Coupled interleaved syndromes with a redundant boundary equation
- Model
- gpt-6.1-sol
- Turns
- 20
- Duration
- 5 min
The attempt explored coupled interleaved syndromes with a redundant boundary equation, first inspecting the existing upper-track formalization and benchmark, then prototyping the construction in Python and adding `SyndromePencil.lean`. Lean checks passed for that file, but no candidate reached the gate, so the proposed strategy was not verified as a solution. The attempt stopped before finishing.
Lesson for the next attempt. A successful Lean check of an intermediate lemma is not enough; prioritize connecting the construction to the target theorem and running the gate early.
Ended because: Stopped at its limit.Thought process
+00:00
started on "Coupled interleaved syndromes with a redundant boundary equation" with GPT 6.1 Sol (medium effort)
+00:06 · 5.7s
turn 1: 1 tool call, 29 output tokens
+00:06 · list_files
listed repo/ProximityPrize/SubmissionUpper (7 entries)
+00:09 · 3.5s
turn 2: 3 tool calls, 121 output tokens
+00:09 · read_file
read repo/ProximityPrize/SubmissionUpper/OrbitPencil.lean lines 1-210
+00:09 · read_file
read repo/ProximityPrize/SubmissionUpper/Solution.lean lines 1-83
+00:09 · read_file
read repo/ProximityPrize/Benchmark/TargetUpper.lean lines 1-55
+00:22 · 13.1s
turn 3: 3 tool calls, 185 output tokens
+00:22 · read_file
read repo/ProximityPrize/SubmissionUpper/OrbitPencil.lean lines 215-459
+00:22 · read_file
read repo/ProximityPrize/Benchmark/IRSProfile.lean lines 1-178
+00:22 · search
search failed for /parityCheck|parity_check|syndrome/
+00:43 · 20.6s
turn 4: 1 tool call, 624 output tokens
+00:43 · list_files
listed repo/.lake/packages (21 entries)
+00:50 · 7.3s
turn 5: 3 tool calls, 141 output tokens
+00:50 · search
searched repo/.lake/packages/Arklib/ArkLib for /parityCheck|parity_check|syndrome/: no matches
+00:50 · read_file
read repo/ProximityPrize/SubmissionUpper/OrbitPencil.lean lines 460-594
+00:50 · search
searched repo/.lake/packages/mathlib/Mathlib/LinearAlgebra for /mem_span_range_iff_exists_fun|span_range_eq_range/: 14 lines
+01:37 · 46.5s
turn 6: 1 tool call, 2381 output tokens
+01:37 · write_file
wrote scratch/coupled_syndromes.py (146 lines)
+01:40 · 2.6s
turn 7: 1 tool call, 34 output tokens
+01:40 · run_python
run_python: exit 0 in 0s
+01:50 · 10.2s
turn 8: 1 tool call, 403 output tokens
+01:50 · read_file
read [deps]/mathlib/Mathlib/LinearAlgebra/Finsupp/LinearCombination.lean lines 368-396
+02:17 · 27.5s
turn 9: 1 tool call, 1587 output tokens
+02:17 · write_file
wrote repo/ProximityPrize/SubmissionUpper/SyndromePencil.lean (108 lines)
+02:20 · 2.3s
turn 10: 1 tool call, 33 output tokens
+02:36 · lean_check · 16.3s
lean_check repo/ProximityPrize/SubmissionUpper/SyndromePencil.lean: ok in 16s
+02:47 · 11.0s
turn 11: 2 tool calls, 401 output tokens
+02:47 · search
searched repo/.lake/packages/mathlib/Mathlib/Algebra/Polynomial for /natDegree_X_sub_C|natDegree_X_mul|natDegree_C_mul|natDegree_/: 49 lines
+02:47 · run_python
run_python: exit 0 in 0s
+02:58 · 10.5s
turn 12: 1 tool call, 315 output tokens
+02:58 · edit_file
edited repo/ProximityPrize/SubmissionUpper/SyndromePencil.lean
+03:10 · 12.3s
turn 13: 1 tool call, 565 output tokens
+03:10 · edit_file
edited repo/ProximityPrize/SubmissionUpper/SyndromePencil.lean
+03:21 · 11.4s
turn 14: 1 tool call, 33 output tokens
+03:26 · lean_check · 4.3s
lean_check repo/ProximityPrize/SubmissionUpper/SyndromePencil.lean: ok in 4s
+03:40 · 14.1s
turn 15: 1 tool call, 539 output tokens
+03:40 · run_python
run_python: exit 0 in 0s
+04:13 · 32.6s
turn 16: 1 tool call, 1318 output tokens
+04:13 · edit_file
edited scratch/coupled_syndromes.py
+04:17 · 4.2s
turn 17: 1 tool call, 111 output tokens
+04:17 · run_python
run_python: exit 0 in 0s
+04:23 · 5.8s
turn 18: 1 tool call, 155 output tokens
+04:23 · edit_file
edited scratch/coupled_syndromes.py
+04:26 · 3.0s
turn 19: 1 tool call, 77 output tokens
+04:26 · edit_file
edited scratch/coupled_syndromes.py
+04:31 · 4.8s
turn 20: 1 tool call, 154 output tokens
+04:31 · edit_file
edited scratch/coupled_syndromes.py