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reasoning_gym
[{"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: Jackson, Ethan, Joseph, Sebastian, Aiden, Scarlett, Daniel, Lily, and Isabella. Jackson commented, \"(it is not the case that (if Lily is a fool then Scarl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 144, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 5]]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1], [\"lying\", 7]], [\"lying\", 2]]], [\"lying\", 7], [\"not\", [\"and\", [\"...
{"split": "train", "index": 15700}
reasoning_gym
[{"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: Daniel, Harper, Lily, Luke, Mia, Scarlett, Ella, Henry, and Oliver. Daniel noted, \"((if Harper is a villain then Oliver is a hero) or (Luke is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 145, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 3], [\"lying\", 7], [\"telling-truth\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]], ...
{"split": "train", "index": 15701}
reasoning_gym
[{"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: Ava, Victoria, Mia, Evelyn, Logan, Olivia, Lily, James, and Isabella. Ava noted, \"(it is not the case that (if Isabella is a fool then Mia is a sage)) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 146, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 6]], [\"<=>\", [\"lying\", 5], [\"o...
{"split": "train", "index": 15702}
reasoning_gym
[{"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: Scarlett, Henry, Abigail, Aiden, Aurora, Lily, Luke, Emily, and Jackson. \"Luke is an egoist,\" Scarlett declared. \"Lily is an altruist and (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 147, \"statements\": [[\"lying\", 6], [\"and\", [\"telling-truth\", 5], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 3]]]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 7], [\"lying\", 3], [\"telling-trut...
{"split": "train", "index": 15703}
reasoning_gym
[{"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: Oliver, Emily, Noah, Elizabeth, Matthew, Evelyn, Sofia, Scarlett, and Lucas. \"Evelyn is a villain,\" Oliver claimed. \"Elizabeth is a hero,\" Emily ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 148, \"statements\": [[\"lying\", 5], [\"not\", [\"lying\", 3]], [\"telling-truth\", 0], [\"telling-truth\", 6], [\"telling-truth\", 2], [\"telling-truth\", 7], [\"telling-truth\", 4], [\"not\", [\"and\", [\"not\", [\"lying\",...
{"split": "train", "index": 15704}
reasoning_gym
[{"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: Jackson, Riley, Avery, Grace, Matthew, Harper, Mia, Owen, and Amelia. According to Jackson, \"Amelia is a pioneer or ((Amelia is a pioneer or M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 149, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"lying\", 4]], [\"not\", [\"lying\", 8]]]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"telli...
{"split": "train", "index": 15705}
reasoning_gym
[{"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 9 inhabitants: Lily, Alexander, Mason, Amelia, Matthew, Samuel, Grace, Chloe, and Ava. \"Grace is a saint\" - Lily. Alexander said that Ava is a saint. Mason commen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 150, \"statements\": [[\"telling-truth\", 6], [\"telling-truth\", 8], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"lying\", 7]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"and\", [\...
{"split": "train", "index": 15706}
reasoning_gym
[{"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: Zoey, Charlotte, Henry, Alexander, Jackson, Sophia, Ethan, Aurora, and Ava. As Zoey put it, \"Charlotte is a knight or Charlotte is a knave or Ethan ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 151, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 6]], [\"or\", [\"not\", [\"not\", [\"lying\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]], [\"or\", [\"lying\", 5], [\"lyi...
{"split": "train", "index": 15707}
reasoning_gym
[{"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 9 inhabitants: Henry, Chloe, Sofia, Mia, Olivia, Scarlett, Owen, Aria, and Michael. Henry said that (if (Chloe is a saint and Sofia is a saint) then (if Michael is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 152, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 8], [\"lyin...
{"split": "train", "index": 15708}
reasoning_gym
[{"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: Olivia, Jackson, Ava, Benjamin, Logan, James, Liam, Zoey, and Aurora. Olivia remarked, \"if ((Aurora is a hero) and (Zoey is a villain and Aurora is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 153, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 7], [\"telling-truth\", 8]], [\"not\", [\"lying\", 3]]], [\"->\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"tellin...
{"split": "train", "index": 15709}
reasoning_gym
[{"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: Samuel, Abigail, Isabella, Ava, Aiden, Luke, Aria, Jack, and Jackson. Samuel commented, \"((Isabella is a fool) and (Jack is a sage and Aria is a sage)) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 154, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"telling-...
{"split": "train", "index": 15710}
reasoning_gym
[{"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: Avery, Henry, Alexander, James, Grace, Benjamin, Charlotte, Victoria, and Lucas. Avery said, \"(if (Henry is a fool or Henry is a sage or Grace is a fool) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 155, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]], [\"->\"...
{"split": "train", "index": 15711}
reasoning_gym
[{"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: Noah, Matthew, Luke, Samuel, Benjamin, Aria, Jacob, Riley, and Penelope. \"if Riley is a laggard then Samuel is a laggard,\" Noah claimed. Acco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 156, \"statements\": [[\"->\", [\"lying\", 7], [\"lying\", 3]], [\"and\", [\"->\", [\"lying\", 8], [\"and\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"and\", [\"ly...
{"split": "train", "index": 15712}
reasoning_gym
[{"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: Zoey, Alexander, Harper, James, Olivia, Riley, Ella, Charlotte, and Noah. Zoey asserted: \"Olivia is a sage if and only if (if (if Alexander is a sage then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 157, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 6]], [\"->\", [\"lying\", 3], [\"telling-truth\", 5]]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"tell...
{"split": "train", "index": 15713}
reasoning_gym
[{"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: Harper, Scarlett, Emma, Samuel, Noah, Sophia, Lucas, Grace, and Penelope. Harper said, \"it is not the case that (if (Sophia is a pioneer and S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 158, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]]]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"l...
{"split": "train", "index": 15714}
reasoning_gym
[{"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, Emma, Abigail, Lily, William, Ella, Grace, Penelope, and James. \"((Lily is a hero) if and only if Grace is a hero) and ((if Grace is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 159, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 6]], [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 5]], [\"telling-truth\", 0], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]]...
{"split": "train", "index": 15715}
reasoning_gym
[{"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, Lucas, Jack, Alexander, Evelyn, Mia, Matthew, Sebastian, and Aiden. Zoey remarked, \"it is not the case that (Evelyn is a pioneer or (Mia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 160, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"lying\", 6]]], [\"or\", [\"->\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [...
{"split": "train", "index": 15716}
reasoning_gym
[{"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: Abigail, Riley, Samuel, Sebastian, Henry, Aria, Owen, James, and Sofia. Abigail stated, \"Owen is a villain\". Riley said, \"Owen is a hero.\" Samuel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 161, \"statements\": [[\"lying\", 6], [\"telling-truth\", 6], [\"telling-truth\", 5], [\"or\", [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"lying\", 8]], [\"not\", [\"and\", [\"and\", ...
{"split": "train", "index": 15717}
reasoning_gym
[{"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: Alexander, Emma, Aiden, Riley, Sebastian, Sofia, Lily, Charlotte, and Noah. In Alexander's words: \"Lily is a fool if and only if ((Charlotte is a fool and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 162, \"statements\": [[\"<=>\", [\"lying\", 6], [\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\...
{"split": "train", "index": 15718}
reasoning_gym
[{"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: Riley, Abigail, Oliver, Ethan, Liam, Owen, Mason, Matthew, and Mia. \"it is not the case that ((if Ethan is a hero then Mia is a villain) and (Abigai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 163, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]], [\"and\", [\"lying\", 4], [\"lying\", 3]]]], [\"<=>\", [\"telling-truth\", 8], [\"t...
{"split": "train", "index": 15719}
reasoning_gym
[{"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: Emma, Mason, Chloe, Oliver, Abigail, Michael, Logan, Amelia, and Riley. According to Emma, \"Michael is a fool\". According to Mason, \"it is not the case ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 164, \"statements\": [[\"lying\", 5], [\"not\", [\"->\", [\"lying\", 7], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]]]], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lyin...
{"split": "train", "index": 15720}
reasoning_gym
[{"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 9 inhabitants: Noah, Scarlett, Daniel, David, Luke, Logan, Emily, Zoey, and Joseph. \"David is a saint\" - Noah. Scarlett expressed that (if (if Luke is a sinner th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 165, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 0]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 0]], [\"and\", [\"telling-truth\", 4], [...
{"split": "train", "index": 15721}
reasoning_gym
[{"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 9 inhabitants: Oliver, Evelyn, Elizabeth, Charlotte, Henry, David, Emma, Sophia, and Jackson. Oliver asserted: \"((Evelyn is a saint or Henry is a sinner) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 166, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 5]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", ...
{"split": "train", "index": 15722}
reasoning_gym
[{"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 9 inhabitants: Sofia, Luke, Avery, Riley, Harper, Daniel, Mia, Scarlett, and Ava. Sofia said that Harper is a saint. Luke stated, \"if Harper is a saint then ((Harp...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 167, \"statements\": [[\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 7]]]], [\"<=>\", [\"not\", [\"and\", [\...
{"split": "train", "index": 15723}
reasoning_gym
[{"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: Henry, Aiden, Daniel, Olivia, Ava, Abigail, Owen, Aurora, and William. Henry asserted: \"it is not the case that ((Ava is a sage or Daniel is a sage or Dan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 168, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]]]], [\"telling-truth\", 4], [\"and\", [\"not\", [\"not\", [\"...
{"split": "train", "index": 15724}
reasoning_gym
[{"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: William, Mason, Matthew, David, Lily, Ethan, Logan, Sebastian, and Evelyn. As William put it, \"Evelyn is a knight\". Mason stated, \"(it is not the ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 169, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"lying\", 8]], [\"telling-truth\", 6], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth...
{"split": "train", "index": 15725}
reasoning_gym
[{"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 9 inhabitants: Samuel, Avery, Oliver, Noah, Luke, Liam, Chloe, Lucas, and William. According to Samuel, \"Noah is a saint\". In a statement by Avery: \"(Noah is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 170, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 0]]], [\"telling-truth\", 6]],...
{"split": "train", "index": 15726}
reasoning_gym
[{"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 9 inhabitants: Riley, Logan, David, Olivia, Ethan, Chloe, Evelyn, Scarlett, and Ava. According to Riley, \"(if (Evelyn is a saint or Scarlett is a saint or Riley is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 171, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 1]]]]...
{"split": "train", "index": 15727}
reasoning_gym
[{"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: Sophia, Chloe, Isabella, Samuel, Aurora, Daniel, James, Victoria, and Sebastian. \"((Sebastian is an altruist) if and only if (Sebastian is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 172, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"and\", [\"lying\", 7], [\"lying\", 8]]]], ...
{"split": "train", "index": 15728}
reasoning_gym
[{"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: Logan, Owen, Joseph, Matthew, Charlotte, Victoria, Sofia, Harper, and Abigail. As Logan put it, \"Joseph is a hero\". Owen commented, \"Charlotte is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 173, \"statements\": [[\"not\", [\"lying\", 2]], [\"lying\", 4], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 0]]]], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\"...
{"split": "train", "index": 15729}
reasoning_gym
[{"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: Aria, James, Jacob, Riley, Victoria, Benjamin, Evelyn, William, and Aurora. Aria remarked, \"it is not the case that (James is an altruist if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 174, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6]]]], [\"or\", [\"and\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 2], [\"lying\", 8], [\"te...
{"split": "train", "index": 15730}
reasoning_gym
[{"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: Joseph, Henry, Sofia, Emily, Matthew, Jacob, Scarlett, Elizabeth, and Michael. \"Elizabeth is a sage if and only if (if (Henry is a fool and Matthew is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 175, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 7]]]], [\"telling-truth\", 6], [\"or\", [\"or\", [\"or\"...
{"split": "train", "index": 15731}
reasoning_gym
[{"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: Lily, Ava, Liam, Evelyn, Aurora, Noah, Avery, Logan, and Henry. \"Ava is a knight,\" Lily declared. \"if (if (Logan is a knight and Henry is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 176, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\...
{"split": "train", "index": 15732}
reasoning_gym
[{"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: Noah, Jacob, Sebastian, Riley, Liam, Avery, Aiden, Henry, and Mason. Noah noted, \"if (if (Henry is a devil and Aiden is an angel and Jacob is a devil)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 177, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 7], [\"telling-truth\", 6], [\"lying\", 1]], [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 2],...
{"split": "train", "index": 15733}
reasoning_gym
[{"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 9 inhabitants: Mason, Jack, Liam, Benjamin, Isabella, Zoey, Emma, William, and Emily. Mason said, \"((Zoey is a saint if and only if Jack is a saint) or (Liam is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 178, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 5], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 5]], [\"not\", [\"l...
{"split": "train", "index": 15734}
reasoning_gym
[{"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: Owen, Lucas, Zoey, Liam, Oliver, Penelope, Sebastian, Emily, and David. According to Owen, \"Sebastian is a hero\". \"(if (Oliver is a hero or Liam i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 179, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"telling-truth\", 6]]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\...
{"split": "train", "index": 15735}
reasoning_gym
[{"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: Logan, Elizabeth, Mason, Aria, Penelope, Emily, Luke, Sophia, and Owen. In Logan's words: \"(if (Emily is a fool and Aria is a sage and Mason is a fool) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 180, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"or\", [\"lying\", ...
{"split": "train", "index": 15736}
reasoning_gym
[{"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: Sebastian, Aria, Mason, Ella, William, Victoria, Luke, Elizabeth, and Daniel. Sebastian told you that if ((Mason is an angel or Victoria is a devil or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 181, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5], [\"lying\", 8]], [\"and\", [\"telling-truth\", 8], [\"lying\", 8], [\"telling-truth\", 7]]], [\"telling-truth\", 5]], [\"and\", [\"and\"...
{"split": "train", "index": 15737}
reasoning_gym
[{"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: Jackson, Logan, Oliver, Grace, Sofia, Ethan, Chloe, Matthew, and Benjamin. \"(Oliver is a fool or Sofia is a sage or (Oliver is a fool and Ethan is a sage)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 182, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"and\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"lying\", 7], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"tell...
{"split": "train", "index": 15738}
reasoning_gym
[{"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: Matthew, Samuel, Noah, Ava, Liam, Aiden, Joseph, Ella, and Avery. As Matthew put it, \"it is not the case that ((Joseph is a knight) if and only if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 183, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 1], [\"lying\", 8]]]], [\"lying\", 8], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"lying\", 0]], [...
{"split": "train", "index": 15739}
reasoning_gym
[{"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: Henry, Joseph, Logan, Samuel, Emily, Chloe, Charlotte, Owen, and Liam. In Henry's words: \"Logan is a fool and (Emily is a fool and (if Samuel is a sage th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 184, \"statements\": [[\"and\", [\"lying\", 2], [\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"telling-truth\", 5]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"or\", [\"lying\", 3], [\"<=>\", [\"...
{"split": "train", "index": 15740}
reasoning_gym
[{"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: James, Ava, Chloe, Noah, Aiden, Abigail, Penelope, Evelyn, and Luke. James told you that if (it is not the case that (Abigail is a fool)) then ((if Evelyn ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 185, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"telling-truth\...
{"split": "train", "index": 15741}
reasoning_gym
[{"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: Amelia, Luke, Charlotte, Matthew, Aiden, Samuel, Alexander, Jackson, and Aurora. Amelia stated, \"if (if (Samuel is a knave) then (if Jackson is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 186, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying...
{"split": "train", "index": 15742}
reasoning_gym
[{"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, Jacob, Zoey, Michael, Ethan, Victoria, Sofia, Lily, and Isabella. Chloe said that Michael is a sage or (it is not the case that (Sofia is a fool and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 187, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 6]]]], [\"->\", [\"->\", [\"or\", [...
{"split": "train", "index": 15743}
reasoning_gym
[{"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 9 inhabitants: Zoey, Grace, Luke, Samuel, William, Sophia, David, Abigail, and Joseph. Zoey remarked, \"((David is a saint if and only if Sophia is a sinner) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 188, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]], [\"and\", [\"telling-truth\", 8], [\"lying\", 6], [\"lying\", 4]]], [\"telling-truth\", 7]], [\"and\", [\"->\", [\"or\", [\"lying\", ...
{"split": "train", "index": 15744}
reasoning_gym
[{"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: Scarlett, Oliver, David, Elizabeth, Aurora, Daniel, Chloe, Liam, and Emma. Scarlett remarked, \"(if Elizabeth is a laggard then (Oliver is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 189, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"<=>\"...
{"split": "train", "index": 15745}
reasoning_gym
[{"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: Aurora, Evelyn, Jack, Amelia, Penelope, Alexander, Grace, Sophia, and Sebastian. Aurora noted, \"if (if (Amelia is a knave and Alexander is a knight ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 190, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"not\", [\"lying\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]], [\"->\", [\"telling-tru...
{"split": "train", "index": 15746}
reasoning_gym
[{"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: Riley, Lucas, Abigail, Sophia, Sofia, James, Elizabeth, Alexander, and Grace. \"((Grace is a villain) and (Abigail is a villain) and (James is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 191, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", ...
{"split": "train", "index": 15747}
reasoning_gym
[{"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: Emma, Jack, Mia, Ethan, Alexander, Isabella, Penelope, James, and William. Emma told you that if (if (William is an egoist or Penelope is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 192, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"lying\", 8]]]...
{"split": "train", "index": 15748}
reasoning_gym
[{"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: David, Emily, Ava, Henry, Scarlett, James, Olivia, Penelope, and Amelia. In David's words: \"Olivia is an egoist if and only if (it is not the ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 193, \"statements\": [[\"<=>\", [\"lying\", 6], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]]]], [\"lying\", 4], [\"and\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"and\", [\"telling-truth\", 0], [\...
{"split": "train", "index": 15749}
reasoning_gym
[{"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: Sofia, Zoey, Samuel, Benjamin, Sebastian, David, Michael, Mason, and Daniel. In Sofia's words: \"it is not the case that ((Zoey is a laggard if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 194, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 6]]], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 0]], [\"and\", [\"telling-truth\"...
{"split": "train", "index": 15750}
reasoning_gym
[{"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: Logan, David, Samuel, Abigail, Mia, Zoey, Chloe, Avery, and Jackson. Logan asserted: \"(it is not the case that (Jackson is a pioneer or Abigai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 195, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 7]]], [\"and\", [\"lying\", 5], [\"<=>\", [\"telling-t...
{"split": "train", "index": 15751}
reasoning_gym
[{"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: Samuel, Avery, William, Logan, Penelope, Emily, Aurora, Matthew, and Sophia. Samuel asserted: \"(it is not the case that (Sophia is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 196, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"or\", [\"not\", [\"lying\", 8]], [\"lying\", 2], [\"not\", [\"telling-truth\", 3]]]], [\"->\", [\"not\", [\"and\", [\"lying\", 5],...
{"split": "train", "index": 15752}
reasoning_gym
[{"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: Mason, Zoey, Amelia, Avery, Victoria, Sebastian, Henry, Evelyn, and Noah. \"((Amelia is an egoist) and (Zoey is an altruist if and only if Noah...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 197, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 3], [\"telling-...
{"split": "train", "index": 15753}
reasoning_gym
[{"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: David, Luke, Sebastian, William, Lucas, Noah, Benjamin, Alexander, and Matthew. In a statement by David: \"it is not the case that (if (William...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 198, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]]]], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"not\", [...
{"split": "train", "index": 15754}
reasoning_gym
[{"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: David, Elizabeth, Liam, Emily, Matthew, Daniel, Henry, Samuel, and Sophia. \"((if Daniel is a devil then Liam is an angel) and (if Elizabeth is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 199, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 1]]...
{"split": "train", "index": 15755}
reasoning_gym
[{"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: Zoey, Henry, Scarlett, Jackson, Daniel, Ella, Isabella, Liam, and Alexander. Zoey remarked, \"((Daniel is a knave or Isabella is a knave) or Ella is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 200, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 6]], [\"lying\", 5]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 6]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"<=...
{"split": "train", "index": 15756}
reasoning_gym
[{"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: Logan, Ella, Mia, Michael, Oliver, Elizabeth, William, Henry, and Owen. According to Logan, \"(if Logan is a pioneer then (Owen is a laggard if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 201, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 6]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [...
{"split": "train", "index": 15757}
reasoning_gym
[{"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: Sebastian, Alexander, Olivia, David, Matthew, Ella, Daniel, Mia, and Noah. Sebastian told you that ((Alexander is an angel or Ella is an angel) and (Se...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 202, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"telling-truth\", 0...
{"split": "train", "index": 15758}
reasoning_gym
[{"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: Ella, Avery, Jacob, Logan, Samuel, Aiden, Owen, Emily, and Joseph. In Ella's words: \"((if Samuel is an altruist then Jacob is an egoist) or (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 203, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"telling-truth\", 5]], [\"<=>\",...
{"split": "train", "index": 15759}
reasoning_gym
[{"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: Grace, Ava, Lucas, Oliver, Henry, Chloe, Zoey, Olivia, and Ella. Grace remarked, \"it is not the case that ((Olivia is a pioneer or Ava is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 204, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]]]], [\"<=>\", [\"<=>\", [\"...
{"split": "train", "index": 15760}
reasoning_gym
[{"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: Jack, Evelyn, Avery, Riley, Jackson, Grace, Amelia, Charlotte, and Luke. In a statement by Jack: \"it is not the case that ((Evelyn is an angel and Ame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 205, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"lying\", 3]]], [\"and\", [\"and\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [...
{"split": "train", "index": 15761}
reasoning_gym
[{"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: James, Michael, Noah, Oliver, Ava, Elizabeth, Aiden, Scarlett, and Olivia. As James put it, \"(if Michael is a knight then (James is a knight or Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 206, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 8]]], [\"->\", [\"and\", [\"<=>\", [\"lying\"...
{"split": "train", "index": 15762}
reasoning_gym
[{"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: Jacob, Olivia, Evelyn, David, Ava, Michael, Oliver, Logan, and Matthew. \"((if David is a fool then Oliver is a fool) or (Evelyn is a sage) or (David is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 207, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 8], [\"lying\", 3], [\"lying\", 7...
{"split": "train", "index": 15763}
reasoning_gym
[{"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: Matthew, Isabella, Victoria, Ava, Logan, Alexander, Emily, Joseph, and Michael. Matthew expressed that if ((Ava is an altruist and Michael is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 208, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 8], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\...
{"split": "train", "index": 15764}
reasoning_gym
[{"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: Daniel, Sophia, Jacob, Aurora, Penelope, David, Abigail, Lily, and Scarlett. Daniel was heard saying, \"Daniel is a sage\". Sophia remarked, \"((if Jacob i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 209, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"tel...
{"split": "train", "index": 15765}
reasoning_gym
[{"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: David, Scarlett, Mia, Ethan, Evelyn, Ella, Michael, Benjamin, and Chloe. David said, \"((if Ella is a villain then Michael is a villain) and (Scarlet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 210, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"telling-truth\", 6]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lyi...
{"split": "train", "index": 15766}
reasoning_gym
[{"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 9 inhabitants: Aria, Isabella, Joseph, Lucas, Ella, Lily, William, Samuel, and Jack. As Aria put it, \"if ((Isabella is a sinner or Lucas is a sinner or William is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 211, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 6]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 4]]]], [\"->\", [\"<=>\"...
{"split": "train", "index": 15767}
reasoning_gym
[{"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 9 inhabitants: Mason, Sofia, Jack, Avery, Riley, Noah, Zoey, William, and Scarlett. Mason was heard saying, \"Noah is a sinner\". Sofia noted, \"(Scarlett is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 212, \"statements\": [[\"lying\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lying\", 8]]], [\"not...
{"split": "train", "index": 15768}
reasoning_gym
[{"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 9 inhabitants: Riley, Henry, Luke, Abigail, Samuel, Daniel, William, Isabella, and Benjamin. Riley remarked, \"((Isabella is a saint or Henry is a sinner) or Willia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 213, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 1]], [\"lying\", 6]], [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]], [\"or\", [\"te...
{"split": "train", "index": 15769}
reasoning_gym
[{"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: James, Amelia, Victoria, Ella, Zoey, Mia, Sophia, Alexander, and Joseph. James told you that if ((if Mia is a sage then Victoria is a sage) or Joseph is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 214, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"telling-truth\", 4], [\"or\"...
{"split": "train", "index": 15770}
reasoning_gym
[{"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: Benjamin, Sofia, Sophia, Luke, Chloe, Ethan, Owen, Lily, and Jackson. Benjamin was heard saying, \"(if (Sofia is an egoist if and only if Ethan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 215, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"tel...
{"split": "train", "index": 15771}
reasoning_gym
[{"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: Jackson, Victoria, Grace, Owen, Scarlett, Harper, Lily, Sophia, and Oliver. Jackson said that (it is not the case that (Scarlett is an angel if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 216, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 7]]], [\"lying\", 6]], [\"not\", [\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 8]], [\"or\...
{"split": "train", "index": 15772}
reasoning_gym
[{"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: Evelyn, Riley, Harper, Emily, Ethan, Samuel, Chloe, William, and Joseph. Evelyn stated, \"((Harper is an angel or Samuel is an angel) and (if Riley is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 217, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lyin...
{"split": "train", "index": 15773}
reasoning_gym
[{"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: Riley, James, Avery, Michael, Aria, Jack, Benjamin, Zoey, and Ella. In a statement by Riley: \"Avery is a fool\". As James put it, \"((Avery is a fool if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 218, \"statements\": [[\"lying\", 2], [\"and\", [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"or\", [\"or\", [\"ly...
{"split": "train", "index": 15774}
reasoning_gym
[{"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, Isabella, Penelope, Jack, Amelia, Zoey, Noah, Ella, and Luke. Aiden said that ((if Luke is a devil then Penelope is a devil) and (Ella is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 8], [\"lying\", 2]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"lying\", 8]], [\"not\", [\"not\", [\"...
{"split": "train", "index": 15775}
reasoning_gym
[{"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: Elizabeth, Lily, Noah, Ethan, Isabella, Lucas, David, Henry, and Aria. Elizabeth noted, \"if ((if Lily is a hero then Aria is a villain) or (Lucas is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 220, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 8]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 5]]], [\"or\", [\"->\", [\"telling-truth\", 7],...
{"split": "train", "index": 15776}
reasoning_gym
[{"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: Noah, Harper, Sophia, Olivia, Sebastian, Daniel, Benjamin, Penelope, and Chloe. \"it is not the case that ((if Noah is an angel then Daniel is a devil)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 221, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"...
{"split": "train", "index": 15777}
reasoning_gym
[{"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: Harper, Lily, Riley, Abigail, Sebastian, Liam, Alexander, Oliver, and Matthew. Harper expressed that it is not the case that (if (Abigail is a devil) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 222, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]]]], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 3]]], [\"not\"...
{"split": "train", "index": 15778}
reasoning_gym
[{"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: Lucas, Michael, Sofia, Grace, Liam, William, Matthew, Evelyn, and James. Lucas stated, \"((Matthew is a pioneer) or (Sofia is a laggard) or (Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 223, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 6]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"...
{"split": "train", "index": 15779}
reasoning_gym
[{"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: Sophia, Aiden, Logan, Emma, Jack, Lucas, Sebastian, Liam, and Oliver. \"if Oliver is an altruist then ((Aiden is an egoist) if and only if (Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 224, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8]]]], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-tr...
{"split": "train", "index": 15780}
reasoning_gym
[{"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: Sofia, Noah, Abigail, Michael, Benjamin, Samuel, Sebastian, Joseph, and Riley. As Sofia put it, \"(if (Abigail is an egoist and Sofia is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 225, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"or\", [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 7]]]], [\"telling-truth\", 4], [\"and\", [\...
{"split": "train", "index": 15781}
reasoning_gym
[{"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: Ella, James, Emma, Sofia, Jackson, Zoey, Luke, Scarlett, and Abigail. Ella remarked, \"if (it is not the case that (Luke is a sage or Ella is a sage)) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 226, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"and\", [\"or\", [\"telli...
{"split": "train", "index": 15782}
reasoning_gym
[{"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: Scarlett, Oliver, Liam, Jack, Ella, Lucas, Sebastian, Owen, and Mia. \"Jack is a fool,\" Scarlett mentioned. Oliver was heard saying, \"((Ella is a sage if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 227, \"statements\": [[\"lying\", 3], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"lying\", 4], [\"<=...
{"split": "train", "index": 15783}
reasoning_gym
[{"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 9 inhabitants: Olivia, Abigail, Aiden, Jacob, Owen, Amelia, Noah, David, and Riley. Olivia said, \"it is not the case that ((Jacob is a sinner or Aiden is a sinner)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 228, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 5]]]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"not\", [\"and\", [\"telling-truth...
{"split": "train", "index": 15784}
reasoning_gym
[{"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: Harper, Olivia, Penelope, Oliver, Sebastian, Chloe, Noah, Elizabeth, and Scarlett. \"if ((if Scarlett is an angel then Sebastian is an angel) or Sebast...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 229, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]],...
{"split": "train", "index": 15785}
reasoning_gym
[{"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: Chloe, Sofia, Samuel, Ava, David, Oliver, Charlotte, Mia, and Lily. As Chloe put it, \"Oliver is a knave\". Sofia said that (Chloe is a knight) and C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 230, \"statements\": [[\"lying\", 5], [\"and\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 6], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7], [\"lying\...
{"split": "train", "index": 15786}
reasoning_gym
[{"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 9 inhabitants: Samuel, Benjamin, Joseph, Olivia, Aurora, Jackson, James, Jacob, and Ella. Samuel told you that ((Jackson is a sinner and Jackson is a saint) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 231, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 6]], [\"and\", [\"lying\", 8], [\"lying\", ...
{"split": "train", "index": 15787}
reasoning_gym
[{"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: Emma, Jack, Ethan, Grace, Mia, Abigail, Sofia, Sophia, and Scarlett. Emma expressed that it is not the case that (it is not the case that (Mia is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 232, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 8], [\"telling-truth\", 3]]]], [\"->\", [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"lying\", 3]], [\"lying\", 5]], [\"lying\", 6]...
{"split": "train", "index": 15788}
reasoning_gym
[{"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 9 inhabitants: Jack, Olivia, Ethan, Liam, Matthew, Benjamin, Noah, Avery, and Sophia. Jack commented, \"((Ethan is a saint and Matthew is a sinner and Benjamin is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 233, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 5]], [\"lying\", 2]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 8], [\"lying\", 3]]]], [\"and\", [\"or\", [\"not\", [...
{"split": "train", "index": 15789}
reasoning_gym
[{"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: Aiden, Matthew, Jack, Jackson, Mason, Charlotte, Ella, Sebastian, and Luke. \"Luke is a knight,\" Aiden mentioned. \"Luke is a knight,\" Matthew ment...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"lying\", 8]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 8]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]]]], [\"telling-truth\", 7], [\"...
{"split": "train", "index": 15790}
reasoning_gym
[{"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: Charlotte, Henry, Isabella, Mia, Jacob, Joseph, Penelope, Abigail, and Elizabeth. According to Charlotte, \"it is not the case that ((Henry is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 235, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]]], [\"<=>\", [\"and\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"lying\", 0], ...
{"split": "train", "index": 15791}
reasoning_gym
[{"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: Jack, Elizabeth, Aria, Jackson, Mia, Daniel, Alexander, James, and Isabella. \"if ((Isabella is a knight and Jack is a knight and Elizabeth is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 236, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying...
{"split": "train", "index": 15792}
reasoning_gym
[{"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: Sebastian, Isabella, Aiden, Sophia, Amelia, Jacob, Samuel, Penelope, and Emily. Sebastian said that Samuel is a sage. Isabella commented, \"(Penelope is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 237, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"->\", [\"lying\", 0], [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 2],...
{"split": "train", "index": 15793}
reasoning_gym
[{"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: Samuel, Logan, Zoey, Oliver, Sebastian, Noah, Alexander, Olivia, and Mason. According to Samuel, \"(if (Sebastian is an altruist and Noah is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 238, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5]], [\"not\", [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 7], [\"te...
{"split": "train", "index": 15794}
reasoning_gym
[{"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: Jackson, Owen, Aurora, William, Amelia, Aria, Evelyn, Luke, and Scarlett. \"((if Amelia is a fool then Aurora is a fool) or (if Amelia is a fool then Owen ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 239, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"tel...
{"split": "train", "index": 15795}
reasoning_gym
[{"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: Mason, Sophia, Logan, Lily, Chloe, David, Michael, Elizabeth, and Charlotte. Mason remarked, \"Sophia is a laggard\". Sophia commented, \"Sophi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 240, \"statements\": [[\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 4], [\"and\", [\"lying\", 7], [\"telling-truth\", 3]], [\"or\", [\"->\", [\"lying\", 8], [\"and\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"<=>\", [...
{"split": "train", "index": 15796}
reasoning_gym
[{"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: Ella, Lucas, Abigail, Chloe, Michael, William, Liam, Oliver, and Benjamin. Ella said, \"Michael is a hero.\" \"it is not the case that ((Benjamin is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"or\", [\"lying\", 8], [\"lying\", 7], [\"telling-truth\", 0]], [\"->\", [\"lying\", 6], [\"lying\", 7]]]], [\"and\", [\"telling-truth\", 5], [\"<=>\", [\"and\...
{"split": "train", "index": 15797}
reasoning_gym
[{"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: Sofia, Emily, Lily, Jacob, Emma, Riley, Mia, Ava, and Aria. Sofia asserted: \"Lily is a knight if and only if ((Jacob is a knave and Emma is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 242, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 8]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"lying\",...
{"split": "train", "index": 15798}
reasoning_gym
[{"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: Victoria, Aiden, Liam, Alexander, Daniel, Benjamin, Grace, Lucas, and Riley. According to Victoria, \"it is not the case that (Aiden is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"lying\", 8], [\"lying\", 7]]]], [\"and\", [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 3], [\"telling-truth\", 7]], [\"telli...
{"split": "train", "index": 15799}