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  1. dev_basic.json +9 -347
  2. dev_test.json +44 -0
dev_basic.json CHANGED
@@ -1,52 +1,14 @@
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  [
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- {
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- "id": "seed_1",
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- "prompt": "Identify the hidden Mealy machine using act() and finish with submit_table().",
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- "mcp_config": {
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- "hud": {
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- "url": "https://mcp.hud.so/v3/mcp",
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- "headers": {
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- "Authorization": "Bearer ${HUD_API_KEY}",
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- "Run-Id": "${RUN_ID}",
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- "Mcp-Image": "docker.io/vedanshsharma123/dedeucebench_hud@sha256:0585db85f660b74fde5e4fc07e0774331912f492f76e3d623ac4b3f48480ef63"
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- }
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- }
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- },
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- "setup_tool": {
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- "name": "setup",
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- "arguments": {
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- "seed": 1,
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- "mode": "control",
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- "budget": 35,
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- "n_states": 3,
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- "target_len": 8,
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- "feedback": true,
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- "trap": false,
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- "variety": false,
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- "max_steps": 64
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- }
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- },
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- "evaluate_tool": {
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- "name": "evaluate",
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- "arguments": {}
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- },
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- "allowed_tools": [
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- "act",
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- "submit_macro",
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- "evaluate"
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- ],
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- "max_steps": 64
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- },
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  {
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  "id": "seed_2",
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- "prompt": "Identify the hidden Mealy machine using act() and finish with submit_table().",
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  "mcp_config": {
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  "hud": {
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  "url": "https://mcp.hud.so/v3/mcp",
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  "headers": {
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  "Authorization": "Bearer ${HUD_API_KEY}",
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  "Run-Id": "${RUN_ID}",
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- "Mcp-Image": "docker.io/vedanshsharma123/dedeucebench_hud@sha256:0585db85f660b74fde5e4fc07e0774331912f492f76e3d623ac4b3f48480ef63"
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  }
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  }
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  },
@@ -54,236 +16,8 @@
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  "name": "setup",
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  "arguments": {
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  "seed": 2,
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- "mode": "control",
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- "budget": 35,
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- "n_states": 3,
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- "target_len": 8,
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- "feedback": true,
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- "trap": false,
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- "variety": false,
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- "max_steps": 64
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- }
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- },
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- "evaluate_tool": {
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- "name": "evaluate",
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- "arguments": {}
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- },
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- "allowed_tools": [
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- "act",
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- "submit_macro",
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- "evaluate"
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- ],
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- "max_steps": 64
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- },
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- {
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- "id": "seed_3",
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- "prompt": "Identify the hidden Mealy machine using act() and finish with submit_table().",
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- "mcp_config": {
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- "hud": {
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- "url": "https://mcp.hud.so/v3/mcp",
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- "headers": {
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- "Authorization": "Bearer ${HUD_API_KEY}",
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- "Run-Id": "${RUN_ID}",
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- "Mcp-Image": "docker.io/vedanshsharma123/dedeucebench_hud@sha256:0585db85f660b74fde5e4fc07e0774331912f492f76e3d623ac4b3f48480ef63"
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- }
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- }
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- },
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- "setup_tool": {
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- "name": "setup",
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- "arguments": {
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- "seed": 3,
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- "mode": "control",
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- "budget": 35,
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- "n_states": 3,
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- "target_len": 8,
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- "feedback": true,
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- "trap": false,
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- "variety": false,
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- "max_steps": 64
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- }
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- },
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- "evaluate_tool": {
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- "name": "evaluate",
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- "arguments": {}
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- },
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- "allowed_tools": [
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- "act",
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- "submit_macro",
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- "evaluate"
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- ],
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- "max_steps": 64
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- },
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- {
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- "id": "seed_4",
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- "prompt": "Identify the hidden Mealy machine using act() and finish with submit_table().",
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- "mcp_config": {
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- "hud": {
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- "url": "https://mcp.hud.so/v3/mcp",
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- "headers": {
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- "Authorization": "Bearer ${HUD_API_KEY}",
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- "Run-Id": "${RUN_ID}",
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- "Mcp-Image": "docker.io/vedanshsharma123/dedeucebench_hud@sha256:0585db85f660b74fde5e4fc07e0774331912f492f76e3d623ac4b3f48480ef63"
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- }
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- }
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- },
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- "setup_tool": {
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- "name": "setup",
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- "arguments": {
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- "seed": 4,
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- "mode": "control",
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- "budget": 35,
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- "n_states": 3,
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- "target_len": 8,
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- "feedback": true,
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- "trap": false,
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- "variety": false,
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- "max_steps": 64
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- }
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- },
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- "evaluate_tool": {
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- "name": "evaluate",
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- "arguments": {}
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- },
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- "allowed_tools": [
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- "act",
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- "submit_macro",
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- "evaluate"
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- ],
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- "max_steps": 64
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- },
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- {
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- "id": "seed_5",
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- "prompt": "Identify the hidden Mealy machine using act() and finish with submit_table().",
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- "mcp_config": {
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- "hud": {
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- "url": "https://mcp.hud.so/v3/mcp",
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- "headers": {
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- "Authorization": "Bearer ${HUD_API_KEY}",
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- "Run-Id": "${RUN_ID}",
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- "Mcp-Image": "docker.io/vedanshsharma123/dedeucebench_hud@sha256:0585db85f660b74fde5e4fc07e0774331912f492f76e3d623ac4b3f48480ef63"
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- }
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- }
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- },
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- "setup_tool": {
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- "name": "setup",
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- "arguments": {
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- "seed": 5,
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- "mode": "control",
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- "budget": 35,
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- "n_states": 3,
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- "target_len": 8,
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- "feedback": true,
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- "trap": false,
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- "variety": false,
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- "max_steps": 64
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- }
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- },
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- "evaluate_tool": {
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- "name": "evaluate",
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- "arguments": {}
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- },
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- "allowed_tools": [
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- "act",
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- "submit_macro",
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- "evaluate"
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- ],
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- "max_steps": 64
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- },
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- {
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- "id": "seed_6",
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- "prompt": "Identify the hidden Mealy machine using act() and finish with submit_table().",
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- "mcp_config": {
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- "hud": {
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- "url": "https://mcp.hud.so/v3/mcp",
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- "headers": {
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- "Authorization": "Bearer ${HUD_API_KEY}",
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- "Run-Id": "${RUN_ID}",
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- "Mcp-Image": "docker.io/vedanshsharma123/dedeucebench_hud@sha256:0585db85f660b74fde5e4fc07e0774331912f492f76e3d623ac4b3f48480ef63"
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- }
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- }
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- },
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- "setup_tool": {
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- "name": "setup",
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- "arguments": {
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- "seed": 6,
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- "mode": "control",
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- "budget": 35,
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- "n_states": 3,
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- "target_len": 8,
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- "feedback": true,
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- "trap": false,
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- "variety": false,
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- "max_steps": 64
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- }
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- },
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- "evaluate_tool": {
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- "name": "evaluate",
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- "arguments": {}
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- },
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- "allowed_tools": [
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- "act",
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- "submit_macro",
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- "evaluate"
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- ],
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- "max_steps": 64
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- },
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- {
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- "id": "seed_7",
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- "prompt": "Identify the hidden Mealy machine using act() and finish with submit_table().",
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- "mcp_config": {
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- "hud": {
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- "url": "https://mcp.hud.so/v3/mcp",
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- "headers": {
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- "Authorization": "Bearer ${HUD_API_KEY}",
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- "Run-Id": "${RUN_ID}",
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- "Mcp-Image": "docker.io/vedanshsharma123/dedeucebench_hud@sha256:0585db85f660b74fde5e4fc07e0774331912f492f76e3d623ac4b3f48480ef63"
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- }
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- }
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- },
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- "setup_tool": {
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- "name": "setup",
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- "arguments": {
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- "seed": 7,
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- "mode": "control",
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- "budget": 35,
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- "n_states": 3,
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- "target_len": 8,
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- "feedback": true,
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- "trap": false,
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- "variety": false,
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- "max_steps": 64
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- }
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- },
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- "evaluate_tool": {
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- "name": "evaluate",
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- "arguments": {}
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- },
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- "allowed_tools": [
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- "act",
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- "submit_macro",
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- "evaluate"
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- ],
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- "max_steps": 64
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- },
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- {
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- "id": "seed_8",
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- "prompt": "Identify the hidden Mealy machine using act() and finish with submit_table().",
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- "mcp_config": {
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- "hud": {
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- "url": "https://mcp.hud.so/v3/mcp",
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- "headers": {
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- "Authorization": "Bearer ${HUD_API_KEY}",
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- "Run-Id": "${RUN_ID}",
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- "Mcp-Image": "docker.io/vedanshsharma123/dedeucebench_hud@sha256:0585db85f660b74fde5e4fc07e0774331912f492f76e3d623ac4b3f48480ef63"
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- }
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- }
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- },
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- "setup_tool": {
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- "name": "setup",
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- "arguments": {
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- "seed": 8,
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- "mode": "control",
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- "budget": 35,
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  "n_states": 3,
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  "target_len": 8,
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  "feedback": true,
@@ -296,86 +30,14 @@
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  "name": "evaluate",
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  "arguments": {}
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  },
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- "allowed_tools": [
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- "act",
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- "submit_macro",
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- "evaluate"
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- ],
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- "max_steps": 64
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- },
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- {
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- "id": "seed_9",
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- "prompt": "Identify the hidden Mealy machine using act() and finish with submit_table().",
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- "mcp_config": {
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- "hud": {
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- "url": "https://mcp.hud.so/v3/mcp",
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- "headers": {
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- "Authorization": "Bearer ${HUD_API_KEY}",
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- "Run-Id": "${RUN_ID}",
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- "Mcp-Image": "docker.io/vedanshsharma123/dedeucebench_hud@sha256:0585db85f660b74fde5e4fc07e0774331912f492f76e3d623ac4b3f48480ef63"
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- }
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- }
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- },
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- "setup_tool": {
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- "name": "setup",
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- "arguments": {
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- "seed": 9,
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- "mode": "control",
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- "budget": 35,
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- "n_states": 3,
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- "target_len": 8,
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- "feedback": true,
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- "trap": false,
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- "variety": false,
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- "max_steps": 64
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- }
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- },
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- "evaluate_tool": {
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- "name": "evaluate",
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- "arguments": {}
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- },
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- "allowed_tools": [
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- "act",
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- "submit_macro",
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- "evaluate"
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- ],
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- "max_steps": 64
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- },
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- {
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- "id": "seed_10",
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- "prompt": "Identify the hidden Mealy machine using act() and finish with submit_table().",
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- "mcp_config": {
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- "hud": {
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- "url": "https://mcp.hud.so/v3/mcp",
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- "headers": {
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- "Authorization": "Bearer ${HUD_API_KEY}",
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- "Run-Id": "${RUN_ID}",
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- "Mcp-Image": "docker.io/vedanshsharma123/dedeucebench_hud@sha256:0585db85f660b74fde5e4fc07e0774331912f492f76e3d623ac4b3f48480ef63"
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- }
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- }
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- },
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- "setup_tool": {
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- "name": "setup",
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- "arguments": {
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- "seed": 10,
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- "mode": "control",
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- "budget": 35,
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- "n_states": 3,
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- "target_len": 8,
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- "feedback": true,
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- "trap": false,
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- "variety": false,
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- "max_steps": 64
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- }
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- },
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- "evaluate_tool": {
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- "name": "evaluate",
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- "arguments": {}
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  },
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  "allowed_tools": [
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  "act",
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- "submit_macro",
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- "evaluate"
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  ],
380
  "max_steps": 64
381
  }
 
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  [
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  {
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  "id": "seed_2",
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+ "prompt": "OBSERVATION:\n{\"alphabet\": [\"A\", \"B\", \"C\"], \"outputs\": [\"x\", \"y\", \"z\"], \"budget\": 40, \"goal\": \"basic\", \"n_states\": 3, \"target_len\": 8, \"trap\": false}\n\nEpisode notes:\n- alphabet: allowed input symbols ('A','B','C').\n- outputs: each act(symbol) produces exactly one output in {'x','y','z'}.\n- budget: total act() calls available this episode.\n- n_states: total number of states (indices 0..n-1). In explanations we refer to them as s0, s1, ..., s{n-1}. Start is s0 (index 0).\n- trap: whether trap transitions may exist; if trap_hit becomes true, success is impossible.\n\nThis is a single-trajectory, stateful, non-resetting episode: each act(symbol) advances the live machine and produces an output. Both output and next state depend on (current_state, symbol). There is no undo or rewind machine is always live. submit_table(...) does not reset state.\n\nTask: Use act() to gather enough evidence (observing the outputs), then call submit_table(table_json) with a complete table for all states s0..s{n-1} (indices 0..n-1 in JSON) and symbols A,B,C.\nIf your table is incorrect, submit_table may return a counterexample (a short input sequence from the start state with the true outputs); you may use it to adjust your hypothesis. This consumes 1 query and the episode continues.\nUse only act() and submit_table(...). Always terminate by calling submit_table(...).\n\nTool call schemas (short):\n- act(symbol: 'A'|'B'|'C') -> returns JSON {output:'x'|'y'|'z', budget_left:int, t:int, trap_hit:bool, queries_used:int}.\n- submit_table(table_json: string-of-JSON). The table_json MUST be an object with keys 'n', 'start', 'trans',\n and each symbol entry is an array [next_state:int, output:'x'|'y'|'z'] (do NOT use objects like {output:..., next_state:...}).\n Minimal example: {\"n\":2, \"start\":0, \"trans\":{\"0\":{\"A\":[1,\"x\"],\"B\":[1,\"z\"],\"C\":[1,\"z\"]},\"1\":{\"A\":[0,\"z\"],\"B\":[1,\"z\"],\"C\":[1,\"z\"]}}}.\n",
5
  "mcp_config": {
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  "hud": {
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  "url": "https://mcp.hud.so/v3/mcp",
8
  "headers": {
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  "Authorization": "Bearer ${HUD_API_KEY}",
10
  "Run-Id": "${RUN_ID}",
11
+ "Mcp-Image": "docker.io/vedanshsharma123/dedeucebench_hud@sha256:4cd3bc40218f472d7ad945bd7a4d4aa38e3e0a77a775e92b5ac225d10042c3ee"
12
  }
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  }
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  },
 
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  "name": "setup",
17
  "arguments": {
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  "seed": 2,
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+ "mode": "basic",
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+ "budget": 40,
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
21
  "n_states": 3,
22
  "target_len": 8,
23
  "feedback": true,
 
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  "name": "evaluate",
31
  "arguments": {}
32
  },
33
+ "agent_config": {
34
+ "system_prompt": "You are an autonomous tool-using agent interacting with a hidden Mealy machine (finite-state transducer).\nObjective: exactly identify the machine and submit the full transition table via submit_table(table_json).\nReturn ONLY function tool calls; never output natural language. All responses must be valid JSON if any content is emitted.\n\nBenchmark focus: identification-first. Success is achieved only by exact transition-table submission via submit_table(table_json).\n\nEpisode semantics:\n- Stateful episode: the hidden machine's state persists across all tool calls; there are no resets between calls.\n- act(symbol) produces exactly one output (a symbol in {'x','y','z'}) and advances the hidden state; both output and next state are deterministic functions of (current_state, symbol).\n- submit_table(table_json) does not change or reset state; wrong submissions consume 1 query and the episode continues; correct submission ends the episode.\n- Start state is 0; the hidden state updates only when you call act(symbol).\n- Each act() consumes 1 query from the budget (invalid symbols still consume 1 and return an error).\n- submit_table(table_json): if your table is incorrect, it consumes 1 query and does NOT end the episode (when feedback is enabled, a short counterexample is returned). If correct, it ends the episode and does not consume budget. When budget reaches 0, the episode ends with ok=false.\n\nTools (use only act() and submit_table()):\n- act(symbol: 'A'|'B'|'C') -> JSON {output, budget_left, t, trap_hit, queries_used}. Each call consumes 1 query, produces an output, and advances the hidden state.\n- submit_table(...) -> JSON {ok, budget_left, queries_used, trap_hit, counterexample?}. If ok=false, consumes 1 query and does NOT end the episode (counterexample present only when feedback is enabled). If ok=true, ends the episode.\n\nTool return fields (definitions):\n- output: one of {'x','y','z'} produced by the latest act() call.\n- budget_left: remaining number of act() queries.\n- t: 1-based step index since the episode started (increments on each act()).\n- trap_hit: boolean; once true it remains true for the rest of the episode.\n- queries_used: total count of act() calls so far.\n\nCounterexample semantics (when feedback is enabled):\n- If submit_table is incorrect, the environment may return a short distinguishing test starting from the start state (state 0): a sequence of inputs with the corresponding true outputs.\n- This counterexample is diagnostic only. It does NOT change the live episode state, and it is NOT tied to your current state trajectory.\n- You may use it to refine your hypothesis; then continue probing with act() and resubmit.\n\nSubmit-table JSON schema (table_json string must parse to this shape, strictly follow this):\nImportant: Each entry is [next_state:int, output:'x'|'y'|'z'] \u2014 do NOT swap to [output, next_state].\n\n{\n \"n\": <int total_states>,\n \"start\": 0,\n \"trans\": {\n \"0\": { \"A\": [<ns:int>, <output:\"x\"|\"y\"|\"z\">], \"B\": [<ns>, <output>], \"C\": [<ns>, <output>] },\n \"1\": { \"A\": [<ns>, <output>], \"B\": [<ns>, <output>], \"C\": [<ns>, <output>] },\n ... up to \"n-1\"\n }\n}\n\nSkeleton example of table_json (Strictly follow this) (for n=2 \u2014 adjust values):\n{\"n\":2,\"start\":0,\"trans\":{\"0\":{\"A\":[1,\"y\"],\"B\":[0,\"x\"],\"C\":[0,\"x\"]},\"1\":{\"A\":[0,\"x\"],\"B\":[1,\"y\"],\"C\":[1,\"z\"]}}}\n\nFormatting & compliance:\n- Respond only with function tool calls as per the provided tool schemas.\n- The submit_table argument must be a single JSON string (not an object) matching the schema mentioned. Note that it include n, start and trans parts.\n- Do NOT echo the observation or tool descriptions.\n- Ensure \"trans\" covers every state index 0..n-1 and each of A,B,C exactly once.\n- Always terminate by calling submit_table(...).",
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+ "temperature": 0,
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+ "top_p": 1
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  },
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  "allowed_tools": [
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  "act",
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+ "submit_table"
 
41
  ],
42
  "max_steps": 64
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  }
dev_test.json ADDED
@@ -0,0 +1,44 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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+ [
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+ {
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+ "id": "seed_2",
4
+ "prompt": "OBSERVATION:\n{\"alphabet\": [\"A\", \"B\", \"C\"], \"outputs\": [\"x\", \"y\", \"z\"], \"budget\": 35, \"goal\": \"basic\", \"n_states\": 2, \"target_len\": 8, \"trap\": false}\n\nEpisode notes:\n- alphabet: allowed input symbols ('A','B','C').\n- outputs: each act(symbol) produces exactly one output in {'x','y','z'}.\n- budget: total act() calls available this episode.\n- n_states: total number of states (indices 0..n-1). In explanations we refer to them as s0, s1, ..., s{n-1}. Start is s0 (index 0).\n- trap: whether trap transitions may exist; if trap_hit becomes true, success is impossible.\n\nThis is a single-trajectory, stateful, non-resetting episode: each act(symbol) advances the live machine and produces an output. Both output and next state depend on (current_state, symbol). There is no undo or rewind machine is always live. submit_table(...) does not reset state.\n\nTask: Use act() to gather enough evidence (observing the outputs), then call submit_table(table_json) with a complete table for all states s0..s{n-1} (indices 0..n-1 in JSON) and symbols A,B,C.\nIf your table is incorrect, submit_table may return a counterexample (a short input sequence from the start state with the true outputs); you may use it to adjust your hypothesis. This consumes 1 query and the episode continues.\nUse only act() and submit_table(...). Always terminate by calling submit_table(...).\n\nTool call schemas (short):\n- act(symbol: 'A'|'B'|'C') -> returns JSON {output:'x'|'y'|'z', budget_left:int, t:int, trap_hit:bool, queries_used:int}.\n- submit_table(table_json: string-of-JSON). The table_json MUST be an object with keys 'n', 'start', 'trans',\n and each symbol entry is an array [next_state:int, output:'x'|'y'|'z'] (do NOT use objects like {output:..., next_state:...}).\n Minimal example: {\"n\":2, \"start\":0, \"trans\":{\"0\":{\"A\":[1,\"x\"],\"B\":[1,\"z\"],\"C\":[1,\"z\"]},\"1\":{\"A\":[0,\"z\"],\"B\":[1,\"z\"],\"C\":[1,\"z\"]}}}.\n",
5
+ "mcp_config": {
6
+ "hud": {
7
+ "url": "https://mcp.hud.so/v3/mcp",
8
+ "headers": {
9
+ "Authorization": "Bearer ${HUD_API_KEY}",
10
+ "Run-Id": "${RUN_ID}",
11
+ "Mcp-Image": "docker.io/vedanshsharma123/dedeucebench_hud@sha256:4cd3bc40218f472d7ad945bd7a4d4aa38e3e0a77a775e92b5ac225d10042c3ee"
12
+ }
13
+ }
14
+ },
15
+ "setup_tool": {
16
+ "name": "setup",
17
+ "arguments": {
18
+ "seed": 2,
19
+ "mode": "basic",
20
+ "budget": 55,
21
+ "n_states": 2,
22
+ "target_len": 8,
23
+ "feedback": true,
24
+ "trap": false,
25
+ "variety": false,
26
+ "max_steps": 64
27
+ }
28
+ },
29
+ "evaluate_tool": {
30
+ "name": "evaluate",
31
+ "arguments": {}
32
+ },
33
+ "agent_config": {
34
+ "system_prompt": "You are an autonomous tool-using agent interacting with a hidden Mealy machine (finite-state transducer).\nObjective: exactly identify the machine and submit the full transition table via submit_table(table_json).\nReturn ONLY function tool calls; never output natural language. All responses must be valid JSON if any content is emitted.\n\nBenchmark focus: identification-first. Success is achieved only by exact transition-table submission via submit_table(table_json).\n\nEpisode semantics:\n- Stateful episode: the hidden machine's state persists across all tool calls; there are no resets between calls.\n- act(symbol) produces exactly one output (a symbol in {'x','y','z'}) and advances the hidden state; both output and next state are deterministic functions of (current_state, symbol).\n- submit_table(table_json) does not change or reset state; wrong submissions consume 1 query and the episode continues; correct submission ends the episode.\n- Start state is 0; the hidden state updates only when you call act(symbol).\n- Each act() consumes 1 query from the budget (invalid symbols still consume 1 and return an error).\n- submit_table(table_json): if your table is incorrect, it consumes 1 query and does NOT end the episode (when feedback is enabled, a short counterexample is returned). If correct, it ends the episode and does not consume budget. When budget reaches 0, the episode ends with ok=false.\n\nTools (use only act() and submit_table()):\n- act(symbol: 'A'|'B'|'C') -> JSON {output, budget_left, t, trap_hit, queries_used}. Each call consumes 1 query, produces an output, and advances the hidden state.\n- submit_table(...) -> JSON {ok, budget_left, queries_used, trap_hit, counterexample?}. If ok=false, consumes 1 query and does NOT end the episode (counterexample present only when feedback is enabled). If ok=true, ends the episode.\n\nTool return fields (definitions):\n- output: one of {'x','y','z'} produced by the latest act() call.\n- budget_left: remaining number of act() queries.\n- t: 1-based step index since the episode started (increments on each act()).\n- trap_hit: boolean; once true it remains true for the rest of the episode.\n- queries_used: total count of act() calls so far.\n\nCounterexample semantics (when feedback is enabled):\n- If submit_table is incorrect, the environment may return a short distinguishing test starting from the start state (state 0): a sequence of inputs with the corresponding true outputs.\n- This counterexample is diagnostic only. It does NOT change the live episode state, and it is NOT tied to your current state trajectory.\n- You may use it to refine your hypothesis; then continue probing with act() and resubmit.\n\nSubmit-table JSON schema (table_json string must parse to this shape, strictly follow this):\nImportant: Each entry is [next_state:int, output:'x'|'y'|'z'] \u2014 do NOT swap to [output, next_state].\n\n{\n \"n\": <int total_states>,\n \"start\": 0,\n \"trans\": {\n \"0\": { \"A\": [<ns:int>, <output:\"x\"|\"y\"|\"z\">], \"B\": [<ns>, <output>], \"C\": [<ns>, <output>] },\n \"1\": { \"A\": [<ns>, <output>], \"B\": [<ns>, <output>], \"C\": [<ns>, <output>] },\n ... up to \"n-1\"\n }\n}\n\nSkeleton example of table_json (Strictly follow this) (for n=2 \u2014 adjust values):\n{\"n\":2,\"start\":0,\"trans\":{\"0\":{\"A\":[1,\"y\"],\"B\":[0,\"x\"],\"C\":[0,\"x\"]},\"1\":{\"A\":[0,\"x\"],\"B\":[1,\"y\"],\"C\":[1,\"z\"]}}}\n\nFormatting & compliance:\n- Respond only with function tool calls as per the provided tool schemas.\n- The submit_table argument must be a single JSON string (not an object) matching the schema mentioned. Note that it include n, start and trans parts.\n- Do NOT echo the observation or tool descriptions.\n- Ensure \"trans\" covers every state index 0..n-1 and each of A,B,C exactly once.\n- Always terminate by calling submit_table(...).",
35
+ "temperature": 0,
36
+ "top_p": 1
37
+ },
38
+ "allowed_tools": [
39
+ "act",
40
+ "submit_table"
41
+ ],
42
+ "max_steps": 64
43
+ }
44
+ ]