data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
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, Liam, Emily, Avery, and Penelope. In a statement by Logan: \"Avery is a devil\". \"it is not the case that ((if Penelope is a devil then Avery i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1566, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"->\", [\"lying\", 3], [\"not\", [\"or\", [\"tellin... | {"split": "train", "index": 14900} |
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: Lucas, Owen, Harper, Jackson, and Aiden. In a statement by Lucas: \"Harper is a sinner and ((Jackson is a sinner or Lucas is a saint) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1567, \"statements\": [[\"and\", [\"lying\", 2], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"or\", [\"not\", [\"lying\", 0]], [\"or\", [\"not\", [\"tellin... | {"split": "train", "index": 14901} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Harper, Mason, Ethan, and Logan. Charlotte stated, \"Harper is an altruist\". Harper asserted: \"(Mason is an altruist) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1568, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"tellin... | {"split": "train", "index": 14902} |
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: Emily, Emma, Ella, Abigail, and Harper. Emily asserted: \"Emma is a devil\". Emma stated, \"if ((Harper is an angel) or (Abigail is an angel and Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1569, \"statements\": [[\"lying\", 1], [\"->\", [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"not\", [\"or\", [\"and\",... | {"split": "train", "index": 14903} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Noah, Sebastian, Aiden, Jackson, and Alexander. In Noah's words: \"(it is not the case that (Aiden is a fool or Jackson is a fool)) and (Jackson is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1570, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"or\"... | {"split": "train", "index": 14904} |
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, Matthew, Zoey, Luke, and Sophia. As Sebastian put it, \"((Matthew is an egoist or Luke is an altruist) and Zoey is an egoist) and ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1571, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-tr... | {"split": "train", "index": 14905} |
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: Ella, Sebastian, Isabella, Grace, and Aria. According to Ella, \"Isabella is an egoist\". Sebastian expressed that (Aria is an altruist and Isa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1572, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lying\", 0]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"->\", [\"->\", [\"telling-t... | {"split": "train", "index": 14906} |
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: Riley, Alexander, Scarlett, Aurora, and Abigail. Riley told you that ((Alexander is a laggard or Abigail is a pioneer) if and only if Aurora is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1573, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 3]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"and\", [\"not\", [\"<=>\", [\"lying\", 4], ... | {"split": "train", "index": 14907} |
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, Logan, Luke, Isabella, and Elizabeth. Benjamin said, \"Luke is a sinner if and only if (if Elizabeth is a saint then (if Elizabeth is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1574, \"statements\": [[\"<=>\", [\"lying\", 2], [\"->\", [\"telling-truth\", 4], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"telling-truth\", 3... | {"split": "train", "index": 14908} |
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: Victoria, Matthew, Liam, Joseph, and Sebastian. Victoria stated, \"Sebastian is an altruist\". In Matthew's words: \"it is not the case that (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1575, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]]], [\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\"... | {"split": "train", "index": 14909} |
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, Liam, Jack, Victoria, and Joseph. Alexander told you that ((Jack is a hero) and (Liam is a villain or Joseph is a villain)) and (if (if Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1576, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"->\", [\"telli... | {"split": "train", "index": 14910} |
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, Riley, Jacob, Scarlett, and Isabella. \"it is not the case that ((Jacob is a villain if and only if Avery is a hero) or (Isabella is a hero if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1577, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"lying\", 0], [\"or\", [\"te... | {"split": "train", "index": 14911} |
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: Jack, William, Daniel, Jackson, and Sebastian. Jack said that Sebastian is a sage. As William put it, \"((Jackson is a sage if and only if Jackson is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1578, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 2]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 14912} |
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: Samuel, Alexander, David, Owen, and Harper. \"it is not the case that (it is not the case that (Alexander is an altruist or Harper is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1579, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\"... | {"split": "train", "index": 14913} |
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: Henry, Aiden, Luke, Emma, and Grace. \"(if Henry is an angel then (Henry is an angel and Grace is an angel)) or (it is not the case that (Luke is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1580, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"and\", [\"and\", [\"lying\", 3], [\... | {"split": "train", "index": 14914} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Noah, Oliver, Benjamin, Michael, and Abigail. Noah said that (Michael is an egoist and (Abigail is an egoist or Oliver is an egoist)) or ((Noah... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1581, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"-... | {"split": "train", "index": 14915} |
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, Scarlett, Evelyn, Aria, and Charlotte. Ethan told you that if ((Charlotte is a villain if and only if Scarlett is a hero) or (if Ethan is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1582, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-tru... | {"split": "train", "index": 14916} |
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: Lucas, Samuel, Abigail, Owen, and Jackson. Lucas was heard saying, \"if (Abigail is a hero if and only if (Abigail is a villain if and only if Jackso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1583, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 14917} |
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, Charlotte, Scarlett, Joseph, and Oliver. Lucas asserted: \"it is not the case that (Lucas is an altruist if and only if (if Scarlett is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1584, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"... | {"split": "train", "index": 14918} |
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: Zoey, Matthew, Joseph, Jacob, and Lucas. In a statement by Zoey: \"if ((Lucas is a fool if and only if Matthew is a sage) or (Lucas is a fool if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1585, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"->\", [\"and\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 14919} |
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, Grace, Henry, Liam, and Aiden. According to Daniel, \"it is not the case that (it is not the case that (Grace is an altruist and Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1586, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"->\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"or\", [... | {"split": "train", "index": 14920} |
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: Chloe, Mason, Owen, Victoria, and Lucas. Chloe asserted: \"if ((Chloe is a fool) and Lucas is a sage) then (it is not the case that (Owen is a fool))\". In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1587, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-t... | {"split": "train", "index": 14921} |
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: Zoey, Olivia, Matthew, Sophia, and Alexander. Zoey told you that ((Sophia is a devil and Matthew is a devil) and (Matthew is an angel if and only if Al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1588, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 1]... | {"split": "train", "index": 14922} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Liam, Emma, Mia, and Sophia. Charlotte commented, \"Mia is a knight\". Liam remarked, \"((Sophia is a knave) and (Emma is a knave)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1589, \"statements\": [[\"not\", [\"lying\", 3]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2],... | {"split": "train", "index": 14923} |
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: Emma, Logan, Victoria, Evelyn, and Daniel. Emma commented, \"Victoria is a villain if and only if (Evelyn is a villain and (Logan is a hero or Evelyn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1590, \"statements\": [[\"<=>\", [\"lying\", 2], [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 14924} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Mason, Emily, Chloe, and Lucas. In Zoey's words: \"if ((Zoey is a knight or Mason is a knave) if and only if (Lucas is a knave or Emily is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1591, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-tru... | {"split": "train", "index": 14925} |
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, Noah, Matthew, Jack, and Scarlett. David said, \"Noah is a pioneer.\" In a statement by Noah: \"it is not the case that (if (Jack is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1592, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"and\", [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 1]], [\"-... | {"split": "train", "index": 14926} |
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: Aria, Lily, Isabella, Emily, and Michael. Aria was heard saying, \"Michael is a knight\". Lily noted, \"if (if (Emily is a knave or Aria is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1593, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\"... | {"split": "train", "index": 14927} |
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, Isabella, Liam, Grace, and Jack. Sebastian said, \"Isabella is an angel.\" As Isabella put it, \"it is not the case that (if (Sebastian is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1594, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"or\", [\"lying\", 3], [\"not\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 14928} |
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: Lily, Chloe, Alexander, Michael, and Ella. Lily stated, \"((Michael is a sage if and only if Alexander is a fool) if and only if (if Chloe is a fool then C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1595, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"telling-truth\", 1]], [\"not\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 14929} |
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: Alexander, Ava, Matthew, Jackson, and Isabella. According to Alexander, \"if ((Isabella is a sinner and Matthew is a saint) or (Jackson is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1596, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"t... | {"split": "train", "index": 14930} |
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, Luke, Jack, Jacob, and Emma. \"Jacob is a knave,\" Benjamin mentioned. Luke said, \"if ((if Jacob is a knave then Jacob is a knight) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1597, \"statements\": [[\"lying\", 3], [\"->\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"->\", [\"not\", [\... | {"split": "train", "index": 14931} |
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: Owen, Ethan, Jacob, Michael, and Harper. \"Jacob is a laggard,\" Owen declared. \"(it is not the case that (Harper is a pioneer if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1598, \"statements\": [[\"lying\", 2], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 4], [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]]], [\"and\", [\"lying\", 4], [\"... | {"split": "train", "index": 14932} |
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, Ava, Logan, Oliver, and Benjamin. Lily noted, \"((Lily is a knight and Ava is a knave) and (Lily is a knave)) if and only if (if Logan is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1599, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]]], [\"not\", [\"not\", [\"or\... | {"split": "train", "index": 14933} |
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, Aurora, Emily, Sebastian, and Mason. \"(if (Mason is a pioneer if and only if Sebastian is a pioneer) then (Emily is a laggard and Emily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1600, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\... | {"split": "train", "index": 14934} |
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: Isabella, Charlotte, Ella, Evelyn, and Mia. Isabella noted, \"(it is not the case that (Ella is a sinner if and only if Ella is a saint)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1601, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]]], [\"lying\", 2], [\"->\", [\"or\", [\"not\... | {"split": "train", "index": 14935} |
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: Sophia, Zoey, Liam, Ethan, and Scarlett. In Sophia's words: \"(it is not the case that (Scarlett is a devil)) or (if (Scarlett is an angel) then Zoey i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1602, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"tell... | {"split": "train", "index": 14936} |
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: Elizabeth, Michael, Lucas, Matthew, and Ava. Elizabeth stated, \"if (if (Matthew is a hero and Lucas is a hero) then (Elizabeth is a villain)) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1603, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 3... | {"split": "train", "index": 14937} |
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: Ethan, Emma, Sophia, Abigail, and Jack. As Ethan put it, \"Ethan is an angel if and only if ((Emma is a devil or Abigail is a devil) if and only if (Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1604, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"or\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2... | {"split": "train", "index": 14938} |
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: Aria, Grace, Samuel, Emily, and Avery. Aria remarked, \"((Samuel is a sinner) if and only if (Samuel is a sinner if and only if Avery is a sinner)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1605, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 2]], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 14939} |
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: James, Owen, Emily, Mia, and Logan. According to James, \"Emily is a laggard or (it is not the case that (Emily is a laggard and Owen is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1606, \"statements\": [[\"or\", [\"lying\", 2], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"lying\... | {"split": "train", "index": 14940} |
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, Mia, Benjamin, Emma, and Samuel. Alexander told you that (if (Emma is an altruist) then (Benjamin is an egoist and Mia is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1607, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"not\", [\"->\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 14941} |
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: Zoey, Victoria, Aurora, Owen, and Riley. Zoey expressed that Owen is a sinner. Victoria said that it is not the case that ((Aurora is a saint) or (Zo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1608, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"lying\", 4]]]], [\"not\", [\"->\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 0], [\"te... | {"split": "train", "index": 14942} |
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: Daniel, Henry, Sebastian, Lucas, and Lily. Daniel expressed that (Lily is a fool if and only if (Daniel is a sage if and only if Sebastian is a fool)) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1609, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"and\", [\"telling-truth\", 4], [\"->\", [\"<=>\",... | {"split": "train", "index": 14943} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Michael, David, Joseph, and Chloe. Grace stated, \"(if (Chloe is a fool or Joseph is a fool) then (if David is a sage then Michael is a sage)) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1610, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 14944} |
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: Charlotte, Sofia, Olivia, Victoria, and Jack. \"Victoria is a sinner,\" Charlotte declared. As Sofia put it, \"Olivia is a saint\". Olivia told you t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1611, \"statements\": [[\"lying\", 3], [\"telling-truth\", 2], [\"and\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 14945} |
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: Lucas, Benjamin, Abigail, Avery, and Isabella. \"((Avery is a hero) or Lucas is a hero) and ((Avery is a hero) and (Lucas is a hero if and only if Ab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1612, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 0]], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"->\", [\"telling-truth\", 3], [... | {"split": "train", "index": 14946} |
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: Michael, Charlotte, James, Joseph, and Jackson. Michael asserted: \"if James is a knight then ((Joseph is a knight if and only if Michael is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1613, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 3]]]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"... | {"split": "train", "index": 14947} |
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: Owen, Olivia, Scarlett, Joseph, and Ella. Owen stated, \"((if Scarlett is a hero then Scarlett is a villain) and (Joseph is a hero)) and (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1614, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"not\", [\"telling-truth\", 1]]... | {"split": "train", "index": 14948} |
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, James, Riley, Lily, and Scarlett. Grace told you that if Riley is a pioneer then ((Scarlett is a laggard and Grace is a pioneer) or (Gra... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1615, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"->\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3]... | {"split": "train", "index": 14949} |
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: Amelia, Sophia, Michael, Logan, and Liam. Amelia said, \"(if (Amelia is a laggard) then (if Sophia is a laggard then Logan is a laggard)) or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1616, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]... | {"split": "train", "index": 14950} |
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, Jacob, Amelia, Mia, and Matthew. In Avery's words: \"(it is not the case that (if Avery is a hero then Amelia is a villain)) if and only if Am... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1617, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0... | {"split": "train", "index": 14951} |
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: Abigail, Aiden, Harper, Riley, and Jacob. Abigail stated, \"(if (Abigail is an altruist or Harper is an altruist) then (if Harper is an egoist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1618, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-tr... | {"split": "train", "index": 14952} |
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: Benjamin, Aurora, Aiden, Liam, and Owen. Benjamin told you that ((Aiden is a pioneer) if and only if (Aurora is a laggard)) if and only if Owen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1619, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 4]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 14953} |
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: Liam, Mia, Ava, Ella, and Jackson. Liam was heard saying, \"((Jackson is a knight and Ella is a knave) if and only if (Jackson is a knight)) or (it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1620, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 1]]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"no... | {"split": "train", "index": 14954} |
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, Aiden, Benjamin, Ella, and Luke. \"(it is not the case that (Aiden is an angel or Aiden is a devil)) and ((if Benjamin is an angel then Aiden is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1621, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"... | {"split": "train", "index": 14955} |
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, Ella, Owen, Oliver, and Victoria. According to Avery, \"(if (if Ella is a fool then Avery is a sage) then Owen is a sage) and ((if Avery is a sage t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1622, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]]], [\"an... | {"split": "train", "index": 14956} |
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: Jack, Ella, Isabella, Victoria, and Sophia. Jack commented, \"((Isabella is a hero or Ella is a villain) if and only if (Ella is a villain)) or (if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1623, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\... | {"split": "train", "index": 14957} |
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: Liam, Alexander, Scarlett, Zoey, and Daniel. \"(it is not the case that (Daniel is an angel or Zoey is an angel)) and ((Daniel is a devil and Daniel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1624, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"<=>\", [... | {"split": "train", "index": 14958} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ella, Lucas, Liam, Owen, and Mason. According to Ella, \"it is not the case that (it is not the case that (Owen is a villain))\". In Lucas's words: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1625, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"->\", [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-tru... | {"split": "train", "index": 14959} |
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: Jackson, Daniel, Liam, Alexander, and Sophia. \"it is not the case that ((if Liam is a devil then Liam is an angel) or (Daniel is an angel and Sophia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1626, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"not\", [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 2], [\... | {"split": "train", "index": 14960} |
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, Avery, Daniel, Olivia, and Alexander. As Scarlett put it, \"it is not the case that (if (Scarlett is an angel and Daniel is an angel) then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1627, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"an... | {"split": "train", "index": 14961} |
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, Logan, Aurora, Joseph, and Evelyn. Grace said, \"Grace is an altruist.\" Logan said that if (Logan is an altruist and (Grace is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1628, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"and\", [\"telling-truth\", 1], [\"not\", [\"lying\", 0]]], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"l... | {"split": "train", "index": 14962} |
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, Penelope, Noah, Harper, and Emma. \"it is not the case that ((Noah is an angel if and only if Noah is a devil) and (if William is an angel the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1629, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"lying\", 0], [\"or\", [\"... | {"split": "train", "index": 14963} |
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, Matthew, Charlotte, Avery, and Aurora. In Aria's words: \"Avery is an altruist\". Matthew noted, \"((if Matthew is an altruist then Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1630, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\",... | {"split": "train", "index": 14964} |
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: Liam, Luke, Joseph, Sofia, and James. Liam asserted: \"if (it is not the case that (Sofia is an angel if and only if Joseph is an angel)) then Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1631, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\",... | {"split": "train", "index": 14965} |
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, Jacob, Abigail, Lucas, and Olivia. Sebastian said that Olivia is an egoist. In a statement by Jacob: \"((if Sebastian is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1632, \"statements\": [[\"lying\", 4], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"lying\", 0], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]]... | {"split": "train", "index": 14966} |
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: Daniel, Mason, Grace, Oliver, and Matthew. Daniel stated, \"it is not the case that ((Matthew is a knave) or (Oliver is a knave))\". Mason told you t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1633, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\... | {"split": "train", "index": 14967} |
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: Jackson, Sebastian, William, Oliver, and Victoria. Jackson said that if Sebastian is a knave then ((Jackson is a knight and William is a knight) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1634, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 14968} |
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, Mason, Luke, Riley, and Lucas. Grace commented, \"((if Mason is a saint then Lucas is a sinner) or (Mason is a saint and Lucas is a saint)) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1635, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"no... | {"split": "train", "index": 14969} |
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: Jack, Aria, Daniel, Penelope, and Noah. \"it is not the case that (it is not the case that (Aria is an altruist if and only if Daniel is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1636, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"lying\", 3]], [\"<=>\", [\"no... | {"split": "train", "index": 14970} |
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: Joseph, David, Sebastian, Daniel, and Olivia. \"((Sebastian is a knight if and only if Olivia is a knave) and (Sebastian is a knight)) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1637, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling... | {"split": "train", "index": 14971} |
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: Riley, Oliver, Logan, Scarlett, and Jack. Riley said, \"((Jack is a villain and Oliver is a hero) or (Logan is a villain and Jack is a hero)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1638, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 14972} |
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: Mia, Sebastian, Jack, Matthew, and Charlotte. In a statement by Mia: \"it is not the case that (it is not the case that (Sebastian is a villain))\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1639, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"->\... | {"split": "train", "index": 14973} |
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: Chloe, Jacob, Mia, Aurora, and Logan. Chloe remarked, \"((Chloe is an angel or Aurora is an angel) and (Aurora is a devil if and only if Logan is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1640, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"te... | {"split": "train", "index": 14974} |
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, Jacob, Isabella, Michael, and James. According to Lucas, \"((Isabella is an angel or Isabella is a devil) and (if Michael is an angel then Jacob... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1641, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"->\", [\"<=>\", [\"t... | {"split": "train", "index": 14975} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Harper, Logan, William, Victoria, and Noah. Harper told you that if William is a fool then ((William is a fool or Victoria is a fool) or (Noah is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1642, \"statements\": [[\"->\", [\"lying\", 2], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"->\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 14976} |
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: Alexander, Aria, Jacob, Emma, and Owen. \"it is not the case that ((if Jacob is a sage then Emma is a fool) if and only if (if Aria is a fool then Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1643, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\... | {"split": "train", "index": 14977} |
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: Benjamin, Scarlett, Sophia, Chloe, and Henry. \"((Henry is a pioneer or Sophia is a laggard) or (Henry is a pioneer and Chloe is a pioneer)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1644, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"lying\", 2]]], [\"or... | {"split": "train", "index": 14978} |
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: Evelyn, Ella, Chloe, James, and Emma. Evelyn stated, \"Ella is a devil\". Ella remarked, \"((Ella is an angel if and only if James is an angel) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1645, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2... | {"split": "train", "index": 14979} |
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, Michael, Noah, David, and Jackson. Grace said, \"it is not the case that ((Jackson is a laggard or Noah is a pioneer) or (Jackson is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1646, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", ... | {"split": "train", "index": 14980} |
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: Aiden, Jacob, Alexander, Logan, and Ethan. Aiden noted, \"((Alexander is an altruist) and Ethan is an egoist) and ((Aiden is an altruist or Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1647, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 2]], [\"lying\", 4]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 3]]], [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"and\", [... | {"split": "train", "index": 14981} |
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: Jack, Aria, Michael, James, and William. Jack asserted: \"Aria is a fool\". Aria commented, \"it is not the case that ((if Jack is a sage then William is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1648, \"statements\": [[\"lying\", 1], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4... | {"split": "train", "index": 14982} |
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: Alexander, Evelyn, Ella, Liam, and Aiden. Alexander told you that ((Aiden is a knave) or (Evelyn is a knave if and only if Alexander is a knight)) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1649, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 14983} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Ava, Jackson, Henry, and Aiden. David said that if (if (if Henry is an angel then Henry is a devil) then (Ava is an angel and Ava is a devil)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1650, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]]... | {"split": "train", "index": 14984} |
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: Sophia, Lily, Charlotte, Daniel, and Zoey. Sophia noted, \"((if Charlotte is a hero then Zoey is a villain) if and only if (if Charlotte is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1651, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"... | {"split": "train", "index": 14985} |
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, Grace, Emily, Elizabeth, and Daniel. Michael asserted: \"(it is not the case that (Emily is a fool if and only if Daniel is a sage)) or (if (Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1652, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"and\", [\"and\"... | {"split": "train", "index": 14986} |
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, Luke, Evelyn, Aurora, and Penelope. Noah told you that if ((Evelyn is an angel if and only if Luke is a devil) and Evelyn is an angel) then ((Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1653, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 2]], [\"and\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]]], [\"lying\", 3], [\"->\", [\"->\", ... | {"split": "train", "index": 14987} |
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: Alexander, Aiden, Mia, Matthew, and Lucas. Alexander said, \"(it is not the case that (if Lucas is an angel then Mia is a devil)) if and only if ((Aide... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1654, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 2]]]], [\"telling-truth\", 2], [\"... | {"split": "train", "index": 14988} |
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: Emily, Isabella, Sophia, Henry, and Liam. Emily was heard saying, \"(if (Henry is an angel if and only if Sophia is an angel) then (Sophia is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1655, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]... | {"split": "train", "index": 14989} |
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: Sofia, Lucas, Ethan, Mason, and Zoey. Sofia told you that if Ethan is an altruist then ((Ethan is an altruist) or (if Ethan is an altruist then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1656, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=... | {"split": "train", "index": 14990} |
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: Joseph, Noah, Scarlett, Aurora, and Isabella. Joseph said, \"((Aurora is a knight and Aurora is a knave) and (Noah is a knight)) and (Isabella is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1657, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"not\", [\"lying\", 4]]], [\"lying\", 0], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"tell... | {"split": "train", "index": 14991} |
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: Isabella, Michael, Emily, Ethan, and Owen. As Isabella put it, \"it is not the case that ((Ethan is a pioneer) if and only if (Ethan is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1658, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\"... | {"split": "train", "index": 14992} |
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: Charlotte, Lucas, Luke, Ava, and Avery. Charlotte said, \"((Avery is a laggard if and only if Avery is a pioneer) or (Luke is a laggard and Ava... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1659, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"not\", [\"or\", [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 14993} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Chloe, Mia, Avery, Charlotte, and Sophia. Chloe remarked, \"(if (Charlotte is a laggard or Charlotte is a pioneer) then (Charlotte is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1660, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"not\", [\... | {"split": "train", "index": 14994} |
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: Emily, Jacob, Aurora, Charlotte, and Samuel. In a statement by Emily: \"(if (Charlotte is a fool) then (Jacob is a sage)) if and only if ((Jacob is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1661, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]]], ... | {"split": "train", "index": 14995} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Michael, Zoey, Ava, and Luke. \"it is not the case that (if (Michael is an angel or Michael is a devil) then (if Ava is a devil then Luke is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1662, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"or\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"l... | {"split": "train", "index": 14996} |
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, Zoey, Michael, Chloe, and Luke. In a statement by Isabella: \"if (Luke is a villain and (Isabella is a hero if and only if Chloe is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1663, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]... | {"split": "train", "index": 14997} |
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: Samuel, Amelia, Lily, Zoey, and Owen. Samuel commented, \"Amelia is an angel\". Amelia told you that it is not the case that ((Owen is an angel if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1664, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"lying\", 4]]], [\"lying\", 0], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]... | {"split": "train", "index": 14998} |
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: Ava, Olivia, Daniel, Aiden, and David. Ava said that it is not the case that (Daniel is a pioneer if and only if Daniel is a laggard). As Olivi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1665, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"lying\", 4], [\"->\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"or\", [\"lying\", 1], [\"-... | {"split": "train", "index": 14999} |
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