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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
This commit is contained in:
Brandon Schneider
parent
29bef16216
commit
31890cf3e9
54 changed files with 4515 additions and 0 deletions
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@ -269,6 +269,7 @@ def main():
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json.dump(result, f, indent=2)
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print(f"\nDecomposition: {out_path}", flush=True)
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print(json.dumps(result))
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return 0
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132
4-Infrastructure/shim/run_trace_canary.py
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132
4-Infrastructure/shim/run_trace_canary.py
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@ -0,0 +1,132 @@
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#!/usr/bin/env python3
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"""Multi-tactic canary batch for Tier 2 trace pipeline."""
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import json
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import os
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import sys
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import time
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import subprocess
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from pathlib import Path
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from collections import Counter
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from trace_canary_theorems import CANARY_THEOREMS
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TRACES_DIR = os.path.join(os.path.dirname(__file__), "../..", "shared-data/proof_traces")
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VECTORS_PATH = os.path.join(os.path.dirname(__file__), "../..", "shared-data/pist_trace_canary_vectors.jsonl")
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REPORT_PATH = os.path.join(os.path.dirname(__file__), "../..", "shared-data/pist_trace_canary_report.json")
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BRIDGE = os.path.join(os.path.dirname(__file__), "lean_trace_bridge.py")
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DECOMPOSE = os.path.join(os.path.dirname(__file__), "pist_trace_decompose.py")
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PROOF_SERVER_TOKEN = os.environ.get("PROOF_SERVER_TOKEN", "")
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if not PROOF_SERVER_TOKEN:
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tf = os.environ.get("PROOF_SERVER_TOKEN_FILE", os.path.expanduser("~/.config/ene/language-proof-server.token"))
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try:
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PROOF_SERVER_TOKEN = Path(tf).read_text().strip()
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except (FileNotFoundError, OSError):
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PROOF_SERVER_TOKEN = ""
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def run_pipeline(theorem: dict) -> dict:
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name = theorem["name"]
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code = theorem["code"]
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trace_path = os.path.join(TRACES_DIR, f"canary_{name}.trace.json")
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decomp_path = os.path.join(TRACES_DIR, f"canary_{name}.decomp.json")
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os.makedirs(TRACES_DIR, exist_ok=True)
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t0 = time.time()
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r1 = subprocess.run(
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[sys.executable, BRIDGE, "--code", code, "--name", name, "--out", trace_path],
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capture_output=True, text=True, timeout=120,
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env={**os.environ, "PROOF_SERVER_TOKEN": PROOF_SERVER_TOKEN},
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)
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if r1.returncode != 0:
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return {"error": f"bridge: {r1.stderr[:200]}", "name": name}
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r2 = subprocess.run(
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[sys.executable, DECOMPOSE, trace_path, "--out", decomp_path],
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capture_output=True, text=True, timeout=30,
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)
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if r2.returncode != 0 or not os.path.exists(decomp_path):
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return {"error": f"decomp: {r2.stderr[:200]}", "name": name}
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with open(decomp_path) as f:
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decomposition = json.load(f)
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return {"name": name, "trace_file": trace_path, "wall_s": round(time.time() - t0, 2),
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"decomposition": decomposition}
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def report(results, errors):
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good = [r for r in results if "error" not in r]
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n = len(good)
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print(f"\n{'='*60}\nTIER 2 TRACE CANARY REPORT\n{'='*60}", flush=True)
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print(f"Total: {len(results)} ({n} ok, {len(errors)} errors)", flush=True)
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steps = [len(r["decomposition"].get("flexure_joints", [])) for r in good]
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if steps:
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print(f"Steps: mean={sum(steps)/len(steps):.1f} max={max(steps)} min={min(steps)}", flush=True)
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statuses = Counter(r["decomposition"]["trace_summary"]["status"] for r in good)
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print(f"Status: {dict(statuses)}", flush=True)
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families = Counter()
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for r in good:
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for f, c in r["decomposition"].get("tactic_family_distribution", {}).items():
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families[f] += c
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print(f"Families: {dict(families)}", flush=True)
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u_mat = len(set(r["decomposition"]["spectral"]["n_states"] for r in good))
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u_rank = len(set(r["decomposition"]["spectral"]["rank_estimate"] for r in good))
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u_gap = len(set(round(r["decomposition"]["spectral"]["spectral_gap"], 4) for r in good))
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print(f"Unique states: {u_mat}/{n} ranks: {u_rank} gaps: {u_gap}/{n}", flush=True)
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v_gaps = [r for r in good if r["decomposition"]["trace_summary"]["status"] == "verified"]
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f_gaps = [r for r in good if r["decomposition"]["trace_summary"]["status"] == "failed"]
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for label, group in [("verified", v_gaps), ("failed", f_gaps)]:
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if group:
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gaps = [r["decomposition"]["spectral"]["spectral_gap"] for r in group]
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print(f"{label} (n={len(group)}): gap={sum(gaps)/len(gaps):.4f} [{min(gaps):.4f},{max(gaps):.4f}]", flush=True)
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with open(VECTORS_PATH, "w") as f:
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for r in good:
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row = {
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"name": r["name"], "status": r["decomposition"]["trace_summary"]["status"],
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"n_steps": len(r["decomposition"].get("flexure_joints", [])),
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"n_states": r["decomposition"]["spectral"]["n_states"],
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"spectral_gap": r["decomposition"]["spectral"]["spectral_gap"],
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"rank_estimate": r["decomposition"]["spectral"]["rank_estimate"],
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"density": r["decomposition"]["spectral"]["density"],
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"feature_vector": r["decomposition"]["feature_vector"],
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"tactic_family_distribution": r["decomposition"]["tactic_family_distribution"],
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}
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f.write(json.dumps(row) + "\n")
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print(f"Vectors: {VECTORS_PATH}", flush=True)
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with open(REPORT_PATH, "w") as f:
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json.dump({"n": n, "n_errors": len(errors), "status_distribution": dict(statuses),
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"tactic_family_distribution": dict(families),
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"unique_spectral_gaps": u_gap, "unique_rank_estimates": u_rank}, f, indent=2)
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print(f"Report: {REPORT_PATH}", flush=True)
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def main():
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theorems = CANARY_THEOREMS
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print(f"Trace canary: {len(theorems)} theorems\n", flush=True)
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results, errors = [], []
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for i, theorem in enumerate(theorems):
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name = theorem["name"]
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print(f" [{i+1}/{len(theorems)}] {name:30s} ... ", end="", flush=True)
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r = run_pipeline(theorem)
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if "error" in r:
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print(f"ERROR: {r['error'][:60]}", flush=True)
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errors.append(r)
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else:
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st = r["decomposition"]["trace_summary"]["status"]
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ns = len(r["decomposition"].get("flexure_joints", []))
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gap = r["decomposition"]["spectral"]["spectral_gap"]
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print(f"{st:10s} steps={ns:2d} gap={gap:.4f} rank={r['decomposition']['spectral']['rank_estimate']}", flush=True)
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results.append(r)
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report(results, errors)
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return 0 if len(errors) < len(theorems) / 2 else 1
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if __name__ == "__main__":
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main()
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157
4-Infrastructure/shim/trace_canary_theorems.py
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157
4-Infrastructure/shim/trace_canary_theorems.py
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@ -0,0 +1,157 @@
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CANARY_THEOREMS = [
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# ── 1. rewrite chains (each step necessary) ──
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{
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"name": "rw_chain_eq",
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"code": 'theorem rw_chain_eq (a b c : Nat) (h1 : a = b) (h2 : b = c) : a = c := by\n rw [h1]\n rw [h2]',
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"domain": "equality", "proof_method": "rewrite", "joint": "equality_chaining_2step",
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"obstruction": None, "rrc_shape": "CadForceProbeReceipt",
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},
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{
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"name": "rw_chain_mixed",
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"code": 'theorem rw_chain_mixed (a b : Nat) (h : a = b) : a + 0 = b := by\n rw [h]\n simp',
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"domain": "arithmetic", "proof_method": "rewrite", "joint": "rw_then_simp",
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"obstruction": None, "rrc_shape": "CadForceProbeReceipt",
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},
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{
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"name": "rw_chain_3step",
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"code": 'theorem rw_chain_3step (a b c d : Nat) (h1 : a = b) (h2 : b = c) (h3 : c = d) : a = d := by\n rw [h1]\n rw [h2]\n rw [h3]',
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"domain": "equality", "proof_method": "rewrite", "joint": "equality_chaining_3step",
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"obstruction": None, "rrc_shape": "CadForceProbeReceipt",
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},
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{
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"name": "rw_then_omega",
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"code": 'theorem rw_then_omega (a b c : Nat) (h : a = b + c) : a * 2 = (b + c) * 2 := by\n rw [h]\n omega',
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"domain": "arithmetic", "proof_method": "rewrite", "joint": "rw_then_arithmetic",
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"obstruction": None, "rrc_shape": "CadForceProbeReceipt",
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},
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# ── 2. case analysis chains ──
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{
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"name": "cases_or_swap",
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"code": 'theorem cases_or_swap (A B : Prop) (h : A ∨ B) : B ∨ A := by\n cases h\n · right; exact h\n · left; exact h',
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"domain": "logic", "proof_method": "cases", "joint": "disjunction_swap",
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"obstruction": None, "rrc_shape": "LogogramProjection",
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},
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{
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"name": "cases_and_elim",
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"code": 'theorem cases_and_elim (A B C : Prop) (h : A ∧ B) (h2 : A → C) : C := by\n cases h\n apply h2\n assumption',
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"domain": "logic", "proof_method": "cases", "joint": "conjunction_elim_then_apply",
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"obstruction": None, "rrc_shape": "LogogramProjection",
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},
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{
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"name": "constructor_example",
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"code": 'theorem constructor_example (A B : Prop) (hA : A) (hB : B) : A ∧ B := by\n constructor\n · exact hA\n · exact hB',
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"domain": "logic", "proof_method": "constructor", "joint": "conjunction_intro",
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"obstruction": None, "rrc_shape": "LogogramProjection",
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},
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{
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"name": "apply_chain",
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"code": 'theorem apply_chain (A B C : Prop) (h1 : A → B) (h2 : B → C) (hA : A) : C := by\n apply h2\n apply h1\n exact hA',
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"domain": "logic", "proof_method": "apply", "joint": "implication_chaining",
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"obstruction": None, "rrc_shape": "LogogramProjection",
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},
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# ── 3. omega with multiple constraints ──
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{
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"name": "omega_chain_ineq",
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"code": 'theorem omega_chain_ineq (a b c : Nat) (h1 : a ≤ b) (h2 : b ≤ c) : a ≤ c := by\n omega',
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"domain": "order", "proof_method": "omega", "joint": "transitivity_closure",
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"obstruction": None, "rrc_shape": "SignalShapedRouteCompiler",
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},
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{
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"name": "omega_reorder_sum",
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"code": 'theorem omega_reorder_sum (a b c : Nat) : a + b + c = a + c + b := by\n omega',
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"domain": "arithmetic", "proof_method": "omega", "joint": "reorder_summands",
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"obstruction": None, "rrc_shape": "SignalShapedRouteCompiler",
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},
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{
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"name": "omega_distrib",
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"code": 'theorem omega_distrib (a b c : Nat) : a * (b + c) = a * b + a * c := by\n omega',
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"domain": "algebra", "proof_method": "omega", "joint": "distributivity",
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"obstruction": None, "rrc_shape": "SignalShapedRouteCompiler",
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},
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{
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"name": "omega_chain_unsat",
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"code": 'theorem omega_chain_unsat (x : Nat) : x < x := by\n omega',
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"domain": "order", "proof_method": "omega", "joint": "unsatisfiable_linear",
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"obstruction": "unsatisfiable_goal", "rrc_shape": "HoldForUnlawfulOrUnderspecifiedShape",
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},
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# ── 4. induction chains ──
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{
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"name": "induct_add_zero",
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"code": 'theorem induct_add_zero (n : Nat) : n + 0 = n := by\n induction n with\n | zero => simp\n | succ n ih => simp [add_succ, ih]',
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"domain": "arithmetic", "proof_method": "induction", "joint": "inductive_proof",
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"obstruction": None, "rrc_shape": "ProjectableGeometryTopology",
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},
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{
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"name": "induct_add_succ",
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"code": 'theorem induct_add_succ (n m : Nat) : n + m.succ = (n + m).succ := by\n induction n with\n | zero => simp\n | succ k ih => simp [add_succ, ih]',
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"domain": "arithmetic", "proof_method": "induction", "joint": "inductive_succ",
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"obstruction": None, "rrc_shape": "ProjectableGeometryTopology",
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},
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{
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"name": "induct_mul_zero",
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"code": 'theorem induct_mul_zero (n : Nat) : n * 0 = 0 := by\n induction n with\n | zero => simp\n | succ k ih => simp [mul_add, add_comm, ih]',
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"domain": "arithmetic", "proof_method": "induction", "joint": "inductive_mul",
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"obstruction": None, "rrc_shape": "ProjectableGeometryTopology",
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},
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{
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"name": "induct_factorial",
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"code": 'def fac : Nat → Nat\n | 0 => 1\n | n+1 => fac n * (n+1)\ntheorem induct_fact (n : Nat) : fac 0 = 1 := by\n simp [fac]',
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"domain": "arithmetic", "proof_method": "simp", "joint": "definitional_unfold",
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"obstruction": None, "rrc_shape": "CognitiveLoadField",
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},
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# ── 5. intro + apply chains ──
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{
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"name": "intro_all",
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"code": 'theorem intro_all (A B C : Prop) : A → B → C → A := by\n intro hA\n intro hB\n intro hC\n exact hA',
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"domain": "logic", "proof_method": "intro", "joint": "multiple_introductions",
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"obstruction": None, "rrc_shape": "LogogramProjection",
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},
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{
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"name": "intro_apply",
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"code": 'theorem intro_apply (A B : Prop) : (A → B) → A → B := by\n intro h\n intro hA\n apply h\n exact hA',
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"domain": "logic", "proof_method": "apply", "joint": "intro_then_apply",
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"obstruction": None, "rrc_shape": "LogogramProjection",
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},
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{
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"name": "have_chain",
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"code": 'theorem have_chain (A B C : Prop) (hAB : A → B) (hBC : B → C) (hA : A) : C := by\n have hB : B := hAB hA\n have hC : C := hBC hB\n exact hC',
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"domain": "logic", "proof_method": "have", "joint": "lemma_chaining",
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"obstruction": None, "rrc_shape": "LogogramProjection",
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},
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{
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"name": "calc_chain",
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"code": 'theorem calc_chain (a b : Nat) : (a + b) * (a + b) = a*a + 2*a*b + b*b := by\n ring\n omega',
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"domain": "algebra", "proof_method": "ring", "joint": "ring_then_omega",
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"obstruction": None, "rrc_shape": "SignalShapedRouteCompiler",
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},
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# ── 6. failure cases ──
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{
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"name": "fail_type_mismatch",
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"code": 'theorem fail_type_mismatch (n : Nat) : n = (\"hello\" : String) := by\n rfl',
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"domain": "type_error", "proof_method": "rfl", "joint": "type_mismatch",
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"obstruction": "type_mismatch", "rrc_shape": "HoldForUnlawfulOrUnderspecifiedShape",
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},
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{
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"name": "fail_missing_lemma",
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"code": 'theorem fail_missing_lemma (n : Nat) : n = n + 0 := by\n rw [imaginary_lemma]',
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"domain": "arithmetic", "proof_method": "rewrite", "joint": "missing_dependency",
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"obstruction": "missing_lemma", "rrc_shape": "HoldForUnlawfulOrUnderspecifiedShape",
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},
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{
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"name": "fail_unsat",
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"code": 'theorem fail_unsat (x : Nat) (h : x > 0) : x = 0 := by\n omega',
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"domain": "order", "proof_method": "omega", "joint": "contradictory_goal",
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"obstruction": "unsatisfiable_goal", "rrc_shape": "HoldForUnlawfulOrUnderspecifiedShape",
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},
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{
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"name": "fail_bad_coercion",
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"code": 'theorem fail_bad_coercion (n : Float) : (n : Nat) = (n : Int) := by\n rfl',
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"domain": "type_error", "proof_method": "rfl", "joint": "coercion_mismatch",
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"obstruction": "type_mismatch", "rrc_shape": "HoldForUnlawfulOrUnderspecifiedShape",
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},
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]
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23
shared-data/pist_trace_canary_report.json
Normal file
23
shared-data/pist_trace_canary_report.json
Normal file
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{
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"n": 24,
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"n_errors": 0,
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"status_distribution": {
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"verified": 12,
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"failed": 12
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},
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"tactic_family_distribution": {
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"rewrite": 8,
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"normalization": 5,
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"arithmetic": 7,
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"case_analysis": 2,
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"unknown": 3,
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"discharge": 12,
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"constructor": 1,
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"introduction": 5,
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"lemma_introduction": 2,
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"algebraic": 1,
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"reflexivity": 2
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},
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"unique_spectral_gaps": 5,
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"unique_rank_estimates": 1
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}
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24
shared-data/pist_trace_canary_vectors.jsonl
Normal file
24
shared-data/pist_trace_canary_vectors.jsonl
Normal file
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@ -0,0 +1,24 @@
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{"name": "rw_chain_eq", "status": "verified", "n_steps": 2, "n_states": 1, "spectral_gap": 2.0, "rank_estimate": 1, "density": 2.0, "feature_vector": [2, 1, 2.0, 2.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.5, 2524], "tactic_family_distribution": {"rewrite": 2}}
|
||||
{"name": "rw_chain_mixed", "status": "verified", "n_steps": 2, "n_states": 1, "spectral_gap": 2.0, "rank_estimate": 1, "density": 2.0, "feature_vector": [2, 1, 2.0, 2.0, 0, 1, 0.0, 0.0, 0.0, 1.0, 0.5, 2194], "tactic_family_distribution": {"rewrite": 1, "normalization": 1}}
|
||||
{"name": "rw_chain_3step", "status": "verified", "n_steps": 3, "n_states": 1, "spectral_gap": 3.0, "rank_estimate": 1, "density": 3.0, "feature_vector": [3, 1, 3.0, 3.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.3333333333333333, 3279], "tactic_family_distribution": {"rewrite": 3}}
|
||||
{"name": "rw_then_omega", "status": "failed", "n_steps": 2, "n_states": 1, "spectral_gap": 2.0, "rank_estimate": 1, "density": 2.0, "feature_vector": [2, 1, 2.0, 2.0, 0, 1, 0.0, 0.0, 0.0, 1.0, 0.5, 2137], "tactic_family_distribution": {"rewrite": 1, "arithmetic": 1}}
|
||||
{"name": "cases_or_swap", "status": "failed", "n_steps": 5, "n_states": 1, "spectral_gap": 5.0, "rank_estimate": 1, "density": 5.0, "feature_vector": [5, 1, 5.0, 5.0, 0, 1, 0.0, 0.0, 0.0, 1.5219, 0.0, 5552], "tactic_family_distribution": {"case_analysis": 1, "unknown": 2, "discharge": 2}}
|
||||
{"name": "cases_and_elim", "status": "verified", "n_steps": 3, "n_states": 1, "spectral_gap": 3.0, "rank_estimate": 1, "density": 3.0, "feature_vector": [3, 1, 3.0, 3.0, 0, 1, 0.0, 0.0, 0.0, 1.585, 0.3333333333333333, 3345], "tactic_family_distribution": {"case_analysis": 1, "discharge": 1, "unknown": 1}}
|
||||
{"name": "constructor_example", "status": "verified", "n_steps": 3, "n_states": 1, "spectral_gap": 3.0, "rank_estimate": 1, "density": 3.0, "feature_vector": [3, 1, 3.0, 3.0, 0, 1, 0.0, 0.0, 0.0, 0.9183, 0.3333333333333333, 3311], "tactic_family_distribution": {"constructor": 1, "discharge": 2}}
|
||||
{"name": "apply_chain", "status": "verified", "n_steps": 3, "n_states": 1, "spectral_gap": 3.0, "rank_estimate": 1, "density": 3.0, "feature_vector": [3, 1, 3.0, 3.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.3333333333333333, 3548], "tactic_family_distribution": {"discharge": 3}}
|
||||
{"name": "omega_chain_ineq", "status": "verified", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 1.0, 1082], "tactic_family_distribution": {"arithmetic": 1}}
|
||||
{"name": "omega_reorder_sum", "status": "verified", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 1.0, 1056], "tactic_family_distribution": {"arithmetic": 1}}
|
||||
{"name": "omega_distrib", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1071], "tactic_family_distribution": {"arithmetic": 1}}
|
||||
{"name": "omega_chain_unsat", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1141], "tactic_family_distribution": {"arithmetic": 1}}
|
||||
{"name": "induct_add_zero", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1042], "tactic_family_distribution": {"normalization": 1}}
|
||||
{"name": "induct_add_succ", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1076], "tactic_family_distribution": {"normalization": 1}}
|
||||
{"name": "induct_mul_zero", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1076], "tactic_family_distribution": {"normalization": 1}}
|
||||
{"name": "induct_factorial", "status": "verified", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 1.0, 1061], "tactic_family_distribution": {"normalization": 1}}
|
||||
{"name": "intro_all", "status": "verified", "n_steps": 4, "n_states": 1, "spectral_gap": 4.0, "rank_estimate": 1, "density": 4.0, "feature_vector": [4, 1, 4.0, 4.0, 0, 1, 0.0, 0.0, 0.0, 0.8113, 0.25, 4316], "tactic_family_distribution": {"introduction": 3, "discharge": 1}}
|
||||
{"name": "intro_apply", "status": "verified", "n_steps": 4, "n_states": 1, "spectral_gap": 4.0, "rank_estimate": 1, "density": 4.0, "feature_vector": [4, 1, 4.0, 4.0, 0, 1, 0.0, 0.0, 0.0, 1.0, 0.25, 4532], "tactic_family_distribution": {"introduction": 2, "discharge": 2}}
|
||||
{"name": "have_chain", "status": "verified", "n_steps": 3, "n_states": 1, "spectral_gap": 3.0, "rank_estimate": 1, "density": 3.0, "feature_vector": [3, 1, 3.0, 3.0, 0, 1, 0.0, 0.0, 0.0, 0.9183, 0.3333333333333333, 3427], "tactic_family_distribution": {"lemma_introduction": 2, "discharge": 1}}
|
||||
{"name": "calc_chain", "status": "failed", "n_steps": 2, "n_states": 1, "spectral_gap": 2.0, "rank_estimate": 1, "density": 2.0, "feature_vector": [2, 1, 2.0, 2.0, 0, 1, 0.0, 0.0, 0.0, 1.0, 0.0, 2270], "tactic_family_distribution": {"algebraic": 1, "arithmetic": 1}}
|
||||
{"name": "fail_type_mismatch", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1170], "tactic_family_distribution": {"reflexivity": 1}}
|
||||
{"name": "fail_missing_lemma", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1198], "tactic_family_distribution": {"rewrite": 1}}
|
||||
{"name": "fail_unsat", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1112], "tactic_family_distribution": {"arithmetic": 1}}
|
||||
{"name": "fail_bad_coercion", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1108], "tactic_family_distribution": {"reflexivity": 1}}
|
||||
95
shared-data/proof_traces/canary_apply_chain.decomp.json
Normal file
95
shared-data/proof_traces/canary_apply_chain.decomp.json
Normal file
|
|
@ -0,0 +1,95 @@
|
|||
{
|
||||
"trace_summary": {
|
||||
"theorem_name": "apply_chain",
|
||||
"status": "verified",
|
||||
"n_steps": 3,
|
||||
"n_unique_goal_states": 1,
|
||||
"n_flexure_joints": 3
|
||||
},
|
||||
"spectral": {
|
||||
"n_states": 1,
|
||||
"eigenvalue_max": 3.0,
|
||||
"spectral_gap": 3.0,
|
||||
"laplacian_eigenvalue_max": 3.0,
|
||||
"rank_estimate": 1,
|
||||
"zero_rows": 0,
|
||||
"frobenius_norm": 3.0,
|
||||
"trace": 3,
|
||||
"density": 3.0
|
||||
},
|
||||
"feature_vector": [
|
||||
3,
|
||||
1,
|
||||
3.0,
|
||||
3.0,
|
||||
0,
|
||||
1,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
-0.0,
|
||||
0.3333333333333333,
|
||||
3548
|
||||
],
|
||||
"feature_names": [
|
||||
"n_steps",
|
||||
"n_unique_goal_states",
|
||||
"transition_density",
|
||||
"spectral_gap",
|
||||
"laplacian_zero_count",
|
||||
"rank_estimate",
|
||||
"avg_delta_goal_count",
|
||||
"avg_delta_hypothesis",
|
||||
"avg_delta_symbol",
|
||||
"tactic_family_entropy",
|
||||
"verified_ratio",
|
||||
"total_elapsed"
|
||||
],
|
||||
"tactic_family_distribution": {
|
||||
"discharge": 3
|
||||
},
|
||||
"delta_stats": {
|
||||
"avg_goal_delta": 0.0,
|
||||
"avg_hypothesis_delta": 0.0,
|
||||
"avg_symbol_delta": 0.0,
|
||||
"max_delta_score": 0
|
||||
},
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "apply h2",
|
||||
"tactic_family": "discharge",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"tactic": "apply h1",
|
||||
"tactic_family": "discharge",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"tactic": "exact hA",
|
||||
"tactic_family": "discharge",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "success"
|
||||
}
|
||||
]
|
||||
}
|
||||
122
shared-data/proof_traces/canary_apply_chain.trace.json
Normal file
122
shared-data/proof_traces/canary_apply_chain.trace.json
Normal file
|
|
@ -0,0 +1,122 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
|
||||
"receipt_hash": "ea1cebff0a2f62a9dc7d1cc85661f9c790c7ae51895a98436d7811135006f54f",
|
||||
"theorem_name": "apply_chain",
|
||||
"status": "verified",
|
||||
"tactic_count": 3,
|
||||
"total_elapsed_ms": 3548,
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"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": 1263,
|
||||
"result": "failure",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"tactic": "apply h1",
|
||||
"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": 1199,
|
||||
"result": "failure",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"tactic": "exact hA",
|
||||
"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": 1086,
|
||||
"result": "success",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
}
|
||||
],
|
||||
"goal_transition_matrix": [
|
||||
[
|
||||
3
|
||||
]
|
||||
],
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "apply h2",
|
||||
"tactic_family": "discharge",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"tactic": "apply h1",
|
||||
"tactic_family": "discharge",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"tactic": "exact hA",
|
||||
"tactic_family": "discharge",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "success"
|
||||
}
|
||||
]
|
||||
}
|
||||
84
shared-data/proof_traces/canary_calc_chain.decomp.json
Normal file
84
shared-data/proof_traces/canary_calc_chain.decomp.json
Normal file
|
|
@ -0,0 +1,84 @@
|
|||
{
|
||||
"trace_summary": {
|
||||
"theorem_name": "calc_chain",
|
||||
"status": "failed",
|
||||
"n_steps": 2,
|
||||
"n_unique_goal_states": 1,
|
||||
"n_flexure_joints": 2
|
||||
},
|
||||
"spectral": {
|
||||
"n_states": 1,
|
||||
"eigenvalue_max": 2.0,
|
||||
"spectral_gap": 2.0,
|
||||
"laplacian_eigenvalue_max": 2.0,
|
||||
"rank_estimate": 1,
|
||||
"zero_rows": 0,
|
||||
"frobenius_norm": 2.0,
|
||||
"trace": 2,
|
||||
"density": 2.0
|
||||
},
|
||||
"feature_vector": [
|
||||
2,
|
||||
1,
|
||||
2.0,
|
||||
2.0,
|
||||
0,
|
||||
1,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
1.0,
|
||||
0.0,
|
||||
2270
|
||||
],
|
||||
"feature_names": [
|
||||
"n_steps",
|
||||
"n_unique_goal_states",
|
||||
"transition_density",
|
||||
"spectral_gap",
|
||||
"laplacian_zero_count",
|
||||
"rank_estimate",
|
||||
"avg_delta_goal_count",
|
||||
"avg_delta_hypothesis",
|
||||
"avg_delta_symbol",
|
||||
"tactic_family_entropy",
|
||||
"verified_ratio",
|
||||
"total_elapsed"
|
||||
],
|
||||
"tactic_family_distribution": {
|
||||
"algebraic": 1,
|
||||
"arithmetic": 1
|
||||
},
|
||||
"delta_stats": {
|
||||
"avg_goal_delta": 0.0,
|
||||
"avg_hypothesis_delta": 0.0,
|
||||
"avg_symbol_delta": 0.0,
|
||||
"max_delta_score": 0
|
||||
},
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "ring",
|
||||
"tactic_family": "algebraic",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"tactic": "omega",
|
||||
"tactic_family": "arithmetic",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
87
shared-data/proof_traces/canary_calc_chain.trace.json
Normal file
87
shared-data/proof_traces/canary_calc_chain.trace.json
Normal file
|
|
@ -0,0 +1,87 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
|
||||
"receipt_hash": "ffc91916d335aac079945c103d27ef03412d0a551b8c8b7e11d5195fe925c39b",
|
||||
"theorem_name": "calc_chain",
|
||||
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|
||||
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|
||||
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|
||||
"steps": [
|
||||
{
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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|
||||
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||||
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|
||||
"result": "failure",
|
||||
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|
||||
"stderr_preview": ""
|
||||
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|
||||
{
|
||||
"step": 1,
|
||||
"tactic": "omega",
|
||||
"before_goal_hash": "01ba4719c80b6fe911b091a7c05124b64eeece964e09c058ef8f9805daca546b",
|
||||
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|
||||
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||||
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||||
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||||
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||||
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|
||||
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||||
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|
||||
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||||
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|
||||
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||||
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|
||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
"goal_transition_matrix": [
|
||||
[
|
||||
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|
||||
]
|
||||
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|
||||
"flexure_joints": [
|
||||
{
|
||||
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|
||||
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|
||||
"tactic_family": "algebraic",
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||||
"delta_score": 0,
|
||||
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|
||||
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|
||||
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||||
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|
||||
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|
||||
"result": "failure"
|
||||
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||||
{
|
||||
"step": 1,
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||||
"tactic": "omega",
|
||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
97
shared-data/proof_traces/canary_cases_and_elim.decomp.json
Normal file
97
shared-data/proof_traces/canary_cases_and_elim.decomp.json
Normal file
|
|
@ -0,0 +1,97 @@
|
|||
{
|
||||
"trace_summary": {
|
||||
"theorem_name": "cases_and_elim",
|
||||
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|
||||
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|
||||
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|
||||
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|
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|
||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
"feature_vector": [
|
||||
3,
|
||||
1,
|
||||
3.0,
|
||||
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||||
0,
|
||||
1,
|
||||
0.0,
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||||
0.0,
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||||
0.0,
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||||
1.585,
|
||||
0.3333333333333333,
|
||||
3345
|
||||
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|
||||
"feature_names": [
|
||||
"n_steps",
|
||||
"n_unique_goal_states",
|
||||
"transition_density",
|
||||
"spectral_gap",
|
||||
"laplacian_zero_count",
|
||||
"rank_estimate",
|
||||
"avg_delta_goal_count",
|
||||
"avg_delta_hypothesis",
|
||||
"avg_delta_symbol",
|
||||
"tactic_family_entropy",
|
||||
"verified_ratio",
|
||||
"total_elapsed"
|
||||
],
|
||||
"tactic_family_distribution": {
|
||||
"case_analysis": 1,
|
||||
"discharge": 1,
|
||||
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|
||||
},
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|
||||
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|
||||
},
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|
||||
{
|
||||
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||||
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||||
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|
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},
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"result": "failure"
|
||||
},
|
||||
{
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"step": 1,
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||||
"tactic": "apply h2",
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||||
"tactic_family": "discharge",
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||||
"delta_score": 0,
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||||
"delta": {
|
||||
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|
||||
"hypothesis_delta": 0,
|
||||
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|
||||
},
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"result": "failure"
|
||||
},
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||||
{
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"step": 2,
|
||||
"tactic": "assumption",
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||||
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||||
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"delta": {
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|
||||
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||||
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|
||||
},
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||||
"result": "success"
|
||||
}
|
||||
]
|
||||
}
|
||||
122
shared-data/proof_traces/canary_cases_and_elim.trace.json
Normal file
122
shared-data/proof_traces/canary_cases_and_elim.trace.json
Normal file
|
|
@ -0,0 +1,122 @@
|
|||
{
|
||||
"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",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
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|
||||
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|
||||
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|
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|
||||
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|
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|
||||
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||||
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|
||||
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||||
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|
||||
"result": "failure",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"tactic": "apply h2",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
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|
||||
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|
||||
"result": "failure",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"tactic": "assumption",
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
||||
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|
||||
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||||
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|
||||
},
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||||
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|
||||
"result": "success",
|
||||
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|
||||
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|
||||
}
|
||||
],
|
||||
"goal_transition_matrix": [
|
||||
[
|
||||
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||||
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|
||||
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|
||||
"flexure_joints": [
|
||||
{
|
||||
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|
||||
"tactic": "cases h",
|
||||
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||||
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||||
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|
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|
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|
||||
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||||
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|
||||
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|
||||
{
|
||||
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|
||||
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|
||||
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||||
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|
||||
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||||
"result": "failure"
|
||||
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|
||||
{
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||||
"step": 2,
|
||||
"tactic": "assumption",
|
||||
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|
||||
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|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
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|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "success"
|
||||
}
|
||||
]
|
||||
}
|
||||
121
shared-data/proof_traces/canary_cases_or_swap.decomp.json
Normal file
121
shared-data/proof_traces/canary_cases_or_swap.decomp.json
Normal file
|
|
@ -0,0 +1,121 @@
|
|||
{
|
||||
"trace_summary": {
|
||||
"theorem_name": "cases_or_swap",
|
||||
"status": "failed",
|
||||
"n_steps": 5,
|
||||
"n_unique_goal_states": 1,
|
||||
"n_flexure_joints": 5
|
||||
},
|
||||
"spectral": {
|
||||
"n_states": 1,
|
||||
"eigenvalue_max": 5.0,
|
||||
"spectral_gap": 5.0,
|
||||
"laplacian_eigenvalue_max": 5.0,
|
||||
"rank_estimate": 1,
|
||||
"zero_rows": 0,
|
||||
"frobenius_norm": 5.0,
|
||||
"trace": 5,
|
||||
"density": 5.0
|
||||
},
|
||||
"feature_vector": [
|
||||
5,
|
||||
1,
|
||||
5.0,
|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
1.5219,
|
||||
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|
||||
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|
||||
],
|
||||
"feature_names": [
|
||||
"n_steps",
|
||||
"n_unique_goal_states",
|
||||
"transition_density",
|
||||
"spectral_gap",
|
||||
"laplacian_zero_count",
|
||||
"rank_estimate",
|
||||
"avg_delta_goal_count",
|
||||
"avg_delta_hypothesis",
|
||||
"avg_delta_symbol",
|
||||
"tactic_family_entropy",
|
||||
"verified_ratio",
|
||||
"total_elapsed"
|
||||
],
|
||||
"tactic_family_distribution": {
|
||||
"case_analysis": 1,
|
||||
"unknown": 2,
|
||||
"discharge": 2
|
||||
},
|
||||
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|
||||
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||||
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|
||||
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|
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|
||||
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"flexure_joints": [
|
||||
{
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||||
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||||
"tactic": "cases h",
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||||
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"result": "failure"
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||||
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||||
{
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||||
"step": 1,
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||||
"tactic": "\u00b7 right",
|
||||
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"result": "failure"
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||||
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||||
{
|
||||
"step": 2,
|
||||
"tactic": "exact h",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
"result": "failure"
|
||||
},
|
||||
{
|
||||
"step": 3,
|
||||
"tactic": "\u00b7 left",
|
||||
"tactic_family": "unknown",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
"result": "failure"
|
||||
},
|
||||
{
|
||||
"step": 4,
|
||||
"tactic": "exact h",
|
||||
"tactic_family": "discharge",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
192
shared-data/proof_traces/canary_cases_or_swap.trace.json
Normal file
192
shared-data/proof_traces/canary_cases_or_swap.trace.json
Normal file
|
|
@ -0,0 +1,192 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
|
||||
"receipt_hash": "a5d1516151f774e41626c35fdc80c48b283ebce812be3114261e2a0022ee7f34",
|
||||
"theorem_name": "cases_or_swap",
|
||||
"status": "failed",
|
||||
"tactic_count": 5,
|
||||
"total_elapsed_ms": 5552,
|
||||
"steps": [
|
||||
{
|
||||
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|
||||
"tactic": "cases h",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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||||
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|
||||
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|
||||
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|
||||
"result": "failure",
|
||||
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|
||||
"stderr_preview": ""
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"tactic": "\u00b7 right",
|
||||
"before_goal_hash": "01ba4719c80b6fe911b091a7c05124b64eeece964e09c058ef8f9805daca546b",
|
||||
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||||
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|
||||
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|
||||
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||||
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|
||||
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|
||||
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||||
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||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
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122
shared-data/proof_traces/canary_constructor_example.trace.json
Normal file
122
shared-data/proof_traces/canary_constructor_example.trace.json
Normal file
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@ -0,0 +1,122 @@
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52
shared-data/proof_traces/canary_fail_bad_coercion.trace.json
Normal file
52
shared-data/proof_traces/canary_fail_bad_coercion.trace.json
Normal file
|
|
@ -0,0 +1,52 @@
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"theorem_name": "fail_missing_lemma",
|
||||
"status": "failed",
|
||||
"n_steps": 1,
|
||||
"n_unique_goal_states": 1,
|
||||
"n_flexure_joints": 1
|
||||
},
|
||||
"spectral": {
|
||||
"n_states": 1,
|
||||
"eigenvalue_max": 1.0,
|
||||
"spectral_gap": 1.0,
|
||||
"laplacian_eigenvalue_max": 1.0,
|
||||
"rank_estimate": 1,
|
||||
"zero_rows": 0,
|
||||
"frobenius_norm": 1.0,
|
||||
"trace": 1,
|
||||
"density": 1.0
|
||||
},
|
||||
"feature_vector": [
|
||||
1,
|
||||
1,
|
||||
1.0,
|
||||
1.0,
|
||||
0,
|
||||
1,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
-0.0,
|
||||
0.0,
|
||||
1198
|
||||
],
|
||||
"feature_names": [
|
||||
"n_steps",
|
||||
"n_unique_goal_states",
|
||||
"transition_density",
|
||||
"spectral_gap",
|
||||
"laplacian_zero_count",
|
||||
"rank_estimate",
|
||||
"avg_delta_goal_count",
|
||||
"avg_delta_hypothesis",
|
||||
"avg_delta_symbol",
|
||||
"tactic_family_entropy",
|
||||
"verified_ratio",
|
||||
"total_elapsed"
|
||||
],
|
||||
"tactic_family_distribution": {
|
||||
"rewrite": 1
|
||||
},
|
||||
"delta_stats": {
|
||||
"avg_goal_delta": 0.0,
|
||||
"avg_hypothesis_delta": 0.0,
|
||||
"avg_symbol_delta": 0.0,
|
||||
"max_delta_score": 0
|
||||
},
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "rw [imaginary_lemma]",
|
||||
"tactic_family": "rewrite",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
|
|
@ -0,0 +1,52 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
|
||||
"receipt_hash": "695a8dc0a0b929b09b6f795eaebb82982558d7e6da2addd6d88472a26ed7bf0f",
|
||||
"theorem_name": "fail_missing_lemma",
|
||||
"status": "failed",
|
||||
"tactic_count": 1,
|
||||
"total_elapsed_ms": 1198,
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "rw [imaginary_lemma]",
|
||||
"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": 1198,
|
||||
"result": "failure",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
}
|
||||
],
|
||||
"goal_transition_matrix": [
|
||||
[
|
||||
1
|
||||
]
|
||||
],
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "rw [imaginary_lemma]",
|
||||
"tactic_family": "rewrite",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
|
|
@ -0,0 +1,71 @@
|
|||
{
|
||||
"trace_summary": {
|
||||
"theorem_name": "fail_type_mismatch",
|
||||
"status": "failed",
|
||||
"n_steps": 1,
|
||||
"n_unique_goal_states": 1,
|
||||
"n_flexure_joints": 1
|
||||
},
|
||||
"spectral": {
|
||||
"n_states": 1,
|
||||
"eigenvalue_max": 1.0,
|
||||
"spectral_gap": 1.0,
|
||||
"laplacian_eigenvalue_max": 1.0,
|
||||
"rank_estimate": 1,
|
||||
"zero_rows": 0,
|
||||
"frobenius_norm": 1.0,
|
||||
"trace": 1,
|
||||
"density": 1.0
|
||||
},
|
||||
"feature_vector": [
|
||||
1,
|
||||
1,
|
||||
1.0,
|
||||
1.0,
|
||||
0,
|
||||
1,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
-0.0,
|
||||
0.0,
|
||||
1170
|
||||
],
|
||||
"feature_names": [
|
||||
"n_steps",
|
||||
"n_unique_goal_states",
|
||||
"transition_density",
|
||||
"spectral_gap",
|
||||
"laplacian_zero_count",
|
||||
"rank_estimate",
|
||||
"avg_delta_goal_count",
|
||||
"avg_delta_hypothesis",
|
||||
"avg_delta_symbol",
|
||||
"tactic_family_entropy",
|
||||
"verified_ratio",
|
||||
"total_elapsed"
|
||||
],
|
||||
"tactic_family_distribution": {
|
||||
"reflexivity": 1
|
||||
},
|
||||
"delta_stats": {
|
||||
"avg_goal_delta": 0.0,
|
||||
"avg_hypothesis_delta": 0.0,
|
||||
"avg_symbol_delta": 0.0,
|
||||
"max_delta_score": 0
|
||||
},
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "rfl",
|
||||
"tactic_family": "reflexivity",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
|
|
@ -0,0 +1,52 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
|
||||
"receipt_hash": "0f481ab618a4e39cd28480436a43bf0dcf541fa62801d3e58588d66f355f54c6",
|
||||
"theorem_name": "fail_type_mismatch",
|
||||
"status": "failed",
|
||||
"tactic_count": 1,
|
||||
"total_elapsed_ms": 1170,
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "rfl",
|
||||
"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": 1170,
|
||||
"result": "failure",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
}
|
||||
],
|
||||
"goal_transition_matrix": [
|
||||
[
|
||||
1
|
||||
]
|
||||
],
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "rfl",
|
||||
"tactic_family": "reflexivity",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
71
shared-data/proof_traces/canary_fail_unsat.decomp.json
Normal file
71
shared-data/proof_traces/canary_fail_unsat.decomp.json
Normal file
|
|
@ -0,0 +1,71 @@
|
|||
{
|
||||
"trace_summary": {
|
||||
"theorem_name": "fail_unsat",
|
||||
"status": "failed",
|
||||
"n_steps": 1,
|
||||
"n_unique_goal_states": 1,
|
||||
"n_flexure_joints": 1
|
||||
},
|
||||
"spectral": {
|
||||
"n_states": 1,
|
||||
"eigenvalue_max": 1.0,
|
||||
"spectral_gap": 1.0,
|
||||
"laplacian_eigenvalue_max": 1.0,
|
||||
"rank_estimate": 1,
|
||||
"zero_rows": 0,
|
||||
"frobenius_norm": 1.0,
|
||||
"trace": 1,
|
||||
"density": 1.0
|
||||
},
|
||||
"feature_vector": [
|
||||
1,
|
||||
1,
|
||||
1.0,
|
||||
1.0,
|
||||
0,
|
||||
1,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
-0.0,
|
||||
0.0,
|
||||
1112
|
||||
],
|
||||
"feature_names": [
|
||||
"n_steps",
|
||||
"n_unique_goal_states",
|
||||
"transition_density",
|
||||
"spectral_gap",
|
||||
"laplacian_zero_count",
|
||||
"rank_estimate",
|
||||
"avg_delta_goal_count",
|
||||
"avg_delta_hypothesis",
|
||||
"avg_delta_symbol",
|
||||
"tactic_family_entropy",
|
||||
"verified_ratio",
|
||||
"total_elapsed"
|
||||
],
|
||||
"tactic_family_distribution": {
|
||||
"arithmetic": 1
|
||||
},
|
||||
"delta_stats": {
|
||||
"avg_goal_delta": 0.0,
|
||||
"avg_hypothesis_delta": 0.0,
|
||||
"avg_symbol_delta": 0.0,
|
||||
"max_delta_score": 0
|
||||
},
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "omega",
|
||||
"tactic_family": "arithmetic",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
52
shared-data/proof_traces/canary_fail_unsat.trace.json
Normal file
52
shared-data/proof_traces/canary_fail_unsat.trace.json
Normal file
|
|
@ -0,0 +1,52 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
|
||||
"receipt_hash": "ea07e0d3bd2e3d976b55b4cf94201957550a8733b53e3f84725d2d67b46d4cfc",
|
||||
"theorem_name": "fail_unsat",
|
||||
"status": "failed",
|
||||
"tactic_count": 1,
|
||||
"total_elapsed_ms": 1112,
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "omega",
|
||||
"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": 1112,
|
||||
"result": "failure",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
}
|
||||
],
|
||||
"goal_transition_matrix": [
|
||||
[
|
||||
1
|
||||
]
|
||||
],
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "omega",
|
||||
"tactic_family": "arithmetic",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
96
shared-data/proof_traces/canary_have_chain.decomp.json
Normal file
96
shared-data/proof_traces/canary_have_chain.decomp.json
Normal file
|
|
@ -0,0 +1,96 @@
|
|||
{
|
||||
"trace_summary": {
|
||||
"theorem_name": "have_chain",
|
||||
"status": "verified",
|
||||
"n_steps": 3,
|
||||
"n_unique_goal_states": 1,
|
||||
"n_flexure_joints": 3
|
||||
},
|
||||
"spectral": {
|
||||
"n_states": 1,
|
||||
"eigenvalue_max": 3.0,
|
||||
"spectral_gap": 3.0,
|
||||
"laplacian_eigenvalue_max": 3.0,
|
||||
"rank_estimate": 1,
|
||||
"zero_rows": 0,
|
||||
"frobenius_norm": 3.0,
|
||||
"trace": 3,
|
||||
"density": 3.0
|
||||
},
|
||||
"feature_vector": [
|
||||
3,
|
||||
1,
|
||||
3.0,
|
||||
3.0,
|
||||
0,
|
||||
1,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
0.9183,
|
||||
0.3333333333333333,
|
||||
3427
|
||||
],
|
||||
"feature_names": [
|
||||
"n_steps",
|
||||
"n_unique_goal_states",
|
||||
"transition_density",
|
||||
"spectral_gap",
|
||||
"laplacian_zero_count",
|
||||
"rank_estimate",
|
||||
"avg_delta_goal_count",
|
||||
"avg_delta_hypothesis",
|
||||
"avg_delta_symbol",
|
||||
"tactic_family_entropy",
|
||||
"verified_ratio",
|
||||
"total_elapsed"
|
||||
],
|
||||
"tactic_family_distribution": {
|
||||
"lemma_introduction": 2,
|
||||
"discharge": 1
|
||||
},
|
||||
"delta_stats": {
|
||||
"avg_goal_delta": 0.0,
|
||||
"avg_hypothesis_delta": 0.0,
|
||||
"avg_symbol_delta": 0.0,
|
||||
"max_delta_score": 0
|
||||
},
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "have hB : B := hAB hA",
|
||||
"tactic_family": "lemma_introduction",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"tactic": "have hC : C := hBC hB",
|
||||
"tactic_family": "lemma_introduction",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"tactic": "exact hC",
|
||||
"tactic_family": "discharge",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "success"
|
||||
}
|
||||
]
|
||||
}
|
||||
122
shared-data/proof_traces/canary_have_chain.trace.json
Normal file
122
shared-data/proof_traces/canary_have_chain.trace.json
Normal file
|
|
@ -0,0 +1,122 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
|
||||
"receipt_hash": "555b7633b2fe1f0fd58e666ef2d03da6f4f7ac5b6be0eefbe32dcf7af342eae3",
|
||||
"theorem_name": "have_chain",
|
||||
"status": "verified",
|
||||
"tactic_count": 3,
|
||||
"total_elapsed_ms": 3427,
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "have hB : B := hAB hA",
|
||||
"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": 1113,
|
||||
"result": "failure",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"tactic": "have hC : C := hBC hB",
|
||||
"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": 1214,
|
||||
"result": "failure",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"tactic": "exact hC",
|
||||
"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": 1100,
|
||||
"result": "success",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
}
|
||||
],
|
||||
"goal_transition_matrix": [
|
||||
[
|
||||
3
|
||||
]
|
||||
],
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "have hB : B := hAB hA",
|
||||
"tactic_family": "lemma_introduction",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"tactic": "have hC : C := hBC hB",
|
||||
"tactic_family": "lemma_introduction",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"tactic": "exact hC",
|
||||
"tactic_family": "discharge",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "success"
|
||||
}
|
||||
]
|
||||
}
|
||||
71
shared-data/proof_traces/canary_induct_add_succ.decomp.json
Normal file
71
shared-data/proof_traces/canary_induct_add_succ.decomp.json
Normal file
|
|
@ -0,0 +1,71 @@
|
|||
{
|
||||
"trace_summary": {
|
||||
"theorem_name": "induct_add_succ",
|
||||
"status": "failed",
|
||||
"n_steps": 1,
|
||||
"n_unique_goal_states": 1,
|
||||
"n_flexure_joints": 1
|
||||
},
|
||||
"spectral": {
|
||||
"n_states": 1,
|
||||
"eigenvalue_max": 1.0,
|
||||
"spectral_gap": 1.0,
|
||||
"laplacian_eigenvalue_max": 1.0,
|
||||
"rank_estimate": 1,
|
||||
"zero_rows": 0,
|
||||
"frobenius_norm": 1.0,
|
||||
"trace": 1,
|
||||
"density": 1.0
|
||||
},
|
||||
"feature_vector": [
|
||||
1,
|
||||
1,
|
||||
1.0,
|
||||
1.0,
|
||||
0,
|
||||
1,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
-0.0,
|
||||
0.0,
|
||||
1076
|
||||
],
|
||||
"feature_names": [
|
||||
"n_steps",
|
||||
"n_unique_goal_states",
|
||||
"transition_density",
|
||||
"spectral_gap",
|
||||
"laplacian_zero_count",
|
||||
"rank_estimate",
|
||||
"avg_delta_goal_count",
|
||||
"avg_delta_hypothesis",
|
||||
"avg_delta_symbol",
|
||||
"tactic_family_entropy",
|
||||
"verified_ratio",
|
||||
"total_elapsed"
|
||||
],
|
||||
"tactic_family_distribution": {
|
||||
"normalization": 1
|
||||
},
|
||||
"delta_stats": {
|
||||
"avg_goal_delta": 0.0,
|
||||
"avg_hypothesis_delta": 0.0,
|
||||
"avg_symbol_delta": 0.0,
|
||||
"max_delta_score": 0
|
||||
},
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "induction n with | zero => simp | succ k ih => simp [add_succ, ih]",
|
||||
"tactic_family": "normalization",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
52
shared-data/proof_traces/canary_induct_add_succ.trace.json
Normal file
52
shared-data/proof_traces/canary_induct_add_succ.trace.json
Normal file
|
|
@ -0,0 +1,52 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
|
||||
"receipt_hash": "198197fa574402142bbac958dc8944df994bd2c010f5b163adc6567ba7e849df",
|
||||
"theorem_name": "induct_add_succ",
|
||||
"status": "failed",
|
||||
"tactic_count": 1,
|
||||
"total_elapsed_ms": 1076,
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "induction n with | zero => simp | succ k ih => simp [add_succ, ih]",
|
||||
"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": 1076,
|
||||
"result": "failure",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
}
|
||||
],
|
||||
"goal_transition_matrix": [
|
||||
[
|
||||
1
|
||||
]
|
||||
],
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "induction n with | zero => simp | succ k ih => simp [add_succ, ih]",
|
||||
"tactic_family": "normalization",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
71
shared-data/proof_traces/canary_induct_add_zero.decomp.json
Normal file
71
shared-data/proof_traces/canary_induct_add_zero.decomp.json
Normal file
|
|
@ -0,0 +1,71 @@
|
|||
{
|
||||
"trace_summary": {
|
||||
"theorem_name": "induct_add_zero",
|
||||
"status": "failed",
|
||||
"n_steps": 1,
|
||||
"n_unique_goal_states": 1,
|
||||
"n_flexure_joints": 1
|
||||
},
|
||||
"spectral": {
|
||||
"n_states": 1,
|
||||
"eigenvalue_max": 1.0,
|
||||
"spectral_gap": 1.0,
|
||||
"laplacian_eigenvalue_max": 1.0,
|
||||
"rank_estimate": 1,
|
||||
"zero_rows": 0,
|
||||
"frobenius_norm": 1.0,
|
||||
"trace": 1,
|
||||
"density": 1.0
|
||||
},
|
||||
"feature_vector": [
|
||||
1,
|
||||
1,
|
||||
1.0,
|
||||
1.0,
|
||||
0,
|
||||
1,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
-0.0,
|
||||
0.0,
|
||||
1042
|
||||
],
|
||||
"feature_names": [
|
||||
"n_steps",
|
||||
"n_unique_goal_states",
|
||||
"transition_density",
|
||||
"spectral_gap",
|
||||
"laplacian_zero_count",
|
||||
"rank_estimate",
|
||||
"avg_delta_goal_count",
|
||||
"avg_delta_hypothesis",
|
||||
"avg_delta_symbol",
|
||||
"tactic_family_entropy",
|
||||
"verified_ratio",
|
||||
"total_elapsed"
|
||||
],
|
||||
"tactic_family_distribution": {
|
||||
"normalization": 1
|
||||
},
|
||||
"delta_stats": {
|
||||
"avg_goal_delta": 0.0,
|
||||
"avg_hypothesis_delta": 0.0,
|
||||
"avg_symbol_delta": 0.0,
|
||||
"max_delta_score": 0
|
||||
},
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "induction n with | zero => simp | succ n ih => simp [add_succ, ih]",
|
||||
"tactic_family": "normalization",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
52
shared-data/proof_traces/canary_induct_add_zero.trace.json
Normal file
52
shared-data/proof_traces/canary_induct_add_zero.trace.json
Normal file
|
|
@ -0,0 +1,52 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
|
||||
"receipt_hash": "58308f000c8cf3b7a19c12f46a40a8b8822f5f84a5860e100bf5d93bac55ad16",
|
||||
"theorem_name": "induct_add_zero",
|
||||
"status": "failed",
|
||||
"tactic_count": 1,
|
||||
"total_elapsed_ms": 1042,
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "induction n with | zero => simp | succ n ih => simp [add_succ, ih]",
|
||||
"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": 1042,
|
||||
"result": "failure",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
}
|
||||
],
|
||||
"goal_transition_matrix": [
|
||||
[
|
||||
1
|
||||
]
|
||||
],
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "induction n with | zero => simp | succ n ih => simp [add_succ, ih]",
|
||||
"tactic_family": "normalization",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
71
shared-data/proof_traces/canary_induct_factorial.decomp.json
Normal file
71
shared-data/proof_traces/canary_induct_factorial.decomp.json
Normal file
|
|
@ -0,0 +1,71 @@
|
|||
{
|
||||
"trace_summary": {
|
||||
"theorem_name": "induct_factorial",
|
||||
"status": "verified",
|
||||
"n_steps": 1,
|
||||
"n_unique_goal_states": 1,
|
||||
"n_flexure_joints": 1
|
||||
},
|
||||
"spectral": {
|
||||
"n_states": 1,
|
||||
"eigenvalue_max": 1.0,
|
||||
"spectral_gap": 1.0,
|
||||
"laplacian_eigenvalue_max": 1.0,
|
||||
"rank_estimate": 1,
|
||||
"zero_rows": 0,
|
||||
"frobenius_norm": 1.0,
|
||||
"trace": 1,
|
||||
"density": 1.0
|
||||
},
|
||||
"feature_vector": [
|
||||
1,
|
||||
1,
|
||||
1.0,
|
||||
1.0,
|
||||
0,
|
||||
1,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
-0.0,
|
||||
1.0,
|
||||
1061
|
||||
],
|
||||
"feature_names": [
|
||||
"n_steps",
|
||||
"n_unique_goal_states",
|
||||
"transition_density",
|
||||
"spectral_gap",
|
||||
"laplacian_zero_count",
|
||||
"rank_estimate",
|
||||
"avg_delta_goal_count",
|
||||
"avg_delta_hypothesis",
|
||||
"avg_delta_symbol",
|
||||
"tactic_family_entropy",
|
||||
"verified_ratio",
|
||||
"total_elapsed"
|
||||
],
|
||||
"tactic_family_distribution": {
|
||||
"normalization": 1
|
||||
},
|
||||
"delta_stats": {
|
||||
"avg_goal_delta": 0.0,
|
||||
"avg_hypothesis_delta": 0.0,
|
||||
"avg_symbol_delta": 0.0,
|
||||
"max_delta_score": 0
|
||||
},
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "simp [fac]",
|
||||
"tactic_family": "normalization",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "success"
|
||||
}
|
||||
]
|
||||
}
|
||||
52
shared-data/proof_traces/canary_induct_factorial.trace.json
Normal file
52
shared-data/proof_traces/canary_induct_factorial.trace.json
Normal file
|
|
@ -0,0 +1,52 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
|
||||
"receipt_hash": "16f00e21118bd73911fcb21b83283770989bdafebd84f2ab69243ffefb66fe66",
|
||||
"theorem_name": "induct_factorial",
|
||||
"status": "verified",
|
||||
"tactic_count": 1,
|
||||
"total_elapsed_ms": 1061,
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "simp [fac]",
|
||||
"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": 1061,
|
||||
"result": "success",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
}
|
||||
],
|
||||
"goal_transition_matrix": [
|
||||
[
|
||||
1
|
||||
]
|
||||
],
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "simp [fac]",
|
||||
"tactic_family": "normalization",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
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||||
71
shared-data/proof_traces/canary_induct_mul_zero.decomp.json
Normal file
71
shared-data/proof_traces/canary_induct_mul_zero.decomp.json
Normal file
|
|
@ -0,0 +1,71 @@
|
|||
{
|
||||
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|
||||
52
shared-data/proof_traces/canary_induct_mul_zero.trace.json
Normal file
52
shared-data/proof_traces/canary_induct_mul_zero.trace.json
Normal file
|
|
@ -0,0 +1,52 @@
|
|||
{
|
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||||
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||||
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||||
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|
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||||
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|
||||
108
shared-data/proof_traces/canary_intro_all.decomp.json
Normal file
108
shared-data/proof_traces/canary_intro_all.decomp.json
Normal file
|
|
@ -0,0 +1,108 @@
|
|||
{
|
||||
"trace_summary": {
|
||||
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||||
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||||
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|
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|
||||
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|
||||
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|
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
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|
||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
"tactic_family_entropy",
|
||||
"verified_ratio",
|
||||
"total_elapsed"
|
||||
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|
||||
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|
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||||
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|
||||
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||||
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||||
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|
||||
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||||
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||||
{
|
||||
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|
||||
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|
||||
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||||
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|
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||||
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|
||||
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||||
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||||
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||||
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|
||||
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|
||||
157
shared-data/proof_traces/canary_intro_all.trace.json
Normal file
157
shared-data/proof_traces/canary_intro_all.trace.json
Normal file
|
|
@ -0,0 +1,157 @@
|
|||
{
|
||||
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||||
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|
||||
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|
||||
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||||
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|
||||
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||||
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||||
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||||
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||||
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|
||||
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||||
{
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||||
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||||
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||||
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|
||||
"step": 2,
|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
{
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||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
}
|
||||
108
shared-data/proof_traces/canary_intro_apply.decomp.json
Normal file
108
shared-data/proof_traces/canary_intro_apply.decomp.json
Normal file
|
|
@ -0,0 +1,108 @@
|
|||
{
|
||||
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|
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|
||||
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||||
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||||
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|
||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
157
shared-data/proof_traces/canary_intro_apply.trace.json
Normal file
157
shared-data/proof_traces/canary_intro_apply.trace.json
Normal file
|
|
@ -0,0 +1,157 @@
|
|||
{
|
||||
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|
||||
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||||
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||||
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||||
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|
||||
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||||
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||||
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|
||||
71
shared-data/proof_traces/canary_omega_chain_ineq.decomp.json
Normal file
71
shared-data/proof_traces/canary_omega_chain_ineq.decomp.json
Normal file
|
|
@ -0,0 +1,71 @@
|
|||
{
|
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"trace_summary": {
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||||
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||||
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||||
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||||
52
shared-data/proof_traces/canary_omega_chain_ineq.trace.json
Normal file
52
shared-data/proof_traces/canary_omega_chain_ineq.trace.json
Normal file
|
|
@ -0,0 +1,52 @@
|
|||
{
|
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"trace_version": "proof-trace-v1",
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|
|
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{
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||||
52
shared-data/proof_traces/canary_omega_chain_unsat.trace.json
Normal file
52
shared-data/proof_traces/canary_omega_chain_unsat.trace.json
Normal file
|
|
@ -0,0 +1,52 @@
|
|||
{
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||||
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71
shared-data/proof_traces/canary_omega_distrib.decomp.json
Normal file
71
shared-data/proof_traces/canary_omega_distrib.decomp.json
Normal file
|
|
@ -0,0 +1,71 @@
|
|||
{
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||||
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||||
52
shared-data/proof_traces/canary_omega_distrib.trace.json
Normal file
52
shared-data/proof_traces/canary_omega_distrib.trace.json
Normal file
|
|
@ -0,0 +1,52 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
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"receipt_hash": "caa088677ed4572fe89029b07d4184a54d71729acd710ec218f8ff1083cd390d",
|
||||
"theorem_name": "omega_distrib",
|
||||
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|
||||
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||||
52
shared-data/proof_traces/canary_omega_reorder_sum.trace.json
Normal file
52
shared-data/proof_traces/canary_omega_reorder_sum.trace.json
Normal file
|
|
@ -0,0 +1,52 @@
|
|||
{
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||||
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||||
95
shared-data/proof_traces/canary_rw_chain_3step.decomp.json
Normal file
95
shared-data/proof_traces/canary_rw_chain_3step.decomp.json
Normal file
|
|
@ -0,0 +1,95 @@
|
|||
{
|
||||
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|
||||
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|
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||||
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||||
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||||
"transition_density",
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||||
"laplacian_zero_count",
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"rank_estimate",
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||||
"avg_delta_goal_count",
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||||
"avg_delta_hypothesis",
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||||
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|
||||
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|
||||
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||||
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|
||||
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|
||||
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||||
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||||
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||||
}
|
||||
122
shared-data/proof_traces/canary_rw_chain_3step.trace.json
Normal file
122
shared-data/proof_traces/canary_rw_chain_3step.trace.json
Normal file
|
|
@ -0,0 +1,122 @@
|
|||
{
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||||
"trace_version": "proof-trace-v1",
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||||
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||||
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||||
83
shared-data/proof_traces/canary_rw_chain_eq.decomp.json
Normal file
83
shared-data/proof_traces/canary_rw_chain_eq.decomp.json
Normal file
|
|
@ -0,0 +1,83 @@
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|||
{
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
{
|
||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
87
shared-data/proof_traces/canary_rw_chain_eq.trace.json
Normal file
87
shared-data/proof_traces/canary_rw_chain_eq.trace.json
Normal file
|
|
@ -0,0 +1,87 @@
|
|||
{
|
||||
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|
||||
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|
||||
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|
||||
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|
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|
||||
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|
||||
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|
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|
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||||
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|
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|
||||
84
shared-data/proof_traces/canary_rw_chain_mixed.decomp.json
Normal file
84
shared-data/proof_traces/canary_rw_chain_mixed.decomp.json
Normal file
|
|
@ -0,0 +1,84 @@
|
|||
{
|
||||
"trace_summary": {
|
||||
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||||
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||||
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||||
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|
||||
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||||
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||||
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||||
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|
||||
"laplacian_zero_count",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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}
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||||
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|
||||
}
|
||||
87
shared-data/proof_traces/canary_rw_chain_mixed.trace.json
Normal file
87
shared-data/proof_traces/canary_rw_chain_mixed.trace.json
Normal file
|
|
@ -0,0 +1,87 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
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||||
"theorem_name": "rw_chain_mixed",
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||||
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||||
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||||
84
shared-data/proof_traces/canary_rw_then_omega.decomp.json
Normal file
84
shared-data/proof_traces/canary_rw_then_omega.decomp.json
Normal file
|
|
@ -0,0 +1,84 @@
|
|||
{
|
||||
"trace_summary": {
|
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||||
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||||
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|
||||
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||||
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|
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||||
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|
||||
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||||
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|
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||||
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|
||||
87
shared-data/proof_traces/canary_rw_then_omega.trace.json
Normal file
87
shared-data/proof_traces/canary_rw_then_omega.trace.json
Normal file
|
|
@ -0,0 +1,87 @@
|
|||
{
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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||||
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||||
}
|
||||
87
shared-data/proof_traces/canary_simp_chain_simple.trace.json
Normal file
87
shared-data/proof_traces/canary_simp_chain_simple.trace.json
Normal file
|
|
@ -0,0 +1,87 @@
|
|||
{
|
||||
"trace_version": "proof-trace-v1",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
"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": 1163,
|
||||
"result": "success",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"tactic": "rfl",
|
||||
"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": 1064,
|
||||
"result": "failure",
|
||||
"stdout_preview": "",
|
||||
"stderr_preview": ""
|
||||
}
|
||||
],
|
||||
"goal_transition_matrix": [
|
||||
[
|
||||
2
|
||||
]
|
||||
],
|
||||
"flexure_joints": [
|
||||
{
|
||||
"step": 0,
|
||||
"tactic": "simp",
|
||||
"tactic_family": "normalization",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "success"
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"tactic": "rfl",
|
||||
"tactic_family": "reflexivity",
|
||||
"delta_score": 0,
|
||||
"delta": {
|
||||
"symbol_delta": 0,
|
||||
"hypothesis_delta": 0,
|
||||
"goal_count_delta": 0
|
||||
},
|
||||
"result": "failure"
|
||||
}
|
||||
]
|
||||
}
|
||||
Loading…
Add table
Reference in a new issue