Are Large Language Models Truly Smarter Than Humans?
Organizations: Applied AI Scientist, Health Vectors · Senior AI Scientist, Intuit India
Abstract
Public leaderboards increasingly suggest that large language models (LLMs) surpass human experts on benchmarks spanning academic knowledge, law, and programming. Yet most benchmarks are fully public, their questions widely mirrored across the internet, creating systematic risk that models were trained on the very data used to evaluate them. This paper presents three complementary experiments forming a rigorous multi-method contamination audit of six frontier LLMs: GPT-4o, GPT-4o-mini, DeepSeek-R1, DeepSeek-V3, Llama-3.3-70B, and Qwen3-235B. Experiment 1 applies a lexical contamination detection pipeline to 513 MMLU questions across all 57 subjects, finding an overall contamination rate of 13.8% (18.1% in STEM, up to 66.7% in Philosophy) and estimated performance gains of +0.030 to +0.054 accuracy points by category. Experiment 2 applies a paraphrase and indirect-reference diagnostic to 100 MMLU questions, finding accuracy drops by an average of 7.0 percentage points under indirect reference, rising to 19.8 pp in both Law and Ethics. Experiment 3 applies TS-Guessing behavioral probes to all 513 questions and all six models, finding that 72.5% trigger memorization signals far above chance, with DeepSeek-R1 displaying a distributed memorization signature (76.6% partial reconstruction, 0% verbatim recall) that explains its anomalous Experiment 2 profile. All three experiments converge on the same contamination ranking: STEM > Professional > Social Sciences > Humanities.
Figures & tables
| Method family | Primary signal | Data needed | This paper |
|---|---|---|---|
| Retrieval-based (n-gram) | Web overlap with question text | Public search API | Exp. 1 |
| Impact-based (ConTAM/EPG) | Accuracy on clean vs. flagged items | Contamination labels | Exp. 1 |
| Paraphrase diagnostic | Accuracy drop under surface change | Model API only | Exp. 2 |
| Behavioral (TS-Guessing) | Reconstruction of masked elements | Model API only | Exp. 3 |
| Category | N | Contam. (%) | Reported Acc. | EPG |
|---|---|---|---|---|
| Humanities | 117 | 10.3 | 0.72 | 0.030 |
| Professional | 126 | 12.7 | 0.78 | 0.040 |
| STEM | 171 | 18.1 | 0.74 | 0.054 |
| Social Sciences | 99 | 12.1 | 0.76 | 0.037 |
| All | 513 | 13.8 | 0.74 | 0.040 |
| Subject | N | Contam. (%) | Avg. overlap |
|---|---|---|---|
| Philosophy | 9 | 66.7 | 0.667 |
| Anatomy | 9 | 55.6 | 0.508 |
| Electrical Engineering | 9 | 44.4 | 0.543 |
| Marketing | 9 | 44.4 | 0.444 |
| Conceptual Physics | 9 | 44.4 | 0.716 |
| Professional Accounting | 9 | 44.4 | 0.433 |
| Model | Original | Paraphrased | Drop P | Indirect | Drop I |
|---|---|---|---|---|---|
| GPT-4o | 0.588 | 0.677 | 0.089 | 0.594 | 0.006 |
| GPT-4o-mini | 0.529 | 0.469 | 0.060 | 0.490 | 0.039 |
| DeepSeek-R1 | 0.292 | 0.333 | 0.041 | 0.260 | 0.032 |
| DeepSeek-V3 | 0.677 | 0.573 | 0.104 | 0.615 | 0.062 |
| Llama-3.3-70B | 0.771 | 0.635 | 0.136 | 0.625 | 0.146 |
| Qwen3-235B | 0.833 | 0.698 | 0.135 | 0.688 | 0.146 |
| Subject | Original | Indirect | Drop |
|---|---|---|---|
| History | 0.823 | 0.802 | 0.021 |
| Law | 0.635 | 0.437 | 0.198 |
| CS | 0.677 | 0.541 | 0.135 |
| Mathematics | 0.416 | 0.365 | 0.051 |
| Biology | 0.792 | 0.708 | 0.083 |
| Ethics | 0.615 | 0.416 | 0.198 |
| Model | OM exact | OM partial ( 50%) | WM exact | Combined |
|---|---|---|---|---|
| GPT-4o | 15.6% | 37.6% | 62.1% | 72.9% |
| GPT-4o-mini | 15.0% | 37.6% | 50.0% | 66.1% |
| DeepSeek-R1 | 0.0% | 76.6% | 0.0% | 76.6% |
| DeepSeek-V3 | 19.9% | 43.5% | 60.0% | 76.4% |
| Llama-3.3-70B | 13.1% | 37.0% | 54.3% | 69.6% |
| Qwen3-235B | 21.4% | 42.7% | 57.8% | 73.7% |
| Category | Exp 1 (web) | Exp 3 (TS-Guessing) | Difference |
|---|---|---|---|
| STEM | 18.1% | 55.9% | 37.8% |
| Professional | 12.7% | 44.8% | 32.1% |
| Social Sciences | 12.1% | 39.1% | 27.0% |
| Humanities | 10.3% | 38.0% | 27.7% |
Data Contamination in Language Models
Data contamination in language models examines how training exposure to evaluation data affects measured capability, benchmark validity, and model behavior.
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