{
  "evaluation_id": "EVAL-20260402-175945",
  "question_id": "REASON-024",
  "question_text": "On an island, every person is either a truth-teller (always tells truth) or a liar (always lies). You meet three people: A says 'Exactly one of us is a truth-teller.' B says 'A is a liar.' C says 'B is a truth-teller.' (1) Determine who is what. (2) You can ask ONE yes/no question to ONE person to find out if a hidden treasure is in the cave or the forest. What question do you ask, and to whom?",
  "category": "reasoning",
  "timestamp": "2026-04-02T17:59:45.846Z",
  "display_date": "Apr 02, 2026",
  "winner": {
    "name": "GPT-5.4",
    "provider": "openrouter",
    "score": 8.82
  },
  "avg_score": 6.615556,
  "matrix_size": 80,
  "models_used": [
    {
      "id": "gemini_31_pro",
      "name": "Gemini 3.1 Pro",
      "provider": "openrouter"
    },
    {
      "id": "deepseek_v4",
      "name": "DeepSeek V4",
      "provider": "openrouter"
    },
    {
      "id": "claude_opus_46",
      "name": "Claude Opus 4.6",
      "provider": "openrouter"
    },
    {
      "id": "gpt_5_4",
      "name": "GPT-5.4",
      "provider": "openrouter"
    },
    {
      "id": "grok_420",
      "name": "Grok 4.20",
      "provider": "openrouter"
    },
    {
      "id": "claude_sonnet_46",
      "name": "Claude Sonnet 4.6",
      "provider": "openrouter"
    },
    {
      "id": "mimo_v2_flash",
      "name": "MiMo-V2-Flash",
      "provider": "Xiaomi"
    },
    {
      "id": "gpt_oss_120b",
      "name": "GPT-OSS-120B",
      "provider": "OpenAI"
    },
    {
      "id": "gemini_25_flash",
      "name": "Gemini 2.5 Flash",
      "provider": "openrouter"
    }
  ],
  "rankings": {
    "gpt_5_4": {
      "display_name": "GPT-5.4",
      "provider": "openrouter",
      "average_score": 8.82,
      "score_count": 9,
      "min_score": 6.9,
      "max_score": 10,
      "rank": 1
    },
    "gpt_oss_120b": {
      "display_name": "GPT-OSS-120B",
      "provider": "OpenAI",
      "average_score": 8.68,
      "score_count": 9,
      "min_score": 5.95,
      "max_score": 10,
      "rank": 2
    },
    "claude_sonnet_46": {
      "display_name": "Claude Sonnet 4.6",
      "provider": "openrouter",
      "average_score": 7.87,
      "score_count": 9,
      "min_score": 4.55,
      "max_score": 9.8,
      "rank": 3
    },
    "claude_opus_46": {
      "display_name": "Claude Opus 4.6",
      "provider": "openrouter",
      "average_score": 7.59,
      "score_count": 9,
      "min_score": 5.15,
      "max_score": 9,
      "rank": 4
    },
    "mimo_v2_flash": {
      "display_name": "MiMo-V2-Flash",
      "provider": "Xiaomi",
      "average_score": 7.43,
      "score_count": 8,
      "min_score": 5.35,
      "max_score": 9.85,
      "rank": 5
    },
    "gemini_25_flash": {
      "display_name": "Gemini 2.5 Flash",
      "provider": "openrouter",
      "average_score": 6.11,
      "score_count": 9,
      "min_score": 4.1,
      "max_score": 8.5,
      "rank": 6
    },
    "grok_420": {
      "display_name": "Grok 4.20",
      "provider": "openrouter",
      "average_score": 5.73,
      "score_count": 9,
      "min_score": 3.4,
      "max_score": 9.45,
      "rank": 7
    },
    "deepseek_v4": {
      "display_name": "DeepSeek V4",
      "provider": "openrouter",
      "average_score": 4.9,
      "score_count": 9,
      "min_score": 3,
      "max_score": 6.4,
      "rank": 8
    },
    "gemini_31_pro": {
      "display_name": "Gemini 3.1 Pro",
      "provider": "openrouter",
      "average_score": 2.42,
      "score_count": 9,
      "min_score": 0.65,
      "max_score": 5.45,
      "rank": 9
    }
  },
  "judgments": [
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 2.45,
      "brief_justification": "The response is incomplete and stops mid-sentence. It does not provide a full solution to either part of the problem."
    },
    {
      "judge_key": "gemini_31_pro",
      "judge_name": "Gemini 3.1 Pro",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 4.35,
      "brief_justification": "The model correctly analyzes the first part of the puzzle but gets stuck in a loop, fails to address the second part entirely, and cuts off mid-sentence."
    },
    {
      "judge_key": "gemini_31_pro",
      "judge_name": "Gemini 3.1 Pro",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 9,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_31_pro",
      "judge_name": "Gemini 3.1 Pro",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 10,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_31_pro",
      "judge_name": "Gemini 3.1 Pro",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 3.4,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_31_pro",
      "judge_name": "Gemini 3.1 Pro",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 6.7,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_31_pro",
      "judge_name": "Gemini 3.1 Pro",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 5.95,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_31_pro",
      "judge_name": "Gemini 3.1 Pro",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 10,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_31_pro",
      "judge_name": "Gemini 3.1 Pro",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 4.35,
      "brief_justification": "The model correctly analyzes the first part of the puzzle and identifies two valid scenarios, but the response cuts off abruptly and completely fails to address the second part of the prompt."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 5.45,
      "brief_justification": "Incomplete analysis and missing conclusion for Part 1; Part 2 is missing entirely."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 9,
      "brief_justification": "Detailed and logical analysis with a clever solution for the treasure question."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 9.05,
      "brief_justification": "Accurate and thorough analysis with clear reasoning and practical solution."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 9.45,
      "brief_justification": "Accurate reasoning and solution for both parts, with clear explanation and practical approach."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 9.6,
      "brief_justification": "Thorough and accurate analysis with a universally applicable solution."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 9.6,
      "brief_justification": "Accurate, thorough, and practical solution with clear reasoning."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 9.45,
      "brief_justification": "Highly accurate and thorough analysis with clear logic and practical solution."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 8.05,
      "brief_justification": "Thorough analysis with clear reasoning, but slightly unclear on the uniqueness of the solution."
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 0.85,
      "brief_justification": "The response is incomplete - it cuts off mid-sentence during Part 1 and never reaches Part 2. No determination of who is what is provided, and no question for the treasure is formulated. The tiny fragment shown is not incorrect but provides essentially no useful content."
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 4.15,
      "brief_justification": "The response correctly identifies both consistent scenarios (A:T, B:L, C:L and A:L, B:T, C:T) and works through the logic systematically. However, it fails to reach a definitive conclusion for Part 1, getting stuck in an unresolved loop, and the response appears truncated before completing the analysis. Part 2 (the treasure question) is never addressed at all. While the logical reasoning shown is sound, the response is incomplete, unfinished, and fails to deliver answers to either part of the qu"
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 8.6,
      "brief_justification": "The analysis correctly identifies both consistent solutions and explains why the identities cannot be uniquely determined. The double-negation question technique for part (2) is correctly applied and well-explained. The response is clear, well-structured, and logically sound. Minor deduction: could have explored whether the ambiguity in part (1) affects the strategy in part (2) more explicitly, but the chosen approach (ask anyone the double-question) is valid regardless."
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 4.55,
      "brief_justification": "The response identifies two consistent solutions but then incorrectly rejects the first valid one (A=truth-teller, B=liar, C=liar) based on a subjective argument that it makes Part 2 'trivial.' In fact, A being a truth-teller is a perfectly valid and consistent solution. The second solution (A=liar, B=truth-teller, C=liar) is internally contradictory: C says 'B is a truth-teller,' which is true, yet C is claimed to be a liar—a direct contradiction. The response even acknowledges this contradicti"
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 8.2,
      "brief_justification": "The response correctly identifies both consistent scenarios in Part 1, which is the mathematically honest answer - both cases are indeed valid. The Part 2 solution using the classic double-question technique is correct and well-explained with a clear truth table. The only minor issue is that many puzzle-setters expect a unique solution for Part 1 (typically Case 1), and the response could have discussed whether the puzzle intends a unique answer or acknowledged this ambiguity more explicitly. Th"
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 6.85,
      "brief_justification": "The reasoning in Part 1 contains a critical error. Scenario 1 (A=Truth-teller, B=Liar, C=Liar) is actually the consistent solution: A says 'exactly one of us is a truth-teller' which is true (only A), B says 'A is a liar' which is false (B is a liar), C says 'B is a truth-teller' which is false (C is a liar). In Scenario 2 (A=Liar, B=Truth-teller, C=Truth-teller), A's statement 'exactly one is a truth-teller' is false (there are two), which is consistent with A being a liar. So both scenarios ar"
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 8.6,
      "brief_justification": "The case analysis is correctly executed and clearly presented. The model correctly identifies both valid configurations, which is technically accurate—both are logically consistent. However, many versions of this puzzle expect a unique solution (Possibility 1: A=T, B=L, C=L), and the model could have discussed whether the puzzle intends a unique answer. For part 2, the double-ask question is the classic correct approach and is well-explained with a clear truth table. The presentation is excellen"
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 5.6,
      "brief_justification": "The logical analysis for Part 1 is correct - both scenarios are indeed consistent, and the model correctly identifies this ambiguity. However, the response is incomplete: it cuts off mid-sentence and never finishes Part 1's conclusion, nor does it address Part 2 (the treasure question) at all. The reasoning is thorough but repetitive, cycling through the same cases multiple times. The lack of a Part 2 answer significantly hurts completeness and usefulness."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 0.65,
      "brief_justification": "The response is incomplete and cuts off mid-sentence, so it does not solve either part of the problem. What little is present is not enough to verify the reasoning or provide a usable answer."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 3,
      "brief_justification": "The response correctly notices two consistent assignments exist, but it is unfinished, repetitive, and fails to resolve part (2). It also does not clearly state that part (1) is not uniquely determined from the given statements alone."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 5.15,
      "brief_justification": "Well-structured and reasonably clear, but it incorrectly treats Part 1 as having an intended unique solution after correctly finding two consistent assignments. The one-question method is valid in spirit, but the answer undermines reliability by claiming a specific identity assignment that is not determined."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 4.15,
      "brief_justification": "The response is clearly written but logically flawed: it incorrectly rejects the valid solution where A is truthful, and its final assignment makes C a liar despite uttering a true statement. Part (2) gives a workable question only because it assumes B is known to be truthful; it does not properly address the puzzle under the correct classification."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 7.5,
      "brief_justification": "Clear and well-structured, and the yes/no question strategy is valid. However, part (1) does not uniquely determine roles; the response correctly identifies both consistent assignments, which conflicts with the prompt's implication of a unique determination but is logically accurate. Overall useful, with solid reasoning and practical applicability."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 5.7,
      "brief_justification": "The response is clearly structured and gives a workable one-question strategy, but Part (1) is logically inconsistent: the actual identities are A truth-teller, B liar, C liar, not A liar, B truth-teller, C liar. It also contradicts itself by deriving C as a truth-teller in Scenario 2 but concluding C is a liar."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 8.8,
      "brief_justification": "Accurately identifies that the identities are not uniquely determined and gives both valid configurations. The one-question strategy is correct and practical, though the claim that we do not know which person we are speaking to is unnecessary and slightly imprecise."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 4.1,
      "brief_justification": "The response correctly observes that the identity puzzle has two consistent solutions, but it is incomplete and cut off before finishing, and it never answers part (2) about the yes/no treasure question. Clarity is decent in the explored reasoning, but overall usefulness is low because the main practical second part is missing."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 2.85,
      "brief_justification": "The response is incomplete and cuts off mid-sentence, failing to solve either part of the puzzle. It starts basic logical analysis but provides no conclusions or question for part 2."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 4.2,
      "brief_justification": "The response correctly identifies two consistent scenarios but fails to resolve the puzzle to a unique solution as required by part (1), and provides no answer at all for part (2) about the treasure question. It is incomplete and not useful for solving the full problem."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 5.2,
      "brief_justification": "Part 1 incorrectly claims two consistent solutions when only Case 2 (A liar, B and C truth-tellers) is logically valid; Case 1 leads to contradiction on number of truth-tellers. Part 2 question is overly complex and doesn't leverage the actual identities; simpler questions to known types exist. Analysis shows some insight but factual errors undermine accuracy and utility."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 8.3,
      "brief_justification": "The analysis correctly identifies the two consistent scenarios for the islanders' types. The double negation question is a valid way to get truthful info from either type, though the response overlooks that the two scenarios allow selecting a reliable person (e.g., B or C) for a simpler question, making the 'ask anyone' approach less optimal."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 4.55,
      "brief_justification": "The response incorrectly concludes there are two consistent solutions for part (1), but only Case 1 is valid because Case 2 leads to a contradiction with A's statement about \"exactly one.\" The double-liar case is impossible. Part (2) question is a valid classic but the response claims it works despite the flawed part (1) analysis and doesn't address needing to resolve the actual identities."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 5.35,
      "brief_justification": "Part 1 has incorrect identities (claims A liar/B truth/C liar but actual solution is A truth/B liar/C liar) and flawed scenario analysis; part 2 gives a valid classic double-question but incorrectly claims it works with any person and suggests asking B specifically, mixing approaches."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 5.95,
      "brief_justification": "The logic puzzle solution is incorrect: only one consistent assignment exists (A=T, B=L, C=L). The second case contains a contradiction because C=T would require B=T, but B=T saying A is a liar would be false, violating B being truthful. The proposed question works in principle for a random speaker but is not optimally tailored to the actual identities or the two hypothetical scenarios presented."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 8.5,
      "brief_justification": "The response correctly identifies the two consistent scenarios (A truth-teller with B/C liars, or A liar with B/C truth-tellers) with thorough case analysis and logical chains. It is clear and well-structured but incomplete as it cuts off mid-sentence before addressing part (2) of the question about the yes/no question for the treasure."
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 2.3,
      "brief_justification": "The response is severely incomplete, cutting off mid-analysis. It begins a logical approach but fails to complete Part 1 and never addresses Part 2 at all. The partial work shown is methodologically sound but the response provides almost no value in its truncated state."
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 5.3,
      "brief_justification": "The response correctly identifies both possible scenarios through systematic analysis, but fails to reach a definitive conclusion for Part 1 - it gets stuck noting both scenarios seem valid without resolving the ambiguity. The response never addresses Part 2 (the treasure question) at all, which is a major omission. The analysis is methodical but incomplete, and the response trails off mid-sentence."
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 8.1,
      "brief_justification": "The response correctly identifies both consistent solutions in Part 1 and acknowledges the ambiguity, though it somewhat awkwardly defaults to Case 1 as 'intended' without fully justifying why. The Part 2 solution is excellent — the biconditional question is a classic and correct approach that works regardless of the person's type, and the truth table demonstration is clear and convincing. The response is well-structured and practically useful."
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 8.8,
      "brief_justification": "The response correctly identifies both consistent solutions and properly explains why the identities are not uniquely determined. The classic self-referential question for part 2 is correctly explained with the double-negation logic. The answer is well-structured, logically sound, and practically useful."
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 5.15,
      "brief_justification": "The logic contains a critical error. The response correctly identifies A=liar, B=truth-teller, C=liar, but the reasoning is flawed and self-contradictory. The response first claims A=truth-teller is consistent (it is), then dismisses it as 'trivial' for part 2 rather than showing it's actually inconsistent. In fact, A=truth-teller IS consistent logically, so the puzzle has two solutions unless the response properly eliminates one. The actual elimination should come from logical deduction, not fr"
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 9,
      "brief_justification": "The response correctly identifies A as Liar, B as Truth-teller, C as Liar with clear step-by-step reasoning. The logical deduction is sound and well-structured. For Part 2, the self-referential question technique is correctly explained and works universally for any person. Minor note: since B is identified as the truth-teller, simply asking B directly would be the simplest solution, but the universal question approach is more elegant and demonstrates deeper understanding. Overall an excellent, t"
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 8.3,
      "brief_justification": "The response correctly identifies both possible solutions and explains the logic clearly. However, it misses that the puzzle likely has a unique solution - Case 1 (A=T, B=L, C=L) is actually the only valid solution because in Case 2, if A=L, B=T, C=T, then A's statement 'exactly one of us is a truth-teller' is false (there are two), which is consistent with A being a liar. So both cases are indeed valid, and the response correctly notes the ambiguity. The treasure question solution using the dou"
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 6.9,
      "brief_justification": "The response correctly identifies both valid scenarios and shows good logical reasoning. However, it fails to reach a definitive conclusion for Part 1 (the puzzle does have two valid solutions, which the response correctly identifies but seems confused about). More critically, the response is cut off before completing Part 2 (the treasure question), which is a significant omission that severely impacts usefulness and completeness."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 3.55,
      "brief_justification": "Response is incomplete and cuts off mid-analysis; Part 1 is unfinished and Part 2 is missing entirely."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 6.4,
      "brief_justification": "Identified two possible scenarios but failed to resolve the ambiguity; part 2 answer is incomplete and lacks a specific question."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 8.6,
      "brief_justification": "Accurate solution with clear reasoning; Part 1 correctly identifies ambiguity but settles on standard answer; Part 2 provides a robust, actionable question."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 6.9,
      "brief_justification": "Part 1 is correct but misses a key logical constraint making the solution unique. Part 2 is correct and useful. Structure is clear."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 6.75,
      "brief_justification": "Part (1) has a logical error in the first assumption, but the final answer is correct. Part (2) question is valid but unnecessarily complex given the known truth-teller."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 7.1,
      "brief_justification": "Part (1) is incorrect as only one solution is valid; Part (2) is correct and well-explained."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 9,
      "brief_justification": "Accurate case analysis showing two possible configurations; clear explanation of the double-ask question; thorough and actionable."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 5.65,
      "brief_justification": "Incorrectly concluded two scenarios exist; only one is logically consistent. Part 2 is incomplete and lacks a specific question."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 1.85,
      "brief_justification": "The answer is cut off and does not provide a full solution for either part of the problem, making it largely incorrect, incomplete, and of limited practical value."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 5.05,
      "brief_justification": "The response analyzes the statements well and shows logical depth, but it fails to provide a definitive solution for part (1) and does not answer part (2) at all, making it incomplete and of limited practical use."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 7.75,
      "brief_justification": "Clear analysis of both scenarios, but the final answer for part 1 is not definitively justified; part 2 provides a solid, actionable question."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 9.25,
      "brief_justification": "Accurately identifies both consistent assignments and explains why they are not unique; provides a correct, well-explained yes/no question that works for any person, presented clearly and usefully."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 4.35,
      "brief_justification": "The answer misidentifies the truth-teller/liar configuration, making the solution inconsistent and the proposed question unreliable; however it does address both parts with clear wording."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 8.8,
      "brief_justification": "Accurately identifies both valid assignments and gives a correct universal yes/no question, with clear explanation and useful actionable advice."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 7.1,
      "brief_justification": "Part 1 contains a logical error (C cannot be a liar under the given assignment), reducing factual accuracy, but the explanation is clear and thorough; part 2 correctly presents a classic yes/no question that works for any islander, making the response useful despite the earlier mistake."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 4.65,
      "brief_justification": "The answer correctly analyzes the logical possibilities for part 1 but fails to provide a unique solution and completely omits the required yes/no question for part 2, making it incomplete and of limited practical use."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 6.1,
      "brief_justification": "The model correctly identifies the two possible scenarios but fails to resolve the ambiguity to a single solution, which is typically expected in these puzzles. The second part of the question (the treasure hunt) is not addressed at all."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 7.45,
      "brief_justification": "The response correctly identifies the two possible scenarios for Part 1, though it struggles to pick a unique one, which is a common pitfall. The solution for Part 2 is excellent and well-explained."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 9.45,
      "brief_justification": "The response correctly identifies the two possible scenarios for the truth-tellers/liars and provides the classic, effective solution for the treasure question. It's very clear and well-explained."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 8.85,
      "brief_justification": "The response correctly identifies the roles of A, B, and C, and provides a valid question for the second part. The reasoning is clear and well-explained, especially the 'double question' logic."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 8.55,
      "brief_justification": "The response correctly identifies the two possible scenarios for the truth-tellers/liars. It then provides the classic self-referential question that works regardless of who is asked or their type, which is a very good solution to the second part of the problem. The explanation for why the question works is clear and well-structured. The only minor issue is that it doesn't explicitly state that both solutions for Part 1 are equally valid and there's no way to distinguish between them with the gi"
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 9.85,
      "brief_justification": "The response correctly identifies the identities of A, B, and C with clear and logical reasoning. It also provides the classic, robust solution for the treasure question, explaining why it works for both truth-tellers and liars."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 9,
      "brief_justification": "The response correctly identifies the two possible scenarios for the truth-tellers/liars and provides a classic, effective solution for the treasure question. The explanation is clear and well-structured."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 1.85,
      "brief_justification": "Response is incomplete - cuts off mid-sentence and never finishes Part 1 analysis or addresses Part 2 about the treasure question at all."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 5.55,
      "brief_justification": "Correctly identifies two possible scenarios for Part 1, but fails to reach definitive conclusion and completely omits Part 2 (treasure question)."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 8.1,
      "brief_justification": "Part 1 correctly identifies both valid scenarios but arbitrarily picks one without proper resolution. Part 2 provides an excellent self-referential question using biconditional logic that works regardless of who is asked. The explanation is clear and well-structured."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 9.05,
      "brief_justification": "Correctly identifies both valid solutions to the logic puzzle and provides a proper self-referential question that works for both liars and truth-tellers. Well-structured and explains the reasoning clearly."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 4.95,
      "brief_justification": "Incorrect solution for Part 1: A is actually a truth-teller (not a liar). The response's 'verification' contains a logical error - if there is exactly 1 truth-teller (B), then A's statement 'Exactly one of us is a truth-teller' would be TRUE, contradicting A being a liar. Part 2 question is also problematic - the double-negation trick doesn't work as described when we already know B is a truth-teller (the simpler direct question would work)."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 9.8,
      "brief_justification": "Correctly identifies both valid solutions for Part 1 and provides the classic self-referential question for Part 2. Well-organized with clear explanations and tables showing why both scenarios work and how the double-negation question functions."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 9,
      "brief_justification": "Correctly identifies both possible solutions to the logic puzzle with thorough case analysis. The self-referential question for part 2 is the classic correct solution. Well-structured with clear tables and explanations."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 7.2,
      "brief_justification": "Correctly identifies both valid scenarios for Part 1 with excellent logical depth and clarity. However, the response is incomplete as it cuts off and never addresses Part 2 (the treasure question), making it only about 50% useful overall."
    }
  ],
  "meta": {
    "source": "The Multivac (app.themultivac.com)",
    "methodology": "10x10 blind peer matrix evaluation",
    "criteria": "correctness, completeness, clarity, depth, usefulness",
    "self_judgments": "excluded from rankings",
    "license": "Open data — cite as: The Multivac (2026)"
  }
}