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knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 7 inhabitants: Alexander, Mason, James, Matthew, Victoria, Elizabeth, and Harper. Alexander stated, \"if (Matthew is a saint) then Harper is a saint\". ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 310, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 6]], [\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1]...
{ "split": "train", "index": 0, "n_people": 7, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 7050261007, "source_index": 310 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 12 inhabitants: Zoey, Riley, Emma, Charlotte, Alexander, Abigail, Sebastian, Mia, William, Amelia, Avery, and Samuel. Zoey asserted: \"((it is not the cas...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 645, \"statements\": [[\"or\", [\"and\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 9]]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"lying\", 11], [\"lying\", 5]], [\"<=>\",...
{ "split": "train", "index": 1, "n_people": 12, "depth_constraint": 5, "width_constraint": 4, "cell_seed": 12110261007, "source_index": 645 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 10 inhabitants: Avery, Michael, Ava, Lucas, David, Grace, Daniel, Charlotte, Harper, and James. In a statement by Avery: \"it is not the case that...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 18, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 9]]], [\"and\", [\"telling-truth\", 7], [\"and\", [\"telling-truth\", 0], [\"lying\", 0]], [\"telling-truth\", 1]], [\"->\", [\"or\", [\"...
{ "split": "train", "index": 2, "n_people": 10, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 10060261007, "source_index": 18 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 12 inhabitants: Noah, Sofia, David, Riley, Henry, Logan, Ella, William, Jacob, James, Chloe, and Owen. In Noah's words: \"Sofia is a laggard and E...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"and\", [\"lying\", 1], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"te...
{ "split": "train", "index": 3, "n_people": 12, "depth_constraint": 2, "width_constraint": 2, "cell_seed": 12020261007, "source_index": 241 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 8 inhabitants: Elizabeth, William, Emily, Zoey, Benjamin, Joseph, Liam, and David. In Elizabeth's words: \"it is not the case that ((it is not the case ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 876, \"statements\": [[\"not\", [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"or\", [\"telling-tru...
{ "split": "train", "index": 4, "n_people": 8, "depth_constraint": 5, "width_constraint": 4, "cell_seed": 8110261007, "source_index": 876 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 11 inhabitants: Amelia, William, Jack, Aiden, Samuel, Scarlett, Oliver, Daniel, Grace, Sophia, and Ella. Amelia noted, \"Samuel is a knight\". William w...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 527, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 7], [\"not\", [\"lying\", 6]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"lying\",...
{ "split": "train", "index": 5, "n_people": 11, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 11050261007, "source_index": 527 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 3 inhabitants: Lucas, Logan, and Sofia. In a statement by Lucas: \"Logan is a laggard if and only if Sofia is a pioneer\". According to Logan, \"S...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2627, \"statements\": [[\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]], \"solution\": [false, true, true], \...
{ "split": "train", "index": 6, "n_people": 3, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 3020261007, "source_index": 2627 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 8 inhabitants: Sebastian, Scarlett, Jackson, Abigail, Owen, Aiden, Aurora, and David. According to Sebastian, \"Sebastian is a saint if and only if Scar...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 146, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 5], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\...
{ "split": "train", "index": 7, "n_people": 8, "depth_constraint": 2, "width_constraint": 4, "cell_seed": 8040261007, "source_index": 146 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 3 inhabitants: Aurora, Aiden, and Sophia. In Aurora's words: \"Aiden is a villain and Aiden is a hero\". Aiden said, \"if Sophia is a villain then Aiden...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 330, \"statements\": [[\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"lying\", 1]]], \"solution\": [false, true, false], \"names\": [\"Auro...
{ "split": "train", "index": 8, "n_people": 3, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 3020261007, "source_index": 330 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 10 inhabitants: Benjamin, Samuel, Abigail, David, Aria, Chloe, Michael, Avery, Liam, and Daniel. \"Avery is a knave,\" Benjamin claimed. Samuel said, \"...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 46, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"->\", [\"->\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"lying\", 5]], [\"and\", [\"telling-truth\", 9], [\"lying\", 9]], [\"<=>\", [\"telling-truth\", 6], [\"...
{ "split": "train", "index": 9, "n_people": 10, "depth_constraint": 5, "width_constraint": 4, "cell_seed": 10110261007, "source_index": 46 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Ella, Benjamin, Lucas, and Evelyn. As Ella put it, \"(if Benjamin is an altruist then Lucas is an egoist) if and only if (Benjamin ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 1]]], [\"lying\", 2], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-tr...
{ "split": "train", "index": 10, "n_people": 4, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 4040261007, "source_index": 728 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 12 inhabitants: Mia, Chloe, Charlotte, Isabella, Jack, Emily, Zoey, William, Penelope, Owen, Mason, and Emma. Mia said, \"((Emma is an angel or Zoey is a ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 11], [\"lying\", 6]], [\"telling-truth\", 10]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 9]], [\"or\", [\"telling-truth\", 9], [...
{ "split": "train", "index": 11, "n_people": 12, "depth_constraint": 4, "width_constraint": 2, "cell_seed": 12080261007, "source_index": 936 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Benjamin, Riley, Sofia, Zoey, David, Emily, Olivia, Aiden, and Jackson. \"if Olivia is a pioneer then Emily is a pioneer\" - Benjam...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"or\", [\"lying\", 4], [\"lying\", 8]], [\"->\", [\"lying\", 8], [\"lying\", 5]], [\"and\", [\"telling-truth\", 0], [\"lying\", 7]], [\"->\...
{ "split": "train", "index": 12, "n_people": 9, "depth_constraint": 2, "width_constraint": 4, "cell_seed": 9040261007, "source_index": 738 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Zoey, Daniel, Lily, and Chloe. According to Lucas, \"Zoey is a fool\". Zoey asserted: \"Chloe is a sage\". Daniel told you that it is no...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1614, \"statements\": [[\"lying\", 1], [\"telling-truth\", 4], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 1], ...
{ "split": "train", "index": 13, "n_people": 5, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 5030261007, "source_index": 1614 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 3 inhabitants: Jacob, Emily, and Matthew. Jacob said, \"Matthew is a laggard.\" Emily remarked, \"it is not the case that (Matthew is a pioneer if...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1624, \"statements\": [[\"lying\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], \"solution\": [false, true, true], \"names\": [\"Jacob\", \"Emily\", \"Ma...
{ "split": "train", "index": 14, "n_people": 3, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 3040261007, "source_index": 1624 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aiden, Victoria, David, Daniel, Aria, Michael, Amelia, Logan, and Noah. Aiden said, \"Aria is an angel.\" Victoria was heard saying, \"Dani...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]], [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 4], [\"lying\", 6], [\"lying\", 2]]...
{ "split": "train", "index": 15, "n_people": 9, "depth_constraint": 2, "width_constraint": 4, "cell_seed": 9040261007, "source_index": 437 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 11 inhabitants: Grace, Daniel, Elizabeth, Mia, Ella, Scarlett, Ava, Harper, Aiden, Luke, and Amelia. According to Grace, \"Ella is an egoist\". Da...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 55, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"tel...
{ "split": "train", "index": 16, "n_people": 11, "depth_constraint": 3, "width_constraint": 4, "cell_seed": 11070261007, "source_index": 55 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 11 inhabitants: Jack, Sebastian, Emily, Avery, Matthew, Isabella, Alexander, Liam, Benjamin, Victoria, and Elizabeth. \"(Matthew is a fool if and only if Vict...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 9]], [\"not\", [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 10]]], [\"or\", [\"a...
{ "split": "train", "index": 17, "n_people": 11, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 11050261007, "source_index": 939 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 7 inhabitants: Lily, Alexander, Sofia, Olivia, Michael, Oliver, and Evelyn. \"if (it is not the case that (if (if Sofia is a pioneer then Michael ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 37, \"statements\": [[\"->\", [\"not\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\",...
{ "split": "train", "index": 18, "n_people": 7, "depth_constraint": 5, "width_constraint": 4, "cell_seed": 7110261007, "source_index": 37 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Jackson, James, Lucas, and Amelia. Jackson stated, \"it is not the case that (Amelia is a pioneer)\". James told you that if (Jacks...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1421, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3...
{ "split": "train", "index": 19, "n_people": 4, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 4030261007, "source_index": 1421 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Chloe, Luke, Sofia, Jackson, and Henry. \"(Jackson is a sinner or Henry is a sinner) if and only if (if Luke is a sinner then Sofia is a ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 394, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\",...
{ "split": "train", "index": 20, "n_people": 5, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 5030261007, "source_index": 394 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ella, David, Mason, William, and Alexander. \"(Alexander is a fool or David is a sage) or (if Alexander is a sage then David is a sage) or (if ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"...
{ "split": "train", "index": 21, "n_people": 5, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 5040261007, "source_index": 940 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 12 inhabitants: Lucas, Mia, Daniel, Amelia, Matthew, Benjamin, Avery, Isabella, Joseph, Harper, Penelope, and Ava. Lucas was heard saying, \"it is not t...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 544, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"lying\", 4]], [\"->\", [\"telling-truth\", 11], [\"lying\", 0]]], [\"or\", [\"lying\...
{ "split": "train", "index": 22, "n_people": 12, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 12060261007, "source_index": 544 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sofia, Zoey, Lily, Harper, Chloe, Aria, Jackson, Lucas, and Elizabeth. Sofia remarked, \"Chloe is a sage if and only if Lily is a fool\". Zoey ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1008, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]], [\...
{ "split": "train", "index": 23, "n_people": 9, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 9030261007, "source_index": 1008 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 8 inhabitants: William, Joseph, Michael, Evelyn, Lucas, Avery, Samuel, and Aria. William said that Michael is a sinner. Joseph stated, \"Michael is a si...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [\"<=>\", [\"lying\", 6], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 5]], [\"telling-truth\", 3], [\"or\", [\...
{ "split": "train", "index": 24, "n_people": 8, "depth_constraint": 2, "width_constraint": 2, "cell_seed": 8020261007, "source_index": 766 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Samuel, Ella, Benjamin, Grace, Harper, and Michael. Samuel remarked, \"((Benjamin is a pioneer or Michael is a laggard or Ella is a...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 417, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5], [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"lying\", 4], [\"and\", [\"lying\", ...
{ "split": "train", "index": 25, "n_people": 6, "depth_constraint": 4, "width_constraint": 4, "cell_seed": 6100261007, "source_index": 417 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Abigail, Matthew, Grace, Daniel, and Jack. \"Jack is a pioneer\" - Abigail. Matthew noted, \"Abigail is a pioneer\". Grace was hear...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3180, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]...
{ "split": "train", "index": 26, "n_people": 5, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 5020261007, "source_index": 3180 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 3 inhabitants: Lucas, Harper, and Evelyn. Lucas stated, \"(Evelyn is a laggard or Evelyn is a pioneer or Lucas is a pioneer) or (Evelyn is a lagga...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2769, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"or\", [...
{ "split": "train", "index": 27, "n_people": 3, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 3040261007, "source_index": 2769 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 7 inhabitants: Lily, Sophia, Abigail, Sebastian, Aria, Sofia, and Elizabeth. Lily remarked, \"if Sofia is an angel then Sophia is an angel\". In a stateme...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 788, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->...
{ "split": "train", "index": 28, "n_people": 7, "depth_constraint": 2, "width_constraint": 4, "cell_seed": 7040261007, "source_index": 788 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 3 inhabitants: Aiden, Ella, and Owen. Aiden said, \"Aiden is a pioneer and (Owen is a laggard).\" Ella noted, \"(Ella is a laggard) if and only if...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 1...
{ "split": "train", "index": 29, "n_people": 3, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 3030261007, "source_index": 234 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Logan, Ella, Aurora, Olivia, and Liam. Logan remarked, \"Aurora is a laggard if and only if Ella is a pioneer\". Ella stated, \"Aur...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3214, \"statements\": [[\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-tr...
{ "split": "train", "index": 30, "n_people": 5, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 5020261007, "source_index": 3214 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 7 inhabitants: Ava, Matthew, Emily, Jackson, Lily, Noah, and Ethan. Ava stated, \"Jackson is a saint\". In a statement by Matthew: \"(Jackson is a saint...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 311, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"lying\", 0], [\"lying\", 5]]]], [...
{ "split": "train", "index": 31, "n_people": 7, "depth_constraint": 4, "width_constraint": 2, "cell_seed": 7080261007, "source_index": 311 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Oliver, Aiden, Scarlett, and Charlotte. In Oliver's words: \"Oliver is a pioneer or Aiden is a laggard\". Aiden remarked, \"Charlot...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 603, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 0], [\"lying\", 2]]], \"solution\": [true, false, ...
{ "split": "train", "index": 32, "n_people": 4, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 4020261007, "source_index": 603 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 10 inhabitants: Samuel, Aria, William, Zoey, Mia, Olivia, Noah, Amelia, Evelyn, and Ava. Samuel was heard saying, \"Aria is a devil\". In Aria's words: \"...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 648, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"or\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 6]], [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\...
{ "split": "train", "index": 33, "n_people": 10, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 10060261007, "source_index": 648 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Grace, Evelyn, Ella, Charlotte, Ethan, and Michael. Grace commented, \"(((Ethan is a laggard if and only if Ethan is a pioneer) and...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 5], [\"tel...
{ "split": "train", "index": 34, "n_people": 6, "depth_constraint": 5, "width_constraint": 4, "cell_seed": 6110261007, "source_index": 448 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Joseph, William, Lucas, Aiden, Samuel, Olivia, Lily, Emma, and Ethan. Joseph asserted: \"Emma is a laggard if and only if Olivia is...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"<=>\", [\"lying\", 7], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 7]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or...
{ "split": "train", "index": 35, "n_people": 9, "depth_constraint": 2, "width_constraint": 2, "cell_seed": 9020261007, "source_index": 934 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Luke, Sofia, Evelyn, Joseph, Aurora, Ella, and Sophia. \"it is not the case that (Sophia is an egoist),\" Luke claimed. Sofia asser...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 6], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"ly...
{ "split": "train", "index": 36, "n_people": 7, "depth_constraint": 3, "width_constraint": 4, "cell_seed": 7070261007, "source_index": 426 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Victoria, Jacob, Benjamin, Aurora, Riley, and Ava. According to Victoria, \"if (it is not the case that (if Victoria is a hero then Jacob...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 665, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"...
{ "split": "train", "index": 37, "n_people": 6, "depth_constraint": 4, "width_constraint": 4, "cell_seed": 6100261007, "source_index": 665 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 12 inhabitants: Daniel, Aiden, Michael, Samuel, Amelia, James, Scarlett, Liam, Sebastian, Penelope, Sophia, and Zoey. Daniel asserted: \"if (Amelia is a...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 11]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 10]], [\"->\", [\"lying\", 0], [\"lying\", 10]]]], [\"or\", [\"a...
{ "split": "train", "index": 38, "n_people": 12, "depth_constraint": 4, "width_constraint": 4, "cell_seed": 12100261007, "source_index": 219 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 12 inhabitants: Penelope, Sofia, Emma, Oliver, Liam, Jack, Alexander, Aria, Harper, Matthew, Jacob, and Abigail. \"(Abigail is a villain and (Emma is a ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"and\", [\"and\", [\"lying\", 11], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 6], [\"lying\", 4]]], [\"->\", [\"lying\", 10], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], ...
{ "split": "train", "index": 39, "n_people": 12, "depth_constraint": 4, "width_constraint": 4, "cell_seed": 12100261007, "source_index": 952 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Noah, Emma, Aurora, Zoey, Sofia, Riley, Sebastian, Abigail, and Evelyn. Noah was heard saying, \"(Sofia is a knave if and only if Emma is...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 7]], [\"telling-truth\", 5]], ...
{ "split": "train", "index": 40, "n_people": 9, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 9050261007, "source_index": 277 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Emma, Aria, Elizabeth, Sophia, James, and Logan. As Emma put it, \"if Logan is a knight then James is a knight\". In a statement by Aria:...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 625, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth...
{ "split": "train", "index": 41, "n_people": 6, "depth_constraint": 2, "width_constraint": 4, "cell_seed": 6040261007, "source_index": 625 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 3 inhabitants: Charlotte, Riley, and Daniel. \"if (Charlotte is a sage if and only if Daniel is a sage) then (if Riley is a sage then Daniel is a sage),\" Cha...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2790, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [...
{ "split": "train", "index": 42, "n_people": 3, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 3030261007, "source_index": 2790 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Alexander, Evelyn, Riley, Henry, Owen, and Zoey. \"Evelyn is a devil if and only if Henry is an angel,\" Alexander claimed. Evelyn stated, ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 3], [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-tr...
{ "split": "train", "index": 43, "n_people": 6, "depth_constraint": 2, "width_constraint": 4, "cell_seed": 6040261007, "source_index": 275 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 7 inhabitants: Riley, Aurora, Daniel, Luke, Michael, Harper, and Alexander. Riley remarked, \"it is not the case that (if Aurora is a hero then Daniel i...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 588, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 5], [\"lying\", 2]], [\"not\", [\"lying\"...
{ "split": "train", "index": 44, "n_people": 7, "depth_constraint": 3, "width_constraint": 4, "cell_seed": 7070261007, "source_index": 588 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Samuel, Michael, Sofia, and Ethan. In a statement by Samuel: \"Michael is a sage\". Michael was heard saying, \"Samuel is a fool if and only if...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 652, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]], ...
{ "split": "train", "index": 45, "n_people": 4, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 4040261007, "source_index": 652 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 7 inhabitants: William, Penelope, Matthew, James, Abigail, Ella, and Amelia. William was heard saying, \"if (Matthew is a sage or James is a sage or Penelope ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 91, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]...
{ "split": "train", "index": 46, "n_people": 7, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 7060261007, "source_index": 91 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Jackson, Jack, Penelope, and Abigail. Riley remarked, \"it is not the case that (Jackson is a knight or Abigail is a knight)\". As...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"->\"...
{ "split": "train", "index": 47, "n_people": 5, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 5040261007, "source_index": 219 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 3 inhabitants: Penelope, Lily, and Emma. Penelope stated, \"(Emma is a villain if and only if Emma is a hero) or (Lily is a hero if and only if Emma is ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2770, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"lying\", 0], [\"<=>\", [\...
{ "split": "train", "index": 48, "n_people": 3, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 3040261007, "source_index": 2770 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 12 inhabitants: Noah, Abigail, Riley, Samuel, Sofia, Isabella, Ava, Sebastian, Aurora, Oliver, William, and David. Noah asserted: \"it is not the case tha...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 11], [\"telling-truth\", 9]]], [\"lying\", 10], [\"not\", [\"not\", [\"lying\", 11]]], [\"telling-truth\", 5], [\"and\", [\"or\", [\"lying\", 8], [\"lying\", 1...
{ "split": "train", "index": 49, "n_people": 12, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 12050261007, "source_index": 936 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 12 inhabitants: Isabella, Amelia, Penelope, James, Scarlett, Alexander, Jack, Aiden, Lucas, Evelyn, Logan, and Samuel. As Isabella put it, \"((Penelope ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 10]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 11]]...
{ "split": "train", "index": 50, "n_people": 12, "depth_constraint": 4, "width_constraint": 2, "cell_seed": 12080261007, "source_index": 892 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Alexander, William, Ella, and Mia. As Alexander put it, \"if (William is an angel) then (Mia is a devil and William is a devil)\". William ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2472, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telli...
{ "split": "train", "index": 51, "n_people": 4, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 4040261007, "source_index": 2472 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Emma, Alexander, Jackson, and Lily. Emma told you that Alexander is a laggard. Alexander was heard saying, \"(if Jackson is a lagga...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2837, \"statements\": [[\"lying\", 1], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"telling-...
{ "split": "train", "index": 52, "n_people": 4, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 4040261007, "source_index": 2837 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Grace, Amelia, and Chloe. Emily was heard saying, \"Grace is a hero or Grace is a villain or Chloe is a hero\". \"if Grace is a he...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1422, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]],...
{ "split": "train", "index": 53, "n_people": 4, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 4020261007, "source_index": 1422 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Evelyn, Charlotte, Amelia, Lucas, Grace, Samuel, Mia, James, and Elizabeth. Evelyn was heard saying, \"(Lucas is an egoist if and o...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-...
{ "split": "train", "index": 54, "n_people": 9, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 9050261007, "source_index": 243 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: William, Jackson, Daniel, Aurora, Chloe, Avery, Ava, Sophia, and Lily. William asserted: \"Ava is a devil and Jackson is a devil\". Jackson...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 186, \"statements\": [[\"and\", [\"lying\", 6], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"telling-tr...
{ "split": "train", "index": 55, "n_people": 9, "depth_constraint": 2, "width_constraint": 2, "cell_seed": 9020261007, "source_index": 186 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Mason, Evelyn, Luke, James, Oliver, Sebastian, and Sofia. \"Oliver is an altruist if and only if ((James is an altruist or Luke is ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"or\", [\"->\", [\"telling-truth\"...
{ "split": "train", "index": 56, "n_people": 7, "depth_constraint": 4, "width_constraint": 2, "cell_seed": 7080261007, "source_index": 256 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 7 inhabitants: Henry, Zoey, Owen, Grace, Penelope, Aria, and Jackson. According to Henry, \"(if Owen is a laggard then Aria is a pioneer) and (Gra...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 404, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"te...
{ "split": "train", "index": 57, "n_people": 7, "depth_constraint": 3, "width_constraint": 4, "cell_seed": 7070261007, "source_index": 404 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Matthew, Oliver, Mia, and Grace. According to Matthew, \"Oliver is a sinner\". \"Grace is a sinner or Matthew is a saint or Matthew is a ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2733, \"statements\": [[\"lying\", 1], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 2]], \"solution\": [false, true, true, false], \"names...
{ "split": "train", "index": 58, "n_people": 4, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 4020261007, "source_index": 2733 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 11 inhabitants: Oliver, Mia, Grace, Elizabeth, James, Amelia, Jacob, Aria, Owen, Logan, and Michael. Oliver remarked, \"it is not the case that (i...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 365, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 7]], [\"not\", [\"telling-truth...
{ "split": "train", "index": 59, "n_people": 11, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 11060261007, "source_index": 365 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 7 inhabitants: Liam, David, Michael, Victoria, Penelope, James, and Amelia. Liam remarked, \"Amelia is a villain or David is a hero or James is a villai...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 700, \"statements\": [[\"or\", [\"lying\", 6], [\"telling-truth\", 1], [\"lying\", 5], [\"lying\", 1]], [\"not\", [\"lying\", 5]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]], [\"or\", [\"lying\", 5], [\"lying\", 0]...
{ "split": "train", "index": 60, "n_people": 7, "depth_constraint": 2, "width_constraint": 4, "cell_seed": 7040261007, "source_index": 700 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 8 inhabitants: Victoria, Emily, Joseph, Penelope, Aria, Zoey, Benjamin, and Lucas. Victoria stated, \"(Aria is a fool) if and only if (Lucas is a fool or Jose...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 680, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 7], [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"or\", [\"lying\", 5], [...
{ "split": "train", "index": 61, "n_people": 8, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 8060261007, "source_index": 680 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Chloe, Harper, Zoey, and Samuel. In a statement by Chloe: \"Harper is a saint or Zoey is a saint or Chloe is a saint\". Harper stated, \"...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2841, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]],...
{ "split": "train", "index": 62, "n_people": 4, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 4020261007, "source_index": 2841 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 10 inhabitants: Aiden, Owen, Amelia, Harper, Avery, Penelope, Sebastian, Logan, James, and Ella. \"Sebastian is a fool,\" Aiden claimed. Owen was heard saying...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 981, \"statements\": [[\"lying\", 6], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-t...
{ "split": "train", "index": 63, "n_people": 10, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 10030261007, "source_index": 981 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 3 inhabitants: Logan, Henry, and Abigail. According to Logan, \"(Logan is a saint and Abigail is a saint) or (Henry is a sinner or Henry is a saint)\". ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 847, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\", [\"<=>\", [\"telling...
{ "split": "train", "index": 64, "n_people": 3, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 3030261007, "source_index": 847 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emily, Jackson, Elizabeth, Evelyn, and Harper. Emily asserted: \"Elizabeth is a hero and Jackson is a villain\". In Jackson's words: \"Em...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 360, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4...
{ "split": "train", "index": 65, "n_people": 5, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 5020261007, "source_index": 360 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Daniel, Aiden, Emma, Samuel, Chloe, Penelope, David, Ella, and Oliver. In Daniel's words: \"Aiden is an angel\". \"if Oliver is a devil the...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"lying\", 8], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 5], [\"lying\", 8]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [...
{ "split": "train", "index": 66, "n_people": 9, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 9030261007, "source_index": 787 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Abigail, Victoria, Mia, Michael, and Charlotte. As Abigail put it, \"Michael is a fool\". \"if (Victoria is a sage and Charlotte is a fool) the...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 2...
{ "split": "train", "index": 67, "n_people": 5, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 5030261007, "source_index": 779 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Avery, Elizabeth, Benjamin, and Luke. Sophia stated, \"(Elizabeth is a knight) or (Sophia is a knight or Elizabeth is a knave or ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1576, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"lying\", 4]], [\"lying\", 4], [\"not\", [\"->\", [\"telling-truth\", 1], [\"tellin...
{ "split": "train", "index": 68, "n_people": 5, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 5040261007, "source_index": 1576 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ava, Lucas, Jack, Liam, Penelope, Olivia, Jacob, Evelyn, and Ella. Ava asserted: \"Jack is an angel and (it is not the case that (Liam is a...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"telling-truth\", 4]]...
{ "split": "train", "index": 69, "n_people": 9, "depth_constraint": 4, "width_constraint": 2, "cell_seed": 9080261007, "source_index": 459 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 11 inhabitants: Sebastian, Victoria, Emma, Grace, Jackson, Matthew, Amelia, Mia, Charlotte, Jack, and Ava. Sebastian said that Grace is an angel. Victoria...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 352, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 6]], [\"and\", [\"lying\", 9], [\"telling-truth\", 10]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 4]...
{ "split": "train", "index": 70, "n_people": 11, "depth_constraint": 4, "width_constraint": 2, "cell_seed": 11080261007, "source_index": 352 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Aiden, Avery, Victoria, Riley, Lucas, Daniel, and Aurora. \"it is not the case that (if Victoria is an altruist then Daniel is an a...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 624, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"tel...
{ "split": "train", "index": 71, "n_people": 7, "depth_constraint": 3, "width_constraint": 4, "cell_seed": 7070261007, "source_index": 624 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 11 inhabitants: Amelia, Aurora, Lucas, Michael, Mia, Luke, Ava, Emily, Oliver, Emma, and Owen. \"((if Emily is a villain then Aurora is a villain) if an...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 10]]], [\"or\", [\"<=>\", [\"lying\", 9], [\"telling-truth\", 6]], [\"or\", [\"telling-truth...
{ "split": "train", "index": 72, "n_people": 11, "depth_constraint": 4, "width_constraint": 2, "cell_seed": 11080261007, "source_index": 918 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Chloe, Harper, Alexander, Isabella, William, Benjamin, Sofia, Sebastian, and Emma. According to Chloe, \"if (Benjamin is a sage if and only if ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 596, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 8], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 8]], [\"telling-...
{ "split": "train", "index": 73, "n_people": 9, "depth_constraint": 3, "width_constraint": 4, "cell_seed": 9070261007, "source_index": 596 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aria, Lily, Sophia, Jack, and Henry. Aria was heard saying, \"Henry is a hero\". In Lily's words: \"if Aria is a hero then Henry is a her...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2237, \"statements\": [[\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"tel...
{ "split": "train", "index": 74, "n_people": 5, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 5020261007, "source_index": 2237 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 11 inhabitants: Sebastian, Jack, David, Luke, Aria, Henry, Grace, Mason, Oliver, Michael, and Avery. Sebastian said, \"Michael is a sinner.\" \"Henry is...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 691, \"statements\": [[\"not\", [\"telling-truth\", 9]], [\"lying\", 5], [\"not\", [\"lying\", 6]], [\"lying\", 5], [\"<=>\", [\"lying\", 7], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]], [\"telling-...
{ "split": "train", "index": 75, "n_people": 11, "depth_constraint": 2, "width_constraint": 4, "cell_seed": 11040261007, "source_index": 691 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Daniel, Matthew, Lucas, Mason, Lily, Benjamin, Evelyn, and Owen. Jack commented, \"((if Benjamin is an egoist then Lucas is a...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 93, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0]], [\"not\", [\"telling...
{ "split": "train", "index": 76, "n_people": 9, "depth_constraint": 4, "width_constraint": 4, "cell_seed": 9100261007, "source_index": 93 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Lucas, Alexander, Sophia, Scarlett, Abigail, Owen, Evelyn, Jacob, and Charlotte. According to Lucas, \"Charlotte is a villain or Abigail ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"or\", [\"lying\", 8], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]], [\"or\", [\"lying\", 7], [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 5], [\"...
{ "split": "train", "index": 77, "n_people": 9, "depth_constraint": 2, "width_constraint": 2, "cell_seed": 9020261007, "source_index": 479 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 10 inhabitants: Mason, Zoey, Scarlett, Alexander, Samuel, David, Luke, Aurora, Abigail, and Lucas. \"(it is not the case that (if Abigail is an al...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 149, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 0], [\"lying\", 5]]]], [\"<=>\...
{ "split": "train", "index": 78, "n_people": 10, "depth_constraint": 4, "width_constraint": 2, "cell_seed": 10080261007, "source_index": 149 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emily, James, Zoey, Oliver, and Olivia. In Emily's words: \"James is a devil and (Oliver is an angel and James is a devil)\". \"it is not t...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3276, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"telling-truth\", 1], [\"and\", [\"and\", [\"telling-trut...
{ "split": "train", "index": 79, "n_people": 5, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 5030261007, "source_index": 3276 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Henry, Alexander, and Joseph. \"(Joseph is a knight if and only if Alexander is a knave) and (Joseph is a knight),\" Henry claimed. Alexa...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3330, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\"...
{ "split": "train", "index": 80, "n_people": 3, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 3040261007, "source_index": 3330 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 12 inhabitants: Aurora, Emma, Isabella, Elizabeth, Michael, Amelia, Alexander, Abigail, Samuel, Daniel, Jacob, and Victoria. Aurora expressed that Eliza...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 190, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 1], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 8], [\"lying\", 7]], [\"telling...
{ "split": "train", "index": 81, "n_people": 12, "depth_constraint": 2, "width_constraint": 2, "cell_seed": 12020261007, "source_index": 190 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 12 inhabitants: Noah, Oliver, Jack, Benjamin, Harper, Riley, Abigail, Ella, Olivia, James, Aiden, and Avery. \"((Jack is a fool and Avery is a fool and Riley ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 85, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 11], [\"telling-truth\", 5], [\"lying\", 1]], [\"or\", [\"telling-truth\", 9], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 4]], [\"or\", [\"...
{ "split": "train", "index": 82, "n_people": 12, "depth_constraint": 4, "width_constraint": 4, "cell_seed": 12100261007, "source_index": 85 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Victoria, James, Evelyn, and Emma. As William put it, \"Evelyn is an egoist if and only if Victoria is an egoist\". Victor...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3116, \"statements\": [[\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], \"solution\": [fa...
{ "split": "train", "index": 83, "n_people": 5, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 5020261007, "source_index": 3116 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 8 inhabitants: Lily, Olivia, Alexander, William, Noah, Emma, Zoey, and Mia. \"Zoey is a knave,\" Lily mentioned. \"(Lily is a knave or Noah is a knave) ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 11, \"statements\": [[\"lying\", 6], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"and\", [\"l...
{ "split": "train", "index": 84, "n_people": 8, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 8050261007, "source_index": 11 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Penelope, James, Emma, Logan, Grace, and Ethan. \"it is not the case that (James is a knave or (Logan is a knave or Emma is a kni...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 623, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 5]]], [\"telling-truth\", 2], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\",...
{ "split": "train", "index": 85, "n_people": 7, "depth_constraint": 4, "width_constraint": 4, "cell_seed": 7100261007, "source_index": 623 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 12 inhabitants: Ava, Noah, Ella, Penelope, Benjamin, Lucas, Jacob, Samuel, Avery, Charlotte, Aurora, and Aria. \"Samuel is an altruist or Charlott...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 148, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"lying\", 9]], [\"or\", [\"lying\", 2], [\"telling-truth\", 8], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 9], [\"telling-truth\", 6]], ...
{ "split": "train", "index": 86, "n_people": 12, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 12030261007, "source_index": 148 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 3 inhabitants: Mason, Henry, and Charlotte. Mason stated, \"(Charlotte is a pioneer) if and only if (Henry is a laggard and Charlotte is a pioneer...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2751, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"->\", [\"or\", [\"lying\", 1],...
{ "split": "train", "index": 87, "n_people": 3, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 3030261007, "source_index": 2751 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 12 inhabitants: Charlotte, Joseph, Mason, Amelia, Isabella, Samuel, Riley, Victoria, Abigail, Sophia, Aria, and Jackson. \"it is not the case that ((Jos...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 395, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 7], [\"lying\", 0]], [\"tellin...
{ "split": "train", "index": 88, "n_people": 12, "depth_constraint": 4, "width_constraint": 4, "cell_seed": 12100261007, "source_index": 395 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 10 inhabitants: Ella, Matthew, Amelia, Emily, Luke, Lucas, Aiden, Oliver, Jackson, and Sophia. In a statement by Ella: \"Oliver is an altruist\". ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"telling-truth\", 9], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]]], [\"or\", [\"->\", [\"->\", [\"telling-truth\...
{ "split": "train", "index": 89, "n_people": 10, "depth_constraint": 4, "width_constraint": 3, "cell_seed": 10090261007, "source_index": 935 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 3 inhabitants: Alexander, Zoey, and Riley. Alexander commented, \"Riley is an egoist and (if Alexander is an altruist then Riley is an altruist)\"...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 635, \"statements\": [[\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"lying\", 0], [\"t...
{ "split": "train", "index": 90, "n_people": 3, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 3040261007, "source_index": 635 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 10 inhabitants: Henry, Avery, Liam, Daniel, Ethan, Amelia, Charlotte, Olivia, Samuel, and Ava. Henry asserted: \"((Daniel is an egoist or Olivia i...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 7], [\"telling-truth\", 4]], [\"lying\", 3]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"or\",...
{ "split": "train", "index": 91, "n_people": 10, "depth_constraint": 4, "width_constraint": 3, "cell_seed": 10090261007, "source_index": 773 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Aurora, William, Samuel, and Luke. In a statement by Aurora: \"if Luke is an altruist then William is an altruist\". In William's w...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1368, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-tru...
{ "split": "train", "index": 92, "n_people": 4, "depth_constraint": 2, "width_constraint": 3, "cell_seed": 4020261007, "source_index": 1368 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 8 inhabitants: Owen, Alexander, Elizabeth, Isabella, Michael, Logan, Harper, and James. \"Michael is a sage or Harper is a sage\" - Owen. Alexander remarked, ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 675, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"telling-truth\", 5], [\"and\", [\"lying\", 5], [\"telling-truth\", 5]], [\"or\", [\"lying\", 6], [\"telling-truth\", 2]], [\"and\", [\"lyi...
{ "split": "train", "index": 93, "n_people": 8, "depth_constraint": 2, "width_constraint": 2, "cell_seed": 8020261007, "source_index": 675 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ethan, Avery, Mia, Emma, and Liam. Ethan asserted: \"if (Liam is a fool and Mia is a sage and Avery is a fool) then (Liam is a fool if and only...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1236, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth...
{ "split": "train", "index": 94, "n_people": 5, "depth_constraint": 3, "width_constraint": 3, "cell_seed": 5040261007, "source_index": 1236 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 11 inhabitants: Luke, David, Abigail, Olivia, Jackson, Henry, Alexander, Lucas, Emily, Zoey, and Isabella. In a statement by Luke: \"it is not the case ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 353, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"not\", [\"telling-truth\", 10]], [\"not\", [\"or\", [\"...
{ "split": "train", "index": 95, "n_people": 11, "depth_constraint": 4, "width_constraint": 4, "cell_seed": 11100261007, "source_index": 353 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Harper, Lily, Sofia, and Zoey. Matthew was heard saying, \"Zoey is a laggard and (Harper is a pioneer if and only if Harpe...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 178, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"lying\", 4], [\"not\", [\"not\", [\"lying\", 0]]], [\"or\", [\"not\", [\"lying\"...
{ "split": "train", "index": 96, "n_people": 5, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 5030261007, "source_index": 178 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Zoey, Harper, Emily, Abigail, Ella, Penelope, Samuel, Ethan, and Noah. Zoey said, \"Harper is a pioneer and Samuel is a laggard.\" ...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 20, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"lying\", 6]], [\"not\", [\"telling-truth\", 8]], [\"or\", [\"lying\", 7], [\"telling-truth\", 8], [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"lyi...
{ "split": "train", "index": 97, "n_people": 9, "depth_constraint": 2, "width_constraint": 4, "cell_seed": 9040261007, "source_index": 20 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Samuel, James, Victoria, Aiden, Joseph, and Riley. Samuel asserted: \"Victoria is an angel\". James asserted: \"if (((Aiden is a devil if a...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 3]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 0], ...
{ "split": "train", "index": 98, "n_people": 6, "depth_constraint": 5, "width_constraint": 4, "cell_seed": 6110261007, "source_index": 897 }
knights_and_knaves
[ { "role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Riley, Aurora, Noah, and James. \"(Noah is a saint and Aurora is a sinner) if and only if (Noah is a sinner)\" - Riley. \"Aurora is a sai...
logic
{ "style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1559, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"lyin...
{ "split": "train", "index": 99, "n_people": 4, "depth_constraint": 3, "width_constraint": 2, "cell_seed": 4030261007, "source_index": 1559 }