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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 5 inhabitants: Avery, Grace, David, Samuel, and Isabella. Avery told you that it is not the case that (if Samuel is an altruist then David is an egoist). Grac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1788, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"lying\", 2], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], ...
{"split": "train", "index": 12900}
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 5 inhabitants: Sebastian, Benjamin, Penelope, Noah, and Samuel. Sebastian said, \"(Sebastian is a pioneer and Penelope is a laggard and Noah is a laggard and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1789, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 3]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"or\"...
{"split": "train", "index": 12901}
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 5 inhabitants: Olivia, Aria, Sofia, Ethan, and Matthew. As Olivia put it, \"(if Matthew is an egoist then Ethan is an egoist) and Matthew is an egoist\". Aria...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1790, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 4]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"lyin...
{"split": "train", "index": 12902}
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 5 inhabitants: Lucas, Luke, Aria, Riley, and Oliver. Lucas stated, \"it is not the case that (Oliver is an altruist if and only if Aria is an egoist)\". Luke ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1791, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling...
{"split": "train", "index": 12903}
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 5 inhabitants: Abigail, Scarlett, Liam, Jack, and James. \"it is not the case that (Scarlett is a knight and Liam is a knave and Abigail is a knight and Jack is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1792, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\"...
{"split": "train", "index": 12904}
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 5 inhabitants: Noah, Benjamin, Liam, Grace, and Sofia. \"Grace is a devil if and only if Benjamin is a devil,\" Noah mentioned. According to Benjamin, \"Sofia is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1793, \"statements\": [[\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 4], [\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"t...
{"split": "train", "index": 12905}
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 5 inhabitants: Scarlett, Michael, Benjamin, Penelope, and William. Scarlett expressed that Michael is a villain or Michael is a hero or (Benjamin is a hero). Michae...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1794, \"statements\": [[\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"not\", [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"tell...
{"split": "train", "index": 12906}
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 5 inhabitants: Ethan, Riley, Evelyn, Aiden, and Sofia. In Ethan's words: \"it is not the case that (Riley is a fool and Ethan is a sage and Evelyn is a sage)\". Riley not...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1795, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [...
{"split": "train", "index": 12907}
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 5 inhabitants: Chloe, Charlotte, Grace, Emily, and William. Chloe said, \"it is not the case that (Chloe is a saint and Emily is a sinner and William is a sinner).\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1796, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]]], [\"lying\", 3], [\"tellin...
{"split": "train", "index": 12908}
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 5 inhabitants: David, Harper, Jacob, Penelope, and Henry. David expressed that Harper is a knight. Harper said that (Jacob is a knight or Henry is a knave or David ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1797, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"telling-truth\",...
{"split": "train", "index": 12909}
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 5 inhabitants: Charlotte, Ella, Scarlett, Victoria, and Sophia. Charlotte expressed that it is not the case that (Scarlett is a hero and Sophia is a hero). \"Victor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1798, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"lying\", 3], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"l...
{"split": "train", "index": 12910}
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 5 inhabitants: Logan, Owen, Jacob, Aiden, and Noah. Logan remarked, \"(Jacob is a sage) or (Logan is a sage if and only if Owen is a fool) or (if Noah is a sage then Owen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1799, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\",...
{"split": "train", "index": 12911}
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 5 inhabitants: Aurora, Alexander, Jack, Logan, and Benjamin. Aurora said, \"Alexander is a laggard if and only if Alexander is a pioneer.\" According to Alexa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1800, \"statements\": [[\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying...
{"split": "train", "index": 12912}
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 5 inhabitants: Zoey, Alexander, Emily, Sebastian, and Aria. Zoey said that it is not the case that (Alexander is a pioneer). In a statement by Alexander: \"Se...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1801, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"ly...
{"split": "train", "index": 12913}
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 5 inhabitants: Oliver, Ava, Emily, Olivia, and Sofia. \"(if Sofia is a pioneer then Emily is a pioneer) and (Oliver is a pioneer and Emily is a pioneer and Av...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1802, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\"...
{"split": "train", "index": 12914}
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 5 inhabitants: Mia, Evelyn, Avery, Sophia, and Lily. Mia was heard saying, \"it is not the case that (Avery is a knight and Sophia is a knight and Mia is a knight a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1803, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"lyin...
{"split": "train", "index": 12915}
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 5 inhabitants: Scarlett, David, Jack, Amelia, and Emma. Scarlett told you that if (Jack is a hero or Amelia is a villain) then (Jack is a hero if and only if Emma i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1804, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\",...
{"split": "train", "index": 12916}
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 5 inhabitants: Avery, Ava, Sofia, Scarlett, and Abigail. Avery said that Ava is an egoist. In Ava's words: \"(Abigail is an altruist if and only if Avery is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1805, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 3]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 4...
{"split": "train", "index": 12917}
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 5 inhabitants: Samuel, Sebastian, Jacob, Sofia, and Zoey. According to Samuel, \"(Jacob is a villain) if and only if (Zoey is a hero and Jacob is a hero)\". Sebasti...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1806, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", ...
{"split": "train", "index": 12918}
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 5 inhabitants: Benjamin, Jack, Amelia, Charlotte, and William. Benjamin said that if (Amelia is a sinner or Amelia is a saint or Charlotte is a saint) then (Charlot...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1807, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2],...
{"split": "train", "index": 12919}
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 5 inhabitants: Alexander, William, Liam, Samuel, and Evelyn. According to Alexander, \"(Alexander is an altruist if and only if Liam is an egoist) and (Liam i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1808, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lyi...
{"split": "train", "index": 12920}
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 5 inhabitants: Michael, Noah, Daniel, Penelope, and Elizabeth. In Michael's words: \"(Penelope is a sage and Elizabeth is a sage and Penelope is a fool and Noah is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1809, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\"...
{"split": "train", "index": 12921}
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 5 inhabitants: Daniel, Amelia, Olivia, Liam, and Mason. Daniel was heard saying, \"(Amelia is an altruist and Mason is an egoist and Mason is an altruist) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1810, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", ...
{"split": "train", "index": 12922}
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 5 inhabitants: James, Mia, Noah, Zoey, and Abigail. James said, \"(Abigail is a saint) if and only if Zoey is a sinner.\" Mia stated, \"if (Abigail is a sinner if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1811, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"lying\", 3]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"lying\", 2]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", ...
{"split": "train", "index": 12923}
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 5 inhabitants: Grace, Charlotte, William, Jackson, and Olivia. \"if (William is a laggard and Grace is a pioneer and Charlotte is a pioneer) then (Charlotte i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1812, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"telling-tru...
{"split": "train", "index": 12924}
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 5 inhabitants: Oliver, Benjamin, Mia, Henry, and Lily. \"if (Benjamin is a saint or Oliver is a saint) then (Mia is a saint or Lily is a saint)\" - Oliver. Benjamin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1813, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 2], [\"telling-truth\"...
{"split": "train", "index": 12925}
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 5 inhabitants: Ava, Scarlett, Alexander, Jack, and Aiden. \"Scarlett is a sinner if and only if (Alexander is a saint if and only if Jack is a saint),\" Ava claimed...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1814, \"statements\": [[\"<=>\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"lying\", 4], [\"lying\", 0], [\"->\", [\"telling-truth\", 3], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [...
{"split": "train", "index": 12926}
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 5 inhabitants: Scarlett, Aiden, James, Emily, and Chloe. In a statement by Scarlett: \"(if Scarlett is an angel then Aiden is a devil) or (Emily is a devil or James i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1815, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"telling-trut...
{"split": "train", "index": 12927}
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 5 inhabitants: Ava, Isabella, Lily, Joseph, and David. Ava asserted: \"David is a hero and (David is a hero if and only if Ava is a hero) and (Ava is a hero and Isa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1816, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"lying\...
{"split": "train", "index": 12928}
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 5 inhabitants: Zoey, Amelia, Matthew, Lily, and Emma. Zoey expressed that Zoey is an altruist or (if Lily is an egoist then Amelia is an egoist) or (Matthew i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1817, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"l...
{"split": "train", "index": 12929}
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 5 inhabitants: Ethan, David, Mason, Jack, and Sofia. \"Mason is a laggard or (Ethan is a pioneer or David is a laggard or Sofia is a laggard or Jack is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1818, \"statements\": [[\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"tellin...
{"split": "train", "index": 12930}
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 5 inhabitants: Jackson, Harper, Charlotte, Samuel, and Grace. Jackson said that (if Harper is a laggard then Charlotte is a laggard) or (Samuel is a laggard o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1819, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 0], [\"tellin...
{"split": "train", "index": 12931}
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 5 inhabitants: Mia, Amelia, Benjamin, William, and Riley. Mia remarked, \"if (William is a fool if and only if Amelia is a fool) then Riley is a sage\". In a statement by...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1820, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"lying\", 3], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\...
{"split": "train", "index": 12932}
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 5 inhabitants: Harper, Amelia, Owen, James, and Samuel. Harper noted, \"if (Owen is a laggard and Amelia is a pioneer) then (Samuel is a pioneer or Owen is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1821, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 4], [\"lying...
{"split": "train", "index": 12933}
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 5 inhabitants: Ethan, Benjamin, Ava, Luke, and Joseph. \"Luke is a hero\" - Ethan. Benjamin asserted: \"(if Joseph is a hero then Ava is a hero) and (if Ethan is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1822, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [...
{"split": "train", "index": 12934}
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 5 inhabitants: Samuel, Jack, Elizabeth, Jacob, and Ella. Samuel asserted: \"(Elizabeth is a sage or Ella is a sage or Samuel is a sage or Jacob is a fool) and (Elizabeth ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1823, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"lying\", 4], [\"or\", [\...
{"split": "train", "index": 12935}
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 5 inhabitants: Lily, Noah, James, Victoria, and Oliver. Lily noted, \"James is a knave\". Noah noted, \"(James is a knave or Noah is a knight) or Oliver is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1824, \"statements\": [[\"lying\", 2], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"-...
{"split": "train", "index": 12936}
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 5 inhabitants: Michael, Mia, Isabella, Jacob, and Evelyn. Michael was heard saying, \"if (Jacob is a hero and Michael is a hero and Mia is a villain and Evelyn is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1825, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [...
{"split": "train", "index": 12937}
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 5 inhabitants: Isabella, Joseph, Benjamin, James, and Lily. As Isabella put it, \"(Lily is a devil if and only if Benjamin is a devil) and (if Joseph is a devil then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1826, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]],...
{"split": "train", "index": 12938}
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 5 inhabitants: Joseph, Daniel, Victoria, Grace, and Lucas. \"if (Daniel is a sage) then (Lucas is a fool)\" - Joseph. Daniel remarked, \"Joseph is a fool\". \"(if Joseph ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1827, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"or\", [...
{"split": "train", "index": 12939}
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 5 inhabitants: Lucas, Chloe, Emma, Noah, and Mason. \"(Lucas is an angel if and only if Chloe is an angel) and (Emma is an angel and Noah is a devil and Noah is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1828, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"->...
{"split": "train", "index": 12940}
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 5 inhabitants: Avery, Emma, Aurora, Evelyn, and Mia. In a statement by Avery: \"Evelyn is an angel if and only if (Mia is a devil if and only if Emma is a devil)\". E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1829, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telli...
{"split": "train", "index": 12941}
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 5 inhabitants: Logan, Jackson, Scarlett, Mia, and Aria. \"it is not the case that (if Jackson is an angel then Scarlett is an angel),\" Logan claimed. \"Aria is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1830, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling...
{"split": "train", "index": 12942}
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 5 inhabitants: Sophia, Olivia, Daniel, Benjamin, and Aurora. \"(Daniel is a sinner) if and only if (Sophia is a saint or Daniel is a saint or Aurora is a saint),\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1831, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"tel...
{"split": "train", "index": 12943}
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 5 inhabitants: Elizabeth, Penelope, Jacob, Matthew, and Sebastian. In a statement by Elizabeth: \"(Jacob is a knave if and only if Sebastian is a knave) or Jacob is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1832, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"l...
{"split": "train", "index": 12944}
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 5 inhabitants: James, Joseph, Elizabeth, Sebastian, and Jacob. \"it is not the case that (Jacob is a devil or Joseph is a devil or Joseph is an angel)\" - James. \"if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1833, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 4], ...
{"split": "train", "index": 12945}
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 5 inhabitants: Jack, Charlotte, Grace, Benjamin, and Alexander. Jack commented, \"Grace is a knave if and only if (Charlotte is a knight if and only if Grace is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1834, \"statements\": [[\"<=>\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\"...
{"split": "train", "index": 12946}
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 5 inhabitants: Grace, Penelope, Aiden, James, and Samuel. Grace remarked, \"if (Penelope is an altruist) then (James is an altruist if and only if Samuel is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1835, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-trut...
{"split": "train", "index": 12947}
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 5 inhabitants: Amelia, Mason, Joseph, Riley, and Olivia. Amelia asserted: \"Riley is a fool if and only if (Mason is a fool or Olivia is a fool)\". Mason commented, \"if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1836, \"statements\": [[\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 0], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"tel...
{"split": "train", "index": 12948}
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 5 inhabitants: Liam, Aiden, Jack, Michael, and Ethan. Liam told you that Aiden is a saint. \"it is not the case that (Liam is a sinner if and only if Aiden is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1837, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 1], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2], [\...
{"split": "train", "index": 12949}
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 5 inhabitants: Isabella, Aria, Matthew, Harper, and Olivia. In Isabella's words: \"(Harper is an egoist and Isabella is an altruist and Matthew is an egoist a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1838, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-...
{"split": "train", "index": 12950}
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 5 inhabitants: James, Olivia, Zoey, Lucas, and Aiden. As James put it, \"(Aiden is a knight) if and only if Olivia is a knave\". Olivia said that if Aiden is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1839, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"tell...
{"split": "train", "index": 12951}
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 5 inhabitants: Grace, Aiden, Jack, Riley, and Owen. \"if (if Riley is a saint then Jack is a saint) then (if Riley is a saint then Owen is a sinner),\" Grace claime...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1840, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], ...
{"split": "train", "index": 12952}
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 5 inhabitants: Isabella, Michael, Emma, Avery, and Ethan. In Isabella's words: \"Ethan is a villain and (Emma is a hero and Emma is a villain and Ethan is a hero)\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1841, \"statements\": [[\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"...
{"split": "train", "index": 12953}
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 5 inhabitants: Emma, Amelia, Avery, Joseph, and Liam. In Emma's words: \"if (Joseph is a fool) then (Amelia is a fool or Joseph is a sage or Amelia is a sage)\". In Ameli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1842, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 4]], [\"not\...
{"split": "train", "index": 12954}
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 5 inhabitants: Liam, Lucas, David, Ethan, and Mia. In a statement by Liam: \"Mia is a villain\". Lucas expressed that it is not the case that (Mia is a villain if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1843, \"statements\": [[\"lying\", 4], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 4]], [\"telling-truth\", 4], [\"not\", [\"lying\",...
{"split": "train", "index": 12955}
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 5 inhabitants: Avery, Ella, Henry, Isabella, and Sophia. Avery said that (Sophia is a devil if and only if Henry is an angel) and Isabella is an angel and Ella is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1844, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"lying\", 1], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telli...
{"split": "train", "index": 12956}
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 5 inhabitants: Charlotte, Liam, Emma, Oliver, and Elizabeth. \"if (Liam is a knight) then (if Liam is a knight then Elizabeth is a knave),\" Charlotte claimed. \"(E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1845, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"tel...
{"split": "train", "index": 12957}
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 5 inhabitants: Avery, Sophia, Daniel, Emma, and Michael. According to Avery, \"(Emma is a hero if and only if Michael is a hero) or (Emma is a hero) or (if Avery is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1846, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]]...
{"split": "train", "index": 12958}
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 5 inhabitants: Amelia, Grace, Oliver, Luke, and Jackson. \"(Amelia is a devil) or (Grace is a devil or Amelia is an angel or Luke is a devil) or (Oliver is an angel o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1847, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"<=>\...
{"split": "train", "index": 12959}
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 5 inhabitants: Mia, Amelia, Olivia, Logan, and Isabella. Mia asserted: \"(if Olivia is a pioneer then Amelia is a laggard) or (if Amelia is a laggard then Isa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1848, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 0],...
{"split": "train", "index": 12960}
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 5 inhabitants: Alexander, Daniel, Charlotte, William, and Aiden. Alexander said, \"(Aiden is a villain if and only if William is a hero) or (Charlotte is a villain)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1849, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"l...
{"split": "train", "index": 12961}
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 5 inhabitants: Harper, Aurora, Jack, Logan, and Grace. Harper remarked, \"Jack is a sage and (Grace is a sage if and only if Logan is a fool) and (Jack is a sage and Loga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1850, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"lying\...
{"split": "train", "index": 12962}
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 5 inhabitants: Penelope, Jackson, Aurora, Jacob, and David. As Penelope put it, \"if (Aurora is an altruist and Jacob is an egoist and Jacob is an altruist) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1851, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\...
{"split": "train", "index": 12963}
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 5 inhabitants: Victoria, Oliver, Noah, Chloe, and Sofia. \"(Oliver is a sinner and Sofia is a saint and Noah is a sinner) if and only if (Chloe is a sinner if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1852, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 2]...
{"split": "train", "index": 12964}
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 5 inhabitants: Riley, Abigail, Sebastian, Charlotte, and Elizabeth. Riley told you that it is not the case that (Elizabeth is a sage and Abigail is a fool and Sebastian i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1853, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4], [...
{"split": "train", "index": 12965}
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 5 inhabitants: Lily, Sebastian, Sophia, Oliver, and Ava. Lily was heard saying, \"(if Ava is an altruist then Sophia is an egoist) and (Ava is an altruist and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1854, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 3]...
{"split": "train", "index": 12966}
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 5 inhabitants: Samuel, Harper, Ethan, Grace, and Jackson. Samuel noted, \"(Grace is a knave and Ethan is a knight and Harper is a knight) or (Harper is a knave)\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1855, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 2], [\"tell...
{"split": "train", "index": 12967}
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 5 inhabitants: Emma, Aurora, Sophia, Joseph, and Ella. In Emma's words: \"(Sophia is a knave and Joseph is a knight and Aurora is a knight) and (Aurora is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1856, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 3...
{"split": "train", "index": 12968}
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 5 inhabitants: Sebastian, Jack, Henry, Lily, and Logan. Sebastian remarked, \"it is not the case that (Sebastian is a knave)\". Jack expressed that it is not the ca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1857, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 4...
{"split": "train", "index": 12969}
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 5 inhabitants: Avery, Charlotte, Olivia, Mason, and Lucas. \"Charlotte is a sage,\" Avery mentioned. Charlotte said that Olivia is a fool. Olivia was heard saying, \"(Mas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1858, \"statements\": [[\"telling-truth\", 1], [\"lying\", 2], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 0]], [\"and\", [\"telling...
{"split": "train", "index": 12970}
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 5 inhabitants: Olivia, Riley, Harper, Aurora, and Michael. Olivia said, \"(Harper is a laggard if and only if Michael is a pioneer) and (Riley is a pioneer or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1859, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\"...
{"split": "train", "index": 12971}
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 5 inhabitants: Benjamin, Joseph, Logan, Harper, and Aurora. In a statement by Benjamin: \"(Benjamin is an altruist or Joseph is an altruist or Logan is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1860, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\",...
{"split": "train", "index": 12972}
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 5 inhabitants: Liam, Lily, Ethan, Michael, and Daniel. Liam remarked, \"it is not the case that (Lily is a sage or Daniel is a sage or Ethan is a sage)\". Lily asserted: ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1861, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"->\", [\"telling-trut...
{"split": "train", "index": 12973}
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 5 inhabitants: Amelia, Zoey, Abigail, Avery, and Aurora. Amelia was heard saying, \"(if Zoey is a knight then Amelia is a knight) if and only if (if Amelia is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1862, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying...
{"split": "train", "index": 12974}
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 5 inhabitants: Riley, Elizabeth, Oliver, Aiden, and Olivia. Riley said that (if Oliver is a sinner then Olivia is a sinner) if and only if (Aiden is a saint if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1863, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0]...
{"split": "train", "index": 12975}
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 5 inhabitants: Aiden, Sebastian, Michael, Lily, and Avery. Aiden noted, \"if (Sebastian is a knave and Avery is a knave and Lily is a knight and Michael is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1864, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-trut...
{"split": "train", "index": 12976}
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 5 inhabitants: Charlotte, Ella, Abigail, Aurora, and Daniel. Charlotte remarked, \"if (Abigail is a knight and Charlotte is a knight and Abigail is a knave) then (A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1865, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]],...
{"split": "train", "index": 12977}
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 5 inhabitants: Sebastian, Isabella, James, Henry, and Victoria. Sebastian asserted: \"Isabella is an egoist\". Isabella expressed that (Victoria is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1866, \"statements\": [[\"lying\", 1], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [...
{"split": "train", "index": 12978}
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 5 inhabitants: Avery, Mason, Emily, Logan, and Matthew. Avery remarked, \"(Matthew is a fool or Mason is a sage or Logan is a sage) or (Logan is a fool and Mason is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1867, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 3], [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 12979}
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 5 inhabitants: Ethan, Scarlett, Henry, Owen, and Aiden. In Ethan's words: \"Henry is a fool\". \"if (Ethan is a fool or Scarlett is a sage) then (Aiden is a fool),\" Scar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1868, \"statements\": [[\"lying\", 2], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", ...
{"split": "train", "index": 12980}
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 5 inhabitants: Charlotte, Riley, Sophia, Penelope, and Grace. \"Sophia is a hero and (Sophia is a hero if and only if Grace is a villain) and (Penelope is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1869, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"te...
{"split": "train", "index": 12981}
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 5 inhabitants: Elizabeth, Aria, Benjamin, Aurora, and Lucas. Elizabeth said that if (if Aurora is a sage then Aurora is a fool) then (Aurora is a sage and Benjamin is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1870, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\"...
{"split": "train", "index": 12982}
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 5 inhabitants: Liam, William, Isabella, Oliver, and Emma. Liam was heard saying, \"(Emma is an altruist and Isabella is an egoist and William is an altruist a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1871, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"<=>\"...
{"split": "train", "index": 12983}
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 5 inhabitants: David, Amelia, Ella, Olivia, and Michael. \"(Olivia is a laggard or Ella is a laggard) if and only if (Ella is a pioneer and Amelia is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1872, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3...
{"split": "train", "index": 12984}
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 5 inhabitants: Mason, Lily, Ava, Owen, and Daniel. Mason noted, \"Mason is a sage\". Lily was heard saying, \"if Lily is a sage then Ava is a sage\". \"Mason is a sage,\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1873, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"lying\",...
{"split": "train", "index": 12985}
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 5 inhabitants: Avery, Emily, Ethan, Victoria, and Emma. In a statement by Avery: \"(Emma is a knave or Victoria is a knave or Emily is a knave or Ethan is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1874, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\...
{"split": "train", "index": 12986}
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 5 inhabitants: Elizabeth, Joseph, Olivia, Sofia, and Alexander. Elizabeth said that Joseph is a pioneer. Joseph said, \"(Alexander is a laggard) and (Olivia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1875, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-tr...
{"split": "train", "index": 12987}
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 5 inhabitants: Aurora, Isabella, Evelyn, Ethan, and Emma. Aurora was heard saying, \"if (Isabella is an egoist and Isabella is an altruist and Evelyn is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1876, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telli...
{"split": "train", "index": 12988}
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 5 inhabitants: Charlotte, Ella, Amelia, William, and Samuel. In a statement by Charlotte: \"Amelia is a devil\". As Ella put it, \"(Charlotte is an angel and Samuel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1877, \"statements\": [[\"lying\", 2], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]], [\"lying\", 4]], [\"->\", [\"<=>\", [\"lying\", 0...
{"split": "train", "index": 12989}
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 5 inhabitants: Sebastian, Abigail, Michael, Noah, and Amelia. Sebastian was heard saying, \"Amelia is a devil\". \"if (if Abigail is an angel then Michael is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1878, \"statements\": [[\"lying\", 4], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [...
{"split": "train", "index": 12990}
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 5 inhabitants: Aria, Noah, Jacob, Chloe, and Luke. Aria told you that (Luke is an altruist) or Luke is an altruist. \"Jacob is an altruist,\" Noah claimed. In...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1879, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 4],...
{"split": "train", "index": 12991}
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 5 inhabitants: Logan, Sebastian, Jack, Scarlett, and Noah. \"(if Jack is a pioneer then Noah is a pioneer) and (Sebastian is a laggard and Jack is a laggard) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1880, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"<=>\...
{"split": "train", "index": 12992}
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 5 inhabitants: Charlotte, Oliver, Emily, Ella, and Sebastian. \"if (Emily is an angel or Emily is a devil or Sebastian is a devil) then Sebastian is an angel,\" Charl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1881, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 4]], [\"lying\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"tellin...
{"split": "train", "index": 12993}
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 5 inhabitants: Jack, Riley, Zoey, Abigail, and Amelia. Jack told you that if (if Amelia is a sinner then Jack is a saint) then (Amelia is a sinner). In a statement ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1882, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lyin...
{"split": "train", "index": 12994}
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 5 inhabitants: Jacob, Elizabeth, Grace, Abigail, and Aria. \"(Grace is a laggard) and (Abigail is a pioneer if and only if Grace is a pioneer),\" Jacob declar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1883, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 2], [\"or\", [\"lying\", 3], [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"telling-tru...
{"split": "train", "index": 12995}
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 5 inhabitants: Lucas, Matthew, Ethan, Emma, and Charlotte. Lucas said that (Ethan is an angel if and only if Charlotte is an angel) and (Ethan is a devil and Charlott...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1884, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"lyin...
{"split": "train", "index": 12996}
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 5 inhabitants: Benjamin, Penelope, Emily, Alexander, and Noah. Benjamin commented, \"if (Alexander is a knave or Benjamin is a knight) then Alexander is a knave\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1885, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 3]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [...
{"split": "train", "index": 12997}
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 5 inhabitants: Scarlett, Liam, Jacob, Michael, and Aria. Scarlett said that Aria is a hero. \"if (Jacob is a hero and Scarlett is a villain and Liam is a hero) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1886, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\",...
{"split": "train", "index": 12998}
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 5 inhabitants: William, Grace, Ella, Emily, and Emma. \"if (Ella is an angel if and only if Emily is an angel) then (Emily is an angel or Emily is a devil or Grace is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1887, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 0], [\...
{"split": "train", "index": 12999}