d3d6a070c87f461d745aa4a6dd7251f15cdff630b0381aad85145cface",
+      "bytes": 100722,
+      "rows": 6,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17312",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17314"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017312.lean\",\"cf58ccc1ee1816a07f437279e0820314640adadaf787bd2e42781a33f136bdf9\",0,\"tan_x\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017314.lean\",\"404c0e2254a09b4c31e2f056784f52849989db2c530b58d8cdf2e30e9afb7777\",0,\"gcd\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017316-n000004.json b/manifests/batches/oproofs/s00000-r00017316-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..988df7331010f4c93ed9bf38b11cda015aff9585
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017316-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017316-n000004",
+  "batch_fingerprint": "0e53fbdb38c3767ea5c92fd84ca71235f30f5f76cd608f99717a209395508a8b",
+  "evidence": {
+    "batch_fingerprint": "0e53fbdb38c3767ea5c92fd84ca71235f30f5f76cd608f99717a209395508a8b",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017316.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17316",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017318.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17318",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017319.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17319",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 5,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 5,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p5c/oproofs-s00000-r00017316-n000004-0000-af00c0c21c99757b.parquet",
+      "sha256": "af00c0c21c99757bced80496d81ba8efea88af106a92b65c17cc615bbbc1fe88",
+      "bytes": 125910,
+      "rows": 5,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17317"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017317.lean\",\"9c5856a43def20194c919fcb8d22971f407d2ff0eed28c2be3d100f43fdbf716\",0,\"sumOfK\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017324-n000004.json b/manifests/batches/oproofs/s00000-r00017324-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..cce114f80905308b1609375fc59212fe08a975e3
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017324-n000004.json
@@ -0,0 +1,84 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017324-n000004",
+  "batch_fingerprint": "343131e7478114f1f4f35c42c699cea9bc33da7285f99207d56a954f681d2c63",
+  "evidence": {
+    "batch_fingerprint": "343131e7478114f1f4f35c42c699cea9bc33da7285f99207d56a954f681d2c63",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 2,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017324.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17324",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017325.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17325",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 2,
+    "published_proofs": 1,
+    "published_transitions": 4,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 7,
+    "validation_failures": [
+      {
+        "errors": [
+          "internal transition boundary mismatch"
+        ],
+        "file_path": "Full/Proof_00017327.lean",
+        "proof_id": "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17327",
+        "provenance": {
+          "atomic_transition_count": 3,
+          "compound_transition_count": 1,
+          "declaration_kind": "theorem",
+          "metadata": {
+            "declaration_kind": "theorem",
+            "source_dataset": "oproofs",
+            "source_internal_duplicate": false,
+            "source_row": 17327,
+            "source_shard": 0,
+            "source_statement_fingerprint": "2d059b72dc527cdef9638ca55886bfe0ec2d686714ebabdbafb3bfcc06fcda06",
+            "theorem_name": "helium_ionization_energy",
+            "theorem_ordinal": 1
+          },
+          "selection_index": 17327,
+          "source_dataset": "oproofs",
+          "source_id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17327",
+          "source_internal_duplicate": false,
+          "source_row": 17327,
+          "source_sha256": "c37c8e1ea2b03acb00e2f0938db102358b54c1466ea8e73385693f539193e522",
+          "source_shard": 0,
+          "source_statement_fingerprint": "2d059b72dc527cdef9638ca55886bfe0ec2d686714ebabdbafb3bfcc06fcda06",
+          "theorem_name": "helium_ionization_energy",
+          "theorem_ordinal": 1
+        },
+        "theorem_name": "helium_ionization_energy"
+      }
+    ],
+    "validation_rejected_proofs": 1,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pcf/oproofs-s00000-r00017324-n000004-0000-5e037e4677de73ef.parquet",
+      "sha256": "5e037e4677de73efbcc95304285e3b0f2edab813914d70e6dbdc9cbe1a89ec79",
+      "bytes": 41250,
+      "rows": 4,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17326"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017326.lean\",\"b672117d125706546c3ca691312578f78bd241341be8956eca0ebfe64a1b7f35\",1,\"answer\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017328-n000004.json b/manifests/batches/oproofs/s00000-r00017328-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..5d45f384057b60ba3763015bb69200d4a0353710
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017328-n000004.json
@@ -0,0 +1,46 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017328-n000004",
+  "batch_fingerprint": "742fd18ab06a0b4981f8399eeb04ffc587c3a1c95e6f247a2667990b241b72e4",
+  "evidence": {
+    "batch_fingerprint": "742fd18ab06a0b4981f8399eeb04ffc587c3a1c95e6f247a2667990b241b72e4",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017328.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17328",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017329.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17329",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017330.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17330",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017331.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17331",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017332-n000004.json b/manifests/batches/oproofs/s00000-r00017332-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..2be34e8fd854765f302212c7bb30791e2a1dbee0
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017332-n000004.json
@@ -0,0 +1,46 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017332-n000004",
+  "batch_fingerprint": "fc34ae6c59b01e1c3cf3274e4849b6e40243c4b7789cc47a73d1d42fca4d437a",
+  "evidence": {
+    "batch_fingerprint": "fc34ae6c59b01e1c3cf3274e4849b6e40243c4b7789cc47a73d1d42fca4d437a",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017332.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17332",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017333.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17333",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017334.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17334",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017335.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17335",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017336-n000004.json b/manifests/batches/oproofs/s00000-r00017336-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..3467c3463f36015c07f358942379983b5920642e
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017336-n000004.json
@@ -0,0 +1,49 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017336-n000004",
+  "batch_fingerprint": "3ec7e2a978d663890d0ac3051cb91e6e43bef65e79832737399b302a76a67c97",
+  "evidence": {
+    "batch_fingerprint": "3ec7e2a978d663890d0ac3051cb91e6e43bef65e79832737399b302a76a67c97",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 3,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017336.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17336",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 3,
+    "published_proofs": 3,
+    "published_transitions": 15,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 15,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pf2/oproofs-s00000-r00017336-n000004-0000-6f574f6602bb306d.parquet",
+      "sha256": "6f574f6602bb306df8463e65789e8fee895fa0fcec3491cc907dc7ea9cc3cbcc",
+      "bytes": 115403,
+      "rows": 15,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17337",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17338",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17339"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017337.lean\",\"47989fe3a311982ee466fd8140fa4249333869be511e5b4937904c03eee1deff\",0,\"RealFunction\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017338.lean\",\"f3257c6dbfea419c5da9af854ecdb50e5057a0b44fa7a7f9d04b3c1f00c418a6\",0,\"gcd3\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017339.lean\",\"766c89686c1dad03322c75fbf60b088b6fa511f0ab3783fce28cfae0a0aa4082\",0,\"ContinuousFunction\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017348-n000004.json b/manifests/batches/oproofs/s00000-r00017348-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..bc5385c55c1e52c0f974a29687378a3e464ed176
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017348-n000004.json
@@ -0,0 +1,45 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017348-n000004",
+  "batch_fingerprint": "622ef3a6360558a3353faf01f620b070cf4dc39b9dc952197cbc6ea7f4f42717",
+  "evidence": {
+    "batch_fingerprint": "622ef3a6360558a3353faf01f620b070cf4dc39b9dc952197cbc6ea7f4f42717",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 4,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [],
+    "proofs": 4,
+    "published_proofs": 4,
+    "published_transitions": 19,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 19,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p85/oproofs-s00000-r00017348-n000004-0000-7d6cfb9e51bb534c.parquet",
+      "sha256": "7d6cfb9e51bb534c9328ae651418d75c8107d26431d9e3abc60db58c3f7d1b4c",
+      "bytes": 245147,
+      "rows": 19,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17348",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17349",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17350",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17351"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017348.lean\",\"4bc9c5f86a148306e961ccfef117cb5105ffc1f85cc3a02386c04c2b0d49ba25\",0,\"union_sets\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017349.lean\",\"cb2284d4028925d84e5cf9de7f39e4c166a0fc03a113b7dd09676716bb2ead72\",0,\"general_term_formula\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017350.lean\",\"5f124b32ec2f4a60d9c346fcec83e79498c6dc34e1c2262107e3c6d4b7314f9b\",0,\"average_height_weight\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017351.lean\",\"29b5d9e7d847a4d0ec533f3a85069e239ebadba90a1ffffa07af7bc5e69cd741\",0,\"f_2015_value\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017352-n000004.json b/manifests/batches/oproofs/s00000-r00017352-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..b7f8ddb9d600ad57d941bbf349ce5c15acb7edba
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017352-n000004.json
@@ -0,0 +1,45 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017352-n000004",
+  "batch_fingerprint": "ebd22bd190d3210594f28c171c945492e4f5c058ac953c567ce39460d60a92af",
+  "evidence": {
+    "batch_fingerprint": "ebd22bd190d3210594f28c171c945492e4f5c058ac953c567ce39460d60a92af",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 4,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [],
+    "proofs": 4,
+    "published_proofs": 4,
+    "published_transitions": 14,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 14,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p4a/oproofs-s00000-r00017352-n000004-0000-81b8357bdec1c4fb.parquet",
+      "sha256": "81b8357bdec1c4fb2ff3fce5ebd780a09f3b4effff485dcea4730c94836f04b8",
+      "bytes": 341989,
+      "rows": 14,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17352",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17353",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17354",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17355"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017352.lean\",\"6c9a1fb436aeb8f90b536aea4b9098ec73c5675e4e709701ac9e59f666b151cf\",0,\"problem_name\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017353.lean\",\"e936a3823affb44ea4c408d6843a0952e925bed22f93c3b51d71ec0387b0a41d\",0,\"part1\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017354.lean\",\"117682a3094fa07092d92a07d4953b43e6ef172fc7abffcc95197e3f1f97dfc9\",0,\"area_quadrilateral_OBEC\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017355.lean\",\"efd7943e21bda32bc00215554a039d860b91748d0841458c32b7dcf784c1a5dc\",0,\"max_value\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017356-n000004.json b/manifests/batches/oproofs/s00000-r00017356-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..ed3110cef7b27634ebafe74b229f0d416eb07bef
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017356-n000004.json
@@ -0,0 +1,52 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017356-n000004",
+  "batch_fingerprint": "24e0fb95e2a280b959ede66ec12c44a66de5dfdb7ad6bdf235eb71caac4eb755",
+  "evidence": {
+    "batch_fingerprint": "24e0fb95e2a280b959ede66ec12c44a66de5dfdb7ad6bdf235eb71caac4eb755",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 4,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [],
+    "proofs": 4,
+    "published_proofs": 4,
+    "published_transitions": 18,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 18,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p26/oproofs-s00000-r00017356-n000004-0000-942f94ce1309dfb7.parquet",
+      "sha256": "942f94ce1309dfb7c5bc787cb1628046e228f8d1e7a73267bf5f0f7132350adb",
+      "bytes": 463603,
+      "rows": 12,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    },
+    {
+      "path": "data/internal_test/p26/oproofs-s00000-r00017356-n000004-0000-a30f625c023ec55a.parquet",
+      "sha256": "a30f625c023ec55a83c28020ceac1ee2a930dbfa9b66027722077c6843264d88",
+      "bytes": 130563,
+      "rows": 6,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17356",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17357",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17358",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17359"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017356.lean\",\"fb699ec101999aa0409eff903949d392639192517d489b535a74155435f34870\",0,\"monotonic_increasing_interval\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017357.lean\",\"0bb053709ef6b967b17fbd10a2b16938bed08568b9a70350c637075ab67eb470\",0,\"pythagorean_b_eq_m\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017358.lean\",\"4fb5f5a783098240986f668ca2b29fb66a780e6d85868eca7e77d62ae3919d74\",0,\"slope_CD\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017359.lean\",\"192690e30e894eb0699b9130bbf82f07121f8426ac49161dd63673c6fdc379e6\",0,\"lean_workbook\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017368-n000004.json b/manifests/batches/oproofs/s00000-r00017368-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..f2d7f800f67840e412184711cc00906552a3b45b
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017368-n000004.json
@@ -0,0 +1,45 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017368-n000004",
+  "batch_fingerprint": "83bf6ec8ba9e74ab16b00505c495d1bbcb48e4090c6e0e88f39139bae5df2925",
+  "evidence": {
+    "batch_fingerprint": "83bf6ec8ba9e74ab16b00505c495d1bbcb48e4090c6e0e88f39139bae5df2925",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 4,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [],
+    "proofs": 4,
+    "published_proofs": 4,
+    "published_transitions": 19,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 19,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pbe/oproofs-s00000-r00017368-n000004-0000-3849d7cac1b872ea.parquet",
+      "sha256": "3849d7cac1b872ea12f1209197fda8eba7800a552b5774230a3aaca3cf501a90",
+      "bytes": 337423,
+      "rows": 19,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17368",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17369",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17370",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17371"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017368.lean\",\"822ae4652fd18cbc6075a8275db58671d18c628eadafb7472908a89183cc7111\",0,\"norm_two_a_sub_b\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017369.lean\",\"8e17e29628c5872332813ad53fca28de060dae68f92866fab2a9cf213413cba6\",0,\"problem_name\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017370.lean\",\"d8672b069e994e6318b48e608b2cc9529cd85b35e764a0fdd19d6a9f1645a088\",0,\"wendi_chickens\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017371.lean\",\"d507b0fde00a0e0df92a50297935bf688a87d5d54b5c9bd8a508bb952038e984\",0,\"sprockets_per_hour_A\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017372-n000004.json b/manifests/batches/oproofs/s00000-r00017372-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..b318b30fbaf69122031a0cdbeb5d568590614aad
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017372-n000004.json
@@ -0,0 +1,52 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017372-n000004",
+  "batch_fingerprint": "0379548706728c535b87d8d74d99497dad67c37352edbc52f55033d9d2e14cd6",
+  "evidence": {
+    "batch_fingerprint": "0379548706728c535b87d8d74d99497dad67c37352edbc52f55033d9d2e14cd6",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 2,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017373.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17373",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017374.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17374",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 2,
+    "published_proofs": 2,
+    "published_transitions": 10,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 10,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pc3/oproofs-s00000-r00017372-n000004-0000-a74f5e52a2ab4696.parquet",
+      "sha256": "a74f5e52a2ab4696ee3eab166252b77ba6e575ed9e43626ef1cb252e43d2978f",
+      "bytes": 118594,
+      "rows": 10,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17372",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17375"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017372.lean\",\"9dac26ab02ff34df981cf0c971996a2a990110140b94384ef455e9cdee66ccb7\",0,\"exists_root_in_interval\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017375.lean\",\"046f228c2be811b8b5c8c7d8de56acb71c02a49b33d35993424a318757410969\",0,\"lim_eval\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017376-n000004.json b/manifests/batches/oproofs/s00000-r00017376-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..ecaf87bd0c1051325c311498785bf4973405e2c7
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017376-n000004.json
@@ -0,0 +1,46 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017376-n000004",
+  "batch_fingerprint": "8a63740d4bf2e5e8263848c0aab1b949c82eb110ba5aab7ab8c66ba82df7c7af",
+  "evidence": {
+    "batch_fingerprint": "8a63740d4bf2e5e8263848c0aab1b949c82eb110ba5aab7ab8c66ba82df7c7af",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017376.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17376",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017377.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17377",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017378.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17378",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017379.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17379",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017380-n000004.json b/manifests/batches/oproofs/s00000-r00017380-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..8c3c624872165781b9c1b94d5a16dce6dc882728
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017380-n000004.json
@@ -0,0 +1,59 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017380-n000004",
+  "batch_fingerprint": "5d8415bdac8dca9b01a4ab02a8befb542eccd948f3647e618d75b3899cac1059",
+  "evidence": {
+    "batch_fingerprint": "5d8415bdac8dca9b01a4ab02a8befb542eccd948f3647e618d75b3899cac1059",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 2,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017382.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17382",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017383.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17383",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 2,
+    "published_proofs": 2,
+    "published_transitions": 13,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 13,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pfc/oproofs-s00000-r00017380-n000004-0000-aba739fed1ad1855.parquet",
+      "sha256": "aba739fed1ad18550073ae125611187cba336869abbd89e544b3e7e23d2bbeec",
+      "bytes": 66921,
+      "rows": 6,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    },
+    {
+      "path": "data/internal_test/pfc/oproofs-s00000-r00017380-n000004-0000-bff6f88ef379aa76.parquet",
+      "sha256": "bff6f88ef379aa7638bed57afc312c2b3afe1e1b4268344e1dca0e8ea6fa8275",
+      "bytes": 415923,
+      "rows": 7,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17380",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17381"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017380.lean\",\"50ea010caee6ae75fcb247ed4b40163aeed7ec154748b53ea689bb4d29cf8e2f\",0,\"math_problem\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017381.lean\",\"f2c840fe88c66658d60b273ca3df283bf2f75287daa45fc804b2a1ebd73beb9a\",0,\"hat_wearing_passengers\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017384-n000004.json b/manifests/batches/oproofs/s00000-r00017384-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..6796e3e11bbbefe76e370445690e8d0939a5d501
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017384-n000004.json
@@ -0,0 +1,52 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017384-n000004",
+  "batch_fingerprint": "af5aadd3ccf7808a1bb88f25cfaad562df8ffec4dc843bab61da478c230b9d25",
+  "evidence": {
+    "batch_fingerprint": "af5aadd3ccf7808a1bb88f25cfaad562df8ffec4dc843bab61da478c230b9d25",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 2,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017385.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17385",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017386.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17386",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 2,
+    "published_proofs": 2,
+    "published_transitions": 13,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 13,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p4f/oproofs-s00000-r00017384-n000004-0000-102394bd298cd046.parquet",
+      "sha256": "102394bd298cd04668f9e77b482f43b313a08f5efeb1ba75591f666d06a265c7",
+      "bytes": 69570,
+      "rows": 13,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17384",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17387"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017384.lean\",\"5895004d7a8e8ff1dfa90fd0bda2b10adad4cf435c9acb686e89645e2403d312\",0,\"total_cost\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017387.lean\",\"65f47b7ac0d52d256f01c0591829d4009d2e6b5b00c95e63dd140c7ab04b39c3\",0,\"alan_pays_84\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017388-n000004.json b/manifests/batches/oproofs/s00000-r00017388-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..d0b06f547cbc8677a7a65f241c0bf6c51f5e90ce
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017388-n000004.json
@@ -0,0 +1,52 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017388-n000004",
+  "batch_fingerprint": "378fe9df2b75a24321cc7c6e5ea4c3c8447aa313059f440ee973e695c642d7d7",
+  "evidence": {
+    "batch_fingerprint": "378fe9df2b75a24321cc7c6e5ea4c3c8447aa313059f440ee973e695c642d7d7",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 2,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017388.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17388",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017390.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17390",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 2,
+    "published_proofs": 2,
+    "published_transitions": 15,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 15,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pc3/oproofs-s00000-r00017388-n000004-0000-8ba4866c05dd7732.parquet",
+      "sha256": "8ba4866c05dd77327802715b5e75c4fae679149949194c7f2e40a3b769713a14",
+      "bytes": 708805,
+      "rows": 15,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17389",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17391"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017389.lean\",\"52f6bb61deea314123075ba641731b3319e4843972a0c1e09f2b6ed2f08af4c3\",0,\"jake_bitcoin_final_amount\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017391.lean\",\"3ce187a8739303476d3872a22b5161ba151e3d15aeec236626003bd9c7170d0a\",0,\"min_cost\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017392-n000004.json b/manifests/batches/oproofs/s00000-r00017392-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..0e08bf0e61a70b87e5e04d0130b7208b7f5bcded
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017392-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017392-n000004",
+  "batch_fingerprint": "3c66407cd725075a03c9ec2fb8002eae73d973d04d52d2e6fb06960e121ab2a4",
+  "evidence": {
+    "batch_fingerprint": "3c66407cd725075a03c9ec2fb8002eae73d973d04d52d2e6fb06960e121ab2a4",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017392.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17392",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017393.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17393",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017394.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17394",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 3,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 3,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pd6/oproofs-s00000-r00017392-n000004-0000-26e121ec6b005583.parquet",
+      "sha256": "26e121ec6b00558374f570dc5a13972efb5f6470eda9994098bbaa2560f3b058",
+      "bytes": 101205,
+      "rows": 3,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17395"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017395.lean\",\"3631d4d034f6d6909165c887663d5f22a116300c7286b7883a515d671a7d5788\",0,\"union_complement_A_equals_universe\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017396-n000004.json b/manifests/batches/oproofs/s00000-r00017396-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..70a42927f5fcfd3ecfa65354492b47770ac09a8d
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017396-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017396-n000004",
+  "batch_fingerprint": "d2c2237106514846190bf821c44a758965dd3048c93d068db5f3c512d6c93596",
+  "evidence": {
+    "batch_fingerprint": "d2c2237106514846190bf821c44a758965dd3048c93d068db5f3c512d6c93596",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017396.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17396",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017398.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17398",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017399.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17399",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 8,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 8,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p30/oproofs-s00000-r00017396-n000004-0000-bed50af2d371df2b.parquet",
+      "sha256": "bed50af2d371df2b8f029f3a0ba1f55d9a1ab48ca8a8b56c88fab9d2759c4119",
+      "bytes": 51700,
+      "rows": 8,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17397"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017397.lean\",\"a00c6eefac018fdad613bd5203bef677e0c0f58eaa688bdc8bf31cd63feab8fa\",0,\"expected_average_score\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017400-n000004.json b/manifests/batches/oproofs/s00000-r00017400-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..c8eaddc7dd9d8db1770f1565d9b2d1029e4cfb1e
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017400-n000004.json
@@ -0,0 +1,46 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017400-n000004",
+  "batch_fingerprint": "a61beab6753efe409eed91abd3235eb9d7648ebd0245b18592ebd44984063eb9",
+  "evidence": {
+    "batch_fingerprint": "a61beab6753efe409eed91abd3235eb9d7648ebd0245b18592ebd44984063eb9",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017400.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17400",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017401.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17401",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017402.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17402",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017403.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17403",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017404-n000004.json b/manifests/batches/oproofs/s00000-r00017404-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..cd0e4c19b37540f3967b32d965498737f2a01ff7
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017404-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017404-n000004",
+  "batch_fingerprint": "20b77ede3a9b77266e1b36c18f9bd3c195e0dd4c1ab7c439ce2b162f6d277554",
+  "evidence": {
+    "batch_fingerprint": "20b77ede3a9b77266e1b36c18f9bd3c195e0dd4c1ab7c439ce2b162f6d277554",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017404.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17404",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017405.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17405",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017407.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17407",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 2,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 2,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p52/oproofs-s00000-r00017404-n000004-0000-4cd4ad0e515efea3.parquet",
+      "sha256": "4cd4ad0e515efea30a94ac590568379033474c467a9c7433594769cf71040632",
+      "bytes": 112567,
+      "rows": 2,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17406"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017406.lean\",\"0641d54ddbffecba04c5a028315dbc3f0a8623d0a86f01d9a4dbcb8d47dda019\",0,\"rect_to_polar\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017408-n000004.json b/manifests/batches/oproofs/s00000-r00017408-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..0e03cb29b05b038f6023923359450e034c2797df
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017408-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017408-n000004",
+  "batch_fingerprint": "280b5d5d9dc6a15736cc1e0e2bf01ffbc6c21f209dfb5f471ae7614eb632c6ec",
+  "evidence": {
+    "batch_fingerprint": "280b5d5d9dc6a15736cc1e0e2bf01ffbc6c21f209dfb5f471ae7614eb632c6ec",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017409.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17409",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017410.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17410",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017411.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17411",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 4,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 4,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pd6/oproofs-s00000-r00017408-n000004-0000-ec4efbaa5293c2c5.parquet",
+      "sha256": "ec4efbaa5293c2c56b06d9e21cedceeac502e693e63d3e5477b3497f267012c2",
+      "bytes": 166847,
+      "rows": 4,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17408"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017408.lean\",\"780c95c2d7fc7a92489b5213918c24fb4f47a13608d3ef1b02f7a96c4e98224e\",0,\"arithmetic_mean_first_n_pos_ints\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017412-n000004.json b/manifests/batches/oproofs/s00000-r00017412-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..03198f0eae2948b3b8ec45c34000df77c55ecc6f
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017412-n000004.json
@@ -0,0 +1,46 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017412-n000004",
+  "batch_fingerprint": "8bcddc3933528e691527841b0a48aa4b4c3fdda926d0d68cafcede019a478e0a",
+  "evidence": {
+    "batch_fingerprint": "8bcddc3933528e691527841b0a48aa4b4c3fdda926d0d68cafcede019a478e0a",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017412.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17412",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017413.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17413",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017414.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17414",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017415.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17415",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017416-n000004.json b/manifests/batches/oproofs/s00000-r00017416-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..6634362c8e85242cc831f626070ff617696ad18c
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017416-n000004.json
@@ -0,0 +1,46 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017416-n000004",
+  "batch_fingerprint": "05ea770d4230a9c45647ef45748cd727f160a9cf5d99731bd17c162a4c2729ab",
+  "evidence": {
+    "batch_fingerprint": "05ea770d4230a9c45647ef45748cd727f160a9cf5d99731bd17c162a4c2729ab",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017416.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17416",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017417.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17417",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017418.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17418",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017419.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17419",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017420-n000004.json b/manifests/batches/oproofs/s00000-r00017420-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..fb9bd5137df49da62d9e9f1fb161b8bb871d3e28
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017420-n000004.json
@@ -0,0 +1,59 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017420-n000004",
+  "batch_fingerprint": "e45061e15629228b7914f42782ba765e47ad7e5156bc6abae101a7da8b2196eb",
+  "evidence": {
+    "batch_fingerprint": "e45061e15629228b7914f42782ba765e47ad7e5156bc6abae101a7da8b2196eb",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 2,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017421.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17421",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017422.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17422",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 2,
+    "published_proofs": 2,
+    "published_transitions": 3,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 3,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pd8/oproofs-s00000-r00017420-n000004-0000-b2d633eca327667a.parquet",
+      "sha256": "b2d633eca327667a7ca1aed49e8974fbdc30ef47b9f68d5c32ea819a5eb87cc2",
+      "bytes": 128309,
+      "rows": 2,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    },
+    {
+      "path": "data/dev/pd8/oproofs-s00000-r00017420-n000004-0000-2d04ad31939b85fe.parquet",
+      "sha256": "2d04ad31939b85fe9190ac7b541fd4851076796acd5095bc017cf239f0ff788e",
+      "bytes": 28529,
+      "rows": 1,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17420",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17423"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017420.lean\",\"8a8d621d5cd482e190cd3266acde874ba4eb782749e37abeb7c8bae76d380b93\",0,\"new_female_percentage\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017423.lean\",\"a0844ebecc8c9ccd6b1297a0ed6bc929aa7da8a9626736fd039a689ad015b2d9\",0,\"problem_name\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017424-n000004.json b/manifests/batches/oproofs/s00000-r00017424-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..1ba8554b0e4bad2e35e9abf16eea4d514b76002e
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017424-n000004.json
@@ -0,0 +1,59 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017424-n000004",
+  "batch_fingerprint": "b0e5ccbe14bc9fa6fd260315ea4b79e8e64caf0483d8b6a5ac44351fe4215763",
+  "evidence": {
+    "batch_fingerprint": "b0e5ccbe14bc9fa6fd260315ea4b79e8e64caf0483d8b6a5ac44351fe4215763",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 2,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017425.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17425",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017426.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17426",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 2,
+    "published_proofs": 2,
+    "published_transitions": 6,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 6,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pf3/oproofs-s00000-r00017424-n000004-0000-220d47e5c2b7331d.parquet",
+      "sha256": "220d47e5c2b7331de5c7a6dd96477022dfc2b1ca8e179dbbc4e85494ea56d65f",
+      "bytes": 42987,
+      "rows": 4,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    },
+    {
+      "path": "data/internal_test/pf3/oproofs-s00000-r00017424-n000004-0000-be785feb29f70a1e.parquet",
+      "sha256": "be785feb29f70a1e9fd369515e4d9af37b68848ef8ff3b2874457df49a0a3b1e",
+      "bytes": 158269,
+      "rows": 2,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17424",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17427"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017424.lean\",\"b345343c15a245407afcf019c5c4d2eacfad2d6e9b87ccb39045431327e09efb\",0,\"proposition_4\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017427.lean\",\"6e1e6bbbbf0fae0868158f365e95cc9839a575f1ff35d41727657d6b279ee75f\",0,\"fraction_meaningful\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017428-n000004.json b/manifests/batches/oproofs/s00000-r00017428-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..68bd0dd14d21990ddab2cd9e702630cd3bfcc99b
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017428-n000004.json
@@ -0,0 +1,52 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017428-n000004",
+  "batch_fingerprint": "da1206104b07844be19ce45357dd3f1ad2e7914b379267682b3390984cca3079",
+  "evidence": {
+    "batch_fingerprint": "da1206104b07844be19ce45357dd3f1ad2e7914b379267682b3390984cca3079",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 2,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017429.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17429",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017430.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17430",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 2,
+    "published_proofs": 2,
+    "published_transitions": 9,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 9,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pf7/oproofs-s00000-r00017428-n000004-0000-a9e70f72d1be28af.parquet",
+      "sha256": "a9e70f72d1be28afe92793494af952a498ad7a7e47a788f157daa29545ae8af4",
+      "bytes": 173533,
+      "rows": 9,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17428",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17431"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017428.lean\",\"6e6ea28fc770f69e031ba80cade3a535aed95540e0a90b5ba5c8a9f9d3253933\",0,\"triangle_union_area\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017431.lean\",\"9fa546a08b0dc91fa7b54c1e5c5423540d540032a1e3d04e305a2b1139b06651\",0,\"lean_workbook\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017436-n000004.json b/manifests/batches/oproofs/s00000-r00017436-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..98e7458e85a1897cb96861e86d55c695ae9c983a
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017436-n000004.json
@@ -0,0 +1,46 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017436-n000004",
+  "batch_fingerprint": "28ce1b723c4b629257b58ed88705aaa76749aa86166a73f4f788f380295d97f2",
+  "evidence": {
+    "batch_fingerprint": "28ce1b723c4b629257b58ed88705aaa76749aa86166a73f4f788f380295d97f2",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017436.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17436",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017437.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17437",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017438.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17438",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017439.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17439",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017440-n000004.json b/manifests/batches/oproofs/s00000-r00017440-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..5cfe4171ec1e7496bee6e3e65874b489a1f0ea9f
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017440-n000004.json
@@ -0,0 +1,46 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017440-n000004",
+  "batch_fingerprint": "fa1b32ba359b39084b52a84569e930f7f12ee3ad6971c0375d359ed8bfb23b9d",
+  "evidence": {
+    "batch_fingerprint": "fa1b32ba359b39084b52a84569e930f7f12ee3ad6971c0375d359ed8bfb23b9d",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017440.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17440",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017441.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17441",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017442.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17442",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017443.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17443",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017444-n000004.json b/manifests/batches/oproofs/s00000-r00017444-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..e8966361a2d2b234b441595bf0efa5f7b7d40b0a
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017444-n000004.json
@@ -0,0 +1,46 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017444-n000004",
+  "batch_fingerprint": "8b515aa22a6eecd7f83c6fae2cbb65bf34c79db1f60e0405c11676a654e68701",
+  "evidence": {
+    "batch_fingerprint": "8b515aa22a6eecd7f83c6fae2cbb65bf34c79db1f60e0405c11676a654e68701",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017444.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17444",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017445.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17445",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017446.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17446",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017447.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17447",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017452-n000004.json b/manifests/batches/oproofs/s00000-r00017452-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..0e5d536c05b4454fd9a6228a817507e7f04a86ca
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017452-n000004.json
@@ -0,0 +1,46 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017452-n000004",
+  "batch_fingerprint": "c8ee0e42a5ade301f06d6efd8551bb0d2ba2e14db144afef26d9a346fd5a307b",
+  "evidence": {
+    "batch_fingerprint": "c8ee0e42a5ade301f06d6efd8551bb0d2ba2e14db144afef26d9a346fd5a307b",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 0,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017452.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17452",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017453.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17453",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017454.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17454",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017455.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17455",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": [],
+    "published_proofs": 0,
+    "published_transitions": 0,
+    "replay_failures": [],
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [],
+  "proof_ids": [],
+  "proof_keys": []
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017456-n000004.json b/manifests/batches/oproofs/s00000-r00017456-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..9aca27ba6eaf4657e3da60833057b81ad3b15452
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017456-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017456-n000004",
+  "batch_fingerprint": "5513494ae70e44f48eb0f50e4cf55db052f5687837fcdb1d09ea7896c739b58d",
+  "evidence": {
+    "batch_fingerprint": "5513494ae70e44f48eb0f50e4cf55db052f5687837fcdb1d09ea7896c739b58d",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017456.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17456",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017457.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17457",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017458.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17458",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 7,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 7,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/p82/oproofs-s00000-r00017456-n000004-0000-e77f7df8b299915b.parquet",
+      "sha256": "e77f7df8b299915b7f8f90d81cbcb8637d9be217237fc1a708d55575da49825e",
+      "bytes": 54796,
+      "rows": 7,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17459"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017459.lean\",\"83d46f2d7a31c4e5aef738f16eb459aa23299903760dd04c891c78de5e9eef74\",0,\"merchant_profit\"]"
+  ]
+}
\ No newline at end of file
diff --git a/manifests/batches/oproofs/s00000-r00017480-n000004.json b/manifests/batches/oproofs/s00000-r00017480-n000004.json
new file mode 100644
index 0000000000000000000000000000000000000000..f1af29814bb7847f90fdcbe738b6d33ea8dd98f8
--- /dev/null
+++ b/manifests/batches/oproofs/s00000-r00017480-n000004.json
@@ -0,0 +1,55 @@
+{
+  "format": "leangpt-parquet-v3",
+  "batch": "oproofs/s00000-r00017480-n000004",
+  "batch_fingerprint": "7eb3644f1a64cbb1cfff62e789c68ae1219f1cc151f6a0e71561b7a5a4229245",
+  "evidence": {
+    "batch_fingerprint": "7eb3644f1a64cbb1cfff62e789c68ae1219f1cc151f6a0e71561b7a5a4229245",
+    "contamination_matches": [],
+    "corpus_duplicate_proofs": [],
+    "failures": [],
+    "input_proofs": 4,
+    "input_units": 1,
+    "pretrace_duplicate_proofs": [],
+    "pretrace_source_duplicate_proofs": [
+      {
+        "file_path": "Full/Proof_00017481.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17481",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017482.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17482",
+        "reason": "source_exact_declaration"
+      },
+      {
+        "file_path": "Full/Proof_00017483.lean",
+        "id": "oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17483",
+        "reason": "source_exact_declaration"
+      }
+    ],
+    "proofs": 1,
+    "published_proofs": 1,
+    "published_transitions": 3,
+    "replay_failures": [],
+    "trace_mode": "individual",
+    "transitions": 3,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/pef/oproofs-s00000-r00017480-n000004-0000-43158aa4cc323b94.parquet",
+      "sha256": "43158aa4cc323b94fefde65b9a2188f004e72c994dcfcd92ede3e9243c82c902",
+      "bytes": 49540,
+      "rows": 3,
+      "revision": "4923dbcdc597f8c9e3686e2eacb6262e73ba8127"
+    }
+  ],
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17480"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00017480.lean\",\"b610fbdfb21bf8b009eab19ddf6c0762cbe5487c12c4631fbeb6070026e7d4b9\",0,\"distance_between_hyosung_and_mimi_after_15_minutes\"]"
+  ]
+}
\ No newline at end of file