# The Multivac — Evaluation Report

**Evaluation ID:** EVAL-20260402-172828
**Date:** Apr 02, 2026
**Category:** reasoning
**Question ID:** REASON-020

---

## Question

Explain Godel's First Incompleteness Theorem to someone who understands basic logic but not formal mathematics. Then: (1) What does it actually imply about AI? (Hint: less than most people think.) (2) Some people claim Godel's theorem means AI can never match human intelligence. Evaluate this claim rigorously. (3) Does Godel's theorem apply to neural networks? Why or why not?

---

## Winner

**Grok 4.20** (openrouter)
- Winner Score: 9.09
- Matrix Average: 8.32
- Total Judgments: 87

---

## Rankings

| Rank | Model | Provider | Avg Score | Judgments |
|------|-------|----------|-----------|----------|
| 1 | Grok 4.20 | openrouter | 9.09 | 8 |
| 2 | Claude Opus 4.6 | openrouter | 8.74 | 9 |
| 3 | MiniMax M2.5 | openrouter | 8.67 | 9 |
| 4 | GPT-5.4 | openrouter | 8.66 | 8 |
| 5 | MiMo-V2-Flash | Xiaomi | 8.53 | 9 |
| 6 | Claude Sonnet 4.6 | openrouter | 8.51 | 8 |
| 7 | GPT-OSS-120B | OpenAI | 8.19 | 9 |
| 8 | DeepSeek V4 | openrouter | 8.16 | 9 |
| 9 | Gemini 2.5 Flash | openrouter | 8.08 | 9 |
| 10 | Gemini 3.1 Pro | openrouter | 6.56 | 9 |

---

## 10×10 Judgment Matrix

Rows = Judge, Columns = Respondent. Self-judgments excluded (—).

| Judge ↓ / Resp → | Grok 4.20 | Gemini 3.1 Pro | DeepSeek V4 | Claude Opus | GPT-5.4 | Claude Sonnet | MiMo-V2-Flash | GPT-OSS-120B | Gemini 2.5 | MiniMax M2.5 |
|---|---|---|---|---|---|---|---|---|---|---|
| Grok 4.20 | — | 7.5 | 8.6 | 8.8 | 8.8 | 8.8 | 8.4 | 8.7 | 8.4 | 8.7 |
| Gemini 3.1 Pro | 10.0 | — | 7.0 | 8.4 | 7.9 | 7.7 | 9.4 | 7.3 | 6.8 | 8.6 |
| DeepSeek V4 | 8.7 | 8.4 | — | 8.8 | 8.4 | 9.0 | 8.7 | 8.8 | 8.7 | 9.0 |
| Claude Opus | 9.2 | 6.0 | 7.2 | — | 9.0 | 9.0 | 7.8 | 8.0 | 7.8 | 8.8 |
| GPT-5.4 | 9.0 | 2.9 | 8.6 | 7.7 | — | 7.8 | 8.0 | 6.7 | 7.1 | 8.2 |
| Claude Sonnet | · | 5.8 | 8.2 | 9.7 | 8.8 | — | 8.6 | 8.7 | 8.8 | 8.8 |
| MiMo-V2-Flash | 9.0 | 8.1 | 9.0 | 9.2 | 9.0 | 8.8 | — | 8.8 | 8.8 | 8.8 |
| GPT-OSS-120B | 8.4 | 6.6 | 8.3 | 8.4 | · | · | 8.0 | — | 8.7 | 8.3 |
| Gemini 2.5 | 9.4 | 7.8 | 8.8 | 9.0 | 9.0 | 9.0 | 9.0 | 9.0 | — | 9.0 |
| MiniMax M2.5 | 9.0 | 6.0 | 7.8 | 8.7 | 8.3 | 7.9 | 9.0 | 7.7 | 7.7 | — |

---

## Methodology

- **10×10 Blind Peer Matrix:** All models answer the same question, then all models judge all responses.
- **5 Criteria:** Correctness, completeness, clarity, depth, usefulness (each scored 1–10).
- **Self-judgments excluded:** Models do not judge their own responses.
- **Weighted Score:** Composite of all 5 criteria.

---

## Citation

The Multivac (2026). Blind Peer Evaluation: REASON-020. app.themultivac.com

## License

Open data. Free to use, share, and build upon. Please cite The Multivac when using this data.

Download raw JSON: https://app.themultivac.com/api/evaluations/EVAL-20260402-172828/results
Full dataset: https://app.themultivac.com/dashboard/export