"Intermittent fasting is scientifically proven superior to other diets for fat loss and longevity."

health nutrition biohacking · generated 2026-03-28 · v1.0.0
DISPROVED 4 citations
Evidence assessed across 4 verified citations.
Verified by Proof Engine — an open-source tool that verifies claims using cited sources and executable code. Reasoning transparent and auditable.
methodology · github · re-run this proof · submit your own

The scientific evidence does not support the idea that intermittent fasting is superior to other diets — and when you look at what the research actually says, the gap between the popular claim and the data is striking.

What Was Claimed?

The claim is that intermittent fasting isn't just a good diet option — it's scientifically proven to be better than other diets for both losing fat and living longer. This kind of strong claim circulates widely in health and wellness spaces, and it matters because people make real decisions based on it: skipping meals, restructuring their day, or passing on other dietary strategies they might otherwise try.

What Did We Find?

On fat loss, two large independent reviews of the clinical literature reached the same conclusion: intermittent fasting does not produce significantly more fat loss than a standard calorie-restricted diet. A 2025 systematic review and meta-analysis found that "IF resulted in a slightly greater, but statistically nonsignificant, decrease in weight." A separate 2022 meta-analysis of randomized controlled trials was even more direct: "IF outcomes did not differ from CR." Both studies looked at what happens when you compare intermittent fasting to a diet with the same total calories — and both found no meaningful difference.

This matters because many studies showing weight loss with intermittent fasting don't use a calorie-matched comparison group. When you control for total calorie intake, the apparent advantage disappears. The weight loss people experience on intermittent fasting appears to come from eating less overall, not from the timing of meals itself.

The longevity side of the claim is even harder to support. The evidence that intermittent fasting extends lifespan comes almost entirely from animal studies — worms, flies, and mice. In humans, the studies are short-term and measure metabolic markers like blood sugar and insulin, not actual lifespan. A 2024 review published via PubMed Central noted that "reported human studies have been of short duration, and the baseline parameters of the study populations are highly variable" — which is a researcher's way of saying the human evidence isn't yet good enough to draw firm conclusions.

In fact, the most recent large human study on the topic pointed in the opposite direction. An observational study of more than 20,000 U.S. adults, reported by the American Heart Association in 2024, found that limiting food intake to fewer than 8 hours per day "was not associated with living longer."

What Should You Keep In Mind?

Intermittent fasting is not being called harmful here — for many people it's a practical and sustainable way to reduce calorie intake. The issue is the word "proven" and the word "superior." Those are strong claims, and the evidence simply doesn't back them up at the level of scientific consensus.

The AHA 2024 study has real limitations: it was observational, not a controlled trial, and relied on just two days of dietary recall. It's possible sick people naturally eat within shorter time windows, which could bias the results. That caveat is worth knowing. But even setting that study aside entirely, the conclusion that IF hasn't been proven to extend human lifespan still stands on its own.

It's also worth noting that some studies do find specific improvements with intermittent fasting — in insulin sensitivity, waist circumference, or other markers. That doesn't contradict the verdict; it just means IF has real benefits, like most reasonably structured diets do. The claim being tested here is whether IF is proven superior, not whether it works at all.

How Was This Verified?

This verdict was reached by identifying and verifying peer-reviewed meta-analyses and major health authority sources on both fat loss and longevity, then checking whether any counter-evidence could overturn the finding. You can read the full reasoning in the structured proof report, examine every source and citation in the full verification audit, or re-run the proof yourself.

What could challenge this verdict?

Search 1 — Can any meta-analysis show IF is clinically superior for fat loss vs. calorie-matched CCR? Searched: "intermittent fasting significantly superior fat loss meta-analysis"; "IF vs caloric restriction fat mass RCT superiority." Reviewed Nutrients 2024 (PMID 39458528), PMC11930668 (2025), PMC9099935 (2022), PMC9108547 (2022), and the Lancet eClinicalMedicine umbrella review (2024).

Finding: Some meta-analyses report statistically significant advantages in specific metrics (e.g., BMI reduction in one study, insulin sensitivity in another), but none conclude IF is clinically superior for overall fat loss. Nutrients 2024 states "FBS did not show superior long-term outcomes compared to CCR." PMC11930668 2025 finds the weight loss difference "statistically nonsignificant." The literature consistently describes IF as equivalent — not proven superior — to matched CCR for fat loss. Does not break the disproof.

Search 2 — Is there any human RCT showing IF significantly extends lifespan? Searched: "intermittent fasting human lifespan RCT"; "time-restricted eating longevity clinical trial humans"; "IF longevity human evidence 2022–2024." Reviewed PMC11262566, PMC8932957, ScienceDirect S1568163724000928.

Finding: No such RCT exists. All evidence for IF extending lifespan comes from animal models (C. elegans, Drosophila, mice). Human studies use short-term metabolic proxies (weight, insulin, lipids), not lifespan endpoints. Does not break the disproof.

Search 3 — Is the AHA 2024 study (B4) robust enough to cite? Searched: "time-restricted eating AHA 2024 cardiovascular mortality limitations"; "TRE longevity criticism 2024." Reviewed Science Media Centre expert reactions and TCTMD debate coverage.

Finding: The AHA 2024 abstract has documented limitations — it is observational (not an RCT), relies on only 2 dietary recall days, and may reflect reverse causation (ill people may eat within shorter windows). However, the SC2 conclusion does not rest on this study alone: B3 (PMC11262566, Tier 5) independently establishes insufficient human longevity evidence. Even if B4 were discounted entirely, SC2 still holds. Does not break the disproof.


Sources

SourceIDTypeVerified
Evaluation of the effectiveness of intermittent fasting versus caloric restriction in weight loss and improving cardiometabolic health: A systematic review and meta-analysis (PMC, 2025) B1 Government Yes
Effects of Intermittent Fasting in Human Compared to a Non-intervention Diet and Caloric Restriction: A Meta-Analysis of Randomized Controlled Trials (PMC, 2022) B2 Government Yes
Review Article: Health Benefits of Intermittent Fasting (PMC, 2024) B3 Government Yes
American Heart Association newsroom: 8-hour time-restricted eating linked to a 91% higher risk of cardiovascular death (AHA, 2024) B4 Unclassified Yes
SC1: count of verified rejection sources for fat loss superiority A1 Computed
SC2: count of verified rejection sources for longevity superiority A2 Computed

detailed evidence

Detailed Evidence

Evidence Summary

ID Fact Verified
B1 SC1-A: Systematic review & meta-analysis of IF vs. caloric restriction (PMC11930668, 2025) — weight loss difference not statistically significant Yes
B2 SC1-B: Meta-analysis of IF vs. caloric restriction in humans (PMC9108547, 2022) — IF outcomes did not differ from CR Yes
B3 SC2-A: Review of IF health benefits (PMC11262566, 2024) — human longevity studies are short-duration with high variability Yes
B4 SC2-B: American Heart Association newsroom, 2024 — time-restricted eating not associated with living longer Yes
A1 SC1: count of verified rejection sources for fat loss superiority Computed: 2 independent sources confirmed — fat loss superiority unproven
A2 SC2: count of verified rejection sources for longevity superiority Computed: 2 independent sources confirmed — longevity superiority unproven

Note on B4 credibility: The automated credibility classifier rates heart.org as Tier 2 (unclassified domain) because the domain is not in its pre-classified list. The American Heart Association is in fact a major nonprofit health authority (equivalent to Tier 3–4). This classification should be read as "not auto-classified" rather than "low credibility." The SC2 verdict does not depend solely on B4 — B3 (PMC, Tier 5) independently establishes the same conclusion.


Proof Logic

SC1 — Fat loss superiority not proven

The scientific literature on IF vs. continuous caloric restriction (CCR) for fat loss is extensive. The key question is not whether IF produces weight loss (it does), but whether IF produces significantly better fat loss than a calorie-matched comparison diet.

B1 (PMC11930668, 2025 systematic review and meta-analysis): The authors directly tested this question and found that "IF resulted in a slightly greater, but statistically nonsignificant, decrease in weight." A statistically nonsignificant difference is, by definition, not scientifically proven superiority.

B2 (PMC9108547, 2022 meta-analysis of RCTs): Examining multiple RCTs, the authors concluded "IF outcomes did not differ from CR except for reduced WC [waist circumference]." This confirms overall equivalence.

Both B1 and B2 are independently authored, use different data sets, and reach the same conclusion: IF is not proven superior to CCR for fat loss. The "scientifically proven superior" standard is not met for SC1 (A1: 2/2 rejection sources confirmed).

SC2 — Longevity superiority not proven

Longevity claims for IF are largely derived from animal studies (C. elegans, Drosophila, mice). Translating these findings to human lifespan extension has not been accomplished in RCTs.

B3 (PMC11262566, 2024 review): The authors note that "reported human studies have been of short duration, and the baseline parameters of the study populations are highly variable" — meaning the human evidence base is not adequate to establish proven superiority for longevity.

B4 (AHA newsroom, 2024 — reporting on a study of >20,000 U.S. adults): "Limiting food intake to less than 8 hours per day was not associated with living longer." This is the largest observational study on the topic available as of this writing. Its finding directly contradicts any claim of proven longevity superiority.

Both B3 and B4 are from independent sources (a PMC academic review and the American Heart Association reporting on population-level data) and reach the same conclusion: IF has not been proven to extend human lifespan. SC2 fails (A2: 2/2 rejection sources confirmed).

Compound verdict

The original claim is SC1 AND SC2. Both SC1 and SC2 are independently disproved. The compound claim is therefore disproved.


Conclusion

Verdict: DISPROVED

The claim that "intermittent fasting is scientifically proven superior to other diets for fat loss and longevity" is disproved on both counts:

  • Fat loss (SC1): Two independent peer-reviewed meta-analyses (B1, B2 — both Tier 5, NIH/PMC) conclude that IF does not produce significantly greater fat loss than matched continuous caloric restriction. Both citations are fully verified. The "scientifically proven superior" standard is not met.

  • Longevity (SC2): No human RCT has demonstrated IF extends lifespan. A 2024 PMC review (B3, Tier 5) notes that human studies have been too short and too variable to establish longevity benefits. A large 2024 observational study of >20,000 U.S. adults reported by the American Heart Association (B4) found that time-restricted eating was not associated with living longer. Both citations are fully verified. Note: B4 comes from an unclassified domain (Tier 2 per classifier), but the AHA is a major recognized health authority, and B3 independently supports SC2 even without B4.

All four citations are fully verified (status: verified, method: full_quote). No adversarial check broke the disproof. The verdict does not depend on any unverified citation.

audit trail

Citation Verification 4/4 verified

All 4 citations verified.

Original audit log

B1 — PMC11930668 (SC1-A) - Status: verified - Method: full_quote - Coverage: N/A (full match) - Fetch mode: live

B2 — PMC9108547 (SC1-B) - Status: verified - Method: full_quote - Coverage: N/A (full match) - Fetch mode: live

B3 — PMC11262566 (SC2-A) - Status: verified - Method: full_quote - Coverage: N/A (full match) - Fetch mode: live

B4 — AHA newsroom (SC2-B) - Status: verified - Method: full_quote - Coverage: N/A (full match) - Fetch mode: live

No citations failed verification. No impact analysis required.


Claim Specification
Field Value
Subject Intermittent fasting
Compound operator AND
Proof direction disprove
SC1 property scientifically proven superior to other diets for fat loss
SC1 operator >=
SC1 threshold 2
SC2 property scientifically proven superior to other diets for longevity in humans
SC2 operator >=
SC2 threshold 2
Operator note The original claim asserts BOTH (a) proven fat loss superiority AND (b) proven longevity superiority. An AND claim is false if either conjunct is false. This proof shows both conjuncts fail. proof_direction='disprove': empirical_facts sources REJECT each sub-claim; claim_holds=True triggers verdict DISPROVED (not PROVED).

Claim Interpretation

Natural-language claim: Intermittent fasting is scientifically proven superior to other diets for fat loss and longevity.

Formal interpretation: This is a compound AND claim. Both conjuncts must hold for the claim to be true:

  • SC1 — Fat loss: IF is scientifically proven superior (i.e., peer-reviewed systematic evidence consistently and significantly favors IF) compared to other diets (primarily isocaloric continuous caloric restriction, the standard comparison in RCT literature) for fat loss outcomes.
  • SC2 — Longevity: IF is scientifically proven superior for human longevity (i.e., extension of lifespan or healthspan) compared to other diets.

Operator note: "Scientifically proven superior" is interpreted as the strong claim that scientific consensus — as expressed in systematic reviews and meta-analyses — concludes IF produces significantly better outcomes. A finding of equivalence, or of "slight but nonsignificant advantage," does not meet this standard. The claim is disproved if credible scientific sources explicitly conclude that superiority has NOT been established for either sub-claim.

Disproof strategy: Collect ≥2 independent peer-reviewed sources per sub-claim that reject the superiority assertion. Because this is a disproof (proof_direction = "disprove"), a threshold of 2 confirmed rejection sources per sub-claim triggers the DISPROVED verdict.


Source Credibility Assessment
Fact ID Domain Type Tier Note
B1 nih.gov government 5 Government domain (.gov) — PubMed Central, NIH
B2 nih.gov government 5 Government domain (.gov) — PubMed Central, NIH
B3 nih.gov government 5 Government domain (.gov) — PubMed Central, NIH
B4 heart.org unclassified 2 Unclassified domain — verify source authority manually. The American Heart Association is a major recognized nonprofit health authority; Tier 2 reflects absence from the classifier's pre-classified list, not low credibility. The SC2 verdict does not depend solely on B4: B3 (Tier 5) independently supports SC2.

Computation Traces
  [✓] sc1_source_a: Full quote verified for sc1_source_a (source: tier 5/government)
  [✓] sc1_source_b: Full quote verified for sc1_source_b (source: tier 5/government)
  [✓] sc2_source_a: Full quote verified for sc2_source_a (source: tier 5/government)
  [✓] sc2_source_b: Full quote verified for sc2_source_b (source: tier 2/unknown)
  SC1 confirmed rejection sources: 2 / 2
  SC2 confirmed rejection sources: 2 / 2
  SC1: verified sources showing IF NOT proven superior for fat loss: 2 >= 2 = True
  SC2: verified sources showing IF NOT proven superior for longevity: 2 >= 2 = True
  compound: all sub-claims hold: 2 == 2 = True

Independent Source Agreement

SC1 — Fat loss sources:

Source Publication Status
sc1_source_a PMC11930668 (2025 systematic review, separate author team) verified
sc1_source_b PMC9108547 (2022 meta-analysis, separate author team and data set) verified

Independence note: Sources are from separate publications with different author teams and data sets. Both independently conclude IF does not significantly outperform CCR for fat loss.

SC2 — Longevity sources:

Source Publication Status
sc2_source_a PMC11262566 (2024 review article) verified
sc2_source_b AHA newsroom (2024, reporting on >20,000-person observational study) verified

Independence note: Sources are from separate institutions — an academic review published via PMC and the American Heart Association newsroom reporting on a population-level observational study.


Adversarial Checks

Check 1 - Question: Do any meta-analyses clearly show IF is significantly and clinically superiorly effective for fat loss vs. calorie-matched CCR? - Verification performed: Searched: 'intermittent fasting significantly superior fat loss meta-analysis'; 'IF vs caloric restriction fat mass randomized controlled trial superiority'. Reviewed Nutrients 2024 (PMID 39458528), PMC11930668 (2025), PMC9099935 (2022), PMC9108547 (2022), and Lancet eClinicalMedicine umbrella review (2024). - Finding: Some meta-analyses find modest statistically significant advantages in specific metrics (e.g., BMI in one study, insulin sensitivity in another), but no meta-analysis concludes IF is clearly clinically superior for overall fat loss. Nutrients 2024: 'FBS did not show superior long-term outcomes compared to CCR.' PMC11930668 2025: weight loss difference 'statistically nonsignificant.' The scientific literature consistently describes IF as equivalent — not proven superior — to matched caloric restriction for fat loss. - Breaks proof: No

Check 2 - Question: Is there any human randomized controlled trial demonstrating that IF significantly extends lifespan or healthspan beyond other diets? - Verification performed: Searched: 'intermittent fasting human lifespan RCT randomized controlled trial'; 'time-restricted eating longevity humans clinical trial'; 'IF longevity human evidence 2022 2023 2024'. Reviewed PMC11262566, PMC8932957, ScienceDirect S1568163724000928. - Finding: No such RCT exists. All evidence for IF extending lifespan comes from animal models (C. elegans, Drosophila, mice). Human studies measure short-term metabolic proxies (weight, insulin, lipids), not lifespan. PMC11262566: 'reported human studies have been of short duration.' The most recent large observational study (AHA 2024, n>20,000) found that time-restricted eating was NOT associated with longer life, and was linked to 91% higher cardiovascular mortality. - Breaks proof: No

Check 3 - Question: Is the AHA 2024 study on TRE and cardiovascular mortality robust enough to count as evidence against longevity claims? - Verification performed: Searched: 'time-restricted eating AHA 2024 cardiovascular mortality limitations observational study confounders'; 'TRE longevity criticism 2024'. Reviewed Science Media Centre expert reactions and TCTMD debate coverage. - Finding: The AHA 2024 abstract has limitations: it was observational (not an RCT), relied on only 2 days of dietary recall, and may have reverse causation (sick people may eat within a shorter window). However, for SC2 the key point is not that IF harms longevity, but that IF has NOT been proven to extend human lifespan. Even discounting the AHA study, SC2 source A (PMC11262566) independently establishes insufficient human longevity evidence. - Breaks proof: No


Quality Checks
Rule Status Note
Rule 1: Values parsed from quotes, not hand-typed N/A — qualitative proof; no numeric extraction Auto-pass: no value-extraction patterns
Rule 2: Every citation URL fetched and quote checked PASS All 4 citations verified via verify_all_citations()
Rule 3: System time used for date-dependent logic N/A — no time-dependent logic in this proof Auto-pass: no date/age computations
Rule 4: Claim interpretation explicit with operator rationale PASS CLAIM_FORMAL with operator_note and per-sub-claim operator_note
Rule 5: Adversarial checks searched for independent counter-evidence PASS 3 adversarial checks with web searches for supporting evidence; none found
Rule 6: Cross-checks used independently sourced inputs PASS SC1: 2 separate author teams; SC2: PMC review + AHA observational study
Rule 7: Constants and formulas from computations.py N/A — qualitative proof; no constants Auto-pass: no inline formulas
validate_proof.py PASS (16/17, 1 warning) Warning: validator pattern match did not detect existing else-branch fallback — cosmetic only
Source Data
ID Extracted Value Value in Quote Quote Snippet
B1 verified (citation status) Yes "IF resulted in a slightly greater, but statistically nonsignificant, decrease in"
B2 verified (citation status) Yes "IF outcomes did not differ from CR except for reduced WC"
B3 verified (citation status) Yes "reported human studies have been of short duration, and the baseline parameters "
B4 verified (citation status) Yes "Limiting food intake to less than 8 hours per day was not associated with living"

Extraction method: For qualitative/consensus proofs, the extraction records citation verification status per source. No numeric parsing was performed. The "value" field records the citation status string (verified/partial/not_found/fetch_failed); "value_in_quote" records whether the status is countable (verified or partial).


Cite this proof
Proof Engine. (2026). Claim Verification: “Intermittent fasting is scientifically proven superior to other diets for fat loss and longevity.” — Disproved. https://doi.org/10.5281/zenodo.19489791
Proof Engine. "Claim Verification: “Intermittent fasting is scientifically proven superior to other diets for fat loss and longevity.” — Disproved." 2026. https://doi.org/10.5281/zenodo.19489791.
@misc{proofengine_intermittent_fasting_is_scientifically_proven_supe,
  title   = {Claim Verification: “Intermittent fasting is scientifically proven superior to other diets for fat loss and longevity.” — Disproved},
  author  = {{Proof Engine}},
  year    = {2026},
  url     = {https://proofengine.info/proofs/intermittent-fasting-is-scientifically-proven-supe/},
  note    = {Verdict: DISPROVED. Generated by proof-engine v1.0.0},
  doi     = {10.5281/zenodo.19489791},
}
TY  - DATA
TI  - Claim Verification: “Intermittent fasting is scientifically proven superior to other diets for fat loss and longevity.” — Disproved
AU  - Proof Engine
PY  - 2026
UR  - https://proofengine.info/proofs/intermittent-fasting-is-scientifically-proven-supe/
N1  - Verdict: DISPROVED. Generated by proof-engine v1.0.0
DO  - 10.5281/zenodo.19489791
ER  -
View proof source 365 lines · 15.8 KB

This is the exact proof.py that was deposited to Zenodo and runs when you re-execute via Binder. Every fact in the verdict above traces to code below.

"""
Proof: Intermittent fasting is scientifically proven superior to other diets for fat loss and longevity.
Generated: 2026-03-28
"""
import json
import os
import sys

PROOF_ENGINE_ROOT = os.environ.get("PROOF_ENGINE_ROOT")
if not PROOF_ENGINE_ROOT:
    _d = os.path.dirname(os.path.abspath(__file__))
    while _d != os.path.dirname(_d):
        if os.path.isdir(os.path.join(_d, "proof-engine", "skills", "proof-engine", "scripts")):
            PROOF_ENGINE_ROOT = os.path.join(_d, "proof-engine", "skills", "proof-engine")
            break
        _d = os.path.dirname(_d)
    if not PROOF_ENGINE_ROOT:
        raise RuntimeError("PROOF_ENGINE_ROOT not set and skill dir not found via walk-up from proof.py")
sys.path.insert(0, PROOF_ENGINE_ROOT)
from datetime import date

from scripts.verify_citations import verify_all_citations, build_citation_detail
from scripts.computations import compare

# 1. CLAIM INTERPRETATION (Rule 4)
CLAIM_NATURAL = (
    "Intermittent fasting is scientifically proven superior to other diets "
    "for fat loss and longevity."
)
CLAIM_FORMAL = {
    "subject": "Intermittent fasting",
    "sub_claims": [
        {
            "id": "SC1",
            "property": "scientifically proven superior to other diets for fat loss",
            "operator": ">=",
            "threshold": 2,
            "operator_note": (
                "SC1 is proved (for disproof purposes) when at least 2 independent "
                "peer-reviewed systematic reviews or meta-analyses conclude that IF does "
                "NOT significantly outperform isocaloric continuous caloric restriction "
                "for fat loss. A source counts if its verified quote expresses "
                "'no significant difference,' 'not superior,' or equivalent. "
                "Threshold of 2 provides independent confirmation from separate publications."
            ),
        },
        {
            "id": "SC2",
            "property": "scientifically proven superior to other diets for longevity in humans",
            "operator": ">=",
            "threshold": 2,
            "operator_note": (
                "SC2 is proved (for disproof purposes) when at least 2 independent "
                "sources — peer-reviewed reviews or major clinical/scientific bodies — "
                "explicitly state that evidence for IF's longevity benefit in humans is "
                "lacking, insufficient, or unproven, OR that IF was not associated with "
                "longer lifespan in human observational data. "
                "Threshold of 2 provides independent confirmation."
            ),
        },
    ],
    "compound_operator": "AND",
    "proof_direction": "disprove",
    "operator_note": (
        "The original claim asserts BOTH (a) proven fat loss superiority AND "
        "(b) proven longevity superiority. An AND claim is false if either conjunct is "
        "false. This proof shows both conjuncts fail: (a) meta-analyses show IF produces "
        "equivalent — not superior — fat loss vs. matched caloric restriction, and "
        "(b) no adequate human evidence exists for longevity superiority. "
        "proof_direction='disprove': empirical_facts sources REJECT each sub-claim; "
        "claim_holds=True triggers verdict DISPROVED (not PROVED)."
    ),
}

# 2. FACT REGISTRY
FACT_REGISTRY = {
    "B1": {
        "key": "sc1_source_a",
        "label": (
            "SC1-A: Systematic review & meta-analysis of IF vs. caloric restriction "
            "(PMC11930668, 2025) — weight loss difference not statistically significant"
        ),
    },
    "B2": {
        "key": "sc1_source_b",
        "label": (
            "SC1-B: Meta-analysis of IF vs. caloric restriction in humans "
            "(PMC9108547, 2022) — IF outcomes did not differ from CR"
        ),
    },
    "B3": {
        "key": "sc2_source_a",
        "label": (
            "SC2-A: Review of IF health benefits (PMC11262566, 2024) — "
            "human longevity studies are short-duration with high variability"
        ),
    },
    "B4": {
        "key": "sc2_source_b",
        "label": (
            "SC2-B: American Heart Association newsroom, 2024 — "
            "time-restricted eating not associated with living longer"
        ),
    },
    "A1": {"label": "SC1: count of verified rejection sources for fat loss superiority", "method": None, "result": None},
    "A2": {"label": "SC2: count of verified rejection sources for longevity superiority", "method": None, "result": None},
}

# 3. EMPIRICAL FACTS
# These sources REJECT the claim (disproof direction).
# For SC1: peer-reviewed meta-analyses concluding IF is not significantly superior for fat loss.
# For SC2: evidence that IF has no proven longevity benefit in humans.
empirical_facts = {
    "sc1_source_a": {
        "quote": (
            "IF resulted in a slightly greater, but statistically nonsignificant, "
            "decrease in weight"
        ),
        "url": "https://pmc.ncbi.nlm.nih.gov/articles/PMC11930668/",
        "source_name": (
            "Evaluation of the effectiveness of intermittent fasting versus caloric "
            "restriction in weight loss and improving cardiometabolic health: "
            "A systematic review and meta-analysis (PMC, 2025)"
        ),
    },
    "sc1_source_b": {
        "quote": "IF outcomes did not differ from CR except for reduced WC",
        "url": "https://pmc.ncbi.nlm.nih.gov/articles/PMC9108547/",
        "source_name": (
            "Effects of Intermittent Fasting in Human Compared to a Non-intervention "
            "Diet and Caloric Restriction: A Meta-Analysis of Randomized Controlled "
            "Trials (PMC, 2022)"
        ),
    },
    "sc2_source_a": {
        "quote": (
            "reported human studies have been of short duration, and the baseline "
            "parameters of the study populations are highly variable"
        ),
        "url": "https://pmc.ncbi.nlm.nih.gov/articles/PMC11262566/",
        "source_name": (
            "Review Article: Health Benefits of Intermittent Fasting (PMC, 2024)"
        ),
    },
    "sc2_source_b": {
        "quote": (
            "Limiting food intake to less than 8 hours per day was not associated "
            "with living longer"
        ),
        "url": "https://newsroom.heart.org/news/8-hour-time-restricted-eating-linked-to-a-91-higher-risk-of-cardiovascular-death",
        "source_name": (
            "American Heart Association newsroom: 8-hour time-restricted eating "
            "linked to a 91% higher risk of cardiovascular death (AHA, 2024)"
        ),
    },
}

# 4. CITATION VERIFICATION (Rule 2)
citation_results = verify_all_citations(empirical_facts, wayback_fallback=True)

# 5. COUNT VERIFIED SOURCES PER SUB-CLAIM
COUNTABLE_STATUSES = ("verified", "partial")
sc1_keys = [k for k in empirical_facts if k.startswith("sc1_")]
sc2_keys = [k for k in empirical_facts if k.startswith("sc2_")]

n_sc1 = sum(1 for k in sc1_keys if citation_results[k]["status"] in COUNTABLE_STATUSES)
n_sc2 = sum(1 for k in sc2_keys if citation_results[k]["status"] in COUNTABLE_STATUSES)
print(f"  SC1 confirmed rejection sources: {n_sc1} / {len(sc1_keys)}")
print(f"  SC2 confirmed rejection sources: {n_sc2} / {len(sc2_keys)}")

# 6. PER-SUB-CLAIM EVALUATION (Rule 7 — compare() not hardcoded)
sc1_holds = compare(
    n_sc1, ">=", CLAIM_FORMAL["sub_claims"][0]["threshold"],
    label="SC1: verified sources showing IF NOT proven superior for fat loss",
)
sc2_holds = compare(
    n_sc2, ">=", CLAIM_FORMAL["sub_claims"][1]["threshold"],
    label="SC2: verified sources showing IF NOT proven superior for longevity",
)

# 7. COMPOUND EVALUATION
n_holding = sum([sc1_holds, sc2_holds])
n_total = len(CLAIM_FORMAL["sub_claims"])
claim_holds = compare(n_holding, "==", n_total, label="compound: all sub-claims hold")

# 8. ADVERSARIAL CHECKS (Rule 5)
# Searched for evidence that would break the disproof — i.e., evidence supporting
# the original claim of proven superiority.
adversarial_checks = [
    {
        "question": (
            "Do any meta-analyses clearly show IF is significantly and clinically "
            "superiorly effective for fat loss vs. calorie-matched CCR?"
        ),
        "verification_performed": (
            "Searched: 'intermittent fasting significantly superior fat loss meta-analysis'; "
            "'IF vs caloric restriction fat mass randomized controlled trial superiority'. "
            "Reviewed Nutrients 2024 (PMID 39458528), PMC11930668 (2025), PMC9099935 (2022), "
            "PMC9108547 (2022), and Lancet eClinicalMedicine umbrella review (2024)."
        ),
        "finding": (
            "Some meta-analyses find modest statistically significant advantages in specific "
            "metrics (e.g., BMI in one study, insulin sensitivity in another), but no "
            "meta-analysis concludes IF is clearly clinically superior for overall fat loss. "
            "Nutrients 2024: 'FBS did not show superior long-term outcomes compared to CCR.' "
            "PMC11930668 2025: weight loss difference 'statistically nonsignificant.' "
            "The scientific literature consistently describes IF as equivalent — not "
            "proven superior — to matched caloric restriction for fat loss."
        ),
        "breaks_proof": False,
    },
    {
        "question": (
            "Is there any human randomized controlled trial demonstrating that "
            "IF significantly extends lifespan or healthspan beyond other diets?"
        ),
        "verification_performed": (
            "Searched: 'intermittent fasting human lifespan RCT randomized controlled trial'; "
            "'time-restricted eating longevity humans clinical trial'; "
            "'IF longevity human evidence 2022 2023 2024'. "
            "Reviewed PMC11262566, PMC8932957, ScienceDirect S1568163724000928."
        ),
        "finding": (
            "No such RCT exists. All evidence for IF extending lifespan comes from animal "
            "models (C. elegans, Drosophila, mice). Human studies measure short-term "
            "metabolic proxies (weight, insulin, lipids), not lifespan. "
            "PMC11262566: 'reported human studies have been of short duration.' "
            "The most recent large observational study (AHA 2024, n>20,000) found that "
            "time-restricted eating was NOT associated with longer life, and was linked "
            "to 91% higher cardiovascular mortality."
        ),
        "breaks_proof": False,
    },
    {
        "question": (
            "Is the AHA 2024 study on TRE and cardiovascular mortality robust enough "
            "to count as evidence against longevity claims?"
        ),
        "verification_performed": (
            "Searched: 'time-restricted eating AHA 2024 cardiovascular mortality limitations "
            "observational study confounders'; 'TRE longevity criticism 2024'. "
            "Reviewed Science Media Centre expert reactions and TCTMD debate coverage."
        ),
        "finding": (
            "The AHA 2024 abstract has limitations: it was observational (not an RCT), "
            "relied on only 2 days of dietary recall, and may have reverse causation "
            "(sick people may eat within a shorter window). However, for SC2 the key point "
            "is not that IF harms longevity, but that IF has NOT been proven to extend "
            "human lifespan. Even discounting the AHA study, SC2 source A (PMC11262566) "
            "independently establishes insufficient human longevity evidence."
        ),
        "breaks_proof": False,
    },
]

# 9. VERDICT AND STRUCTURED OUTPUT
if __name__ == "__main__":
    any_unverified = any(
        cr["status"] != "verified" for cr in citation_results.values()
    )
    any_breaks = any(ac.get("breaks_proof") for ac in adversarial_checks)
    is_disproof = CLAIM_FORMAL.get("proof_direction") == "disprove"

    if any_breaks:
        verdict = "UNDETERMINED"
    elif not claim_holds and n_holding > 0:
        # Mixed: some sub-claims have enough evidence, others don't.
        verdict = "PARTIALLY VERIFIED"
    elif claim_holds and not any_unverified:
        verdict = "DISPROVED" if is_disproof else "PROVED"
    elif claim_holds and any_unverified:
        verdict = (
            "DISPROVED (with unverified citations)"
            if is_disproof
            else "PROVED (with unverified citations)"
        )
    else:
        # No sub-claims met threshold — insufficient evidence.
        verdict = "UNDETERMINED"

    FACT_REGISTRY["A1"]["method"] = f"count(verified SC1 rejection sources) = {n_sc1}"
    FACT_REGISTRY["A1"]["result"] = str(n_sc1)
    FACT_REGISTRY["A2"]["method"] = f"count(verified SC2 rejection sources) = {n_sc2}"
    FACT_REGISTRY["A2"]["result"] = str(n_sc2)

    citation_detail = build_citation_detail(FACT_REGISTRY, citation_results, empirical_facts)

    # Extractions: for qualitative proofs, record citation status per source
    extractions = {}
    for fid, info in FACT_REGISTRY.items():
        if not fid.startswith("B"):
            continue
        ef_key = info["key"]
        cr = citation_results.get(ef_key, {})
        extractions[fid] = {
            "value": cr.get("status", "unknown"),
            "value_in_quote": cr.get("status") in COUNTABLE_STATUSES,
            "quote_snippet": empirical_facts[ef_key]["quote"][:80],
        }

    summary = {
        "fact_registry": {fid: dict(info) for fid, info in FACT_REGISTRY.items()},
        "claim_formal": CLAIM_FORMAL,
        "claim_natural": CLAIM_NATURAL,
        "citations": citation_detail,
        "extractions": extractions,
        "cross_checks": [
            {
                "description": "SC1: independent peer-reviewed sources consulted on fat loss",
                "n_sources_consulted": len(sc1_keys),
                "n_sources_verified": n_sc1,
                "sources": {k: citation_results[k]["status"] for k in sc1_keys},
                "independence_note": (
                    "Sources are from separate publications (2022 meta-analysis PMC9108547 "
                    "and 2025 systematic review PMC11930668) with different author teams "
                    "and data sets."
                ),
            },
            {
                "description": "SC2: independent sources consulted on human longevity evidence",
                "n_sources_consulted": len(sc2_keys),
                "n_sources_verified": n_sc2,
                "sources": {k: citation_results[k]["status"] for k in sc2_keys},
                "independence_note": (
                    "Sources are from separate institutions: a 2024 PMC review article "
                    "(PMC11262566) and the American Heart Association newsroom reporting on "
                    "a 2024 observational study of >20,000 US adults."
                ),
            },
        ],
        "sub_claim_results": [
            {
                "id": "SC1",
                "n_confirming": n_sc1,
                "threshold": CLAIM_FORMAL["sub_claims"][0]["threshold"],
                "holds": sc1_holds,
            },
            {
                "id": "SC2",
                "n_confirming": n_sc2,
                "threshold": CLAIM_FORMAL["sub_claims"][1]["threshold"],
                "holds": sc2_holds,
            },
        ],
        "adversarial_checks": adversarial_checks,
        "verdict": verdict,
        "key_results": {
            "n_holding": n_holding,
            "n_total": n_total,
            "claim_holds": claim_holds,
            "sc1_holds": sc1_holds,
            "sc2_holds": sc2_holds,
            "proof_direction": "disprove",
        },
        "generator": {
            "name": "proof-engine",
            "version": open(os.path.join(PROOF_ENGINE_ROOT, "VERSION")).read().strip(),
            "repo": "https://github.com/yaniv-golan/proof-engine",
            "generated_at": date.today().isoformat(),
        },
    }

    print("\n=== PROOF SUMMARY (JSON) ===")
    print(json.dumps(summary, indent=2, default=str))

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