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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: Daniel, Aiden, Noah, Evelyn, Amelia, Logan, Mason, Olivia, and Aria. Daniel stated, \"((if Logan is an angel then Noah is a devil) if and only if (Aria...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1722, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 2]], [\"or\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"<=>\", [\"lying\", 1], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"t...
{"split": "train", "index": 19500}
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: Mia, Noah, Olivia, Sofia, Evelyn, Benjamin, Lily, Sophia, and Chloe. Mia told you that if (if Benjamin is a fool then (if Sofia is a sage then Chloe is a f...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1723, \"statements\": [[\"->\", [\"->\", [\"lying\", 5], [\"->\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]]], [\"telling-truth\", 8...
{"split": "train", "index": 19501}
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: Benjamin, Logan, Alexander, Harper, Charlotte, Victoria, Matthew, Abigail, and Mason. Benjamin noted, \"((Charlotte is a hero or Alexander is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1724, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 7], [\"lying\", 3]], [\"lying\", 1], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying...
{"split": "train", "index": 19502}
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, Aria, Lily, Luke, Charlotte, Daniel, Amelia, Scarlett, and Emma. As Ella put it, \"((Aria is an altruist) and Luke is an altruist and (Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1725, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"lying\", 3], [\"<=>\", [\"lying\", 2], [\"lying\", 6]]]], [\"not\", [\"->\", [\"<=>\...
{"split": "train", "index": 19503}
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, Sofia, Emily, Alexander, Oliver, Aurora, Matthew, Avery, and James. Aiden remarked, \"(if (Sofia is a devil or Avery is an angel) then (if Alexa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1726, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 7]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]...
{"split": "train", "index": 19504}
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: Penelope, Sebastian, Ava, Evelyn, Jack, Aiden, Sophia, James, and Elizabeth. \"Ava is a sinner and (Aiden is a sinner),\" Penelope declared. Sebastia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1727, \"statements\": [[\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"lying\", 0], [\"telling-truth\", 5]...
{"split": "train", "index": 19505}
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: Emily, Alexander, Lily, Sebastian, Samuel, Ella, Benjamin, Noah, and Michael. \"it is not the case that ((Emily is a saint or Samuel is a saint) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1728, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"ly...
{"split": "train", "index": 19506}
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: William, Alexander, Aria, Owen, Grace, Ethan, Jacob, James, and David. William stated, \"James is a devil if and only if (it is not the case that (Alex...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1729, \"statements\": [[\"<=>\", [\"lying\", 7], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 5], [\"telling-truth\", 7]]]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"...
{"split": "train", "index": 19507}
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, Owen, Jacob, Aiden, James, Liam, Penelope, Mia, and Riley. Oliver said, \"((Owen is a knave and Jacob is a knave) or (if Aiden is a knight th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1730, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"and\", [\"lying\", 3], [\"telli...
{"split": "train", "index": 19508}
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: Harper, Isabella, Jack, Sebastian, Oliver, Victoria, William, Liam, and Charlotte. Harper noted, \"Isabella is a saint or ((Sebastian is a sinner and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1731, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 8], [\"telling-truth\", 7], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying...
{"split": "train", "index": 19509}
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: Alexander, Charlotte, Sofia, Lucas, Elizabeth, Sophia, Luke, Matthew, and Jackson. \"(it is not the case that (Sophia is a laggard if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1732, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"and\", [\"or\", [\"and\", [\"lying\", 7...
{"split": "train", "index": 19510}
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, Riley, Henry, Chloe, Jackson, Liam, Sophia, James, and Scarlett. Owen stated, \"((if Owen is a hero then Riley is a villain) and (Henry is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1733, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 8], [\"lying\", 6], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\"...
{"split": "train", "index": 19511}
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: Ella, Grace, Scarlett, Sofia, Ava, Emma, Avery, Alexander, and Elizabeth. Ella noted, \"if ((Avery is a saint) or (if Avery is a saint then Ava is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1734, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]]...
{"split": "train", "index": 19512}
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: Elizabeth, Henry, Isabella, Lily, Harper, Jackson, Ella, Emily, and Benjamin. Elizabeth was heard saying, \"it is not the case that (if (Henry ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1735, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 5]], [\"and\", [\"->\", [\"telling-truth\",...
{"split": "train", "index": 19513}
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: Scarlett, Samuel, Lily, Sebastian, Emily, Victoria, Ethan, William, and Aiden. \"Lily is a villain,\" Scarlett mentioned. \"Aiden is a villain and ((...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1736, \"statements\": [[\"lying\", 2], [\"and\", [\"lying\", 8], [\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-tru...
{"split": "train", "index": 19514}
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: Mason, Ava, Emma, Alexander, Victoria, Sophia, Evelyn, Riley, and William. Mason noted, \"Mason is a hero\". \"((Mason is a hero if and only if Emma ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1737, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 5], [\"telling-truth\", 8]], [\"or\", [\"lying\", 8], [\"lying\", 3], [...
{"split": "train", "index": 19515}
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: Victoria, Abigail, Charlotte, Oliver, Jack, Liam, Aria, Aurora, and Ella. Victoria stated, \"((Aurora is a knave or Aria is a knave or Jack is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1738, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 7], [\"lying\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"t...
{"split": "train", "index": 19516}
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, Logan, Benjamin, Riley, Daniel, Luke, Lucas, Lily, and Sophia. \"it is not the case that ((if Luke is a sage then Daniel is a sage) or (Benjamin is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1739, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]]]], [\"lying\", 5], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\",...
{"split": "train", "index": 19517}
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: Evelyn, Daniel, Harper, Aiden, Luke, Joseph, Elizabeth, Emma, and Zoey. Evelyn told you that (Joseph is an egoist) if and only if ((Evelyn is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1740, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]]], [\"not\", [\"<=>\", [\"not\", [\"telli...
{"split": "train", "index": 19518}
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, Benjamin, Emma, Michael, Mason, Ava, Jacob, Sofia, and Elizabeth. Jackson expressed that Mason is a pioneer. Benjamin was heard saying...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1741, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 7]], [\"and\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 6]], [\"telling-truth\", 7]], [\"telling-truth\", 5]],...
{"split": "train", "index": 19519}
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, Evelyn, Ella, Liam, Sophia, Sofia, Ethan, Matthew, and Olivia. Zoey said, \"((Evelyn is a hero and Liam is a hero and Olivia is a villain and S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1742, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 8], [\"lying\", 4]], [\"or\", [\"lying\", 7], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"...
{"split": "train", "index": 19520}
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, Harper, David, Mia, Sophia, Matthew, Liam, Sofia, and Riley. Samuel said that (Harper is an egoist) and ((Sophia is an altruist if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1743, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 2]], [\"not...
{"split": "train", "index": 19521}
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: Riley, Jacob, Samuel, Ella, Owen, Henry, Oliver, Elizabeth, and Matthew. \"it is not the case that ((if Riley is a pioneer then Samuel is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1744, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 7], [\"telling-tru...
{"split": "train", "index": 19522}
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: Olivia, Charlotte, Scarlett, Liam, Logan, Aiden, Zoey, Sebastian, and Mason. In Olivia's words: \"(it is not the case that (Mason is a fool and Mason is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1745, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]]]], [\"->\", [\"or\", [\"not\", [\"telling-truth\...
{"split": "train", "index": 19523}
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: Avery, Emma, Sofia, Benjamin, Samuel, James, Jack, Joseph, and Michael. Avery asserted: \"((Jack is a sinner or Samuel is a saint or Joseph is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1746, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4], [\"lying\", 7], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 6], [\"lying\", 7], [\"...
{"split": "train", "index": 19524}
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, William, Oliver, Emma, Aria, Michael, Evelyn, Riley, and Ella. Lucas said that (it is not the case that (Evelyn is a villain)) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1747, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"and\", [\"lying\", 7], [\"lying\", 8], [\"telling-truth\", 6]], [\"not\", [\"lying\...
{"split": "train", "index": 19525}
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: Sophia, Isabella, Oliver, Avery, Olivia, Elizabeth, Ethan, Abigail, and David. Sophia asserted: \"((Abigail is a knave and Olivia is a knave) and (Ab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1748, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 7], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]]]...
{"split": "train", "index": 19526}
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, Avery, Luke, Ava, Penelope, Oliver, Henry, Jack, and Jacob. In a statement by Sophia: \"if (Oliver is an egoist and (Luke is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1749, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"and\", [\"telling-truth\", 2], [\"lying\", 5], [\"lying\", 8], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"lying\", 1], [\"l...
{"split": "train", "index": 19527}
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: Sebastian, Zoey, Ella, William, Scarlett, Penelope, Elizabeth, Logan, and Jacob. Sebastian expressed that it is not the case that ((Jacob is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1750, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"lying\", 1]]], [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\"...
{"split": "train", "index": 19528}
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, Henry, Emma, Michael, Victoria, Aria, Sebastian, Luke, and Ella. Samuel was heard saying, \"((Victoria is a fool) if and only if (Luke is a sage if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1751, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 5]], [\"not\", [\"lying\", 3]]], ...
{"split": "train", "index": 19529}
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: William, Mia, Penelope, Michael, Ethan, Ella, Joseph, Zoey, and Samuel. \"Joseph is an altruist if and only if ((William is an altruist and Eth...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1752, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"lying\", 1], [\"not\", [\"lying\", 5]]]], [\"or\", [\"...
{"split": "train", "index": 19530}
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, Jacob, Charlotte, Aurora, Samuel, Harper, Emily, Elizabeth, and Ella. \"((if Ava is a sage then Ella is a sage) or (Harper is a sage or Aurora is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1753, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 1]]]], [\"->\", [\"-...
{"split": "train", "index": 19531}
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, Ethan, Jackson, Isabella, Henry, Liam, Sophia, Ava, and James. Aiden said that (Ava is a sinner) if and only if ((Sophia is a sinner) or Henry...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1754, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 4]]], [\"telling-truth\", 8], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-t...
{"split": "train", "index": 19532}
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: Owen, Samuel, Sebastian, Penelope, Sophia, Aiden, Ella, Oliver, and Joseph. Owen stated, \"it is not the case that (if (Oliver is a knave and Ella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1755, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 6], [\"telling-truth\", 6]], [\"->\", [\"lying\", 6], [\"lying\", 4]]]], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1...
{"split": "train", "index": 19533}
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: Riley, Logan, Samuel, Oliver, Matthew, Elizabeth, Lucas, Sophia, and Noah. \"(it is not the case that (Riley is an angel or Oliver is an angel or Logan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1756, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]]], [\"lying\", 4], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling...
{"split": "train", "index": 19534}
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: Penelope, Jack, Aria, Aiden, Ethan, Joseph, Scarlett, Jacob, and Chloe. Penelope was heard saying, \"(if (Ethan is a knight and Joseph is a knave) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1757, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"->\", [\"lying\", 6], [\"lying\", ...
{"split": "train", "index": 19535}
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, Benjamin, Ella, Victoria, Avery, Michael, Henry, Chloe, and Evelyn. Ethan commented, \"(it is not the case that (if Evelyn is an angel then Ella...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1758, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 1], [\"telling-trut...
{"split": "train", "index": 19536}
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, Luke, Sophia, Evelyn, Michael, Isabella, Avery, Ella, and Olivia. According to Jack, \"Jack is a knight\". In Luke's words: \"((Isabella is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1759, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\"telling-truth\", 2], [\"lying\", 7]]], [\"->\", [\"not\", [\"tel...
{"split": "train", "index": 19537}
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: Amelia, Lucas, Mason, Penelope, Jackson, Henry, James, Scarlett, and Daniel. Amelia said that if (if (Penelope is a sage or Lucas is a sage or Mason is a f...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1760, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lyin...
{"split": "train", "index": 19538}
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: James, Sebastian, Mia, Sofia, Chloe, Ava, Ella, Scarlett, and Avery. James said that if ((Sofia is an altruist or Avery is an egoist or Ella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1761, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 8], [\"lying\", 6], [\"lying\", 4]], [\"lying\", 7]], [\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 5]]]], [\"or\", [\"<=>\", [\"...
{"split": "train", "index": 19539}
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, James, Ethan, Avery, Luke, Daniel, Scarlett, Victoria, and Aiden. As Emma put it, \"if (if (if Scarlett is a knight then Daniel is a knave) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1762, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"telling-truth\", 7]], [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"and\", [\"lying\", 5], [\"lying\", 0]], [\"or\", [\"telling-tr...
{"split": "train", "index": 19540}
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: Michael, Ella, Joseph, James, Jackson, Logan, David, Grace, and Isabella. Michael expressed that Logan is a sage. \"((if Jackson is a sage then Grace is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1763, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 7]], [\"lying\", 0]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 7], [\"lying\", 2], [\"lying\", 7]], ...
{"split": "train", "index": 19541}
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: Sofia, Logan, Avery, James, Jackson, Victoria, Scarlett, Chloe, and Lily. \"if Scarlett is a villain then ((Logan is a villain and Avery is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1764, \"statements\": [[\"->\", [\"lying\", 6], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 5]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\...
{"split": "train", "index": 19542}
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: Aria, Penelope, Samuel, Sophia, Zoey, Riley, Harper, Ella, and Isabella. In a statement by Aria: \"(it is not the case that (Penelope is a knave if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1765, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 5]]], [\"...
{"split": "train", "index": 19543}
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, Owen, Daniel, Michael, Ethan, Ava, Victoria, Grace, and Logan. According to Jacob, \"((if Victoria is a fool then Daniel is a fool) if and only if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1766, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 7]]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 6]], [\"and\", [\"te...
{"split": "train", "index": 19544}
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: Avery, Liam, Jack, Emily, James, Ella, Henry, Charlotte, and Lily. \"(if Liam is a sinner then (James is a saint and Ella is a sinner and Ella is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1767, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 4], [\"lying\", 5], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"lying\", 7]]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6...
{"split": "train", "index": 19545}
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, Penelope, Lucas, Amelia, Evelyn, Sofia, Elizabeth, Alexander, and William. Henry noted, \"((Evelyn is a fool if and only if Henry is a sage) or (Eve...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1768, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7], [\"telling...
{"split": "train", "index": 19546}
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, Benjamin, Victoria, Sophia, Harper, Emily, Jackson, David, and Aiden. Oliver told you that ((Oliver is a saint and Jackson is a saint) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1769, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"lying\", 7]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"tel...
{"split": "train", "index": 19547}
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: Joseph, Sebastian, Olivia, Mason, Michael, Lucas, Henry, Emma, and Matthew. In Joseph's words: \"it is not the case that ((if Michael is a villain th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1770, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2...
{"split": "train", "index": 19548}
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: Isabella, Luke, Oliver, Emily, David, Henry, Jack, Benjamin, and Lucas. Isabella noted, \"if ((Isabella is a hero and Oliver is a hero) or (Emily is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1771, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]]], [...
{"split": "train", "index": 19549}
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: Sebastian, James, Chloe, Matthew, Sofia, Jackson, Evelyn, Isabella, and Emma. In Sebastian's words: \"Sofia is a sinner\". As James put it, \"if ((Ch...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1772, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"te...
{"split": "train", "index": 19550}
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: Liam, Michael, Riley, Avery, Amelia, James, Grace, Sophia, and Evelyn. Liam was heard saying, \"(if (James is a saint or Amelia is a saint or Grace i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1773, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"tellin...
{"split": "train", "index": 19551}
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: Michael, Jack, James, Penelope, Amelia, Emma, Ethan, Emily, and Mia. As Michael put it, \"Emma is a pioneer\". Jack remarked, \"if (if (Amelia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1774, \"statements\": [[\"telling-truth\", 5], [\"->\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"...
{"split": "train", "index": 19552}
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: Matthew, Elizabeth, Grace, Avery, Harper, Evelyn, Scarlett, Zoey, and Penelope. \"if (it is not the case that (Grace is a fool)) then (if (if Evelyn is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1775, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"or\", [\"lying\", 7], [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"not\", ...
{"split": "train", "index": 19553}
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, Aria, Lily, James, Samuel, Oliver, Evelyn, Mason, and Abigail. Charlotte said that Abigail is a pioneer. Aria told you that Abigail ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1776, \"statements\": [[\"telling-truth\", 8], [\"telling-truth\", 8], [\"or\", [\"lying\", 8], [\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"or\", [\"lying\", 7], [\"lying\", 8]], [\"t...
{"split": "train", "index": 19554}
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, Aurora, Lucas, Joseph, Mason, Victoria, Riley, Chloe, and Luke. Aiden commented, \"if ((Victoria is a knave and Riley is a knave and Chloe is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1777, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 6], [\"lying\", 7]], [\"and\", [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 4], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [...
{"split": "train", "index": 19555}
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: Liam, Olivia, Henry, Luke, Samuel, Aurora, Joseph, Jack, and David. Liam said, \"((if Luke is a sinner then David is a saint) and (Samuel is a saint)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1778, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 8]], [\"not\", [\"lying\", 4]], [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 6]], [\"and\", [\"<=>\", [...
{"split": "train", "index": 19556}
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, Owen, Avery, Ella, Aurora, Harper, Luke, Ava, and Aria. According to Noah, \"if ((Ava is a villain if and only if Aria is a hero) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1779, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 7]], [\"or\", [\"lying\", 8], [\"lying\", 2]...
{"split": "train", "index": 19557}
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, Luke, Avery, Logan, Ella, Mason, Aiden, Oliver, and Sofia. William told you that William is a pioneer. Luke noted, \"it is not the cas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1780, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 7]], [\"and\", [\"telling-truth\", 5], [\"lying\", 6], [\"lying\", 2], [\"lying\", 4]]]], [\"not\", [\"lying\", 7]], [\"t...
{"split": "train", "index": 19558}
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: Lily, Chloe, Jack, Lucas, Olivia, Oliver, Emily, Charlotte, and Victoria. Lily told you that ((Charlotte is an altruist and Jack is an egoist a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1781, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 7], [\"telling-truth\", 4]]], [\"not\", ...
{"split": "train", "index": 19559}
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: Jacob, Ava, Sophia, Jack, Victoria, Benjamin, Amelia, Charlotte, and Henry. Jacob noted, \"((Jacob is a hero and Benjamin is a villain) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1782, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]]]], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 4], ...
{"split": "train", "index": 19560}
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, Lily, Amelia, Ella, Ethan, Charlotte, Matthew, Elizabeth, and Scarlett. Luke said, \"(it is not the case that (Scarlett is a laggard and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1783, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"lying\", 8]], [\"not\", [\"and\", [\"telling-truth\", 8], [\"and\", [\"lying\", 0], [\"lying\", 4]]]], [...
{"split": "train", "index": 19561}
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: Owen, Oliver, Logan, Noah, David, Matthew, Sebastian, Aiden, and Emily. \"(if (Sebastian is an altruist if and only if Emily is an altruist) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1784, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"->\", [\"->\", [...
{"split": "train", "index": 19562}
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: Harper, Elizabeth, Henry, Chloe, Alexander, Sophia, Joseph, Charlotte, and Owen. Harper noted, \"Harper is a saint\". \"if (it is not the case that (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1785, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]]], [\"->\", [\"<=>\", [\"not\...
{"split": "train", "index": 19563}
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, Jacob, Charlotte, Amelia, Grace, Benjamin, Sebastian, David, and Jackson. In Henry's words: \"if ((Jacob is a laggard and Benjamin is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1786, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 1], [\"lyi...
{"split": "train", "index": 19564}
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: Daniel, Logan, Aurora, Henry, Jack, Ethan, Olivia, Ella, and Mia. Daniel commented, \"Aurora is a saint\". Logan said, \"(Aurora is a sinner and (Ell...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1787, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5], [\"lying\", 2]], [\"lying\", 5]], [\"telling-tr...
{"split": "train", "index": 19565}
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, Sebastian, Lucas, Aurora, Aiden, Riley, Matthew, Sofia, and Emily. \"if (if (Riley is a hero if and only if Emily is a villain) then Sebastian...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1788, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"lying\", 1]], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]]], [\"or\", [\"->\", [\"telling-...
{"split": "train", "index": 19566}
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, James, Penelope, Zoey, Owen, Harper, Luke, Lucas, and David. Lily told you that if (if Lily is a saint then (Zoey is a sinner)) then (Harper is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1789, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 5], [\"t...
{"split": "train", "index": 19567}
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: Zoey, Ava, Luke, Aria, Alexander, Grace, Logan, Mia, and Victoria. Zoey noted, \"it is not the case that (if (Luke is an angel if and only if Logan is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1790, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]], [\"not\", [\"lying\", 4]]]], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"telling-truth\", 3]], [\...
{"split": "train", "index": 19568}
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: Michael, Daniel, James, Liam, Noah, Emma, Amelia, Benjamin, and Oliver. \"(if (Liam is a devil and Liam is an angel and Noah is a devil) then (if Benja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1791, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 7], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]], [\"->\", [\"tel...
{"split": "train", "index": 19569}
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: Michael, Ella, Samuel, Zoey, Riley, Aurora, Henry, Ava, and Liam. \"Ava is a knight if and only if (if (Aurora is a knave or Ava is a knight) then Ri...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1792, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7]], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7], [\"telling-tru...
{"split": "train", "index": 19570}
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, Chloe, Sophia, Harper, Logan, Noah, Mason, Jack, and Elizabeth. Zoey said, \"(it is not the case that (Chloe is a laggard if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1793, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0], [\"lying\", 7], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 7],...
{"split": "train", "index": 19571}
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: Jacob, Zoey, Oliver, Sofia, Grace, Michael, Sophia, Ava, and David. \"Grace is a knight\" - Jacob. Zoey commented, \"Michael is a knave and (Zoey is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1794, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"lying\", 5], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 0]]]], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 7], [\...
{"split": "train", "index": 19572}
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, Amelia, Henry, Emma, Lucas, Aurora, Jacob, Mia, and Evelyn. Ethan told you that if ((Evelyn is a sage) or (Aurora is a fool or Lucas is a fool)) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1795, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 5], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\"l...
{"split": "train", "index": 19573}
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: Victoria, Emma, Evelyn, Sebastian, Daniel, Sophia, Avery, Matthew, and Jacob. Victoria noted, \"if Sebastian is a knight then ((Daniel is a knave if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1796, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"->\", [\"lying\", 5], [\"lying\", 0]]]], [\"telling-truth\",...
{"split": "train", "index": 19574}
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, Mason, Isabella, Logan, Noah, Sophia, Emma, Harper, and Penelope. Lily remarked, \"Sophia is a sage and ((Mason is a sage and Logan is a fool and Log...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1797, \"statements\": [[\"and\", [\"telling-truth\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 3], [\"lying\", 7]]]], [\"and\"...
{"split": "train", "index": 19575}
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, Liam, Benjamin, Zoey, Chloe, Samuel, Olivia, Owen, and Noah. Joseph said that Chloe is a saint. Liam was heard saying, \"(if (if Samuel is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1798, \"statements\": [[\"not\", [\"lying\", 4]], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 3]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 4], [\"or\", [\"telling-tru...
{"split": "train", "index": 19576}
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, Olivia, Logan, Emma, Abigail, Charlotte, Jack, Aurora, and Riley. Aria expressed that if Riley is an altruist then (if Abigail is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1799, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"->\", [\"lying\", 4], [\"<=>\", [\"lying\", 7], [\"lying\", 3]]]], [\"lying\", 8], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\",...
{"split": "train", "index": 19577}
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: Riley, Michael, Samuel, Charlotte, Oliver, Elizabeth, Mia, Lily, and Daniel. Riley expressed that ((Daniel is a knight or Lily is a knave or Michael ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1800, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7], [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"telling-truth\", 8], [\"and\", [\...
{"split": "train", "index": 19578}
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: Sebastian, Ava, Samuel, Jackson, Grace, Joseph, Owen, Luke, and Daniel. Sebastian said that (it is not the case that (Joseph is a laggard if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1801, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]]]], [\"and\", ...
{"split": "train", "index": 19579}
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, Penelope, Amelia, James, Lucas, Sofia, Aria, Avery, and Grace. \"if (if (Lucas is a knight) then (Amelia is a knight if and only if Lucas is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1802, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]]], [...
{"split": "train", "index": 19580}
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: Aiden, David, Oliver, Ava, Jackson, Abigail, Owen, Michael, and Samuel. \"if (if (if Abigail is a hero then Ava is a villain) then Aiden is a hero) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1803, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 3]], [\"telling-truth\", 0]], [\"lying\", 3]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-tr...
{"split": "train", "index": 19581}
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: Benjamin, Amelia, Logan, Zoey, Elizabeth, David, Charlotte, Mason, and Chloe. Benjamin expressed that (if David is a fool then (Zoey is a sage if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1804, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"lying\", 1]], [\"not\", [\"not\", [...
{"split": "train", "index": 19582}
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, Michael, Sebastian, Charlotte, Penelope, Sophia, Benjamin, Jacob, and Oliver. In a statement by Avery: \"if ((if Penelope is an angel then Sophi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1805, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 5]], [\"and\", [\"lying\", 8], [\"telling-truth\", 0], [\"lying\", 5], [\"lying\", 7]]], [\"telling-truth\", 6]], [\"or\", [\"and\", [\"or\"...
{"split": "train", "index": 19583}
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: Isabella, Charlotte, Aiden, Zoey, Sofia, Avery, Daniel, Victoria, and Emma. \"(if Emma is a villain then (Sofia is a hero)) and ((if Zoey is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1806, \"statements\": [[\"and\", [\"->\", [\"lying\", 8], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"lying\", 2]], [\"lying\", 6]], [\"<=>\", [\"and\", [\"and\", [\"lying\", 3], [\"lying...
{"split": "train", "index": 19584}
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, Jacob, Mason, Liam, Daniel, Logan, Abigail, Michael, and Avery. According to Penelope, \"Avery is an altruist\". Jacob said that Pene...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1807, \"statements\": [[\"telling-truth\", 8], [\"lying\", 0], [\"and\", [\"->\", [\"lying\", 7], [\"lying\", 8]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 8], [\"telling-truth\", 6]]],...
{"split": "train", "index": 19585}
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: Joseph, Amelia, Liam, Isabella, Noah, Emily, Matthew, Aiden, and David. As Joseph put it, \"Emily is a knight\". \"(if Noah is a knight then (Isabell...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1808, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"->\", [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\...
{"split": "train", "index": 19586}
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, Benjamin, Noah, Sebastian, Zoey, Jack, Sofia, Jackson, and Joseph. Harper expressed that Sofia is a pioneer. Benjamin commented, \"Jack...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1809, \"statements\": [[\"telling-truth\", 6], [\"lying\", 5], [\"and\", [\"not\", [\"lying\", 6]], [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"lying\", 0]...
{"split": "train", "index": 19587}
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, Elizabeth, Ethan, Grace, Riley, Harper, Mia, Isabella, and Aurora. \"if (it is not the case that (if Harper is a villain then Elizabeth is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1810, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 7], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 6]]]], [\"n...
{"split": "train", "index": 19588}
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: Penelope, James, Evelyn, Avery, Emma, Chloe, Liam, Mia, and Isabella. Penelope said, \"it is not the case that (Liam is a knave if and only if James ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1811, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 1]]], [\"telling-truth\", 7], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"telling...
{"split": "train", "index": 19589}
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, Avery, Ella, Aiden, Mia, Chloe, Amelia, Penelope, and Ethan. \"(if (Ella is a sage if and only if Mia is a fool) then (if Penelope is a sage then Ai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1812, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"->\", [\"->\", [\"lying...
{"split": "train", "index": 19590}
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, Owen, Penelope, Sebastian, Liam, Sophia, Luke, Joseph, and William. \"William is an angel,\" Henry mentioned. Owen commented, \"if ((Joseph is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1813, \"statements\": [[\"not\", [\"lying\", 8]], [\"->\", [\"and\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 3]], [\"and\", [\"lying\", 8], [\"lying\", 4], [\"telling-truth\", 6...
{"split": "train", "index": 19591}
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: Olivia, Ethan, Ava, Oliver, Matthew, Jacob, Luke, Joseph, and Amelia. Olivia remarked, \"if (it is not the case that (Jacob is an altruist and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1814, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying...
{"split": "train", "index": 19592}
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, Riley, Aiden, Sebastian, Ava, Aria, Lucas, Henry, and Charlotte. \"it is not the case that (Aria is a laggard),\" William declared. Ac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1815, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"lying\", 4]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 6], [\"lying\", 3]]]], [\"o...
{"split": "train", "index": 19593}
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: Alexander, Benjamin, Henry, Jacob, Aiden, Luke, David, Sebastian, and Emma. Alexander said that it is not the case that ((Sebastian is a villain or E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1816, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 8], [\"lying\", 4]], [\"not\", [\"lying\", 6]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]]], [\"and\", [\"lying\", 5], [\"<=>\", [\"lying\"...
{"split": "train", "index": 19594}
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, Aria, Liam, Sebastian, Noah, Emma, Aiden, Sofia, and Jacob. Lily said, \"(Sebastian is a knave and Emma is a knight and (Jacob is a knave or No...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1817, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5], [\"or\", [\"lying\", 8], [\"lying\", 4], [\"telling-truth\", 7], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [...
{"split": "train", "index": 19595}
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, Chloe, Riley, Ethan, Abigail, Grace, Harper, Henry, and Amelia. Samuel noted, \"(if (Ethan is a fool or Grace is a fool or Ethan is a sage) then (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1818, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 5], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lyi...
{"split": "train", "index": 19596}
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, Mia, Jackson, Aria, Jacob, Victoria, Owen, Amelia, and Ethan. \"((Owen is a knight) if and only if (Owen is a knave)) and ((Jacob is a knight o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1819, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 8], [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"...
{"split": "train", "index": 19597}
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, Benjamin, Alexander, Jackson, Matthew, Riley, Amelia, Ella, and Sebastian. Avery was heard saying, \"Jackson is a sage if and only if (Jackson is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1820, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]]]], [\"or\", [\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 7]], [\"and\", [\"...
{"split": "train", "index": 19598}
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: Joseph, Ava, Evelyn, Henry, Aurora, Avery, William, Zoey, and Jacob. Joseph said, \"(it is not the case that (if Henry is an angel then William is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1821, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"lying\", 6]], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]], [\"not\", [\"telling-truth\", 8]]], [\"tellin...
{"split": "train", "index": 19599}