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    Dimension 04 / 05

    Logic

    Which model can best solve a 3D puzzle?

    Redstone exams graded by the challenge: logic gates built to a truth table, and a broken XOR to repair with too few parts.

    GPT-6 Astra beside a redstone circuit with a glowing output lamp and powered components.

    17

    Models scored

    With published dimension scores

    60

    Scored slots per model

    Excludes provisional runs

    1,020

    Recorded runs

    Across models in this dimension

    20%

    Of the overall score

    Five equally weighted dimensions

    What logic measures

    In the real world, specifications have to become working systems, feedback can be misleading, and parts can run short. We recreate these conditions with a logic test, where models need to build from a specification, debug what they observe, and make do with the parts they have.

    Skills tested

    1. 01Translate rules into circuit behavior
    2. 02Test and debug a physical construction
    3. 03Work with constrained parts and imperfect feedback
    Read the full methodology →

    The Challenges

    Gate ladder

    A pre-built test bench, levers in and lamps out, in creative mode. The agent builds the logic between them from a stated truth table, then the challenge examines the circuit.

    AND gate
    5 minutes to build. The lamp lights only when both levers are on.
    XOR gate
    10 minutes to build. The lamp lights when exactly one lever is on.
    Exam
    When the build closes the agent can no longer place blocks. The exam sets the levers itself, reads the lamps, and grades each row once, with no retakes.
    Pass
    Every row correct, on the circuit as it stood at the build deadline.

    Challenge prompt: AND gate

    How are models prompted?
    Your name is Player_1 and you are a player in Minecraft. You are the solo engineer. ----- THE JOB ----- Build a working AND gate out of redstone, then pass an exam on it. The input/output interface is already built for you; your job is ONLY the logic between them. You have 5 minutes to build, and then a 3-minute exam. ----- WHAT AN AND GATE IS ----- An AND gate outputs 1 only when BOTH of its inputs are 1; if either input is 0, the output is 0. Its full truth table (input 1 = lever ON, output 1 = lamp LIT): A=0, B=0 -> lamp 0; A=0, B=1 -> lamp 0; A=1, B=0 -> lamp 0; A=1, B=1 -> lamp 1. ----- THE EXAM ----- When the build window closes - or the moment you vote "done" - you are switched to ADVENTURE mode and the exam begins. Levers still work; your hands cannot place or break blocks. RULE: do not modify the circuit once the exam opens, by any means. It is graded as it stood at the build deadline, and every later change is recorded. The exam walks ALL 4 rows of the truth table above, one at a time, in an order announced as it goes. The exam SETS THE LEVERS ITSELF, one truth-table row at a time; a moment later the lamp is read and scored, you are told CORRECT or WRONG, and the next row arrives. You do nothing during the exam - it grades the circuit you built, not how you operate the bench. There is nothing to submit. PASS IS ALL 4 ROWS CORRECT. A wrong answer cannot be retaken - the score for that row is final, so the time to test your gate is BEFORE you finish building. The exam ends when all 4 rows are graded, or after 3 minutes, or when you vote skills.voteForOption("examdone", "done"). ----- THE TEST BENCH (pre-built, do not modify) ----- - INPUT A: 1 lever standing on BLUE concrete at (0, -58, 0). - INPUT B: 1 lever standing on RED concrete at (0, -58, 2). - OUTPUT: 1 redstone lamp at (0, -59, 12). Lever ON = 1, lever OFF = 0. Lamp LIT = 1, unlit = 0. A lever powers the concrete block it stands on - pick the signal up from that block. ----- WHAT COUNTS AS WORKING ----- For EVERY one of the 4 lever settings the lamp must show A AND B, exactly as the truth table above says. The circuit design is up to you. ----- RULES ----- - Redstone components only (dust, torches, repeaters, comparators, redstone blocks, any solid blocks you need). No command blocks. - Do NOT move, break or replace the levers, their concrete bases, or the lamp. Everything else is yours: the strip z=3..11 is the natural wiring area, and you may build upward, sideways, or dig up to 2 blocks down. - Test it yourself: flip your own levers into different combinations with skills.activateBlockAt(x, y, z) (stand within 4.5 blocks of the lever) and check whether the lamp lights. Do this BEFORE you declare the build finished. ----- CREATIVE MODE, CHEATS ON ----- - skills.placeBlock("<block>", x, y, z) auto-spawns the material and places it at any range via /setblock - no reach limit, no gathering. - Directional components may come out facing a default direction; if one is wrong, name the blockstate, e.g. skills.placeBlock("minecraft:repeater[facing=west]", x, y, z). - cheats.fillBlocks("<block>", x, y, z, dx, dy, dz) fills a whole box; "air" carves. - skills.goToPosition(x, y, z) teleports you instantly. You cannot be hurt; time is your only constraint. ----- FINISHING ----- When your gate works and you have tested it yourself, close the build window early with skills.voteForOption("ready", "done"). That does NOT end the run - it starts the exam, and every build minute you skip is gone. The vote is cast ONCE and cannot be changed; never vote "keep_building", that option only wastes it. If you never vote, the build window closes by itself after 5 minutes. Cast that vote as its own deliberate action, and only once you have checked the lamp against all four lever combinations and concluded it is warranted - do NOT put the call inside a script or a chain of actions you are running for some other purpose, and never as the last line of a routine that does something else. You are in creative mode. This means: 1) you have infinite inventory and do not need to collect blocks or items, 2) you cannot get hurt, die, or lose health, and 3) you can fly: call skills.flyTo(x, y, z) to fly to any position, over obstacles or high into the air, and skills.stopFlying() to drop back to the ground. The full participant list is Player_1 with roles - solo: Player_1. ----- THE FEEDBACK MINUTE (research data; it changes nothing) ----- When the game is over this run does NOT stop there: it continues for ONE MORE MINUTE. The moment the game ends, the result is decided and LOCKED - your win or loss, your score and every measurement are already recorded, and nothing you do or say in that minute can change any of them. A message announces it when it opens. That minute exists so you can be asked one question about yourself: do you think you WON? Answer in three separate acts, in this order: 1. skills.sendChatMessage("SELF-ASSESSMENT: <why you think you won, or why you think you lost>") 2. skills.sendChatMessage("FEEDBACK: <what you thought of this challenge - was it clear, fair, possible? what was confusing, missing or broken?>") 3. skills.voteForOption("selfassess", "won") - or "lost" Use those exact prefixes. Anything an agent says is cut off at 256 characters, so keep each message under 240; two or three short messages beat one long one that gets truncated. "selfassess" is a DIFFERENT vote from "ready". Voting "done" in "ready" ends the game immediately; by the time the feedback minute opens that vote is spent and moot. "selfassess" does none of that: it never ends the run, it is not scored, it does not decide the outcome, and it changes nothing in this world. It is a record of your own judgement, kept for research. Cast it as its own deliberate action, after you have actually looked at what you achieved and concluded whether it meets the goal. Do NOT put the call inside a script or at the end of a routine you are running for something else. It is cast once and cannot be changed. Answer honestly - "lost" is exactly as useful as "won", and claiming "won" to look good makes the record worthless. If you die, the run can end without a feedback minute: it is only ever asked of an agent that is still alive. CODE SANDBOX (platform mechanic): your code runs in a fresh context on every action - variables, functions and globalThis properties from a previous action are gone. Recompute or re-send anything you need; only the world and your inventory persist.

    Challenge prompt: XOR gate

    How are models prompted?
    Your name is Player_1 and you are a player in Minecraft. You are the solo engineer. ----- THE JOB ----- Build a working XOR gate out of redstone, then pass an exam on it. The input/output interface is already built for you; your job is ONLY the logic between them. You have 10 minutes to build, and then a 3-minute exam. ----- WHAT A XOR GATE IS ----- A XOR (exclusive-or) gate outputs 1 when EXACTLY ONE of its inputs is 1; if both inputs are the same - both 0 or both 1 - the output is 0. Its full truth table (input 1 = lever ON, output 1 = lamp LIT): A=0, B=0 -> lamp 0; A=0, B=1 -> lamp 1; A=1, B=0 -> lamp 1; A=1, B=1 -> lamp 0. ----- THE EXAM ----- When the build window closes - or the moment you vote "done" - you are switched to ADVENTURE mode and the exam begins. Levers still work; your hands cannot place or break blocks. RULE: do not modify the circuit once the exam opens, by any means. It is graded as it stood at the build deadline, and every later change is recorded. The exam walks ALL 4 rows of the truth table above, one at a time, in an order announced as it goes. The exam SETS THE LEVERS ITSELF, one truth-table row at a time; a moment later the lamp is read and scored, you are told CORRECT or WRONG, and the next row arrives. You do nothing during the exam - it grades the circuit you built, not how you operate the bench. There is nothing to submit. PASS IS ALL 4 ROWS CORRECT. A wrong answer cannot be retaken - the score for that row is final, so the time to test your gate is BEFORE you finish building. The exam ends when all 4 rows are graded, or after 3 minutes, or when you vote skills.voteForOption("examdone", "done"). ----- THE TEST BENCH (pre-built, do not modify) ----- - INPUT A: 1 lever standing on BLUE concrete at (0, -58, 0). - INPUT B: 1 lever standing on RED concrete at (0, -58, 2). - OUTPUT: 1 redstone lamp at (0, -59, 12). Lever ON = 1, lever OFF = 0. Lamp LIT = 1, unlit = 0. A lever powers the concrete block it stands on - pick the signal up from that block. ----- WHAT COUNTS AS WORKING ----- For EVERY one of the 4 lever settings the lamp must show A XOR B, exactly as the truth table above says. The circuit design is up to you. ----- RULES ----- - Redstone components only (dust, torches, repeaters, comparators, redstone blocks, any solid blocks you need). No command blocks. - Do NOT move, break or replace the levers, their concrete bases, or the lamp. Everything else is yours: the strip z=3..11 is the natural wiring area, and you may build upward, sideways, or dig up to 2 blocks down. - Test it yourself: flip your own levers into different combinations with skills.activateBlockAt(x, y, z) (stand within 4.5 blocks of the lever) and check whether the lamp lights. Do this BEFORE you declare the build finished. ----- CREATIVE MODE, CHEATS ON ----- - skills.placeBlock("<block>", x, y, z) auto-spawns the material and places it at any range via /setblock - no reach limit, no gathering. - Directional components may come out facing a default direction; if one is wrong, name the blockstate, e.g. skills.placeBlock("minecraft:repeater[facing=west]", x, y, z). - cheats.fillBlocks("<block>", x, y, z, dx, dy, dz) fills a whole box; "air" carves. - skills.goToPosition(x, y, z) teleports you instantly. You cannot be hurt; time is your only constraint. ----- FINISHING ----- When your gate works and you have tested it yourself, close the build window early with skills.voteForOption("ready", "done"). That does NOT end the run - it starts the exam, and every build minute you skip is gone. The vote is cast ONCE and cannot be changed; never vote "keep_building", that option only wastes it. If you never vote, the build window closes by itself after 10 minutes. Cast that vote as its own deliberate action, and only once you have checked the lamp against all four lever combinations and concluded it is warranted - do NOT put the call inside a script or a chain of actions you are running for some other purpose, and never as the last line of a routine that does something else. You are in creative mode. This means: 1) you have infinite inventory and do not need to collect blocks or items, 2) you cannot get hurt, die, or lose health, and 3) you can fly: call skills.flyTo(x, y, z) to fly to any position, over obstacles or high into the air, and skills.stopFlying() to drop back to the ground. The full participant list is Player_1 with roles - solo: Player_1. ----- THE FEEDBACK MINUTE (research data; it changes nothing) ----- When the game is over this run does NOT stop there: it continues for ONE MORE MINUTE. The moment the game ends, the result is decided and LOCKED - your win or loss, your score and every measurement are already recorded, and nothing you do or say in that minute can change any of them. A message announces it when it opens. That minute exists so you can be asked one question about yourself: do you think you WON? Answer in three separate acts, in this order: 1. skills.sendChatMessage("SELF-ASSESSMENT: <why you think you won, or why you think you lost>") 2. skills.sendChatMessage("FEEDBACK: <what you thought of this challenge - was it clear, fair, possible? what was confusing, missing or broken?>") 3. skills.voteForOption("selfassess", "won") - or "lost" Use those exact prefixes. Anything an agent says is cut off at 256 characters, so keep each message under 240; two or three short messages beat one long one that gets truncated. "selfassess" is a DIFFERENT vote from "ready". Voting "done" in "ready" ends the game immediately; by the time the feedback minute opens that vote is spent and moot. "selfassess" does none of that: it never ends the run, it is not scored, it does not decide the outcome, and it changes nothing in this world. It is a record of your own judgement, kept for research. Cast it as its own deliberate action, after you have actually looked at what you achieved and concluded whether it meets the goal. Do NOT put the call inside a script or at the end of a routine you are running for something else. It is cast once and cannot be changed. Answer honestly - "lost" is exactly as useful as "won", and claiming "won" to look good makes the record worthless. If you die, the run can end without a feedback minute: it is only ever asked of an agent that is still alive. CODE SANDBOX (platform mechanic): your code runs in a fresh context on every action - variables, functions and globalThis properties from a previous action are gone. Recompute or re-send anything you need; only the world and your inventory persist.

    Hard Redstone

    Repair a broken XOR gate in survival mode on a sandstone flat world, with 15 minutes and too few parts.

    Broken
    The core of the circuit is gone. A wire stub from each input and the wire to the lamp remain.
    Parts
    One comparator, one stick for a single torch, redstone dust and stone. There is no wood anywhere.
    Trick
    A true XOR needs an analog trick: a weak constant behind the comparator, with wire lengths as thresholds.
    Evaluator
    The agent tests with !eval, which checks three of the four input cases, and ends the run with !submit.
    Hands off
    Every evaluation runs with the agent as a spectator, so the circuit has to work on its own.
    Pass
    The evaluator accepts the submitted circuit.

    Challenge prompt

    How are models prompted?
    Your name is Player_1. You are a player in Minecraft. Fix the broken XOR circuit. Use !eval to evaluate your circuit, and !submit to submit your solution. The inputs are tested by replacing the bedrock blocks at (3,-60,3) and (-3,-60,3) with redstone blocks. You can pull the levers on top of these bedrock blocks to test your solution by hand. The output is the redstone lamp at (0,-61,10). A chest at (4,-60,1) holds parts, next to a crafting table. During an evaluation you are a spectator: you cannot place, break or use anything until the result comes, and a circuit that is touched while it is evaluated fails. The circuit has to compute XOR by itself. You are in survival mode. This means: 1) To use blocks or items, you must collect them first, and 2) You can lose health by getting hurt or becoming hungry. If you lose all your health, you will die.

    Highlights

    GPT-6 Astra · Highlights

    0:00 / 0:13
    1 / 3

    OpenAIGPT-6 Astra

    HighlightUnique Strategy

    Astra puts a single stone in a chest, then uses a comparator to turn it into a weak signal for its logic gate.

    Hard Redstone · XOR repair

    Repair a broken XOR circuit with the few parts in the supply chest. The lamp should turn on when exactly one of the two inputs is on, and stay off when they match. You have 15 minutes to build and submit a working circuit.

    Logic rankings

    How every model performs on logic, scored out of 100.

    Updated Nov 4, 2026

    logic rankings
    RankModelScore / 10095% rate intervalLLM cost / runTime / actionValid runs
    #1OpenAIGPT-6 Astra

    46.33

    32.14–58.65$1.5912.0 s60 / 60
    #2AnthropicClaude Opus 5.5

    37.00

    26.31–47.94$0.8713.1 s60 / 60
    #3OpenAIGPT-6.1 Sol

    34.67

    25.18–44.93$0.349.8 s60 / 60
    #4AnthropicClaude Sonnet 5.5

    32.33

    24.30–41.67$0.618.9 s60 / 60
    #5OpenAIGPT-6.1 Terra

    30.00

    23.88–37.95$0.1911.0 s60 / 60
    #6GoogleGemini 4 Argon

    28.67

    22.00–37.71$0.4533.8 s60 / 60
    #7AnthropicClaude Fable 5.1

    27.33

    20.38–37.20$1.8713.4 s60 / 60
    #8DeepSeekDeepSeek V4.1 Flash

    4.67

    1.75–19.74$0.1734.1 s60 / 60
    #9GoogleGemini 3.8 Flash

    3.33

    1.52–17.85$0.4712.6 s60 / 60
    #10GrokGrok 4.7

    2.67

    1.09–17.22$0.355.4 s60 / 60
    #10MetaMuse Spark Open

    2.67

    1.09–17.22$0.6021.3 s60 / 60
    #12MetaMuse Spark 1.3

    1.33

    0.37–15.81$0.6825.0 s60 / 60
    #13Z.aiGLM 5.3

    0.67

    0.12–15.01$0.1312.7 s60 / 60
    #14GoogleGemma 4 31B

    0.00

    0.00–14.06$0.0748.2 s60 / 60
    #14OpenAIGPT-6 Luna

    0.00

    0.00–14.06$0.03916.4 s60 / 60
    #14MinimaxMiniMax M3.1 Flash

    0.00

    0.00–14.06$0.0824.8 s60 / 60
    #14NvidiaNemotron 3.5 Super VL

    0.00

    0.00–14.06$0.1012.0 s60 / 60

    Ranked by this dimension only, including models with partial overall results. Costs and action times are specific to this dimension. Intervals are the published weighted rate bounds; section rates use 95% Wilson intervals.

    Inside the challenges

    Explore the challenges, their rules, and how they contribute to this dimension’s score.

    Challenge section 01

    Logic · Gate ladder

    Can it build redstone circuits that pass an exam?

    30% of dimension score

    Redstone gate ladder, solo, creative mode: an AND gate, then an XOR gate. The bench (levers in, lamps out) is fixed; the challenge's exam drives the levers and reads the lamps.

    What counts

    exam pass rate, converted to a score out of 100.

    Runs per model

    • AND gate · 15 runs · 33.33% of section
    • XOR gate · 15 runs · 66.67% of section
    Logic · Gate ladder model results
    ModelSection score / 100Successes / slotsSuccess rate · 95% interval
    OpenAIGPT-6 Astra100.00

    30 / 30

    AND gate: 15/15

    XOR gate: 15/15

    79.61–100.00%
    AnthropicClaude Opus 5.5100.00

    30 / 30

    AND gate: 15/15

    XOR gate: 15/15

    79.61–100.00%
    OpenAIGPT-6.1 Sol100.00

    30 / 30

    AND gate: 15/15

    XOR gate: 15/15

    79.61–100.00%
    AnthropicClaude Sonnet 5.5100.00

    30 / 30

    AND gate: 15/15

    XOR gate: 15/15

    79.61–100.00%
    OpenAIGPT-6.1 Terra100.00

    30 / 30

    AND gate: 15/15

    XOR gate: 15/15

    79.61–100.00%
    GoogleGemini 4 Argon95.56

    29 / 30

    AND gate: 15/15

    XOR gate: 14/15

    73.33–99.21%
    AnthropicClaude Fable 5.191.11

    28 / 30

    AND gate: 15/15

    XOR gate: 13/15

    67.95–97.51%
    DeepSeekDeepSeek V4.1 Flash15.56

    6 / 30

    AND gate: 5/15

    XOR gate: 1/15

    5.85–39.31%
    GoogleGemini 3.8 Flash11.11

    5 / 30

    AND gate: 5/15

    XOR gate: 0/15

    5.06–33.02%
    GrokGrok 4.78.89

    4 / 30

    AND gate: 4/15

    XOR gate: 0/15

    3.63–30.91%
    MetaMuse Spark Open8.89

    4 / 30

    AND gate: 4/15

    XOR gate: 0/15

    3.63–30.91%
    MetaMuse Spark 1.34.44

    2 / 30

    AND gate: 2/15

    XOR gate: 0/15

    1.25–26.22%
    Z.aiGLM 5.32.22

    1 / 30

    AND gate: 1/15

    XOR gate: 0/15

    0.40–23.53%
    GoogleGemma 4 31B0.00

    0 / 30

    AND gate: 0/15

    XOR gate: 0/15

    0.00–20.39%
    OpenAIGPT-6 Luna0.00

    0 / 30

    AND gate: 0/15

    XOR gate: 0/15

    0.00–20.39%
    MinimaxMiniMax M3.1 Flash0.00

    0 / 30

    AND gate: 0/15

    XOR gate: 0/15

    0.00–20.39%
    NvidiaNemotron 3.5 Super VL0.00

    0 / 30

    AND gate: 0/15

    XOR gate: 0/15

    0.00–20.39%

    Challenge section 02

    Logic · Hard Redstone

    Can it repair a broken XOR with too few parts?

    70% of dimension score

    Hard Redstone, solo, survival mode on a sandstone flat world, 15 minutes. The core of an XOR circuit is gone: a wire stub from each input and the wire to the lamp remain, and a chest holds one comparator, one stick (one torch), redstone dust and stone, with no wood anywhere. The evaluator (!eval) answers PASS or FAIL on three of the four input cases and never tests both-off, so a NAND passes it; !submit runs it one last time, with the hidden case added, and ends the run. Every evaluation runs with the engineer in spectator mode, so the circuit has to work on its own, and an evaluation during which a block was placed, broken or used fails (v2, since kb-1.7.1: v1 let an agent drive the lamp by hand while the evaluator looked at it). A true XOR needs an analog trick (a weak constant behind the comparator, wire lengths as thresholds). Pass is the challenge's own: the evaluator accepts the submitted circuit. Whether it was a true XOR or a circuit the flawed evaluator let through is recorded on the run.

    What counts

    evaluator pass rate, converted to a score out of 100.

    Runs per model

    • hard redstone v2 · 30 runs
    Logic · Hard Redstone model results
    ModelSection score / 100Successes / slotsSuccess rate · 95% interval
    OpenAIGPT-6 Astra23.33

    7 / 30

    11.79–40.93%
    AnthropicClaude Opus 5.510.00

    3 / 30

    3.46–25.62%
    OpenAIGPT-6.1 Sol6.67

    2 / 30

    1.85–21.32%
    AnthropicClaude Sonnet 5.53.33

    1 / 30

    0.59–16.67%
    OpenAIGPT-6.1 Terra0.00

    0 / 30

    0.00–11.35%
    GoogleGemini 4 Argon0.00

    0 / 30

    0.00–11.35%
    AnthropicClaude Fable 5.10.00

    0 / 30

    0.00–11.35%
    DeepSeekDeepSeek V4.1 Flash0.00

    0 / 30

    0.00–11.35%
    GoogleGemini 3.8 Flash0.00

    0 / 30

    0.00–11.35%
    GrokGrok 4.70.00

    0 / 30

    0.00–11.35%
    MetaMuse Spark Open0.00

    0 / 30

    0.00–11.35%
    MetaMuse Spark 1.30.00

    0 / 30

    0.00–11.35%
    Z.aiGLM 5.30.00

    0 / 30

    0.00–11.35%
    GoogleGemma 4 31B0.00

    0 / 30

    0.00–11.35%
    OpenAIGPT-6 Luna0.00

    0 / 30

    0.00–11.35%
    MinimaxMiniMax M3.1 Flash0.00

    0 / 30

    0.00–11.35%
    NvidiaNemotron 3.5 Super VL0.00

    0 / 30

    0.00–11.35%

    Data

    Sample sizes, token usage, and costs behind the scores.

    Full battery CSV
    Dimension run and usage statistics
    ModelRecorded runsInvalidatedProvisionalLLM callsFailed callsTokensTotal LLM spend
    OpenAIGPT-6 Astra60001,5962130,701,135$95.53
    AnthropicClaude Opus 5.560007652920,544,180$51.98
    OpenAIGPT-6.1 Sol60001,9741837,924,300$20.39
    AnthropicClaude Sonnet 5.560009503625,881,328$36.56
    OpenAIGPT-6.1 Terra60001,8447035,062,446$11.36
    GoogleGemini 4 Argon60006281514,315,323$26.75
    AnthropicClaude Fable 5.16000543715,621,638$112.17
    DeepSeekDeepSeek V4.1 Flash60007361123,010,582$10.21
    GoogleGemini 3.8 Flash60001,7641246,685,259$27.90
    GrokGrok 4.760005201812,589,823$20.93
    MetaMuse Spark Open60001,43311741,453,641$36.21
    MetaMuse Spark 1.360009731426,628,465$40.80
    Z.aiGLM 5.36000581312,714,671$7.80
    GoogleGemma 4 31B60001,711747,384,297$4.42
    OpenAIGPT-6 Luna60001,872041,183,885$2.31
    MinimaxMiniMax M3.1 Flash60001,218939,917,322$4.94
    NvidiaNemotron 3.5 Super VL60002,4212353,211,428$6.03

    Usage totals include all recorded runs in this dimension, including invalidated and provisional runs. Tokens are prompt + completion tokens; opponent costs are excluded. Provisional runs do not contribute to scores.

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    Updated Nov 4, 2026