{
  "evaluation_id": "EVAL-20260402-153103",
  "question_id": "REASON-002",
  "question_text": "Five people (Alice, Bob, Carol, Dave, Eve) need to schedule meetings. Use these clues to determine who meets with whom on which day:\n\n1. Each person has exactly one meeting per day (Mon-Fri)\n2. Each meeting involves exactly two people\n3. No person meets with the same person twice during the week\n4. Alice meets with Bob before she meets with Carol\n5. Dave's meeting with Eve is exactly two days after Bob's meeting with Carol\n6. Carol doesn't have any meetings on Monday or Friday\n7. Eve meets with Alice on Wednesday\n8. Bob's meeting with Dave is the day after Alice's meeting with Dave\n9. The Monday meeting involves neither Dave nor Eve\n\nCreate a complete schedule showing all meetings for the week.",
  "category": "reasoning",
  "timestamp": "2026-01-21T00:00:00.000Z",
  "display_date": "Jan 21, 2026",
  "winner": {
    "name": "GPT-5.4",
    "provider": "openrouter",
    "score": 8.91
  },
  "avg_score": 4.2625,
  "matrix_size": 68,
  "models_used": [
    {
      "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": "gemini_25_flash",
      "name": "Gemini 2.5 Flash",
      "provider": "openrouter"
    },
    {
      "id": "gemini_31_pro",
      "name": "Gemini 3.1 Pro",
      "provider": "openrouter"
    }
  ],
  "rankings": {
    "gpt_5_4": {
      "display_name": "GPT-5.4",
      "provider": "openrouter",
      "average_score": 8.91,
      "score_count": 9,
      "min_score": 7.3,
      "max_score": 10,
      "rank": 1
    },
    "grok_420": {
      "display_name": "Grok 4.20",
      "provider": "openrouter",
      "average_score": 5.69,
      "score_count": 9,
      "min_score": 3.55,
      "max_score": 10,
      "rank": 2
    },
    "gemini_25_flash": {
      "display_name": "Gemini 2.5 Flash",
      "provider": "openrouter",
      "average_score": 3.93,
      "score_count": 9,
      "min_score": 2.2,
      "max_score": 6.75,
      "rank": 3
    },
    "claude_opus_46": {
      "display_name": "Claude Opus 4.6",
      "provider": "openrouter",
      "average_score": 3.59,
      "score_count": 9,
      "min_score": 2.2,
      "max_score": 6,
      "rank": 4
    },
    "claude_sonnet_46": {
      "display_name": "Claude Sonnet 4.6",
      "provider": "openrouter",
      "average_score": 3.49,
      "score_count": 9,
      "min_score": 1.6,
      "max_score": 5.75,
      "rank": 5
    },
    "mimo_v2_flash": {
      "display_name": "MiMo-V2-Flash",
      "provider": "Xiaomi",
      "average_score": 3.47,
      "score_count": 7,
      "min_score": 1.8,
      "max_score": 6.8,
      "rank": 6
    },
    "deepseek_v4": {
      "display_name": "DeepSeek V4",
      "provider": "openrouter",
      "average_score": 2.54,
      "score_count": 8,
      "min_score": 1.05,
      "max_score": 3.95,
      "rank": 7
    },
    "gemini_31_pro": {
      "display_name": "Gemini 3.1 Pro",
      "provider": "openrouter",
      "average_score": 2.48,
      "score_count": 8,
      "min_score": 1.3,
      "max_score": 4.25,
      "rank": 8
    }
  },
  "judgments": [
    {
      "judge_key": "gemini_31_pro",
      "judge_name": "Gemini 3.1 Pro",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 3.95,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_31_pro",
      "judge_name": "Gemini 3.1 Pro",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 4.55,
      "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": "The model correctly identified a fundamental mathematical impossibility in the prompt's constraints (5 people cannot be paired into 2-person meetings where everyone has exactly one meeting per day) and clearly explained the issue while offering constructive alternatives."
    },
    {
      "judge_key": "gemini_31_pro",
      "judge_name": "Gemini 3.1 Pro",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 3.95,
      "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": 4.1,
      "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": 2.4,
      "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": 2.8,
      "brief_justification": ""
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 2.8,
      "brief_justification": "Incomplete response with logical inconsistencies and lack of a solution."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 6,
      "brief_justification": "The response struggles with initial misinterpretations but eventually arrives at a plausible solution. Clarity suffers due to the convoluted reasoning process."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 9.25,
      "brief_justification": "Correctly identifies the logical inconsistency and explains it clearly."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 8.4,
      "brief_justification": "Logical and thorough, but minor inconsistency noted."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 5.75,
      "brief_justification": "Struggles with logical consistency and completeness, but shows effort in structuring the problem."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 6.8,
      "brief_justification": "Logical deductions are mostly correct but contain some errors in scheduling. Clear and structured but lacks full accuracy."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 6.75,
      "brief_justification": "Logical approach but incomplete 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": 1.3,
      "brief_justification": "The response fails to provide any schedule and incorrectly claims contradictions. With 5 people having one meeting per day, there are 2.5 meetings which is indeed problematic, but the puzzle likely intends 5 meetings total across the week (one per day, each involving 2 people), not that every person meets every day. The response is incomplete (appears cut off), provides no solution, and misinterprets the puzzle structure rather than attempting to solve it."
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 1.05,
      "brief_justification": "The response never arrives at a solution. It gets stuck in an extended loop of confusion about the problem interpretation and contradictions, never producing a complete schedule. The reasoning is disorganized and ultimately unproductive, providing no answer to the question asked."
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 7.55,
      "brief_justification": "The model correctly identifies a fundamental logical impossibility: 5 people cannot each have exactly one 2-person meeting per day, since that requires pairing all 5 people which is impossible with an odd number. This is a valid and important observation about the puzzle's constraints. However, many similar puzzles implicitly allow one person to be idle each day (i.e., not every person necessarily meets every single day), and the intended interpretation likely means each person has meetings acro"
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 5.6,
      "brief_justification": "The response demonstrates good reasoning and clear presentation, but arrives at an incorrect conclusion that the puzzle is unsolvable. The error stems from clue 9 interpretation and the Monday assignment: clue 9 says 'the Monday meeting' (singular) involves neither Dave nor Eve, but the respondent incorrectly placed Carol+Dave on Monday (violating clue 6 which says Carol doesn't meet on Monday). A valid schedule likely exists with different assignments. The respondent also violated their own sta"
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 1.6,
      "brief_justification": "The response never arrives at a complete or correct solution. It shows extensive working/reasoning but repeatedly hits contradictions and restarts without resolving them. The response cuts off mid-sentence without providing the requested complete schedule. While it demonstrates some understanding of constraint satisfaction, the inability to produce any final answer makes it essentially useless. The presentation of multiple failed attempts without a conclusion is confusing rather than illuminatin"
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 3,
      "brief_justification": "The response contains significant errors and contradictions. The schedule violates multiple constraints: (1) Each person should have exactly one meeting per day, but Tuesday shows two meetings (B-C and A-D) and Wednesday shows two meetings (A-E and B-D), meaning some people have meetings while others don't on certain days. (2) The problem states 'each person has exactly one meeting per day' for 5 days, but with 5 people and exactly 2-person meetings, you can only have 2 meetings per day (leaving"
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 2.65,
      "brief_justification": "The response never arrives at a complete schedule. It shows extensive working/reasoning but gets stuck in the middle of exploring options without producing a final answer. The problem asks to 'Create a complete schedule showing all meetings for the week' and the response fails to deliver this. While the logical approach and step-by-step reasoning demonstrate some depth, the work is incomplete and cuts off mid-analysis. The partial reasoning contains some valid deductions (Monday=A-B, Wednesday=A"
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 4.25,
      "brief_justification": "Correctly identifies a real parity/consistency issue in the puzzle and notes an apparent contradiction, but the response is truncated, does not complete the analysis, and fails to provide a schedule or a clear resolution."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 1.8,
      "brief_justification": "The response identifies a core inconsistency in the prompt but never resolves it, does not produce a schedule, and ends mid-sentence. Some reasoning is clear, but the answer is incomplete and not useful for the requested task."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 2.6,
      "brief_justification": "The response identifies inconsistencies in the puzzle setup, but its final schedule is invalid and violates multiple clues and core constraints, so it is not useful as a solution."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 5.15,
      "brief_justification": "The response is clear and reasonably structured, but it mishandles the core combinatorial setup: with five people and pair meetings, clue 1 is itself impossible if interpreted literally, and the proposed schedule includes an invalid unresolved Friday pairing while overlooking this fundamental inconsistency. It explores several constraints but does not fully or correctly analyze the puzzle's feasibility."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 1.8,
      "brief_justification": "The response does not produce a complete schedule and repeatedly misinterprets the core constraints. It explores cases with some structure, but the reasoning is inconsistent and ends unfinished, so it is not useful as an answer."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 1.8,
      "brief_justification": "The response is internally inconsistent, incomplete, and does not produce a valid schedule. It violates key constraints such as one meeting per person per day, Monday excluding Dave and Eve, and Carol having no meetings on Monday or Friday."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 2.2,
      "brief_justification": "The response is structured and shows some reasoning, but it is based on a flawed interpretation of the puzzle constraints, never reaches a valid complete schedule, and ends mid-solution. It is therefore largely incorrect and not useful for solving the problem."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 4.05,
      "brief_justification": "Identifies real logical inconsistency in the puzzle setup (odd number of people can't pair up daily) but fails to solve or provide any schedule, leaving the response incomplete and only partially useful."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 2.4,
      "brief_justification": "The response spends most of its length on a confused and incorrect interpretation of the puzzle constraints (misreading clue 1 as requiring one meeting per person per day instead of one meeting per person total across the week), leading to contradictions and no complete schedule. It identifies some pairwise constraints but fails to solve the actual problem."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 2.6,
      "brief_justification": "Response fundamentally misinterprets the problem (assumes all 10 pairs meet once with 2 meetings/day and 1 sitting out), leading to inconsistent schedule that violates clue 1 (each person exactly one meeting per day) and clue 2 (exactly two people per meeting). Schedule has overlapping meetings and missing pairs; clues like 4,5,8 not satisfied."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 9.25,
      "brief_justification": "The response correctly identifies the fundamental parity contradiction (odd number of people cannot all pair up daily), which invalidates the entire puzzle. It thoroughly explains the impossibility with clear logic and offers constructive next steps. Minor deduction for not exhaustively checking every clue for additional inconsistencies beyond the core flaw."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 3.45,
      "brief_justification": "The response correctly identifies key constraints and the round-robin structure (one person sits out daily) but fails to reach a valid complete schedule, contains multiple contradictions and incorrect assumptions (e.g., about Alice's meetings and Carol on Friday), and ends abruptly without a solution."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 3.6,
      "brief_justification": "The response contains multiple internal contradictions, incorrect deductions (e.g. wrong days for B-C and D-E), and an incomplete schedule that violates several clues and basic constraints like each person meeting once per day."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 4.4,
      "brief_justification": "The response contains multiple factual errors (e.g., claiming each person has 4 partners over 5 days, incorrect table formats, misinterpreting Clue 9) and fails to reach a complete valid schedule, though it shows logical steps and elimination attempts."
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 1.85,
      "brief_justification": "The response fails to solve the puzzle and instead raises objections that are largely incorrect or irrelevant. The claim that 5 people cannot all have exactly one meeting per day is wrong - with 5 people and one meeting per day, you'd have 2-3 meetings per day (pairs), which is feasible. The response is cut off mid-sentence and provides no actual schedule. It does not attempt to work through the clues systematically or provide any useful output."
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 2.65,
      "brief_justification": "The response fails to produce a complete schedule and gets lost in circular reasoning about the problem's interpretation. The AI misinterprets the constraints (clue 1 likely means each person meets exactly once per day in a round-robin style with 5 people having 5 meetings per day, or alternatively there are 5 meetings total one per day). The response never resolves the contradictions it identifies and provides no final answer, making it essentially useless for the user's actual need. While it s"
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 2.8,
      "brief_justification": "The response shows significant confusion throughout. The fundamental interpretation of the problem is wrong - the AI misunderstands 'each person has exactly one meeting per day' and struggles with basic combinatorics. The final schedule has multiple violations: Tuesday has both Alice-Carol and Bob-Carol but Alice-Bob was Monday (clue 4 says Alice meets Bob BEFORE Carol, which is satisfied, but Tuesday has two Carol meetings which is odd), Carol appears on Tuesday and Wednesday violating clue 6 ("
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 7.3,
      "brief_justification": "The response correctly identifies a genuine mathematical impossibility with 5 people needing to be paired into 2-person meetings each day. The logic is sound and clearly explained. However, the response fails to attempt a solution under a reasonable interpretation (e.g., that not all 5 people meet every day, or that 'exactly one meeting per day' means at most one). Many puzzle solvers would interpret the clues more flexibly and attempt a schedule. The response is technically correct but somewhat"
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 3.8,
      "brief_justification": "The AI makes a critical self-contradictory error: it explicitly states 'Monday cannot involve Dave or Eve' from clue 9, yet schedules Carol+Dave on Monday. This fundamental logical error invalidates the entire solution and the conclusion that the clues are inconsistent. The presentation is clear but the reasoning is fatally flawed."
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 3.65,
      "brief_justification": "The response presents a schedule at the top but it's internally inconsistent and incomplete. The reasoning section shows the AI getting confused and contradicting itself multiple times. The final schedule shown has Alice meeting Dave on Monday and Eve on Tuesday, but clue 7 says Eve meets Alice on Wednesday. The schedule lists 'Eve meets with Alice on Tuesday' which contradicts clue 7. The reasoning trails off mid-sentence without completing the solution. The presented schedule doesn't satisfy a"
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 3.25,
      "brief_justification": "The response starts with a reasonable approach but gets bogged down in contradictions and never produces a complete, valid schedule. The reasoning process is shown but leads to dead ends without resolution. The answer is incomplete - it trails off mid-analysis without reaching a final schedule. Several logical errors appear (e.g., mishandling the constraint that each person has exactly one meeting per day, which means 5 people have 2.5 meetings each day - actually the problem structure means the"
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 1.6,
      "brief_justification": "The response fails to solve the puzzle, incorrectly claiming a contradiction in the clues. It misunderstands the scheduling constraints (interpreting 'one meeting per day' as requiring an even number of participants, which is false for a schedule where individuals meet in pairs)."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 2.8,
      "brief_justification": "Response fails to solve the puzzle, contains logical contradictions, and does not provide a schedule. Interpretation of clues is confused and incomplete."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 3.8,
      "brief_justification": "The response contains multiple fundamental errors in reasoning and violates the constraints. It incorrectly assumes 10 meetings total, but each person must have exactly one meeting per day, meaning 5 meetings per day (25 total). The final schedule violates clue 7 (Eve-Alice on Wednesday) by having Alice meet twice on Wednesday, and clue 8 (Alice-Dave before Bob-Dave) is not satisfied. The reasoning is confused and the schedule is invalid."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 9.8,
      "brief_justification": "The model correctly identified the logical inconsistency in the puzzle's constraints (5 people cannot each have exactly one meeting per day if meetings are strictly pairwise), thereby preventing a valid schedule. This is a critical insight that demonstrates high correctness and depth."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 4,
      "brief_justification": "Incorrect conclusion; schedule violates clue 3 and misses valid solution; clarity is good but completeness and usefulness are low."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 4.45,
      "brief_justification": "Response contains logical errors, contradictions, and fails to produce a valid schedule; interpretation of constraints is inconsistent and solution is incomplete."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 3,
      "brief_justification": "The response fails to solve the puzzle, getting stuck in a loop and concluding it is flawed. It provides an incomplete schedule and does not meet the requirement of a 'complete schedule'."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 1.6,
      "brief_justification": "Response is incomplete, lacks the required schedule, and does not adequately address the puzzle; only a brief, unfinished analysis is given."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 2.4,
      "brief_justification": "The response fails to produce a correct or complete schedule and shows misunderstanding of the puzzle constraints, offering limited useful insight."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 2.6,
      "brief_justification": "The schedule violates the key constraint that each person meets exactly once per day and contains logical inconsistencies, making it largely incorrect and of limited practical value."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 8.55,
      "brief_justification": "Accurately identifies the logical inconsistency and explains it clearly, covering the core issue and offering helpful next steps."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 3.55,
      "brief_justification": "The answer incorrectly constructs a schedule that violates several clues and fails to provide a valid complete schedule, though the explanation is relatively clear."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 2.4,
      "brief_justification": "The answer fails to produce a complete, correct schedule and leaves many contradictions unresolved, offering only partial reasoning without a final solution."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 4.05,
      "brief_justification": "The answer shows some logical steps but stops short of delivering a full schedule, making it incomplete and only partially correct."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 2.2,
      "brief_justification": "The model struggles significantly with the core constraints of the problem, particularly the number of meetings per day and the 'one meeting per person per day' rule. It makes several incorrect assumptions and fails to produce a valid schedule. The final schedule presented does not satisfy the given clues."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 10,
      "brief_justification": "The model correctly identifies the fundamental flaw in the puzzle's premise, explaining why a solution is impossible. It clearly articulates the logical inconsistency and offers constructive ways to resolve it."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 10,
      "brief_justification": "The model correctly identifies the inconsistency in the clues and provides a detailed, step-by-step explanation of how it arrived at that conclusion. The schedule provided is the most complete possible given the constraints, and the explanation is exceptionally clear and well-reasoned."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 3.05,
      "brief_justification": "The model struggles significantly with the core constraints, particularly the 'one meeting per day' and 'no repeats' rules. It misinterprets the problem setup, leading to a failed attempt at a solution. The 'clean restart' acknowledges a misinterpretation but doesn't lead to a correct path."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 3.05,
      "brief_justification": "The model's final schedule is incorrect and incomplete. The step-by-step logic contains multiple errors and contradictions, leading to an incorrect solution. It fails to correctly apply several constraints and gets stuck in a loop of re-evaluating its own deductions."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 2.35,
      "brief_justification": "Response identifies a valid contradiction in the puzzle but is severely incomplete - cuts off mid-sentence and provides no actual schedule."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 3.25,
      "brief_justification": "Response shows confusion about the puzzle constraints and fails to solve it. Incorrectly interprets 'each person has exactly one meeting per day' as contradictory when it's straightforward. Gets partway through logic but abandons without reaching solution. No complete schedule provided."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 5.15,
      "brief_justification": "The response shows good analytical effort and correctly identifies the 10 unique pairs needed. However, the final schedule is INCORRECT: on Tuesday, Alice appears in both meetings (Alice-Carol and Bob-Carol), violating the 'one meeting per day per person' rule. Similarly, Carol is in two meetings on Tuesday. The response also fails to verify all clues against the final schedule, missing that clue 4 (Alice-Bob before Alice-Carol) is violated since Alice-Bob is Monday and Alice-Carol is Tuesday - "
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 8.5,
      "brief_justification": "Correctly identifies the mathematical impossibility (5 people cannot all have meetings in pairs each day). Clear explanation of the parity problem. Offers constructive next steps. Could explore clues more deeply for additional contradictions."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 6.8,
      "brief_justification": ""
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 4.8,
      "brief_justification": "Reasoning shows good analytical effort but ends abruptly without providing the final complete schedule. The round-robin interpretation is correct but the solution is incomplete."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 6.25,
      "brief_justification": "The response shows strong logical reasoning and correctly identifies key constraints, but fails to reach a complete solution. It correctly deduces Monday is A-B and Wednesday is A-E, and makes progress on the puzzle but leaves the analysis incomplete without providing the final schedule."
    }
  ],
  "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)"
  }
}