diff --git a/evals/gsm8k_math/confusers/v1/runner.py b/evals/gsm8k_math/confusers/v1/runner.py
index f8ebf91d..a728c992 100644
--- a/evals/gsm8k_math/confusers/v1/runner.py
+++ b/evals/gsm8k_math/confusers/v1/runner.py
@@ -22,21 +22,23 @@ from dataclasses import dataclass
 from pathlib import Path
 from typing import Final
 
-from generate.derivation.accumulate import compose_accumulation
-from generate.derivation.multistep import search_chain
-from generate.derivation.search import search_multiplicative
+from generate.derivation.pool import resolve_pooled
 
 _CASES_PATH: Final[Path] = Path(__file__).resolve().parent / "cases.jsonl"
 _TOL: Final[float] = 1e-6
 
 
 def _engine_answer(problem_text: str) -> float | None:
-    """The sealed engine's attempt: first composer to resolve wins (fixed order)."""
-    for composer in (compose_accumulation, search_multiplicative, search_chain):
-        resolution = composer(problem_text)
-        if resolution is not None:
-            return resolution.answer
-    return None
+    """The sealed engine's attempt (ADR-0182 cross-composer pooling).
+
+    Pools the ungated readings of every composer (accumulation, multiplicative,
+    chain) and resolves them together: a single ``complete`` answer commits;
+    disagreement among the pool — e.g. a distractor problem's blunt product vs its
+    competing additive reading — refuses. Replaces the prior first-composer-wins
+    order, which had no way to notice it held two incompatible readings.
+    """
+    resolution = resolve_pooled(problem_text)
+    return resolution.answer if resolution is not None else None
 
 
 @dataclass(frozen=True, slots=True)
diff --git a/generate/derivation/__init__.py b/generate/derivation/__init__.py
index caa5c86e..c8c3b580 100644
--- a/generate/derivation/__init__.py
+++ b/generate/derivation/__init__.py
@@ -12,7 +12,7 @@ from generate.derivation.clauses import (
     clause_local_results,
     segment_clauses,
 )
-from generate.derivation.accumulate import compose_accumulation
+from generate.derivation.accumulate import accumulation_candidates, compose_accumulation
 from generate.derivation.compose import compose_sequential
 from generate.derivation.comparatives import (
     ComparativeScalar,
@@ -21,12 +21,18 @@ from generate.derivation.comparatives import (
 )
 from generate.derivation.extract import extract_quantities
 from generate.derivation.model import GroundedDerivation, Quantity, Step, VALID_OPS
-from generate.derivation.multistep import search_chain
-from generate.derivation.search import MULTIPLICATIVE_CUES, search_multiplicative
+from generate.derivation.multistep import candidate_chains, search_chain
+from generate.derivation.pool import pooled_candidates, resolve_pooled
+from generate.derivation.search import (
+    MULTIPLICATIVE_CUES,
+    multiplicative_candidates,
+    search_multiplicative,
+)
 from generate.derivation.target import Target, extract_target
 from generate.derivation.verify import (
     Resolution,
     SelfVerification,
+    classify_derivation,
     select_self_verified,
     self_verifies,
 )
@@ -42,6 +48,9 @@ __all__ = [
     "Step",
     "Target",
     "VALID_OPS",
+    "accumulation_candidates",
+    "candidate_chains",
+    "classify_derivation",
     "clause_local_results",
     "compose_accumulation",
     "compose_sequential",
@@ -49,6 +58,9 @@ __all__ = [
     "extract_comparative_scalars",
     "extract_quantities",
     "extract_target",
+    "multiplicative_candidates",
+    "pooled_candidates",
+    "resolve_pooled",
     "search_chain",
     "search_multiplicative",
     "segment_clauses",
diff --git a/generate/derivation/accumulate.py b/generate/derivation/accumulate.py
index 5ee8c2a5..cc1d5fbb 100644
--- a/generate/derivation/accumulate.py
+++ b/generate/derivation/accumulate.py
@@ -127,8 +127,20 @@ def _cue(clause: str, polarity: int) -> str:
     return "gives"  # the only remaining licensed loss path (gives … to/away)
 
 
-def compose_accumulation(problem_text: str) -> Resolution | None:
-    """GB-3b.1 composer — single-referent gain/loss accumulation. Refuse-preferring."""
+def _build_accumulation(
+    problem_text: str, *, drop_isolated_foreign: bool
+) -> GroundedDerivation | None:
+    """Construct the single-referent accumulation chain (ungated).
+
+    ``drop_isolated_foreign`` (ADR-0182): when a change clause carries more than
+    one quantity, drop those with a **non-empty unit foreign to the anchor's unit**
+    (a candidate distractor — ``studies for 3 hours`` among ``pencils``) and proceed
+    if exactly one same-unit/unitless change remains. With the flag off this is the
+    strict GB-3b.1 reading (a multi-quantity change clause refuses), so
+    :func:`compose_accumulation` is byte-identical to its pre-ADR-0182 behavior.
+    The distractor-skip reading is **never committed alone** — it only ever enters
+    the pool to force a disagreement refusal (see :mod:`generate.derivation.pool`).
+    """
     clauses = segment_clauses(problem_text)
     quantity_clauses = [c for c in clauses if extract_quantities(c)]
     if len(quantity_clauses) < 2:
@@ -145,7 +157,11 @@ def compose_accumulation(problem_text: str) -> Resolution | None:
     for clause in change_clauses:
         if not _same_referent(clause, anchor_subject):
             return None  # new named actor -> referent hazard -> refuse
-        change_quantities = extract_quantities(clause)
+        change_quantities = list(extract_quantities(clause))
+        if drop_isolated_foreign and len(change_quantities) > 1:
+            change_quantities = [
+                q for q in change_quantities if not (q.unit and q.unit != start.unit)
+            ]
         if len(change_quantities) != 1:
             return None  # one change per clause (multi-change is GB-3b.2)
         polarity = _polarity(clause)
@@ -159,5 +175,31 @@ def compose_accumulation(problem_text: str) -> Resolution | None:
 
     if not steps:
         return None
-    derivation = GroundedDerivation(start=start, steps=tuple(steps))
+    return GroundedDerivation(start=start, steps=tuple(steps))
+
+
+def compose_accumulation(problem_text: str) -> Resolution | None:
+    """GB-3b.1 composer — single-referent gain/loss accumulation. Refuse-preferring.
+
+    The strict (commit) reading: it gates the no-distractor-skip derivation through
+    the unchanged self-verification gate. Behavior is byte-identical to pre-ADR-0182.
+    """
+    derivation = _build_accumulation(problem_text, drop_isolated_foreign=False)
+    if derivation is None:
+        return None
     return select_self_verified([derivation], problem_text, target_units=())
+
+
+def accumulation_candidates(problem_text: str) -> tuple[GroundedDerivation, ...]:
+    """ADR-0182 — the ungated accumulation readings for cross-composer pooling.
+
+    The strict reading and (when it differs) the distractor-skip reading. Ungated:
+    the pool classifies each (``complete`` commits, ``exempt`` refuses-only) and the
+    disagreement rule does the wrong=0 work. Deterministic; de-dup is the pool's job.
+    """
+    candidates: list[GroundedDerivation] = []
+    for drop in (False, True):
+        derivation = _build_accumulation(problem_text, drop_isolated_foreign=drop)
+        if derivation is not None:
+            candidates.append(derivation)
+    return tuple(candidates)
diff --git a/generate/derivation/pool.py b/generate/derivation/pool.py
new file mode 100644
index 00000000..b458aeb9
--- /dev/null
+++ b/generate/derivation/pool.py
@@ -0,0 +1,88 @@
+"""ADR-0182 — cross-composer disagreement pooling.
+
+The distractor-quantity confusers (``confuser-v1-0014`` → 300, ``0016`` → 3840)
+misfire because a blunt product-of-all is the *unique* self-verifying reading: the
+completeness clause forces the distractor into it, and no rival reading exists to
+trigger the wrong=0 disagreement rule. The microscope showed no tight cue/gate rule
+separates these from the legitimate cross-unit products (``for`` licenses both the
+0014 distractor and the correct ``train-0021`` product) — that is the deferred
+cue-precision problem (ADR-0177).
+
+This module sidesteps cue precision: it pools the **ungated candidate readings of
+every composer** (accumulation, in-clause multiplicative, target-guided chain) for
+one problem and resolves them together. A reading is classified
+(:func:`generate.derivation.verify.classify_derivation`) as ``complete``
+(commit-eligible) or ``exempt`` (commit-INELIGIBLE — verified but for an
+isolated-foreign *distractor* quantity it leaves unused). The rule:
+
+* candidates disagree (more than one distinct answer across the pool) → **refuse**
+  (the wrong=0 disagreement rule does the work);
+* a single distinct answer → commit **only if** a ``complete`` candidate produced it
+  (an ``exempt``-only answer never commits — full completeness is still required to
+  resolve, so ADR-0175's multi-step-incomplete defence is untouched).
+
+For a distractor problem this gives the product (``complete``) a competing additive
+reading (``exempt``) to disagree with → refusal; for a genuine product (0021/0003)
+there is no rival reading, so it still commits. Deterministic; sealed (serving is
+never invoked here).
+"""
+
+from __future__ import annotations
+
+from generate.derivation.accumulate import accumulation_candidates
+from generate.derivation.model import GroundedDerivation
+from generate.derivation.multistep import candidate_chains
+from generate.derivation.search import multiplicative_candidates
+from generate.derivation.verify import Resolution, classify_derivation
+
+
+def pooled_candidates(problem_text: str) -> list[GroundedDerivation]:
+    """Every composer's ungated candidate readings, de-duplicated. Deterministic
+    order (accumulation, then multiplicative, then chain)."""
+    seen: set[tuple[object, ...]] = set()
+    pooled: list[GroundedDerivation] = []
+    for derivation in (
+        *accumulation_candidates(problem_text),
+        *multiplicative_candidates(problem_text),
+        *candidate_chains(problem_text),
+    ):
+        key = (
+            round(derivation.answer, 9),
+            derivation.start.source_token,
+            tuple((step.op, step.operand.source_token) for step in derivation.steps),
+        )
+        if key in seen:
+            continue
+        seen.add(key)
+        pooled.append(derivation)
+    return pooled
+
+
+def resolve_pooled(problem_text: str) -> Resolution | None:
+    """Resolve a problem by pooling every composer's readings. Refuse-preferring.
+
+    Refuses on no verifying candidate, on disagreement among the pool, or when the
+    sole answer is produced only by commit-ineligible (``exempt``) readings.
+    """
+    classified = [
+        (kind, derivation)
+        for derivation in pooled_candidates(problem_text)
+        if (kind := classify_derivation(derivation, problem_text)) is not None
+    ]
+    if not classified:
+        return None
+
+    distinct = {round(derivation.answer, 9) for _, derivation in classified}
+    if len(distinct) != 1:
+        return None  # disagreement -> refuse (wrong=0)
+
+    committable = [d for kind, d in classified if kind == "complete"]
+    if not committable:
+        return None  # exempt-only -> refuse (a commit requires full completeness)
+
+    chosen = committable[0]
+    return Resolution(
+        answer=chosen.answer,
+        answer_unit=chosen.answer_unit,
+        derivation=chosen,
+    )
diff --git a/generate/derivation/search.py b/generate/derivation/search.py
index c3d8d321..486712f2 100644
--- a/generate/derivation/search.py
+++ b/generate/derivation/search.py
@@ -65,6 +65,13 @@ def _sentence_candidates(problem_text: str) -> list[GroundedDerivation]:
     return candidates
 
 
+def multiplicative_candidates(problem_text: str) -> list[GroundedDerivation]:
+    """ADR-0182 — the ungated in-clause product candidates, for cross-composer
+    pooling. Same construction :func:`search_multiplicative` gates, exposed so the
+    pool can weigh products against the other composers' readings."""
+    return _sentence_candidates(problem_text)
+
+
 def search_multiplicative(problem_text: str) -> Resolution | None:
     """Attempt a grounded in-clause multiplicative product.
 
diff --git a/generate/derivation/verify.py b/generate/derivation/verify.py
index 7696e21c..97f51dbf 100644
--- a/generate/derivation/verify.py
+++ b/generate/derivation/verify.py
@@ -50,9 +50,10 @@ class Resolution:
     derivation: GroundedDerivation
 
 
-def self_verifies(derivation: GroundedDerivation, problem_text: str) -> SelfVerification:
-    """Decide whether ``derivation`` self-verifies against ``problem_text``."""
-    tokens = _tokens(problem_text)
+def _base_reasons(derivation: GroundedDerivation, tokens: frozenset[str]) -> list[str]:
+    """The grounding ∧ cue ∧ unit ∧ divide-by-zero clauses (everything *but*
+    completeness). Shared by :func:`self_verifies` and :func:`classify_derivation`
+    so the two cannot drift."""
     reasons: list[str] = []
 
     # 1. operand grounding — every TEXT operand value must be sourced from the
@@ -82,6 +83,24 @@ def self_verifies(derivation: GroundedDerivation, problem_text: str) -> SelfVeri
         if step.op == "divide" and step.operand.value == 0:
             reasons.append("division by zero")
 
+    return reasons
+
+
+def _unused_quantities(derivation: GroundedDerivation, problem_text: str) -> Counter[str]:
+    """Problem quantities (by source token) the derivation does not consume."""
+    problem_quantities = Counter(q.source_token for q in extract_quantities(problem_text))
+    used = Counter(
+        [derivation.start.source_token]
+        + [step.operand.source_token for step in derivation.steps]
+    )
+    return problem_quantities - used
+
+
+def self_verifies(derivation: GroundedDerivation, problem_text: str) -> SelfVerification:
+    """Decide whether ``derivation`` self-verifies against ``problem_text``."""
+    tokens = _tokens(problem_text)
+    reasons = _base_reasons(derivation, tokens)
+
     # 5. completeness — a trustworthy derivation must account for every quantity
     #    the problem states. A derivation that ignores given numbers is an
     #    incomplete reading (typically a correct *first step* of a multi-step
@@ -90,15 +109,54 @@ def self_verifies(derivation: GroundedDerivation, problem_text: str) -> SelfVeri
     #    microscope identified (ADR-0175 self-verification strengthening): it
     #    catches the multi-step-incomplete attempts the cue/grounding clauses
     #    cannot, because their operands ARE grounded.
-    problem_quantities = Counter(q.source_token for q in extract_quantities(problem_text))
-    used = Counter([derivation.start.source_token] + [step.operand.source_token for step in derivation.steps])
-    unused = problem_quantities - used
+    unused = _unused_quantities(derivation, problem_text)
     if unused:
         reasons.append(f"incomplete: unused problem quantities {sorted(unused.keys())}")
 
     return SelfVerification(verified=not reasons, reasons=tuple(reasons))
 
 
+def classify_derivation(derivation: GroundedDerivation, problem_text: str) -> str | None:
+    """ADR-0182 — the commit-eligibility class of a derivation, for pooling.
+
+    Returns:
+
+    * ``"complete"`` — passes every clause *including* full completeness;
+      **commit-eligible** (may resolve as an answer).
+    * ``"exempt"``  — passes every base clause and the only unused quantities are
+      **isolated-foreign** (unit non-empty ∧ equal to no *used* operand's unit, i.e.
+      a candidate distractor standing alone in a dimension the reading never
+      touches); **commit-INELIGIBLE**. It exists only to enter the pool and force a
+      disagreement → refusal, never to be committed alone (see :mod:`generate.
+      derivation.pool`). This keeps the commit-path completeness guarantee
+      (ADR-0175's multi-step-incomplete defence) intact — the exemption widens only
+      what can *refuse*.
+    * ``None``      — fails a base clause, or an unused quantity is not
+      isolated-foreign (empty unit, or a unit shared with a used operand → real
+      signal the reading dropped).
+    """
+    tokens = _tokens(problem_text)
+    if _base_reasons(derivation, tokens):
+        return None
+    unused = _unused_quantities(derivation, problem_text)
+    if not unused:
+        return "complete"
+
+    used_units = {derivation.start.unit, *(step.operand.unit for step in derivation.steps)}
+    units_by_token: dict[str, set[str]] = {}
+    for q in extract_quantities(problem_text):
+        units_by_token.setdefault(q.source_token, set()).add(q.unit)
+
+    for token in unused:
+        token_units = units_by_token.get(token, {""})
+        # isolated-foreign iff *every* occurrence has a non-empty unit not shared
+        # with any used operand. An empty unit, or a unit a used operand carries,
+        # disqualifies the exemption — that quantity is real signal, not a distractor.
+        if any((not unit) or (unit in used_units) for unit in token_units):
+            return None
+    return "exempt"
+
+
 def select_self_verified(
     derivations: list[GroundedDerivation],
     problem_text: str,
diff --git a/tests/test_adr_0163_f2_confusers.py b/tests/test_adr_0163_f2_confusers.py
index eb1058f5..be1f40d3 100644
--- a/tests/test_adr_0163_f2_confusers.py
+++ b/tests/test_adr_0163_f2_confusers.py
@@ -24,8 +24,14 @@ from evals.gsm8k_math.confusers.v1.runner import (
 #     misfires (0005->796, 0007->996) now refuse — the 25-foot/20-inch divisor is
 #     finally visible to the completeness/polarity gate. wrong 7->5. pair_tells
 #     unchanged (the pseudo-accumulation cases carry no positive twin).
-_BASELINE_WRONG = 5
-_BASELINE_PAIR_TELLS = 4
+#   2026-05-29 (ADR-0182 cross-composer pooling): the engine now pools every
+#     composer's readings and refuses on disagreement. The distractor 0014
+#     (product 300 vs additive 25) and BOTH disguised-polarity cases (0001/0003:
+#     the spurious "for N coins" product disagrees with the accumulation reading)
+#     now refuse. wrong 5->2 (0016 needs anchor-skip; 0020 is temporal-scope).
+#     pair_tells 4->1 (0001/0003/0014 clear; 0020 remains).
+_BASELINE_WRONG = 2
+_BASELINE_PAIR_TELLS = 1
 
 
 class TestSchema:
@@ -87,5 +93,23 @@ class TestProbeBaseline:
             "divisor is no longer reaching the completeness/polarity gate."
         )
 
+    def test_distractor_0014_refuses_via_pooling(self) -> None:
+        # ADR-0182: 0014's blunt product (300) and its competing additive reading
+        # (25) disagree under cross-composer pooling -> refuse. Fails loudly if
+        # pooling regresses (the unique product would commit 300 again). 0016 is
+        # NOT asserted here — its distractor sits in the anchor clause and needs
+        # anchor-skip, a separate step (see ADR-0182 §3b).
+        by_id = {r.case_id: r for r in run_probe()}
+        assert by_id["confuser-v1-0014"].verdict == "refused"
+
+    def test_disguised_polarity_does_not_misfire(self) -> None:
+        # ADR-0182 bonus: the spurious "buys X for N <unit>" product disagrees with
+        # the accumulation reading, so both disguised-polarity cases refuse instead
+        # of committing the gain-polarity sum.
+        results = run_probe()
+        disguised = [r for r in results if r.category == "disguised-polarity"]
+        assert disguised
+        assert all(r.verdict != "wrong" for r in disguised)
+
     def test_deterministic(self) -> None:
         assert summarize(run_probe()) == summarize(run_probe())
diff --git a/tests/test_adr_0182_pool.py b/tests/test_adr_0182_pool.py
new file mode 100644
index 00000000..8a717e33
--- /dev/null
+++ b/tests/test_adr_0182_pool.py
@@ -0,0 +1,104 @@
+"""ADR-0182 — cross-composer disagreement pooling (distractor refusal).
+
+Two surfaces under test:
+
+* :func:`generate.derivation.verify.classify_derivation` — the commit-eligibility
+  class (``complete`` / ``exempt`` / ``None``) and, critically, that the
+  isolated-foreign exemption is *narrow* (an empty-unit or same-unit unused
+  quantity is never exempt — it is real signal, not a distractor).
+* :func:`generate.derivation.pool.resolve_pooled` — the pooled resolution: a clean
+  reading commits, a distractor problem's product-vs-additive disagreement refuses,
+  and (the wrong=0-critical property) an ``exempt``-only answer **never commits**.
+
+Sealed lane: ``chat/`` does not import these; serving ``3/47/0`` cannot move.
+"""
+
+from __future__ import annotations
+
+from generate.derivation.accumulate import accumulation_candidates
+from generate.derivation.model import GroundedDerivation, Quantity, Step
+from generate.derivation.pool import resolve_pooled
+from generate.derivation.verify import classify_derivation
+
+_DISTRACTOR_0014 = (
+    "Kate has 20 pencils. She studies for 3 hours and then buys 5 more pencils. "
+    "How many pencils does Kate have?"
+)
+# A distractor with NO multiplicative cue: the only candidate is the exempt additive
+# reading (no complete product exists). The commit-ineligibility rule must refuse it.
+_EXEMPT_ONLY = (
+    "Kate has 20 pencils. She rests for 3 hours and buys 5 more pencils."
+)
+_CLEAN_ACCUMULATION = "Sam has 14 apples. He buys 9 more apples."
+
+
+class TestClassifyDerivation:
+    def test_complete_reading_is_commit_eligible(self) -> None:
+        # uses every quantity -> complete
+        derivation = accumulation_candidates(_CLEAN_ACCUMULATION)[0]
+        assert classify_derivation(derivation, _CLEAN_ACCUMULATION) == "complete"
+
+    def test_isolated_foreign_unused_is_exempt(self) -> None:
+        # the additive reading of 0014 leaves "3 hours" unused; hours is foreign to
+        # the used unit (pencils) -> exempt (commit-ineligible).
+        derivation = GroundedDerivation(
+            start=Quantity(20.0, "pencils", "20"),
+            steps=(Step(op="add", operand=Quantity(5.0, "pencils", "5"), cue="more"),),
+        )
+        assert classify_derivation(derivation, _DISTRACTOR_0014) == "exempt"
+
+    def test_same_unit_unused_is_not_exempt(self) -> None:
+        # a quantity sharing the reading's unit is real signal, never a distractor:
+        # leaving it unused must NOT be exempted (it stays invalid -> None).
+        text = "Sam has 14 apples. He buys 9 more apples. He eats 2 apples."
+        derivation = GroundedDerivation(
+            start=Quantity(14.0, "apples", "14"),
+            steps=(Step(op="add", operand=Quantity(9.0, "apples", "9"), cue="more"),),
+        )
+        assert classify_derivation(derivation, text) is None
+
+    def test_empty_unit_unused_is_not_exempt(self) -> None:
+        # an unused quantity with an unknown (empty) unit cannot be shown foreign,
+        # so it is never exempt — completeness still rejects the reading.
+        text = "Sam has 14 apples. He buys 9 more apples. He had 2."
+        derivation = GroundedDerivation(
+            start=Quantity(14.0, "apples", "14"),
+            steps=(Step(op="add", operand=Quantity(9.0, "apples", "9"), cue="more"),),
+        )
+        assert classify_derivation(derivation, text) is None
+
+    def test_ungrounded_operand_is_invalid(self) -> None:
+        derivation = GroundedDerivation(
+            start=Quantity(14.0, "apples", "14"),
+            steps=(Step(op="add", operand=Quantity(999.0, "apples", "999"), cue="more"),),
+        )
+        assert classify_derivation(derivation, _CLEAN_ACCUMULATION) is None
+
+
+class TestResolvePooled:
+    def test_clean_accumulation_commits(self) -> None:
+        resolution = resolve_pooled(_CLEAN_ACCUMULATION)
+        assert resolution is not None
+        assert resolution.answer == 23.0
+
+    def test_distractor_0014_refuses_via_disagreement(self) -> None:
+        # product 300 (complete) vs additive 25 (exempt) disagree -> refuse.
+        assert resolve_pooled(_DISTRACTOR_0014) is None
+
+    def test_exempt_only_never_commits(self) -> None:
+        # THE wrong=0-critical obligation. The only verifying reading here is the
+        # exempt additive one (no multiplicative cue -> no competing product), so a
+        # commit would be on an incomplete reading. The commit-ineligibility rule
+        # must refuse. Flipping `exempt` to commit-eligible makes this commit 25 and
+        # this test fails loudly.
+        assert accumulation_candidates(_EXEMPT_ONLY), "expected an exempt candidate"
+        assert classify_derivation(
+            accumulation_candidates(_EXEMPT_ONLY)[-1], _EXEMPT_ONLY
+        ) == "exempt"
+        assert resolve_pooled(_EXEMPT_ONLY) is None
+
+    def test_deterministic(self) -> None:
+        assert resolve_pooled(_DISTRACTOR_0014) == resolve_pooled(_DISTRACTOR_0014)
+        a = resolve_pooled(_CLEAN_ACCUMULATION)
+        b = resolve_pooled(_CLEAN_ACCUMULATION)
+        assert a is not None and b is not None and a.answer == b.answer