Certify an exceptional coefficient fibre using additive energy
- Model
- gpt-6.1-sol
- Turns
- 28
- Duration
- 6 min
The attempt explored certifying an exceptional coefficient fibre via additive energy. It inspected the existing upper-submission files and Mathlib’s symmetric-polynomial and Newton-identity support, then built Python experiments and a Lean scratch file for fibre-counting arguments.
Ended because: Stopped at its limit.Thought process
+00:00
started on "Certify an exceptional coefficient fibre using additive energy" with GPT 6.1 Sol (medium effort)
+00:02 · 1.7s
turn 1: 1 tool call, 29 output tokens
+00:02 · list_files
listed repo/ProximityPrize/SubmissionUpper (7 entries)
+00:05 · 3.1s
turn 2: 3 tool calls, 124 output tokens
+00:05 · read_file
read repo/ProximityPrize/SubmissionUpper/OrbitPencil.lean lines 1-180
+00:05 · read_file
read repo/ProximityPrize/SubmissionUpper/Solution.lean lines 1-83
+00:05 · search
searched repo/.lake/packages/mathlib/Mathlib for /Newton|newton|powerSum/: 64 lines
+00:18 · 12.4s
turn 3: 3 tool calls, 528 output tokens
+00:18 · read_file
read repo/ProximityPrize/SubmissionUpper/OrbitPencil.lean lines 181-330
+00:18 · read_file
read [deps]/mathlib/Mathlib/RingTheory/MvPolynomial/Symmetric/NewtonIdentities.lean lines 218-273
+00:18 · list_files
listed scratch (0 entries)
+00:51 · 33.5s
turn 4: 1 tool call, 1919 output tokens
+00:51 · write_file
wrote scratch/moment_fibres.py (100 lines)
+00:53 · 2.2s
turn 5: 1 tool call, 79 output tokens
+00:54 · run_python
run_python: exit 0 in 1s
+01:04 · 10.4s
turn 6: 1 tool call, 233 output tokens
+01:04 · edit_file
edited scratch/moment_fibres.py
+01:10 · 6.1s
turn 7: 3 tool calls, 308 output tokens
+01:10 · search
searched repo/.lake/packages/mathlib/Mathlib/Data/Finset for /sum_card.*fiber|card.*sum.*filter|sum.*card.*filter/: no matches
+01:10 · read_file
read [deps]/mathlib/Mathlib/RingTheory/MvPolynomial/Symmetric/Defs.lean lines 1-130
+01:11 · run_python
run_python: exit 0 in 0s
+01:31 · 20.0s
turn 8: 1 tool call, 796 output tokens
+01:32 · run_python
run_python: exit 0 in 1s
+01:58 · 26.7s
turn 9: 1 tool call, 1791 output tokens
+01:58 · write_file
wrote scratch/CoefficientEnergy.lean (99 lines)
+02:00 · 1.8s
turn 10: 1 tool call, 25 output tokens
+02:38 · lean_check · 37.7s
lean_check scratch/CoefficientEnergy.lean: 9 errors in 38s
+02:44 · 6.4s
turn 11: 1 tool call, 71 output tokens
+02:44 · search
searched repo/.lake/packages/mathlib/Mathlib/RingTheory/MvPolynomial/Symmetric/NewtonIdentities.lean for /open.*antidiagonal|open Nat|mem_antidiagonal/: 2 lines
+02:46 · 2.0s
turn 12: 1 tool call, 48 output tokens
+02:46 · read_file
read [deps]/mathlib/Mathlib/RingTheory/MvPolynomial/Symmetric/NewtonIdentities.lean lines 35-59
+02:49 · 2.3s
turn 13: 1 tool call, 83 output tokens
+02:49 · run_python
run_python: exit 0 in 0s
+02:51 · 2.0s
turn 14: 1 tool call, 25 output tokens
+03:00 · lean_check · 9.3s
lean_check scratch/CoefficientEnergy.lean: 7 errors in 9s
+03:03 · 2.7s
turn 15: 1 tool call, 57 output tokens
+03:03 · search
searched repo/.lake/packages/mathlib/Mathlib/Data/Finset/NatAntidiagonal.lean for /def antidiagonal|theorem mem_antidiagonal|namespace/: 3 lines
+03:09 · 6.3s
turn 16: 1 tool call, 89 output tokens
+03:09 · run_python
run_python: exit 0 in 0s
+03:11 · 2.3s
turn 17: 1 tool call, 25 output tokens
+03:21 · lean_check · 9.2s
lean_check scratch/CoefficientEnergy.lean: 7 errors in 9s
+03:28 · 7.4s
turn 18: 1 tool call, 57 output tokens
+03:28 · read_file
read [deps]/mathlib/Mathlib/Data/Finset/NatAntidiagonal.lean lines 25-89
+03:38
model call failed (upstream), retrying: This content was flagged for possible cybersecurity risk. If this seems wrong, try rephrasing your request. If you’re doing authorized security work that requir
+03:51 · 2.6s
turn 19: 1 tool call, 101 output tokens
+03:51 · run_python
run_python: exit 0 in 0s
+04:01
model call failed (upstream), retrying: This content was flagged for possible cybersecurity risk. If this seems wrong, try rephrasing your request. If you’re doing authorized security work that requir
+04:13
model call failed (upstream), retrying: This content was flagged for possible cybersecurity risk. If this seems wrong, try rephrasing your request. If you’re doing authorized security work that requir
+04:24
model call failed (upstream), retrying: This content was flagged for possible cybersecurity risk. If this seems wrong, try rephrasing your request. If you’re doing authorized security work that requir
+04:37 · 2.5s
turn 20: 1 tool call, 25 output tokens
+04:45 · lean_check · 8.3s
lean_check scratch/CoefficientEnergy.lean: ok in 8s
+04:51 · 5.7s
turn 21: 1 tool call, 164 output tokens
+04:51 · search
searched repo/.lake/packages/mathlib/Mathlib for /sum_fiberwise|sum_card_fiber|card_eq_sum_card/: 51 lines
+04:56 · 5.1s
turn 22: 1 tool call, 268 output tokens
+04:56 · run_python
run_python: exit 0 in 0s
+04:58 · 1.8s
turn 23: 1 tool call, 25 output tokens
+05:07 · lean_check · 8.9s
lean_check scratch/CoefficientEnergy.lean: ok in 9s
+05:24 · 17.0s
turn 24: 1 tool call, 673 output tokens
+05:24 · search
searched repo/ProximityPrize/SubmissionUpper/OrbitPencil.lean for /card.*59|59.*card|card.*F|gamma.*card/: 20 lines
+05:29 · 4.7s
turn 25: 1 tool call, 172 output tokens
+05:29 · edit_file
edited scratch/moment_fibres.py
+05:37 · 8.8s
turn 26: 1 tool call, 426 output tokens
+05:37 · write_file
wrote scratch/mixed_cosets.py (29 lines)
+05:40 · 3.0s
turn 27: 1 tool call, 106 output tokens
+05:42 · run_python · 1.6s
run_python: exit 0 in 2s
+06:07 · 25.4s
turn 28: 1 tool call, 1399 output tokens
+06:07 · write_file
wrote scratch/energy_findings.md (80 lines)