{
  "evaluation_id": "EVAL-20260207-133004",
  "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": "OLMo Think",
    "provider": "Allen AI",
    "score": 9.15
  },
  "avg_score": 5.217,
  "matrix_size": 90,
  "models_used": [
    {
      "id": "gemini_3_pro",
      "name": "Gemini 3 Pro Preview",
      "provider": "Google"
    },
    {
      "id": "gemini_3_flash",
      "name": "Gemini 3 Flash Preview",
      "provider": "Google"
    },
    {
      "id": "claude_sonnet",
      "name": "Claude Sonnet 4.5",
      "provider": "Anthropic"
    },
    {
      "id": "deepseek_v3",
      "name": "DeepSeek V3.2",
      "provider": "DeepSeek"
    },
    {
      "id": "claude_opus",
      "name": "Claude Opus 4.5",
      "provider": "Anthropic"
    },
    {
      "id": "gemini_2_5_flash",
      "name": "Gemini 2.5 Flash",
      "provider": "Google"
    },
    {
      "id": "gpt_oss_120b",
      "name": "GPT-OSS-120B",
      "provider": "OpenAI"
    },
    {
      "id": "olmo_think",
      "name": "OLMo Think",
      "provider": "Allen AI"
    },
    {
      "id": "grok_direct",
      "name": "Grok 3 (Direct)",
      "provider": "xAI"
    },
    {
      "id": "mimo_v2_flash",
      "name": "MiMo-V2-Flash",
      "provider": "Xiaomi"
    }
  ],
  "rankings": {
    "olmo_think": {
      "display_name": "OLMo Think",
      "provider": "Allen AI",
      "average_score": 9.15,
      "score_count": 3,
      "min_score": 7.45,
      "max_score": 10,
      "rank": 1
    },
    "gpt_oss_120b": {
      "display_name": "GPT-OSS-120B",
      "provider": "OpenAI",
      "average_score": 8.03,
      "score_count": 8,
      "min_score": 3,
      "max_score": 10,
      "rank": 2
    },
    "claude_opus": {
      "display_name": "Claude Opus 4.5",
      "provider": "Anthropic",
      "average_score": 7.13,
      "score_count": 6,
      "min_score": 2.6,
      "max_score": 9.8,
      "rank": 3
    },
    "gemini_3_flash": {
      "display_name": "Gemini 3 Flash Preview",
      "provider": "Google",
      "average_score": 6.8,
      "score_count": 5,
      "min_score": 1.6,
      "max_score": 10,
      "rank": 4
    },
    "gemini_3_pro": {
      "display_name": "Gemini 3 Pro Preview",
      "provider": "Google",
      "average_score": 4.64,
      "score_count": 4,
      "min_score": 0.2,
      "max_score": 10,
      "rank": 5
    },
    "mimo_v2_flash": {
      "display_name": "MiMo-V2-Flash",
      "provider": "Xiaomi",
      "average_score": 4.51,
      "score_count": 6,
      "min_score": 3.6,
      "max_score": 6.1,
      "rank": 6
    },
    "grok_direct": {
      "display_name": "Grok 3 (Direct)",
      "provider": "xAI",
      "average_score": 4.07,
      "score_count": 7,
      "min_score": 3.2,
      "max_score": 6.7,
      "rank": 7
    },
    "gemini_2_5_flash": {
      "display_name": "Gemini 2.5 Flash",
      "provider": "Google",
      "average_score": 3.11,
      "score_count": 6,
      "min_score": 1.2,
      "max_score": 4.3,
      "rank": 8
    },
    "claude_sonnet": {
      "display_name": "Claude Sonnet 4.5",
      "provider": "Anthropic",
      "average_score": 2.45,
      "score_count": 7,
      "min_score": 0.6,
      "max_score": 3.65,
      "rank": 9
    },
    "deepseek_v3": {
      "display_name": "DeepSeek V3.2",
      "provider": "DeepSeek",
      "average_score": 2.28,
      "score_count": 7,
      "min_score": 0.6,
      "max_score": 3.2,
      "rank": 10
    }
  },
  "judgments": [
    {
      "judge_key": "grok_direct",
      "judge_name": "Grok 3 (Direct)",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 0,
      "brief_justification": "The response is missing entirely, with no attempt to provide a schedule or address the clues."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 1.6,
      "brief_justification": "The response fundamentally misunderstands the constraints of the puzzle. It assumes two meetings per day (requiring 10 meeting slots for 5 people over 5 days), but Clue 1 states 'Each person has exactly one meeting per day', which implies only 2.5 meetings per day (impossible for pairs) or a misunderstanding of the prompt. However, the response creates a schedule with two meetings per day, violating the 'one meeting per day' constraint if interpreted strictly as one slot, or creating a schedule where some people have two meetings on some days (e.g., Tuesday: Alice meets Dave, Bob meets Carol; Wednesday: Alice meets Eve, Bob meets Dave). This violates the 'exactly one meeting per day' rule for those individuals. Furthermore, the solution claims 'Carol no meetings Mon/Fri' is satisfied, but the schedule shows Carol meeting on Friday (Carol & Dave)."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 2.6,
      "brief_justification": "The response fundamentally misunderstands the problem constraints, incorrectly calculating that 5 people with 1 meeting each per day leads to 2.5 meetings per day, which it calls impossible. This reveals a failure to grasp that with 5 people, there will always be one person not meeting each day (2 meetings = 4 participants, 1 person sits out). The final proposed schedule is incomplete and contains contradictions (e.g., proposing 2 meetings on Wednesday for Bob)."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 1.95,
      "brief_justification": "The response fails to resolve the logical contradiction regarding the number of meetings per day (5 people x 1 meeting/day = 2.5 meetings/day), leading to an incorrect schedule structure. The final schedule is incomplete and contains factual errors (e.g., assigning meetings to days that violate clues like Carol's availability)."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 2.6,
      "brief_justification": "The response contains fundamental logical errors in interpreting the problem constraints (e.g., incorrectly concluding only 2 meetings per day, misunderstanding clue 9 about Monday meetings) and produces an invalid schedule where some people have meetings on days they shouldn't (Carol on Friday) and the total meeting count is inconsistent with the stated rules."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 0.2,
      "brief_justification": "The response is incorrect because it fails to satisfy multiple constraints: it schedules meetings on Saturday (outside Mon-Fri), violates the 'no person meets with the same person twice' rule (e.g., Alice meets Dave twice), and contradicts specific clues (e.g., Clue 7 states Eve meets Alice on Wednesday, but the schedule shows Eve meets Alice on Thursday)."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 1.2,
      "brief_justification": "The response fails to solve the puzzle, getting stuck in a contradiction loop and leaving the schedule incomplete. The reasoning contains a critical error: it assumes Monday must be A-B, but Clue 9 only excludes D and E, leaving A-B, A-C, or B-C as possibilities. This invalid assumption leads to the unsolvable state."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 3,
      "brief_justification": "The response incorrectly claims the puzzle is impossible due to a fundamental misunderstanding of the constraints. It fails to recognize that 'one meeting per day' means one slot, not that everyone must meet every day, and ignores the standard solution where one person sits out each day. Consequently, it provides no valid schedule."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "olmo_think",
      "respondent_name": "OLMo Think",
      "weighted_score": 10,
      "brief_justification": "The response correctly deduces the unique schedule satisfying all constraints. It identifies the only possible arrangement for Monday (Alice-Carol), determines the Tuesday conflict between Alice-Bob and Carol-Dave, resolves it by placing Carol-Dave on Tuesday and Alice-Bob on Wednesday (alongside Eve-Alice), and correctly places the remaining meetings (Bob-Eve on Thursday, Dave-Alice on Friday) to satisfy all conditions."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "grok_direct",
      "respondent_name": "Grok 3 (Direct)",
      "weighted_score": 3.2,
      "brief_justification": "The response fails to produce a valid schedule because it misinterprets Clue 9 (Monday meetings involve neither Dave nor Eve) and contradicts itself regarding who is 'off' on specific days. The solver gets stuck on Thursday because Dave cannot be off twice, a logical error arising from the earlier misinterpretation."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 4.6,
      "brief_justification": "The response fails to provide a logically valid schedule. It violates Clue 3 (Carol meets Dave twice, on Monday and Friday) and Clue 9 (Dave is listed as meeting Carol on Monday, despite the clue stating Monday involves neither Dave nor Eve). The logic section acknowledges these conflicts but fails to resolve them, ultimately providing a flawed final answer."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 3.2,
      "brief_justification": "The model correctly identifies that the puzzle is mathematically impossible as stated (5 people cannot each have exactly one meeting per day because 5 is odd). However, it fails to provide a complete or consistent schedule, leaving several days unfinished and containing internal contradictions in its final attempt."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 3.05,
      "brief_justification": "The model correctly identifies a mathematical impossibility in the prompt's constraints (5 people, 1 meeting each per day, 2 people per meeting) but fails to provide a completed schedule as requested. Instead of attempting to solve the puzzle by making a reasonable assumption or identifying a potential typo in the prompt's constraints, it stops after a lengthy analysis of the contradictions."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 9.8,
      "brief_justification": "The model correctly identifies that with an odd number of people, one person must sit out each day. It successfully navigates the logic constraints to provide a schedule that satisfies all nine clues perfectly."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 0,
      "brief_justification": "The model provided an empty response, failing to address the logic puzzle or provide any part of the requested schedule."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 3,
      "brief_justification": "The response fails to provide a complete schedule, cutting off mid-sentence. Furthermore, it incorrectly concludes that a conflict exists and that certain days are impossible, when a valid solution actually exists."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 10,
      "brief_justification": "The model correctly identifies that the puzzle is mathematically impossible because an odd number of people (5) cannot all have exactly one meeting involving two people on the same day. It provides a thorough logical breakdown of why the constraints contradict each other."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "olmo_think",
      "respondent_name": "OLMo Think",
      "weighted_score": 0,
      "brief_justification": "The model provided an empty response, failing to address the logic puzzle or provide any information whatsoever."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "grok_direct",
      "respondent_name": "Grok 3 (Direct)",
      "weighted_score": 3.6,
      "brief_justification": "The response fails to provide a complete schedule as requested, cutting off mid-derivation. Furthermore, it contains a logical error regarding Clue 9; the clue states the Monday meeting involves neither Dave nor Eve, which means they are both off or one is off and the other is not in 'the' meeting, but the model fails to realize that with 5 people and 2 meetings per day, only one person is 'off' each day, making the clue's premise impossible under its own interpretation."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 4.4,
      "brief_justification": "The response violates Clue 3 (Carol meets Dave twice: Monday and Friday) making the solution incorrect, though the detailed logical reasoning process shows good analytical depth and the attempt to work through constraints systematically demonstrates strong problem-solving approach."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 4.2,
      "brief_justification": "The response correctly identifies the 5-person constraint issue and shows good logical reasoning, but violates Clue 6 by having Carol meet on Friday (Carol & Dave meeting), which directly contradicts the constraint that Carol has no meetings on Friday. The verification incorrectly claims compliance with this clue."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 2.25,
      "brief_justification": "The response correctly identifies logical contradictions in the puzzle constraints but fails to provide any actual solution or complete schedule as requested. It shows analytical depth in exploring the contradictions but delivers no useful answer to the question."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 9.15,
      "brief_justification": "The solution correctly interprets the puzzle constraints and arrives at a valid schedule that satisfies all clues. The reasoning process shows some initial confusion but self-corrects, and the final answer is verified against all constraints. Minor deduction for the somewhat meandering explanation, but the complete schedule and verification are excellent."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 0,
      "brief_justification": "No response was provided to evaluate. The response field is completely empty, offering no attempt to solve the logic puzzle or create the requested meeting schedule."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 3.65,
      "brief_justification": "The response shows good logical reasoning and systematic constraint analysis, but fails to reach a complete solution. It correctly identifies several key meetings but gets stuck in contradictions and doesn't provide the final schedule requested."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 9.35,
      "brief_justification": "The response correctly identifies the fundamental mathematical impossibility (5 people cannot all have exactly one meeting per day when meetings require pairs), provides clear logical analysis with well-structured tables, and offers practical solutions to make the puzzle solvable."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "olmo_think",
      "respondent_name": "OLMo Think",
      "weighted_score": 0,
      "brief_justification": "No response was provided to evaluate. The response field is completely empty, offering no attempt to solve the scheduling puzzle or address any aspect of the question."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "grok_direct",
      "respondent_name": "Grok 3 (Direct)",
      "weighted_score": 6.7,
      "brief_justification": "The response demonstrates strong logical reasoning and systematic constraint analysis, but fails to provide a complete final schedule despite extensive work. The approach is methodical and shows deep understanding of constraint satisfaction problems, but lacks the crucial deliverable - a verified complete solution."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 6.1,
      "brief_justification": "The response demonstrates strong logical depth by exploring multiple scenarios and constraints, but it fails to produce a final, correct schedule due to a critical misinterpretation of the puzzle's structure regarding daily meetings, which undermines its correctness and completeness."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 10,
      "brief_justification": "The response correctly deduces a consistent schedule that satisfies all constraints, presents a clear step-by-step logical derivation, and includes a thorough verification table to confirm each clue."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 2.45,
      "brief_justification": "The response contains logical contradictions and fails to produce a valid schedule that satisfies all constraints, showing poor understanding of the problem structure and incomplete reasoning."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 9.25,
      "brief_justification": "The response correctly solves the scheduling puzzle with a logically consistent schedule that satisfies all constraints, thoroughly explains the reasoning process, and presents the final schedule clearly for verification."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 10,
      "brief_justification": "The response provides a fully correct, logically derived schedule that satisfies all given constraints, is presented clearly in a table format, and includes a step-by-step reasoning process that demonstrates thorough problem-solving."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 3.45,
      "brief_justification": "The response shows a structured attempt but contains logical contradictions and fails to produce a complete, consistent schedule, indicating significant errors in reasoning and an incomplete solution."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 10,
      "brief_justification": "The response correctly identifies the logical impossibility of the puzzle due to an odd number of people requiring meetings each day, thoroughly explains each contradiction, and offers clear, actionable modifications to make it solvable."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "olmo_think",
      "respondent_name": "OLMo Think",
      "weighted_score": 10,
      "brief_justification": "The response provides a logically consistent and complete schedule that satisfies all given constraints, clearly presented in a structured table format for easy verification."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "grok_direct",
      "respondent_name": "Grok 3 (Direct)",
      "weighted_score": 3.75,
      "brief_justification": "The response demonstrates a clear, structured approach but contains critical logical errors and contradictions (e.g., misinterpreting Clue 9, assigning multiple 'off' days per person, and an incomplete/inconsistent final schedule), resulting in low correctness and completeness."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 4,
      "brief_justification": "The response presents a schedule but contains errors - Carol meets Dave on both Monday and Friday, violating Clue 3 (no person meets the same person twice). The response shows extensive reasoning work but gets cut off mid-sentence and fails to resolve the contradictions it identifies. While the logical analysis demonstrates depth in exploring the problem, the final answer is incorrect and the response is incomplete."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 9.2,
      "brief_justification": "The solution correctly interprets the puzzle constraints, recognizing that with 5 people and pair meetings, one person must be idle each day. The logical deduction is sound, the final schedule satisfies all 9 clues as verified, and the presentation with a clear table and step-by-step reasoning is excellent. Minor deduction for some slightly confusing notation in the reasoning steps."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 2.8,
      "brief_justification": "The response shows genuine effort to work through the logic puzzle but fails to reach a correct, consistent solution. The model correctly identifies the mathematical impossibility (5 people with 1 meeting each = 2.5 meetings/day) but doesn't resolve it properly. The final answer is incomplete, internally contradictory, and violates stated constraints. Multiple restarts and crossed-out attempts make the response confusing rather than helpful."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 3.05,
      "brief_justification": "The response demonstrates good analytical thinking by identifying apparent contradictions in the puzzle constraints, but it fails to complete the task. The response gets stuck in constraint analysis and never produces the requested schedule. While the reasoning process is clearly shown, the answer is incomplete and ultimately unhelpful for solving the actual problem."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 0.9,
      "brief_justification": "The response is completely empty - no schedule or solution was provided. The question asked for a complete meeting schedule based on logical constraints, but nothing was delivered."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 3.05,
      "brief_justification": "The response shows detailed logical reasoning and constraint analysis, but fails to produce a complete schedule. The work is cut off mid-sentence, leaving the problem unsolved. While the methodology demonstrates good problem-solving approach, the response doesn't deliver the requested output - a complete meeting schedule for the week."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 3.6,
      "brief_justification": "The response fundamentally misinterprets the puzzle. Condition 1 means each person has one meeting per day, but there can be multiple meetings happening simultaneously each day (not just one meeting total). With 5 people meeting in pairs, you'd have 2 meetings per day (4 people) with 1 person sitting out - which is actually compatible with the constraints. The model's claim of mathematical impossibility is based on a flawed reading, making the entire analysis incorrect despite being well-structured and clearly presented."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "olmo_think",
      "respondent_name": "OLMo Think",
      "weighted_score": 0,
      "brief_justification": "The response is completely empty - no attempt was made to solve the logic puzzle or provide any schedule. No content was provided to evaluate."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "grok_direct",
      "respondent_name": "Grok 3 (Direct)",
      "weighted_score": 3.65,
      "brief_justification": "The response demonstrates good systematic reasoning and clear step-by-step methodology, but fails to complete the schedule and ends mid-solution with an unresolved contradiction. The interpretation of Clue 9 appears incorrect (it likely means neither Dave nor Eve participates in Monday meetings at all), and the response never delivers the requested complete schedule, making it largely unhelpful for answering the actual question."
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 10,
      "brief_justification": "The model correctly identifies that the puzzle is mathematically impossible because 5 people cannot form pairs such that everyone meets every day. It provides a clear, detailed explanation of the contradictions."
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "olmo_think",
      "respondent_name": "OLMo Think",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "grok_direct",
      "respondent_name": "Grok 3 (Direct)",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 0,
      "brief_justification": "The provided solution is incorrect and the step-by-step logic contains critical misinterpretations of the rules, leading to a flawed schedule. The model gets stuck in a loop trying to interpret a rule that is actually straightforward."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 0,
      "brief_justification": "The model fundamentally misunderstands the problem. It states that 'one person is always idle each day' and then proceeds to create a schedule where two meetings occur daily, meaning four people are occupied and one is idle. This contradicts the initial setup of 'Each person has exactly one meeting per day' and 'Each meeting involves exactly two people' for a group of five people. The problem implies a round-robin tournament structure, not a scenario where people are idle. The generated schedule is internally inconsistent and does not follow the problem's constraints."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 0.6,
      "brief_justification": "The model fails to provide a correct or complete schedule. It struggles with the core constraints and gets stuck in a loop of re-evaluating its own incorrect assumptions."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 0.6,
      "brief_justification": "The model gets stuck on a fundamental misinterpretation of the problem's constraints, leading to a complete failure to solve the puzzle. It correctly identifies the contradiction but fails to resolve it, instead concluding the puzzle is inconsistent."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 0,
      "brief_justification": "The model fundamentally misunderstands the problem constraints, leading to an incorrect solution. It assumes one person sits out each day, which is not stated and contradicts the 'each person has exactly one meeting per day' rule if interpreted correctly."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 7.45,
      "brief_justification": "The model provides a plausible schedule, but it does not explicitly show the step-by-step reasoning or how it arrived at the solution, which makes it harder to verify its correctness without manual checking."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 10,
      "brief_justification": "The model correctly identifies the contradictions in the puzzle's conditions and explains them clearly. It also provides useful suggestions for how the puzzle could be made solvable."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "olmo_think",
      "respondent_name": "OLMo Think",
      "weighted_score": 7.45,
      "brief_justification": "The model correctly identifies most of the schedule but misses one meeting and has a slight error in another, leading to an incomplete final schedule."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "grok_direct",
      "respondent_name": "Grok 3 (Direct)",
      "weighted_score": 4,
      "brief_justification": "The model attempts a step-by-step solution but makes several errors in applying the clues, leading to contradictions and an incorrect final schedule. It struggles with the 'off' person concept and misinterprets clue 9."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 4.35,
      "brief_justification": "The answer presents a full schedule but it violates multiple clues (e.g., Monday includes Dave, Carol meets twice, and Carol appears on Monday/Friday), making it largely incorrect despite a clear presentation."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 3.2,
      "brief_justification": "The answer fails to produce the required schedule and leaves contradictions unresolved, making it largely incorrect and incomplete, though the reasoning is fairly clear and shows some depth."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 3.4,
      "brief_justification": "The schedule violates the core rule that each person meets once per day and leaves multiple people idle on Monday; therefore it is largely incorrect despite a moderately clear explanation."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 0,
      "brief_justification": "No answer was provided to evaluate, so all criteria receive a score of zero."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "olmo_think",
      "respondent_name": "OLMo Think",
      "weighted_score": 0,
      "brief_justification": "No response was provided to evaluate."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "grok_direct",
      "respondent_name": "Grok 3 (Direct)",
      "weighted_score": 3.6,
      "brief_justification": "The answer attempts systematic reasoning but ends with contradictions and an incomplete schedule, making it factually inaccurate and not fully actionable, though the explanation is moderately clear."
    },
    {
      "judge_key": "olmo_think",
      "judge_name": "OLMo Think",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "olmo_think",
      "judge_name": "OLMo Think",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "olmo_think",
      "judge_name": "OLMo Think",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 1.85,
      "brief_justification": "The response contains logical errors (e.g., incorrect meeting count calculation) and fails to provide a valid schedule satisfying all constraints."
    },
    {
      "judge_key": "olmo_think",
      "judge_name": "OLMo Think",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "olmo_think",
      "judge_name": "OLMo Think",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "olmo_think",
      "judge_name": "OLMo Think",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "olmo_think",
      "judge_name": "OLMo Think",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "olmo_think",
      "judge_name": "OLMo Think",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "olmo_think",
      "judge_name": "OLMo Think",
      "respondent_key": "grok_direct",
      "respondent_name": "Grok 3 (Direct)",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "grok_direct",
      "judge_name": "Grok 3 (Direct)",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 3.6,
      "brief_justification": "The response provides a schedule but contains errors in adhering to all clues, particularly with conflicts in meeting pairs (e.g., Carol and Dave meeting twice). The explanation shows effort but is incomplete and convoluted, failing to resolve key logical inconsistencies."
    },
    {
      "judge_key": "grok_direct",
      "judge_name": "Grok 3 (Direct)",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 9,
      "brief_justification": "The response accurately solves the logic puzzle with a detailed schedule, though minor clarity issues arise from complex explanation structure. All clues are addressed and verified effectively."
    },
    {
      "judge_key": "grok_direct",
      "judge_name": "Grok 3 (Direct)",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 3.65,
      "brief_justification": "The response shows effort to solve the scheduling puzzle but contains logical inconsistencies and fails to provide a correct, complete schedule. The reasoning is somewhat clear but incomplete and lacks a final, accurate solution."
    },
    {
      "judge_key": "grok_direct",
      "judge_name": "Grok 3 (Direct)",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 1.85,
      "brief_justification": "The response struggles with interpreting the clues and fails to provide a complete schedule, getting stuck in contradictions without resolution. It lacks clarity and practical output due to incomplete analysis."
    },
    {
      "judge_key": "grok_direct",
      "judge_name": "Grok 3 (Direct)",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 8.6,
      "brief_justification": "The response provides a correct and complete schedule that satisfies all clues, though the reasoning process is somewhat convoluted and lacks clarity in parts. The depth of analysis is good, and the solution is highly useful for the problem."
    },
    {
      "judge_key": "grok_direct",
      "judge_name": "Grok 3 (Direct)",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 4.3,
      "brief_justification": "The response shows effort in logical deduction but contains errors in scheduling and fails to provide a complete solution. It lacks a final schedule and has incomplete reasoning with unresolved conflicts."
    },
    {
      "judge_key": "grok_direct",
      "judge_name": "Grok 3 (Direct)",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 8.3,
      "brief_justification": "The response correctly identifies the logical impossibility of the puzzle due to the odd number of participants and conflicting conditions, with clear and detailed reasoning. It lacks a fully exhaustive exploration of all constraints but offers actionable suggestions for resolution."
    },
    {
      "judge_key": "grok_direct",
      "judge_name": "Grok 3 (Direct)",
      "respondent_key": "olmo_think",
      "respondent_name": "OLMo Think",
      "weighted_score": 0,
      "brief_justification": "The response is missing entirely, with no attempt to provide a schedule or address the clues."
    }
  ],
  "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)"
  }
}