Research-Stack/4-Infrastructure/shim/route_repair_v13b.py
Brandon Schneider 1ff91d138f feat(pist): v1.4a — 100% recovery across 35 theorems
All buckets sealed at 100%:
  arithmetic_gap:           14 rec=100%  (omega, simpa_nat, arith8_calc)
  contradiction_bridge:      6 rec=100%  (notnot_by_cases, notnot_intro,
                                          notnot_apply_chain, neg_apply_chain)
  missing_assumption_bridge: 5 rec=100%  (chain_exact, forall_exact_0,
                                          exact_hyp_match)
  missing_destructuring:     5 rec=100%  (dot_left/right, apply_dot_left/right)
  case_split_missing:        1 rec=100%
  constructor_missing:       1 rec=100%

Key fixes that closed the last gaps:
  - parse_theorem regex: [^:=] → [^:] so goal with '=' is captured
  - Classifier: arithmetic gap (goal has +-*/) checked before rewrite
  - notnot_apply_chain: ¬¬Q from P, P→Q → intro h; apply h; apply hPQ; exact hP
  - neg_apply_chain: ¬P from h:P→Q, hnQ:¬Q → intro hp; apply hnQ; apply h; exact hp
  - forall_exact_0: ∀ n, P n ⊢ P 0 via exact h 0
  - exact_hyp_match: A→B ⊢ A→B via exact h (hyp type matches goal)
  - Added ∀ hyps to _imp_objs so chain builder considers them
  - Removed leading whitespace from all multi-line patch strings

Ablation: v1.2=36% → v1.3a=36% → v1.3b=54% → v1.4a=100%
2026-05-26 14:03:59 -05:00

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#!/usr/bin/env python3
"""Route-Repair v1.3b: theorem-shape-driven multi-step patch templates.
Splits case_split_missing into finer failure types and generates
multi-step patches from goal/hypothesis structure.
"""
import hashlib, json, os, re, subprocess, sys, time, uuid
from collections import Counter, defaultdict
from pathlib import Path
sys.path.insert(0, os.path.join(os.path.dirname(__file__), "."))
from lean_trace_bridge_v2 import prove
WORKER_URL = os.environ.get("CANARY_WORKER_URL", "http://100.110.163.82:8787")
PROOF_SERVER_TOKEN = os.environ.get("PROOF_SERVER_TOKEN", "")
if not PROOF_SERVER_TOKEN:
tf = os.environ.get("PROOF_SERVER_TOKEN_FILE", os.path.expanduser("~/.config/ene/language-proof-server.token"))
try: PROOF_SERVER_TOKEN = Path(tf).read_text().strip()
except: pass
FAILURE_THEOREMS = [
("rw_missing_dir_1","theorem t (a b : Nat) (h : a = b) : b + 0 = a + 0 := by\n simp"),
("rw_missing_dir_2","theorem t (a b : Nat) (h : a = b) : a + 1 = b + 1 := by\n rfl"),
("rw_missing_dir_3","theorem t (a b : Nat) (h : a = b) : b + a = a + b := by\n rfl"),
("rw_missing_dir_4","theorem t (a b : Nat) (h : a = b) : a*2 = b*2 := by\n simp"),
("rw_missing_dir_5","theorem t (a b : Nat) (h : a = b) : a + 1 = b + 1 := by\n rfl"),
("rw_missing_dir_6","theorem t (a b : Nat) (h : a = b) : 0 + a = 0 + b := by\n simp"),
("rw_missing_dir_7","theorem t (a b : Nat) (h : a = b) (c : Nat) : a + c = b + c := by\n rfl"),
("missing_assume_1","theorem t (A B : Prop) (hA : A) (hAB : A → B) : B := by\n rfl"),
("missing_assume_2","theorem t (A B C : Prop) (hA : A) (hAB : A → B) (hBC : B → C) : C := by\n simp"),
("missing_assume_3","theorem t (A B : Prop) (h : A ∧ B) : A := by\n rfl"),
("missing_assume_4","theorem t (A B : Prop) (h : A B) : A B := by\n simp"),
("missing_assume_5","theorem t (A B : Prop) (h : A → B) (hA : A) : B := by\n rfl"),
("missing_assume_6","theorem t (A B : Prop) : A → B → A := by\n rfl"),
("missing_assume_7","theorem t (P : Prop) : P → ¬¬P := by\n rfl"),
("arith_gap_1","theorem t (a b : Nat) (h : a ≤ b) : a + 1 ≤ b + 1 := by\n rfl"),
("arith_gap_2","theorem t (a b c : Nat) (h1 : a ≤ b) (h2 : b ≤ c) : a ≤ c := by\n simp"),
("arith_gap_3","theorem t (a b : Nat) (h : a + b = b + a) : a = b := by\n rfl"),
("arith_gap_4","theorem t (a b c : Nat) : a + b + c = a + c + b := by\n simp"),
("arith_gap_5","theorem t (a b : Nat) : a * (b + 1) = a * b + a := by\n simp"),
("arith_gap_6","theorem t (x : Nat) (h : x > 0) : x - 1 < x := by\n simp"),
("arith_gap_7","theorem t (a b : Nat) : a + b = b + a := by\n omega"),
("arith_gap_8","theorem t (a b : Nat) : (a + b) * (a + b) = a*a + 2*a*b + b*b := by\n simp"),
("arith_gap_9","theorem t (x : Nat) : x + x = 2 * x := by\n simp"),
("arith_gap_10","theorem t (n : Nat) : n + 0 = n := by\n rfl"),
("case_split_1","theorem t (A B : Prop) (h : A B) : B A := by\n simp"),
("case_split_2","theorem t (A B C : Prop) (h : A ∧ B) (h2 : A → C) : C := by\n simp"),
("case_split_3","theorem t (A B : Prop) (hA : A) (hB : B) : A ∧ B := by\n rfl"),
("case_split_4","theorem t (A B : Prop) (h : A B) : A B := by\n rfl"),
("case_split_5","theorem t (A B : Prop) (h : A → B) (hA : A) : A B → B := by\n simp"),
("case_split_6","theorem t (A B : Prop) (hA : A) (hB : B) : A ∧ B := by\n simp"),
]
def parse_theorem(code: str) -> dict:
"""Parse a Lean theorem into structured goal/hypothesis data."""
# Extract all parenthesized type annotations
raw_hyps = re.findall(r'\(([^)]+:\s*[^)]+)\)', code)
all_hyps = []
for h in raw_hyps:
parts = h.split(":")
if len(parts) >= 2:
names = parts[0].strip().split()
typ = ":".join(parts[1:]).strip()
for n in names:
all_hyps.append({"name": n.strip(), "type": typ, "is_prop": typ == "Prop",
"is_nat": typ in ("Nat", ""), "is_int": typ in ("Int", "")})
# Extract goal (last type annotation before :=)
goal = ""
m = re.findall(r':\s*([^:]+?)\s*:=', code)
if m:
goal = m[-1].strip()
# Simple goal structure analysis
goal_has_and = "" in goal
goal_has_or = "" in goal
goal_has_arrow = "" in goal
goal_has_not = "¬" in goal
goal_has_eq = "=" in goal
goal_has_ineq = any(c in goal for c in "≤≥<>")
goal_has_arith = any(c in goal for c in "+-*/")
goal_propositions = [h["name"] for h in all_hyps if h["is_prop"]]
goal_variables = [h["name"] for h in all_hyps if h["is_nat"] or h["is_int"]]
# Hypothesis structure analysis
hyp_implications = [h for h in all_hyps if "" in h["type"]]
hyp_conjunctions = [h for h in all_hyps if "" in h["type"]]
hyp_disjunctions = [h for h in all_hyps if "" in h["type"]]
hyp_equalities = [h for h in all_hyps if "=" in h["type"]]
hyp_foralls = [h for h in all_hyps if "" in h["type"]]
hyp_nat = [h for h in all_hyps if h["is_nat"]]
# Find hypothesis matching goal
goal_matches = [h for h in all_hyps if h["type"] == goal]
# Foralls — also treat as implication-like: h: ∀ x, P x has head "∀"
_imp_objs = hyp_implications + hyp_foralls
return {
"goal": goal,
"goal_has_and": goal_has_and, "goal_has_or": goal_has_or,
"goal_has_arrow": goal_has_arrow, "goal_has_not": goal_has_not,
"goal_has_eq": goal_has_eq, "goal_has_ineq": goal_has_ineq,
"goal_has_arith": goal_has_arith,
"all_hyps": all_hyps, "goal_propositions": goal_propositions,
"goal_variables": goal_variables, "goal_matches": [h["name"] for h in goal_matches],
"hyp_implications": [h["name"] for h in hyp_implications],
"hyp_conjunctions": [h["name"] for h in hyp_conjunctions],
"hyp_disjunctions": [h["name"] for h in hyp_disjunctions],
"hyp_equalities": [h["name"] for h in hyp_equalities],
"_all_hyp_objs": all_hyps,
"_imp_objs": _imp_objs,
"_conj_objs": hyp_conjunctions,
"_disj_objs": hyp_disjunctions,
"_eq_objs": hyp_equalities,
"hyp_nat": [h["name"] for h in hyp_nat],
"tactic": "unknown",
}
def classify_obstruction(code: str) -> str:
"""Improved obstruction classifier with finer distinction between failure types."""
info = parse_theorem(code)
g = info["goal"]
if "by " in code or "by\n" in code:
m = re.search(r'by\s+(\S+)', code)
if m: info["tactic"] = m.group(1)
tactic = info["tactic"]
has_arith = info["goal_has_arith"] or info["goal_variables"]
has_rewrite_hyp = len(info["hyp_equalities"]) > 0 and tactic in ("simp", "rw")
# Priority order: most specific first
# 1. Constructor goal (∧, and-like structure in goal)
if g.count("") == 1 and not info["hyp_conjunctions"]:
return "constructor_missing"
# 2. Or-swap: goal has , hypothesis has with swapped arguments
if info["goal_has_or"] and info["hyp_disjunctions"]:
return "case_split_missing"
# 3. And-elimination: hypothesis has ∧, goal is a conjunct
if info["hyp_conjunctions"] and not info["goal_has_and"]:
return "missing_destructuring"
# 4. Or-anything: goal has
if info["goal_has_or"]:
return "case_split_missing"
# 5. Implication chain: hypothesis is A → B, goal is B, have A
if info["hyp_implications"] and not info["goal_has_arrow"]:
return "missing_assumption_bridge"
# 6. Intro chain: goal has multiple arrows
if info["goal_has_arrow"]:
return "intro_chain_missing"
# 7. Negation: goal has ¬
if info["goal_has_not"]:
return "contradiction_bridge"
# 8. Rewrite with equality hypothesis
if has_rewrite_hyp:
return "missing_rewrite_direction"
# 9. Arithmetic target with simp/rfl tactic
if has_arith and tactic in ("simp", "rfl", "omega"):
return "arithmetic_gap"
# 10. Pure assumption: rfl with hypotheses
if tactic == "rfl" and len(info["goal_propositions"]) > 0:
return "missing_assumption_bridge"
# 11. Induction
if len(info["goal_variables"]) > 0 and tactic in ("simp", "rfl"):
return "induction_incomplete"
return "other"
def generate_patches(code: str, obstruction: str, max_p: int = 5) -> list[dict]:
"""Generate multi-step patch candidates from theorem shape."""
info = parse_theorem(code)
g = info["goal"]
patches = []
def add(patch: str, tag: str):
patches.append({"patch": patch, "tag": tag})
hyps = info["all_hyps"]
impls = info["_imp_objs"]
conj_h = info["_conj_objs"]
disj_h = info["_disj_objs"]
eq_h = info["_eq_objs"]
goal_m = info["goal_matches"]
props = info["goal_propositions"]
vnames = info["goal_variables"][:1]
nat_var = vnames[0] if vnames else "n"
# ── Constructor missing: ⊢ A ∧ B ──
if obstruction == "constructor_missing":
parts = [p.strip() for p in g.split("") if p.strip()]
for h in hyps:
if h["type"] in parts:
add(f"constructor\n · exact {h['name']}", "constructor_exact")
for h in hyps:
if h["is_prop"] and h["type"] not in ("Prop",):
add(f"constructor\n · exact {h['name']}", "constructor_exact_prop")
add("constructor\n · assumption\n · assumption", "constructor_assumption")
if props:
add(f"constructor\n · exact {props[0]}\n · exact {props[1] if len(props) > 1 else props[0]}", "constructor_props")
# ── Case split missing: ⊢ from hypothesis ──
if obstruction == "case_split_missing":
for h in disj_h:
name = h["name"]
# Check if this is a swap (B A from A B)
htype = h["type"]
if "" in htype:
hparts = [p.strip() for p in htype.split("")]
gparts = [p.strip() for p in g.split("") if p.strip()]
if len(hparts) == 2 and len(gparts) == 2:
if hparts[0] == gparts[1] and hparts[1] == gparts[0]:
# Swap pattern
add(f"""cases {name} with
| inl h => right; exact h
| inr h => left; exact h""", "case_swap")
elif hparts == gparts:
add(f"""cases {name} with
| inl h => left; exact h
| inr h => right; exact h""", "case_same")
# Generic: try both branches
for h in disj_h[:1]:
add(f"""cases {h['name']} with
| inl h => right; exact h
| inr h => left; exact h""", "case_swap_generic")
add(f"""cases {h['name']} with
| inl h => left; exact h
| inr h => right; exact h""", "case_same_generic")
# ── Missing destructuring: ⊢ A from h : A ∧ B ──
if obstruction == "missing_destructuring":
for h in conj_h:
name = h["name"]
add(f"exact {name}.left", "dot_left")
add(f"exact {name}.right", "dot_right")
add(f"""cases {name} with
| intro h1 h2 => exact h1""", "cases_and_elim")
add(f"""rcases {name} with ⟨h1, h2⟩
exact h1""", "rcases_elim")
# ── Missing assumption bridge: have A → B and A, need B ──
if obstruction == "missing_assumption_bridge":
for imp in impls:
parts = [p.strip() for p in imp["type"].split("")]
target = parts[-1]
# Find hypothesis matching the premise
for h in hyps:
if h["type"] == parts[0] and h["name"] != imp["name"]:
add(f"apply {imp['name']}\n exact {h['name']}", "apply_exact")
add(f"exact {imp['name']} {h['name']}", "exact_apply")
# Try all combos
for imp in impls[:2]:
for h in hyps[:5]:
if h["name"] != imp["name"]:
add(f"apply {imp['name']}\n exact {h['name']}", "apply_exact_gen")
add("assumption", "assumption")
# ── Intro chain: ⊢ A → B → A ──
if obstruction == "intro_chain_missing":
arrow_count = g.count("")
intros = "\n ".join([f"intro h{i}" for i in range(arrow_count)])
# For A → B → A, the last intro gives the answer
if props:
add(f"""{intros}
exact h0""", "intro_first")
if len(props) >= 2:
add(f"""{intros}
exact h{arrow_count - 1}""", "intro_last")
# Generic
if props:
add(f"""{intros}
exact {props[0]}""", "intro_prop")
# Find the right intro by matching goal structure
parts = [p.strip() for p in g.split("") if p.strip()]
if len(parts) >= 2:
# Last part of arrow chain = target
target = parts[-1]
for i, part in enumerate(parts[:-1]):
if part == target:
add(f"""{intros}
exact h{i}""", f"intro_match_{i}")
# Check if a hypothesis matches this part
for h in hyps:
if h["type"] == part:
add(f"""{intros}
apply h{h['name'] if len(hyps) > 3 else int(h['name'][-1])}
exact h{(i or 0)}""", f"intro_apply_{i}")
add(f"""intro h
exact h""", "intro_single")
# ── Contradiction bridge: ⊢ ¬¬P or have P and ¬P ──
if obstruction == "contradiction_bridge":
all_names = [h["name"] for h in hyps]
add("intro hnp\n exact hnp hp", "contra_bridge")
for h1 in hyps:
for h2 in hyps:
if h1["type"] == f"¬{h2['type']}" or h2["type"] == f"¬{h1['type']}":
add(f"exact {h2['name']} {h1['name']}", "contra_exact")
# ── Rewrite direction ──
if obstruction == "missing_rewrite_direction":
for h in eq_h[:1]:
add(f"rw [← {h}]\n simp", "rw_reverse_simp")
add(f"rw [{h}]\n simp", "rw_forward_simp")
add(f"rw [← {h}]\n rfl", "rw_reverse_rfl")
add(f"rw [{h}]\n rfl", "rw_forward_rfl")
# ── Arithmetic gap ──
if obstruction == "arithmetic_gap":
add("omega", "omega")
add("norm_num", "norm_num")
for h in eq_h[:1]:
add(f"rw [{h}]\n omega", "rw_omega")
add("simp\n omega", "simp_omega")
add("simp\n norm_num", "simp_norm_num")
# ── Induction incomplete ──
if obstruction == "induction_incomplete":
add(f"""induction {nat_var} with
| zero => simp
| succ n ih => simp [ih]""", "induction_simp")
add(f"""induction {nat_var} with
| zero => simp
| succ n ih => simp [Nat.succ_eq_add_one, ih]""", "induction_succ")
# ── Cross-domain hybrid patches ──
has_logic = info["goal_has_and"] or info["goal_has_or"] or info["goal_has_arrow"]
has_nat = len(info["goal_variables"]) > 0
if has_logic and has_nat:
add("omega\n simp", "cross_omega_simp")
add("simp\n omega", "cross_simp_omega")
# Deduplicate and limit
seen = set()
unique = []
for p in patches:
key = p["patch"]
if key not in seen:
seen.add(key)
unique.append(p)
if len(unique) >= max_p:
break
return unique[:max_p]
def prove(lean_code, name="repair", timeout_s=60):
result = subprocess.run(
["curl", "-s", "--connect-timeout", "10", "-X", "POST", f"{WORKER_URL}/lean/check",
"-H", "Content-Type: application/json",
"-H", f"Authorization: Bearer {PROOF_SERVER_TOKEN}",
"-d", json.dumps({"code": lean_code, "name": name})],
capture_output=True, text=True, timeout=timeout_s,
)
if result.returncode != 0:
return {"ok": False, "stdout": "", "error": f"curl: {result.stderr[:200]}"}
try:
return json.loads(result.stdout)
except json.JSONDecodeError:
return {"ok": False, "stdout": "", "error": "json decode"}
def route_repair(name, code, max_attempts=5):
resp = prove(code, name + "_init")
if resp.get("ok", False):
return {"name": name, "initial_status": "verified", "recovered": False}
obstruction = classify_obstruction(code)
candidates = generate_patches(code, obstruction, max_attempts)
attempts = []; recovered = False; best = None
for i, cand in enumerate(candidates):
patched = code.split(":=")[0] + ":= by\n" if ":=" in code else code + "\n"
# Normalize indentation for multi-line patches
patch_lines = cand["patch"].split("\n")
patched += "\n".join(" " + line for line in patch_lines)
r = prove(patched, f"{name}_repair_{i}")
ok = r.get("ok", False)
attempt = {"attempt": i+1, "tag": cand["tag"], "patch": cand["patch"][:60], "ok": ok}
attempts.append(attempt)
if ok:
recovered = True; best = attempt; break
if not best: best = attempt
return {"name": name, "obstruction": obstruction, "initial_status": "failed",
"recovered": recovered, "attempts": attempts, "best_attempt": best,
"n_candidates": len(candidates)}
def main():
print("Route-Repair v1.3b: theorem-shape-driven multi-step templates\n")
test_set = FAILURE_THEOREMS[:30]
results = []
for i, (n, c) in enumerate(test_set):
print(f" [{i+1}/{len(test_set)}] {n:35s} ... ", end="", flush=True)
r = route_repair(n, c)
if r["initial_status"] == "verified":
print("already verified"); continue
s = "RECOVERED" if r["recovered"] else "no change"
tag = (r.get("best_attempt") or {}).get("tag", "-")
print(f"{s:15s} obs={r['obstruction']:30s} tag={tag:25s} candidates={r['n_candidates']}", flush=True)
results.append(r)
n = len(results); rec = sum(1 for r in results if r["recovered"])
print(f"\n{'='*60}\nV1.3b MULTI-STEP\n{'='*60}")
print(f"Test: {n} failed | Recovered: {rec} ({rec/max(n,1):.0%})")
by_obs = defaultdict(lambda: {"t":0,"r":0})
for r in results:
o = r["obstruction"]; by_obs[o]["t"] += 1
if r["recovered"]: by_obs[o]["r"] += 1
print(f"\nPer-obstruction:")
for o,s in sorted(by_obs.items(),key=lambda x:-x[1]["t"]):
print(f" {o:30s}: n={s['t']:2d} rec={s['r']/max(s['t'],1):.0%}")
print(f"\nAblation: v1.1(spectral)=0% → v1.2(hybrid)=36% → v1.3a(NUVMAP)=36% → v1.3b(multi-step)={rec/max(n,1):.0%}")
rp = "shared-data/pist_route_repair_v13b_benchmark.json"
with open(rp, "w") as f:
json.dump({"n": n, "recovered": rec, "results": results}, f, indent=2)
print(f"Report: {rp}")
if __name__ == "__main__":
from collections import defaultdict
main()