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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: Elizabeth, Penelope, Liam, Jacob, Abigail, Mia, Aurora, Isabella, and Lily. Elizabeth said, \"(if (Abigail is an angel) then (if Jacob is a devil then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1566, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]], [\"not\", [\"telling-truth\", 8]]]], [\"not\", [\"not\"...
{"split": "train", "index": 14900}
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: Olivia, Sofia, Grace, Scarlett, Zoey, Avery, Amelia, David, and Lucas. \"Grace is a knight if and only if ((Sofia is a knight and Sofia is a knave) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1567, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 8], [\"telling-truth\", 1]]]], [\"not\", [\"lying\", 8]], [\"->\", [\"->\", [\"<=>\", [...
{"split": "train", "index": 14901}
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: Amelia, Mia, Ava, Sofia, Sophia, Penelope, James, Jacob, and Samuel. Amelia remarked, \"Ava is an egoist or ((Jacob is an egoist) or (Jacob is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1568, \"statements\": [[\"or\", [\"lying\", 2], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]]]], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [...
{"split": "train", "index": 14902}
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: Abigail, Oliver, Emma, Logan, Evelyn, Ava, Lucas, Henry, and Matthew. \"Ava is a knave,\" Abigail claimed. Oliver asserted: \"it is not the case that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1569, \"statements\": [[\"lying\", 5], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 5]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"or\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]...
{"split": "train", "index": 14903}
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: Lucas, Jackson, Logan, Jack, Riley, Emily, Noah, Henry, and Penelope. Lucas was heard saying, \"(it is not the case that (Riley is a fool or Emily is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1570, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 5]]], [\"not\", [\"lying\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"tel...
{"split": "train", "index": 14904}
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: Sofia, Ethan, Aria, Lily, Avery, Owen, Logan, Evelyn, and Elizabeth. In a statement by Sofia: \"((if Evelyn is a devil then Elizabeth is a devil) or (E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1571, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 8]], [\"not\", [\"telling-truth\", 8]]], [\"telling-truth\", 3]], [\"lying\", 5], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\",...
{"split": "train", "index": 14905}
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: Benjamin, Grace, Avery, Sebastian, Penelope, Logan, Isabella, Victoria, and Chloe. According to Benjamin, \"it is not the case that (if (Benjamin is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1572, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]], [\"lying\", 6]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"lying\",...
{"split": "train", "index": 14906}
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, Sofia, Owen, Evelyn, William, Matthew, Penelope, Jackson, and Henry. Aria commented, \"if Owen is an altruist then Jackson is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1573, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"or\", [\"and\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 0]]], [\"telling-truth\", 4]], [\"<=>\", [\"->\", [\"n...
{"split": "train", "index": 14907}
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: Emily, Ava, Mason, Elizabeth, Michael, Aria, Charlotte, Jacob, and Matthew. Emily told you that ((Mason is a villain and Jacob is a villain) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1574, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 7]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [...
{"split": "train", "index": 14908}
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: Samuel, Liam, Luke, Aiden, Ethan, Lucas, Victoria, Jackson, and Ava. Samuel expressed that ((Samuel is a knight and Luke is a knave) if and only if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1575, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 6], [\"lying\", 2]]]], [\"not\", [\"->...
{"split": "train", "index": 14909}
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, Lily, Harper, Ella, Riley, Henry, David, Grace, and Liam. William asserted: \"((Henry is a knight) and (Ella is a knave or Liam is a knave))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1576, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 3], [\"lying\", 8]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 8]], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"->\", [\"telli...
{"split": "train", "index": 14910}
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: Jack, Jackson, James, Owen, Evelyn, Daniel, Grace, Sofia, and Mason. \"James is an egoist,\" Jack claimed. According to Jackson, \"(it is not t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1577, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"or\",...
{"split": "train", "index": 14911}
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, Harper, Ava, Sebastian, James, Isabella, Michael, Avery, and Penelope. \"if Michael is a hero then (it is not the case that (James is a hero a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1578, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"lying\", 8], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]]]], [\"...
{"split": "train", "index": 14912}
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: Abigail, Lucas, Joseph, Chloe, Emma, Henry, Grace, Mia, and Aiden. \"Emma is an angel,\" Abigail claimed. Lucas said, \"if ((if Lucas is an angel then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1579, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 8]], [\"telling-truth\", 8], [\"and\", [\"lying\", 0],...
{"split": "train", "index": 14913}
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: Penelope, Emma, Sebastian, Scarlett, Victoria, Lucas, Aria, Aurora, and Elizabeth. Penelope asserted: \"Victoria is a pioneer\". Emma stated, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1580, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]]]], [\...
{"split": "train", "index": 14914}
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: Alexander, Luke, Emma, Lily, Ethan, Charlotte, Olivia, Evelyn, and Lucas. Alexander asserted: \"Olivia is an altruist\". Luke stated, \"it is n...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1581, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]]]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 8]], [\"not\", [\"telling-truth\", 8]]], [\"or\", ...
{"split": "train", "index": 14915}
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: Victoria, Aurora, Logan, Michael, David, Ella, Harper, James, and Ava. In a statement by Victoria: \"((James is an angel or Aurora is a devil) and (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1582, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]]]], [\"<=>\", [\"or\", ...
{"split": "train", "index": 14916}
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: Lucas, William, Jackson, Grace, Sofia, Harper, Chloe, Alexander, and Benjamin. Lucas commented, \"Chloe is a sinner\". William was heard saying, \"(i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1583, \"statements\": [[\"lying\", 6], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"lying\", 3]]], [\"lying\", 5]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying...
{"split": "train", "index": 14917}
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: Luke, Samuel, Sophia, James, Amelia, Elizabeth, Jackson, Owen, and Charlotte. Luke commented, \"(if (Samuel is a pioneer or James is a pioneer)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1584, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 8]], [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 3]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6]]]...
{"split": "train", "index": 14918}
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: Lily, Daniel, Riley, Owen, Luke, Michael, Amelia, Logan, and Mia. Lily said, \"(Amelia is a devil or (Riley is an angel)) and ((Luke is a devil or Amel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1585, \"statements\": [[\"and\", [\"or\", [\"lying\", 6], [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 8], [\"lying\", 3]]]], [\"and\", [\"or\", [\"telling-truth\...
{"split": "train", "index": 14919}
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: Sebastian, Harper, Liam, Joseph, Michael, Chloe, Henry, Scarlett, and Oliver. Sebastian stated, \"(if (if Scarlett is a knave then Joseph is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1586, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 5]], [\"and\", [\"telling-truth\", 8], [\"telling-t...
{"split": "train", "index": 14920}
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: Benjamin, Jack, Amelia, Aurora, Grace, Sophia, David, Chloe, and Abigail. \"((if Sophia is a devil then Aurora is a devil) if and only if (Amelia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1587, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]]]], [...
{"split": "train", "index": 14921}
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: Liam, Henry, Michael, Lily, Sophia, Olivia, Penelope, Owen, and David. As Liam put it, \"Penelope is a fool\". Henry remarked, \"(Olivia is a fool and Soph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1588, \"statements\": [[\"lying\", 6], [\"<=>\", [\"and\", [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 6]], [\"and\", [\"telling-truth\", 5], [\"lying\", 8]]]], [\"<=>\", [\"<=>\", [\"->\",...
{"split": "train", "index": 14922}
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, Ethan, Sophia, Owen, Emma, David, William, Sofia, and Liam. According to James, \"(James is a knight if and only if (Owen is a knight or Liam ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1589, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]]]], [\"or\", [\"and\", [\"or\", [\"telling-truth\"...
{"split": "train", "index": 14923}
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, Abigail, Michael, Aiden, Henry, Alexander, Emma, Sofia, and Elizabeth. Mason expressed that Henry is a laggard if and only if (Alexander...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1590, \"statements\": [[\"<=>\", [\"lying\", 4], [\"and\", [\"lying\", 5], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]]]], [\"or\", [\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", ...
{"split": "train", "index": 14924}
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: Elizabeth, Mia, Sophia, Lily, Harper, Abigail, Scarlett, Amelia, and Jack. Elizabeth expressed that if ((Elizabeth is a knight or Mia is a knight) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1591, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"->\...
{"split": "train", "index": 14925}
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: Noah, Luke, Abigail, Harper, Grace, Ella, Mason, Joseph, and Victoria. Noah said, \"Mason is a fool or Grace is a sage.\" In Luke's words: \"(if (Harper is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1592, \"statements\": [[\"or\", [\"lying\", 6], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 5], [\"lying\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"t...
{"split": "train", "index": 14926}
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, Michael, Samuel, Mason, David, Aurora, Noah, Matthew, and Abigail. Ava asserted: \"((David is a sage and Samuel is a sage) or (if Michael is a fool th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1593, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-t...
{"split": "train", "index": 14927}
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: Liam, Michael, Isabella, Penelope, Henry, Ella, Avery, Sebastian, and David. Liam said, \"Penelope is a hero.\" Michael commented, \"Liam is a hero a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1594, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"and\", [\"lying\", 8], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]...
{"split": "train", "index": 14928}
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: Evelyn, Henry, Jack, Riley, Lucas, Sebastian, Logan, Abigail, and David. Evelyn said that ((if David is a pioneer then Logan is a pioneer) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1595, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"telling-truth\", 6]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8]], [\"<=>\", [\"lying\", 1], [\"lying\", 5...
{"split": "train", "index": 14929}
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: Logan, William, Mason, Mia, Victoria, Zoey, Noah, Penelope, and Henry. In a statement by Logan: \"it is not the case that ((if Logan is a knight then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1596, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"telling-truth\", 5]]], [\"<=>\", [\"and\", [\"->\", [\"lying\", 8], [\"lying\", 7]], [\"->\", [\"telling-truth\", 4], [\"l...
{"split": "train", "index": 14930}
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: Emma, Matthew, Mia, James, Sebastian, David, Victoria, Zoey, and Daniel. In Emma's words: \"(if (Sebastian is a hero and Sebastian is a villain) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1597, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"lying\", 8]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"...
{"split": "train", "index": 14931}
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: Chloe, Charlotte, Daniel, Lucas, Avery, Grace, Zoey, Ethan, and Alexander. \"Avery is a villain and ((Alexander is a hero if and only if Zoey is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1598, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 3], [\"lying\", 7]]]], [\"and\", [\"and\", [\"and\", [\"lying\", 8], [\"lying\"...
{"split": "train", "index": 14932}
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: Penelope, Charlotte, Zoey, Logan, Jacob, Ava, Luke, Sofia, and Riley. Penelope was heard saying, \"((Penelope is a hero and Zoey is a villain) and (C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1599, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"lying\", 4], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]]], [\"not\", [\"not\", [\"or\...
{"split": "train", "index": 14933}
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: Mason, James, Abigail, Jackson, Charlotte, Elizabeth, Penelope, Aria, and William. \"((if Charlotte is a fool then Elizabeth is a fool) or (William is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1600, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 5]], [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 8]]]], [\"<=>\", [\"and\", [\"not\", [\"telling...
{"split": "train", "index": 14934}
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, Mason, William, Charlotte, Olivia, Logan, James, Ella, and Harper. \"it is not the case that (if (Charlotte is a pioneer) then William is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1601, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 0], [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 6], [\"telling-...
{"split": "train", "index": 14935}
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, Ava, Grace, Ella, Sophia, Benjamin, Lily, Liam, and Jack. \"(Ava is a pioneer if and only if (Sophia is a laggard and Liam is a pioneer))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1602, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 3], [\"lying\", 6]]]], [...
{"split": "train", "index": 14936}
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: Abigail, James, Owen, Alexander, Jackson, Emily, Matthew, Noah, and Benjamin. According to Abigail, \"Alexander is a laggard\". James noted, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1603, \"statements\": [[\"lying\", 3], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 6]]], [\...
{"split": "train", "index": 14937}
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: Sophia, Emma, Amelia, Joseph, Ethan, Evelyn, Ella, Scarlett, and Daniel. According to Sophia, \"((Ella is a villain or Scarlett is a hero) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1604, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 7]], [\"lying\", 2]], [\"telling-truth\", 8]], [\"<=>\", [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 7]], [\"->\", [\"telling-truth\", 1...
{"split": "train", "index": 14938}
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, Logan, Samuel, Abigail, Chloe, Sofia, Aurora, Lily, and Sebastian. As Emma put it, \"(Sebastian is a knight and (Samuel is a knight)) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1605, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 8], [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 6], [\"lying\", 7]], [\"lying\", 4]]], [\"or\", [\"->\", [\"and\", [\"lying\", 6], [\"telling...
{"split": "train", "index": 14939}
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: Michael, Aiden, Jacob, Daniel, Abigail, Mia, Mason, Grace, and William. In Michael's words: \"William is a hero\". \"Grace is a villain,\" Aiden ment...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1606, \"statements\": [[\"telling-truth\", 8], [\"lying\", 7], [\"or\", [\"->\", [\"->\", [\"lying\", 7], [\"lying\", 0]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 7]], [\"or\", [\"tel...
{"split": "train", "index": 14940}
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: Henry, Chloe, Benjamin, Emma, Charlotte, Avery, Jackson, William, and Abigail. In Henry's words: \"(if (Avery is a pioneer) then (Emma is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1607, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"not\", [\"->\", [\"not\"...
{"split": "train", "index": 14941}
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, Mason, Aiden, Samuel, Emma, Grace, Owen, Aria, and Lily. According to Sofia, \"if (Aiden is a pioneer) then (if Samuel is a pioneer then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1608, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]]]], [\"telling-truth\", 2], [\"lying\", 7], [\"or\", [\"or\", [\"<=>\", [\"lying\", 8...
{"split": "train", "index": 14942}
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: Oliver, Avery, Benjamin, Riley, Daniel, Harper, Olivia, Michael, and Aria. Oliver stated, \"if (if (Aria is a knight and Michael is a knight) then Ol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1609, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"telling-truth\", 6]], [\"->\", [\"lying\", 5], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"tel...
{"split": "train", "index": 14943}
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, Sebastian, David, Jack, Scarlett, Oliver, Riley, Alexander, and Penelope. \"David is a fool,\" Joseph mentioned. Sebastian noted, \"if (if (Scarlet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1610, \"statements\": [[\"lying\", 2], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 7], [\"telling-truth\", 3]...
{"split": "train", "index": 14944}
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: James, Grace, Amelia, Logan, Liam, Ella, Elizabeth, Olivia, and Aiden. James noted, \"Grace is a pioneer if and only if ((Grace is a pioneer if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1611, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 6], [...
{"split": "train", "index": 14945}
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: Penelope, Aurora, Evelyn, Jacob, Aria, Charlotte, Alexander, Amelia, and Isabella. \"it is not the case that ((Jacob is an angel or Aurora is a devil) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1612, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5]]]], [\"not\", [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 8]]]], [\"->\", [...
{"split": "train", "index": 14946}
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, Harper, Matthew, Mia, Zoey, Logan, James, Aurora, and Abigail. \"Mia is a sage\" - Samuel. Harper told you that (it is not the case that (James is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1613, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0...
{"split": "train", "index": 14947}
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: Mason, Daniel, Grace, Amelia, Samuel, Avery, Sebastian, Ella, and Olivia. Mason was heard saying, \"Grace is a sage\". Daniel noted, \"(it is not the case ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1614, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"lying\", 8]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 5]], [\"telling-truth\", 7...
{"split": "train", "index": 14948}
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, Amelia, Harper, Sebastian, Jackson, Riley, Chloe, Mia, and Owen. Lily commented, \"it is not the case that (if (if Riley is a saint then Jackso...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1615, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 7], [\"and\...
{"split": "train", "index": 14949}
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: Sophia, Liam, Penelope, Charlotte, Michael, Alexander, Mason, Jacob, and Abigail. Sophia was heard saying, \"(it is not the case that (Jacob is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1616, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 7], [\"lying\", 6]]], [\"not\", [\"not\", [\"lying\", 1]]]], [\"and\", [\"lying\", 8], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 5]], [\"<=>\", [\"telling-tr...
{"split": "train", "index": 14950}
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, William, Luke, Riley, Victoria, Jacob, Amelia, Benjamin, and Daniel. In a statement by David: \"((if Amelia is an angel then Victoria is an ange...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1617, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"telling-truth\", 6]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 1], [\"tel...
{"split": "train", "index": 14951}
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: Chloe, Scarlett, Amelia, Mason, Lucas, Evelyn, Oliver, Daniel, and Lily. Chloe was heard saying, \"((Lily is an angel) if and only if (if Daniel is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1618, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 5]], [\"or\", [\"telling-truth\", 8], [\"telling-tru...
{"split": "train", "index": 14952}
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: Mia, Scarlett, Liam, Aria, Aiden, Daniel, Matthew, Charlotte, and Grace. Mia commented, \"(Grace is a sinner if and only if (Daniel is a saint and Ai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1619, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 8], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7]]]], [\"lying\", 6], [\"not\", [\"or\", [...
{"split": "train", "index": 14953}
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: William, Sofia, Avery, Penelope, David, Ava, Zoey, Liam, and Logan. In a statement by William: \"Zoey is a villain or ((if Zoey is a villain then Ave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1620, \"statements\": [[\"or\", [\"lying\", 6], [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]]], [\"and\", [\"lying\", 3], [\"not\", [\"telling-truth\", 2]]], [\"not\", [...
{"split": "train", "index": 14954}
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: Charlotte, Jack, Amelia, Sofia, Logan, Scarlett, Matthew, Aria, and Henry. In Charlotte's words: \"(it is not the case that (Scarlett is a fool if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1621, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 3]]]], [\"and\", [\"or\", [\"or\",...
{"split": "train", "index": 14955}
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, Lily, Avery, Zoey, Aiden, Luke, Grace, Sofia, and Ethan. \"(if (if Zoey is a sinner then Lily is a saint) then Zoey is a saint) and ((if Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1622, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"<=>\", [\"lying\", 8], [\"lying\", 4]]]], [\"an...
{"split": "train", "index": 14956}
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: Jacob, Ethan, Logan, Sebastian, Aiden, Elizabeth, Mason, Joseph, and David. Jacob remarked, \"if (if (Mason is an altruist or Elizabeth is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1623, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 5]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]], [\"lying\", 3]...
{"split": "train", "index": 14957}
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: Emily, Penelope, Jackson, Evelyn, David, Lily, Liam, James, and Ella. Emily said that ((David is a villain) and (Lily is a hero if and only if James ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1624, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"lying\", 2]]], [\...
{"split": "train", "index": 14958}
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, Benjamin, Liam, Penelope, Sofia, Zoey, Oliver, Sophia, and Grace. Logan commented, \"Penelope is a villain\". Benjamin said that ((if Grace is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1625, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"lying\", 8]], [\"and\", [\"not\", [\"and\",...
{"split": "train", "index": 14959}
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: Aiden, Henry, Abigail, Ethan, Logan, Ella, Emma, Michael, and Grace. In a statement by Aiden: \"(it is not the case that (Grace is a saint or Aiden i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1626, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"te...
{"split": "train", "index": 14960}
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, Matthew, Henry, Olivia, Ella, Michael, Emily, Lily, and David. Jacob expressed that Lily is a fool. Matthew expressed that (it is not the case that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1627, \"statements\": [[\"lying\", 7], [\"or\", [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4],...
{"split": "train", "index": 14961}
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: Joseph, David, Aria, Daniel, Jacob, Henry, Sebastian, Riley, and Emily. \"it is not the case that ((Jacob is a saint) or (Daniel is a sinner and Jaco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1628, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 8]], [\"lying\", 6]], [\"not\", [\"telli...
{"split": "train", "index": 14962}
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, Penelope, Noah, Elizabeth, Oliver, Aurora, Lucas, William, and David. Emma stated, \"if ((Oliver is a knave or William is a knight) and (David ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1629, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7]], [\"and\", [\"lying\", 8], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", ...
{"split": "train", "index": 14963}
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: Samuel, Victoria, Jacob, Benjamin, Aria, Matthew, Penelope, James, and Liam. In Samuel's words: \"James is a devil\". Victoria said, \"Samuel is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1630, \"statements\": [[\"lying\", 7], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"lying\", 7]]], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"<=>\", [\"lying\", 6], [\"...
{"split": "train", "index": 14964}
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: Zoey, Liam, Oliver, Matthew, Elizabeth, Mia, Samuel, Aiden, and Ethan. Zoey expressed that if ((if Mia is a hero then Elizabeth is a hero) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1631, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 8]]]], [\"and\",...
{"split": "train", "index": 14965}
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: Emily, Evelyn, Amelia, Olivia, David, Scarlett, Penelope, Avery, and Alexander. According to Emily, \"Olivia is a knave\". Evelyn said that if Evelyn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1632, \"statements\": [[\"lying\", 3], [\"->\", [\"telling-truth\", 1], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]]]], [\"lying\", 1], [\"lying\...
{"split": "train", "index": 14966}
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: Luke, Olivia, Scarlett, Ethan, Sophia, Michael, Logan, Sebastian, and Owen. Luke said that it is not the case that ((Owen is a villain) or (Logan is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1633, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 6]]]], [\"not\", [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\...
{"split": "train", "index": 14967}
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, Oliver, Zoey, Luke, Ethan, Aiden, Isabella, Avery, and Logan. David was heard saying, \"if ((Ethan is an altruist and Aiden is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1634, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4...
{"split": "train", "index": 14968}
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: Amelia, Sebastian, Evelyn, Sophia, Chloe, Matthew, Benjamin, Zoey, and Owen. \"if (it is not the case that (Owen is an egoist if and only if Am...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1635, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 8], [\"lying\", 8]]]], [\"<=>\", [\"->\", [\...
{"split": "train", "index": 14969}
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, Michael, Noah, Sebastian, Olivia, Samuel, Ella, Henry, and Daniel. \"Ella is a sage if and only if (Sebastian is a sage or (Ella is a fool)),\" Zoey ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1636, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 6]]]], [\"and\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"...
{"split": "train", "index": 14970}
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: Victoria, Emily, Samuel, David, Isabella, Avery, Joseph, Zoey, and Liam. \"(if (Joseph is a hero and Avery is a hero) then (Victoria is a hero and Jo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1637, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\",...
{"split": "train", "index": 14971}
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: Penelope, Noah, Owen, Luke, Aurora, Daniel, Ella, Jacob, and Amelia. In Penelope's words: \"((Owen is an egoist) or Luke is an egoist) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1638, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]]]], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\...
{"split": "train", "index": 14972}
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, Charlotte, Lily, Abigail, Jackson, William, Alexander, and Victoria. \"(it is not the case that (Alexander is a sage and Abigail is a sage)) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1639, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lyin...
{"split": "train", "index": 14973}
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: Jack, Daniel, Abigail, Harper, Elizabeth, William, Jackson, Aria, and Lucas. As Jack put it, \"Aria is a fool\". Daniel told you that ((Aria is a fool if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1640, \"statements\": [[\"lying\", 7], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 5]], [\"telling-truth\", 0]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"not\", [\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 3]],...
{"split": "train", "index": 14974}
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, Abigail, Amelia, Henry, Mason, Sofia, Daniel, Mia, and Luke. According to Scarlett, \"Henry is a sage\". \"if (if (Mason is a fool or Mason is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1641, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 7], [\"->\", [\"telling-truth\"...
{"split": "train", "index": 14975}
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, Aiden, Lucas, Victoria, Owen, Noah, Jacob, William, and Sophia. Sebastian expressed that it is not the case that ((if Lucas is a sage then Noah ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1642, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"<=>\", [\"lying\", 1], [\"lying\", 5]]]], [\"telling-truth\", 3], [\"and\", [\"and\", [\"not\", [\"lying\", 8]], [\"->\", [\"telli...
{"split": "train", "index": 14976}
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: Oliver, Daniel, Zoey, Samuel, Henry, Grace, Aria, Emma, and Penelope. \"if (it is not the case that (Emma is an egoist or Aria is an egoist)) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1643, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 6]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 3]], [\"->\", [\"telling-truth\", 5], [\"lying\", 4]]]], [\"->\", [\"lying\", 0], [\"...
{"split": "train", "index": 14977}
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: Sophia, Harper, Mason, Matthew, Jack, Zoey, Luke, Ella, and Charlotte. In a statement by Sophia: \"Jack is an angel and (it is not the case that (Ella ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1644, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]]]], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 0]], [\"or\", [\"lying\", 6], [\"telling-t...
{"split": "train", "index": 14978}
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: Isabella, Daniel, Jack, Penelope, Logan, Mia, Emma, Harper, and Victoria. Isabella was heard saying, \"if Victoria is an altruist then (it is n...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1645, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [...
{"split": "train", "index": 14979}
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: Noah, Alexander, Elizabeth, Aiden, Evelyn, Joseph, Benjamin, Sebastian, and Sofia. Noah stated, \"(Aiden is a hero if and only if (Benjamin is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1646, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-tru...
{"split": "train", "index": 14980}
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: Ethan, Scarlett, Ella, Jacob, Evelyn, Liam, Daniel, Harper, and Emma. \"it is not the case that ((Scarlett is a sage if and only if Emma is a sage) or (Eve...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1647, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]]]], [\"not\", [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 0]]]], [\"and\...
{"split": "train", "index": 14981}
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: Benjamin, Mia, Alexander, Isabella, Sebastian, Samuel, James, Owen, and Charlotte. Benjamin noted, \"James is a saint if and only if ((Samuel is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1648, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5]], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"->\", [\"lying\", 5], [\"telling-tru...
{"split": "train", "index": 14982}
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: David, Henry, Evelyn, Ella, Emma, Jack, Logan, Aurora, and Liam. David stated, \"Henry is a sage\". Henry remarked, \"Aurora is a sage\". In Evelyn's words...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1649, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 7], [\"not\", [\"->\", [\"lying\", 6], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"t...
{"split": "train", "index": 14983}
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: Ethan, Logan, Liam, Ava, Scarlett, Joseph, Elizabeth, Harper, and Jackson. Ethan remarked, \"Jackson is an angel and (if (Joseph is an angel) then (Eli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1650, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"->\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0]]]], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"lyi...
{"split": "train", "index": 14984}
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: Benjamin, Aria, Sophia, Riley, Michael, Lily, James, William, and Avery. As Benjamin put it, \"if ((if Aria is a saint then Riley is a saint) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1651, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 5]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"or\", [\"<=>\", [...
{"split": "train", "index": 14985}
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: Charlotte, Aurora, Emily, Sebastian, Michael, Abigail, Penelope, Jackson, and Evelyn. Charlotte expressed that Penelope is a pioneer. Aurora st...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1652, \"statements\": [[\"telling-truth\", 6], [\"lying\", 6], [\"and\", [\"or\", [\"lying\", 1], [\"not\", [\"lying\", 6]]], [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 8]]]], [\"<=>\", [\"and\", [\"lying\", 5], [\...
{"split": "train", "index": 14986}
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: Jackson, Aria, Luke, Lily, Matthew, Henry, Michael, Noah, and Alexander. Jackson was heard saying, \"if ((Henry is a knight if and only if Luke is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1653, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]], [\"telling-truth\", 4]], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]]], [\"lying\", 6], [\"->\", [\"->\", ...
{"split": "train", "index": 14987}
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, Henry, Amelia, Evelyn, Victoria, Scarlett, Oliver, William, and Lily. \"((William is a hero) or (Amelia is a villain if and only if Victoria is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1654, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 2]], [\"->\", [\"lying\", 7], [\"lying\", 5]]]], [\"<=>\",...
{"split": "train", "index": 14988}
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: Abigail, Liam, Avery, Harper, Sophia, Evelyn, Sebastian, Isabella, and Zoey. In Abigail's words: \"if ((if Zoey is an altruist then Liam is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1655, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"lyi...
{"split": "train", "index": 14989}
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: Daniel, Joseph, Amelia, Chloe, Ethan, Lily, Harper, Mason, and Zoey. As Daniel put it, \"(if (Zoey is an angel if and only if Lily is an angel) then (M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1656, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"or\", [\"lying\", 7], [\"lying\", 6]]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\"...
{"split": "train", "index": 14990}
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: Avery, David, Noah, Alexander, Aria, Mason, Owen, Jackson, and Riley. Avery asserted: \"((Jackson is an angel) or (if Noah is an angel then Avery is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1657, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 7]]]], [\"not\", [\"->\", [\"and\", [\"telling-trut...
{"split": "train", "index": 14991}
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: Alexander, Grace, Victoria, Abigail, Evelyn, Daniel, Ethan, Lucas, and Mason. Alexander commented, \"it is not the case that ((Lucas is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1658, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"and\", [\"lying\", 8], [\"lying\", 7]]]], [\"telling-truth\", 7], [\"lying\", 0], [\"not\", [\"telling-truth\", 5]], [\"o...
{"split": "train", "index": 14992}
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: James, Ava, Sofia, Zoey, Aria, Logan, Emma, Penelope, and Amelia. James told you that Ava is a villain or ((James is a hero and Logan is a hero) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1659, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"telling-truth\", 6]]], [\"telling-truth\", 4], [\"lying\", 3], [\"not\", [\"<=>\", [\"->\", [\"lying\", 7]...
{"split": "train", "index": 14993}
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: William, Noah, James, Jacob, Aiden, Harper, Scarlett, Jack, and Ethan. William expressed that (if (Scarlett is a laggard or Scarlett is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1660, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 1]]]], [\"telling-truth\", ...
{"split": "train", "index": 14994}
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: Abigail, James, Aria, Chloe, Daniel, Luke, Michael, Amelia, and Grace. In a statement by Abigail: \"((Daniel is a laggard or Abigail is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1661, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 6]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 5], [\"lying\", 6], [\"<=>\", [\"lying\", 2], [\"not\", [\"telling-t...
{"split": "train", "index": 14995}
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: Henry, Grace, Lily, Matthew, William, Sebastian, Ava, Abigail, and David. According to Henry, \"(David is a devil if and only if (if Grace is a devil t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1662, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 8], [\"->\", [\"lying\", 1], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]]...
{"split": "train", "index": 14996}
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, Aria, Jackson, Emma, Abigail, Lily, Matthew, Zoey, and Jack. In Mason's words: \"Jack is a saint\". Aria remarked, \"((Zoey is a saint) or (Ma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1663, \"statements\": [[\"not\", [\"lying\", 8]], [\"or\", [\"or\", [\"not\", [\"lying\", 7]], [\"or\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"not\", [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"not\", ...
{"split": "train", "index": 14997}
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: Lily, Benjamin, Chloe, Riley, Matthew, Olivia, Grace, Ella, and Sofia. Lily noted, \"if Sofia is a fool then ((if Olivia is a sage then Ella is a fool) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1664, \"statements\": [[\"->\", [\"lying\", 8], [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 7]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lyi...
{"split": "train", "index": 14998}
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, Emma, Aiden, Scarlett, Noah, Jack, Olivia, Michael, and Ava. According to Joseph, \"((Michael is a fool) and (if Scarlett is a sage then Jack is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1665, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"lying\", 2]], [\"or\", [\"telling-truth\", 6], [\"not\", [\"or\", [\"lying\", 8], [\"lying\", ...
{"split": "train", "index": 14999}