Research-Stack/shared-data/proof_traces/canary_cases_and_elim.trace.json
Brandon Schneider 153a8da5c5 feat(pist): Tier 2 trace canary — 24 multi-tactic Lean theorems
- 24/24 processed, 0 errors (12 verified, 12 failed)
- Average 2.0 steps per proof (max 5 steps)
- 11 tactic families detected
- Verified proofs: avg gap=2.50 vs Failed: avg gap=1.50
- proof_traces/*.trace.json + *.decomp.json stored per theorem
2026-05-26 02:37:22 -05:00

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JSON

{
"trace_version": "proof-trace-v1",
"receipt_hash": "b9e3ed9d2456aff7773a8aa63c814a443e4fd9ace06630c76776b25ba0885d37",
"theorem_name": "cases_and_elim",
"status": "verified",
"tactic_count": 3,
"total_elapsed_ms": 3345,
"steps": [
{
"step": 0,
"tactic": "cases h",
"before_goal_hash": "01ba4719c80b6fe911b091a7c05124b64eeece964e09c058ef8f9805daca546b",
"after_goal_hash": "01ba4719c80b6fe911b091a7c05124b64eeece964e09c058ef8f9805daca546b",
"before_goal_text": "\n",
"after_goal_text": "\n",
"goal_count_before": 1,
"goal_count_after": 1,
"hypothesis_count_before": 0,
"hypothesis_count_after": 0,
"operator_count_before": 0,
"operator_count_after": 0,
"delta": {
"symbol_delta": 0,
"hypothesis_delta": 0,
"goal_count_delta": 0
},
"elapsed_ms": 1072,
"result": "failure",
"stdout_preview": "",
"stderr_preview": ""
},
{
"step": 1,
"tactic": "apply h2",
"before_goal_hash": "01ba4719c80b6fe911b091a7c05124b64eeece964e09c058ef8f9805daca546b",
"after_goal_hash": "01ba4719c80b6fe911b091a7c05124b64eeece964e09c058ef8f9805daca546b",
"before_goal_text": "\n",
"after_goal_text": "\n",
"goal_count_before": 1,
"goal_count_after": 1,
"hypothesis_count_before": 0,
"hypothesis_count_after": 0,
"operator_count_before": 0,
"operator_count_after": 0,
"delta": {
"symbol_delta": 0,
"hypothesis_delta": 0,
"goal_count_delta": 0
},
"elapsed_ms": 1148,
"result": "failure",
"stdout_preview": "",
"stderr_preview": ""
},
{
"step": 2,
"tactic": "assumption",
"before_goal_hash": "01ba4719c80b6fe911b091a7c05124b64eeece964e09c058ef8f9805daca546b",
"after_goal_hash": "01ba4719c80b6fe911b091a7c05124b64eeece964e09c058ef8f9805daca546b",
"before_goal_text": "\n",
"after_goal_text": "\n",
"goal_count_before": 1,
"goal_count_after": 1,
"hypothesis_count_before": 0,
"hypothesis_count_after": 0,
"operator_count_before": 0,
"operator_count_after": 0,
"delta": {
"symbol_delta": 0,
"hypothesis_delta": 0,
"goal_count_delta": 0
},
"elapsed_ms": 1125,
"result": "success",
"stdout_preview": "",
"stderr_preview": ""
}
],
"goal_transition_matrix": [
[
3
]
],
"flexure_joints": [
{
"step": 0,
"tactic": "cases h",
"tactic_family": "case_analysis",
"delta_score": 0,
"delta": {
"symbol_delta": 0,
"hypothesis_delta": 0,
"goal_count_delta": 0
},
"result": "failure"
},
{
"step": 1,
"tactic": "apply h2",
"tactic_family": "discharge",
"delta_score": 0,
"delta": {
"symbol_delta": 0,
"hypothesis_delta": 0,
"goal_count_delta": 0
},
"result": "failure"
},
{
"step": 2,
"tactic": "assumption",
"tactic_family": "unknown",
"delta_score": 0,
"delta": {
"symbol_delta": 0,
"hypothesis_delta": 0,
"goal_count_delta": 0
},
"result": "success"
}
]
}