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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Emma, Aiden, Lucas, and Olivia. \"Olivia is an altruist,\" Charlotte claimed. Emma asserted: \"if (it is not the case that (if Aiden... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 422, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 3], [\"telling-truth\", 0], [\... | {"split": "train", "index": 18200} |
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, Liam, Lucas, Sebastian, and Samuel. \"((Lucas is a knight) or Liam is a knave) and ((Samuel is a knight or Daniel is a knight or Liam is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 423, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 1]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\",... | {"split": "train", "index": 18201} |
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, Oliver, Luke, Logan, and Matthew. \"if (if (Logan is a devil or Luke is a devil) then (Luke is a devil if and only if Matthew is a devil)) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 424, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"tell... | {"split": "train", "index": 18202} |
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: Harper, Penelope, Michael, Joseph, and Samuel. \"((Samuel is a devil if and only if Joseph is a devil) if and only if (Samuel is an angel or Penelope i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 425, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 18203} |
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: Henry, Isabella, Abigail, Jack, and Aiden. In a statement by Henry: \"(if (Aiden is an altruist and Abigail is an egoist and Henry is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3],... | {"split": "train", "index": 18204} |
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, Jack, Luke, Jacob, and Alexander. Victoria asserted: \"Jack is a sinner if and only if Jacob is a sinner\". \"(Alexander is a sinner) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 427, \"statements\": [[\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"->\", [\"telling-truth\", 4], ... | {"split": "train", "index": 18205} |
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: Henry, Mia, William, Penelope, and Ethan. Henry told you that it is not the case that ((Henry is an altruist and Penelope is an egoist and Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 428, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\",... | {"split": "train", "index": 18206} |
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: Aiden, Harper, James, Mason, and Scarlett. In a statement by Aiden: \"Scarlett is a laggard\". In Harper's words: \"(if (Aiden is a laggard and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 429, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telli... | {"split": "train", "index": 18207} |
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: Noah, Chloe, Evelyn, Sebastian, and Ella. Noah told you that it is not the case that ((Sebastian is a pioneer if and only if Noah is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 430, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4], [\"telling-tru... | {"split": "train", "index": 18208} |
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: Aurora, Grace, Riley, Lucas, and Logan. Aurora remarked, \"it is not the case that ((Logan is a hero) or (if Grace is a villain then Grace is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 431, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]... | {"split": "train", "index": 18209} |
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, Victoria, Isabella, Jack, and Elizabeth. According to Mia, \"if ((Isabella is a knight) and (Isabella is a knight or Elizabeth is a knight or Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 432, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 18210} |
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: Aiden, Avery, Jack, Ella, and Aurora. \"Ella is a sage,\" Aiden declared. As Avery put it, \"((Aurora is a fool if and only if Jack is a sage) and (Avery i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 433, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]]... | {"split": "train", "index": 18211} |
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, Aria, Sofia, Owen, and Sebastian. Logan commented, \"it is not the case that ((if Owen is a pioneer then Sofia is a laggard) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 434, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"... | {"split": "train", "index": 18212} |
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, Aria, Sebastian, Oliver, and Henry. Avery said, \"(if Oliver is a devil then (Aria is a devil and Oliver is a devil and Sebastian is a devil and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 435, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"and\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"tellin... | {"split": "train", "index": 18213} |
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, James, Matthew, Ava, and Charlotte. \"Ava is a villain\" - Scarlett. James told you that if Scarlett is a hero then (Matthew is a hero). \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 436, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"not\", [\"lying\", 2]]], [\"lying\", 1], [\"telling-truth\", 4], [\"or\", [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]],... | {"split": "train", "index": 18214} |
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: Sofia, Penelope, Abigail, Noah, and Henry. Sofia said, \"if (Penelope is a villain) then (Noah is a hero).\" In Penelope's words: \"(Henry is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", 0], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-t... | {"split": "train", "index": 18215} |
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, Samuel, Riley, Alexander, and Joseph. Charlotte told you that it is not the case that ((Joseph is an altruist) or (Riley is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 438, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"lying\", 2], [\"or\", [\"lying\", 4], [\"or\", [\"lying\"... | {"split": "train", "index": 18216} |
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: Aiden, Lily, James, Avery, and Michael. According to Aiden, \"((if James is a fool then Avery is a sage) if and only if (if Avery is a sage then Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 439, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4],... | {"split": "train", "index": 18217} |
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: Abigail, Aurora, Alexander, Noah, and Jack. Abigail said that ((Aurora is a pioneer or Noah is a pioneer) if and only if (Jack is a pioneer)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 440, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 3]], [\... | {"split": "train", "index": 18218} |
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, Joseph, Isabella, David, and Mason. Jack was heard saying, \"Mason is an egoist\". As Joseph put it, \"David is an altruist\". Isabella r... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 441, \"statements\": [[\"lying\", 4], [\"telling-truth\", 3], [\"and\", [\"or\", [\"not\", [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not... | {"split": "train", "index": 18219} |
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: Daniel, Oliver, Elizabeth, Henry, and Grace. \"if Elizabeth is a pioneer then ((Daniel is a pioneer and Henry is a pioneer and Grace is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 442, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\"... | {"split": "train", "index": 18220} |
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, Abigail, Mason, Lily, and Harper. Emma asserted: \"(if (Harper is a hero) then (Harper is a hero or Harper is a villain or Lily is a hero or Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 443, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]],... | {"split": "train", "index": 18221} |
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, Jacob, David, Abigail, and Avery. Elizabeth noted, \"it is not the case that (it is not the case that (David is a fool if and only if Avery is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 444, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 1]... | {"split": "train", "index": 18222} |
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, Benjamin, Sofia, Amelia, and Penelope. Jack noted, \"((if Jack is a knight then Penelope is a knight) or (Sofia is a knight or Jack is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 445, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 1]], [\"lying\", 1], [\"or\", [\"telling-tr... | {"split": "train", "index": 18223} |
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: Grace, Elizabeth, Michael, Amelia, and Ethan. Grace told you that (if (Michael is a hero or Elizabeth is a hero or Ethan is a hero) then (Amelia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 446, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 0],... | {"split": "train", "index": 18224} |
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: Olivia, Harper, Amelia, Ava, and Avery. In a statement by Olivia: \"it is not the case that ((Amelia is a sage and Avery is a fool and Amelia is a fool) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 447, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"and\... | {"split": "train", "index": 18225} |
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: William, Ethan, Ava, Jacob, and Aiden. According to William, \"(it is not the case that (Jacob is an egoist)) and (if Ethan is an altruist then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 0], [\"... | {"split": "train", "index": 18226} |
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, Noah, Joseph, Jacob, and Ella. According to Alexander, \"(if (Alexander is a knight if and only if Jacob is a knight) then (Ella is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 449, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 1]... | {"split": "train", "index": 18227} |
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: Oliver, Evelyn, Michael, Mason, and Aria. As Oliver put it, \"((Oliver is a hero if and only if Michael is a hero) or (Aria is a hero if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 450, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"... | {"split": "train", "index": 18228} |
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, Daniel, Evelyn, Alexander, and Sofia. Noah stated, \"it is not the case that ((Evelyn is an egoist if and only if Alexander is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 451, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\... | {"split": "train", "index": 18229} |
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: Harper, Avery, Mason, Olivia, and Benjamin. Harper was heard saying, \"it is not the case that (it is not the case that (Harper is an angel or Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 452, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->... | {"split": "train", "index": 18230} |
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: Oliver, David, Scarlett, Ella, and Samuel. In Oliver's words: \"it is not the case that ((Scarlett is a devil and David is an angel and David is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 453, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"and\", [\"lying\", 1], [\"lying\", 4]]]], [\"telling-truth\", 4], [... | {"split": "train", "index": 18231} |
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, Ella, James, Grace, and Aurora. As Isabella put it, \"Ella is a hero\". Ella stated, \"(if (James is a villain or Grace is a hero) then (Au... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 454, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"ly... | {"split": "train", "index": 18232} |
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, Isabella, James, Daniel, and Scarlett. According to Elizabeth, \"Elizabeth is a hero if and only if (it is not the case that (James is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 455, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"not\", [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying... | {"split": "train", "index": 18233} |
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, Sebastian, Charlotte, Aria, and Owen. As Liam put it, \"Owen is a sinner\". Sebastian asserted: \"if (Liam is a saint if and only if (if Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 456, \"statements\": [[\"lying\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 3], [\"... | {"split": "train", "index": 18234} |
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: Jackson, David, Matthew, Owen, and Zoey. Jackson stated, \"((Matthew is a villain and Matthew is a hero) and (Matthew is a hero if and only if Matthe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 457, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"... | {"split": "train", "index": 18235} |
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, Liam, Logan, Mason, and Grace. As Riley put it, \"it is not the case that (Mason is a sinner and (if Mason is a sinner then Logan is a saint) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 458, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"telling-truth\", 3], [... | {"split": "train", "index": 18236} |
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: Mason, Charlotte, Isabella, Grace, and Ella. Mason told you that it is not the case that ((Charlotte is a sinner and Charlotte is a saint) and (if Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\... | {"split": "train", "index": 18237} |
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: Sofia, Aiden, Jacob, Isabella, and Luke. In a statement by Sofia: \"if ((Jacob is a hero) or (Sofia is a hero and Jacob is a hero and Luke is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 460, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\", ... | {"split": "train", "index": 18238} |
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: Olivia, Noah, Ava, Lily, and Owen. According to Olivia, \"(if (Lily is a villain and Noah is a villain) then Owen is a villain) and (it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 461, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"lying\", 4]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", ... | {"split": "train", "index": 18239} |
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: Owen, Elizabeth, Samuel, Oliver, and Jacob. Owen expressed that Oliver is a knave. \"it is not the case that ((Owen is a knave and Elizabeth is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 462, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 18240} |
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: Harper, Emma, Aurora, Jacob, and Lucas. \"((if Aurora is a devil then Emma is an angel) if and only if Lucas is an angel) or ((Lucas is a devil) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 463, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]]], [\"telling-truth\", 3], [\"or\", [\"... | {"split": "train", "index": 18241} |
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, Matthew, Aiden, Scarlett, and Grace. \"Aiden is a knight\" - Avery. Matthew stated, \"Grace is a knight or ((Scarlett is a knight and Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 464, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying... | {"split": "train", "index": 18242} |
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: Abigail, Emily, Grace, Evelyn, and Sebastian. Abigail asserted: \"(Emily is a sage and (Grace is a fool if and only if Sebastian is a sage) and (Sebastian ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 465, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", ... | {"split": "train", "index": 18243} |
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: Victoria, Charlotte, Emily, Noah, and William. In a statement by Victoria: \"it is not the case that (it is not the case that (Emily is a knight or N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 466, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]]]], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]], [\"and\", [... | {"split": "train", "index": 18244} |
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, James, Sophia, Ethan, and Charlotte. Jackson was heard saying, \"((Sophia is an angel) if and only if Sophia is an angel) and ((Sophia is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 467, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth... | {"split": "train", "index": 18245} |
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, Avery, Victoria, Alexander, and William. As Lily put it, \"Avery is a knight\". \"((Victoria is a knave) if and only if William is a knight) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 468, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3], [\"... | {"split": "train", "index": 18246} |
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, Jack, Harper, Logan, and Mia. \"(it is not the case that (Logan is an altruist)) if and only if ((Harper is an egoist and Mia is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 469, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\... | {"split": "train", "index": 18247} |
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: Matthew, Amelia, Lucas, David, and Harper. \"if ((David is a devil if and only if Amelia is an angel) or (Lucas is an angel or Amelia is an angel)) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 470, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"lying\", 2]... | {"split": "train", "index": 18248} |
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: Michael, Aiden, Matthew, Jack, and Liam. \"((Matthew is an angel or Aiden is an angel) if and only if (Jack is a devil)) and ((Aiden is an angel) or (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 471, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\... | {"split": "train", "index": 18249} |
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, Aurora, Ava, Samuel, and Lucas. Isabella expressed that ((Lucas is a pioneer or Aurora is a laggard or Ava is a pioneer) and (if Auro... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 472, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 18250} |
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: James, Logan, Zoey, Owen, and Emma. James remarked, \"(if (Owen is a villain and Logan is a hero and Emma is a hero and Owen is a hero) then (if Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 473, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], ... | {"split": "train", "index": 18251} |
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: Scarlett, Daniel, Henry, Grace, and Sofia. Scarlett expressed that it is not the case that (Grace is a knight and (Sofia is a knave) and (Sofia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 474, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 18252} |
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: Riley, Abigail, Olivia, Ethan, and Lily. As Riley put it, \"Lily is a devil\". \"if ((Riley is an angel if and only if Lily is a devil) or (Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 475, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]... | {"split": "train", "index": 18253} |
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: Victoria, Mia, Riley, Aurora, and Avery. In a statement by Victoria: \"Mia is a knave\". According to Mia, \"it is not the case that (it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 476, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"not\", [\"not\", [\"not\", [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"lying\", 3], [\"<=>\"... | {"split": "train", "index": 18254} |
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: Emma, Avery, Amelia, Lily, and Evelyn. According to Emma, \"Amelia is a laggard\". As Avery put it, \"((if Evelyn is a pioneer then Lily is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 477, \"statements\": [[\"lying\", 2], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\"... | {"split": "train", "index": 18255} |
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: Mason, Jacob, Matthew, Victoria, and Evelyn. Mason commented, \"Evelyn is a knight\". \"((Matthew is a knight or Mason is a knight) and Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 478, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-t... | {"split": "train", "index": 18256} |
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, Jack, Joseph, David, and Zoey. As Ethan put it, \"it is not the case that ((David is a devil if and only if Joseph is a devil) or (Zoey is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], ... | {"split": "train", "index": 18257} |
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: Evelyn, Zoey, Lucas, Charlotte, and Scarlett. \"if ((Zoey is a sage or Scarlett is a fool) if and only if (Lucas is a sage)) then ((Lucas is a sage and Cha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 480, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", ... | {"split": "train", "index": 18258} |
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: Olivia, Harper, Aurora, Ava, and Emily. In Olivia's words: \"if (Aurora is a saint and Aurora is a sinner and (Olivia is a saint and Emily is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 481, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 3]], [... | {"split": "train", "index": 18259} |
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: Mason, Isabella, Evelyn, Lucas, and Charlotte. In a statement by Mason: \"if (if (if Mason is a saint then Isabella is a saint) then (if Lucas is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 482, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"... | {"split": "train", "index": 18260} |
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, Daniel, Henry, Ava, and Jackson. \"(if (if Daniel is an angel then Ava is a devil) then (Daniel is an angel if and only if Henry is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 483, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\... | {"split": "train", "index": 18261} |
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, Elizabeth, Emily, Benjamin, and Owen. \"it is not the case that ((Elizabeth is a laggard) and (Emily is a laggard)),\" Harper mentioned... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 484, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]]], [\"not\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\"... | {"split": "train", "index": 18262} |
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: Chloe, Ethan, Logan, Amelia, and Olivia. Chloe told you that (if Chloe is an altruist then (Amelia is an altruist or Ethan is an altruist or Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 485, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [... | {"split": "train", "index": 18263} |
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: Chloe, Matthew, Logan, Michael, and Luke. As Chloe put it, \"if (it is not the case that (Logan is an altruist and Luke is an altruist)) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 486, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], ... | {"split": "train", "index": 18264} |
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, Daniel, Zoey, Abigail, and William. Aiden told you that if (if Daniel is an altruist then (Aiden is an altruist and William is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 487, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]]]], [\"->\", [\"->\", [\"->\", [\"l... | {"split": "train", "index": 18265} |
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: Sophia, Grace, Jackson, Emily, and Matthew. \"Grace is a knight,\" Sophia claimed. Grace noted, \"((Sophia is a knight) if and only if (Grace is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 488, \"statements\": [[\"not\", [\"lying\", 1]], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 0]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]]], ... | {"split": "train", "index": 18266} |
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: Daniel, Michael, Alexander, Zoey, and Olivia. In Daniel's words: \"if ((if Michael is a saint then Alexander is a sinner) and (Michael is a sinner) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 489, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 1]], [\"->\"... | {"split": "train", "index": 18267} |
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: Lily, Charlotte, Evelyn, Aria, and Mia. In a statement by Lily: \"Mia is a hero\". \"Evelyn is a hero,\" Charlotte declared. Evelyn expressed that ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 490, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]... | {"split": "train", "index": 18268} |
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, Michael, Sebastian, Aurora, and Riley. Zoey was heard saying, \"((if Riley is a sinner then Sebastian is a sinner) if and only if (Michael is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 491, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 4]], [\"<=>\", [\"->\", [\"->\", [\"telling-trut... | {"split": "train", "index": 18269} |
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, Lucas, Jack, Ethan, and Ava. In a statement by Liam: \"it is not the case that (it is not the case that (Ethan is an angel or Lucas is a devil or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 492, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 2]]]], [\"and\", [\"lying\", 2], [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\... | {"split": "train", "index": 18270} |
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, Aria, Elizabeth, Riley, and Emily. Jackson said that (it is not the case that (Riley is a devil and Emily is an angel)) or ((Emily is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 493, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]]... | {"split": "train", "index": 18271} |
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: Sofia, Lucas, Amelia, Emma, and Jacob. \"if ((Amelia is a hero or Emma is a hero or Jacob is a hero or Lucas is a villain) and (Lucas is a villain if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 494, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\... | {"split": "train", "index": 18272} |
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: Mia, Olivia, Liam, Lily, and David. Mia commented, \"((Mia is an altruist if and only if Liam is an egoist) or (Liam is an egoist) or Lily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 495, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\... | {"split": "train", "index": 18273} |
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: Aurora, Alexander, Harper, Sophia, and Avery. Aurora was heard saying, \"it is not the case that ((if Alexander is a sage then Harper is a sage) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 496, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]]], [\"lying\", 3], [\"<=>\", [\"lying\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 18274} |
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: Sofia, Aria, Olivia, Noah, and Daniel. Sofia remarked, \"((if Sofia is a pioneer then Noah is a pioneer) if and only if (if Aria is a pioneer t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 497, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telli... | {"split": "train", "index": 18275} |
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: Lily, Sebastian, Alexander, Noah, and Jackson. \"it is not the case that (it is not the case that (if Sebastian is a pioneer then Noah is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 498, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"lying\", 4], [... | {"split": "train", "index": 18276} |
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, Aria, Alexander, Penelope, and Grace. \"Alexander is an angel and ((Penelope is a devil and Alexander is a devil) or (Grace is a devil if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 499, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"t... | {"split": "train", "index": 18277} |
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, Logan, Ava, Lucas, and Jackson. In Daniel's words: \"it is not the case that ((Jackson is an egoist if and only if Ava is an egoist) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 500, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 1]]]], [\"not\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-tr... | {"split": "train", "index": 18278} |
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: Sofia, Evelyn, Jackson, Samuel, and Logan. Sofia expressed that if (it is not the case that (Jackson is a fool or Logan is a fool or Jackson is a sage)) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 501, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", ... | {"split": "train", "index": 18279} |
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: Isabella, Emma, Ethan, Chloe, and Lily. In Isabella's words: \"(Emma is a fool and Lily is a sage and (Emma is a fool)) if and only if Chloe is a sage\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 502, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 3]], [\"lying\", 4], [\"<=>\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]... | {"split": "train", "index": 18280} |
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: Aiden, Aurora, Harper, Joseph, and Alexander. Aiden said that Aurora is a sinner or ((Harper is a saint or Alexander is a sinner or Aurora is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 503, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 1]], [\"lying\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 4]... | {"split": "train", "index": 18281} |
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: Logan, Michael, Victoria, Mia, and Evelyn. In Logan's words: \"((Mia is an altruist or Michael is an egoist) and (if Logan is an altruist then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 504, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3... | {"split": "train", "index": 18282} |
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: Chloe, Liam, David, Evelyn, and Logan. \"it is not the case that (Liam is a villain if and only if Logan is a hero),\" Chloe claimed. In a statement ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 505, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"not\", ... | {"split": "train", "index": 18283} |
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, Amelia, Mia, Olivia, and Riley. Alexander told you that Alexander is a hero. Amelia noted, \"((if Olivia is a hero then Olivia is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 506, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [... | {"split": "train", "index": 18284} |
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, Ava, Emma, Avery, and Chloe. Charlotte commented, \"((Avery is a knight if and only if Avery is a knave) or (Chloe is a knight and Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 507, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], ... | {"split": "train", "index": 18285} |
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: Owen, Jack, Victoria, Evelyn, and James. Owen noted, \"((Evelyn is a devil) if and only if (Jack is a devil and Evelyn is a devil)) or ((Victoria is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 508, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 18286} |
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: James, Ethan, Emma, Riley, and Isabella. James told you that if Riley is a sage then (if (Emma is a fool or Ethan is a sage) then (if Emma is a fool then E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 509, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 18287} |
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, Aria, Amelia, Oliver, and Alexander. Samuel noted, \"((Oliver is a devil) and (Samuel is an angel or Aria is a devil or Oliver is an angel or A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 510, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\",... | {"split": "train", "index": 18288} |
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, Henry, Samuel, Penelope, and Chloe. Jack remarked, \"Chloe is a saint\". Henry said, \"(it is not the case that (Samuel is a saint and Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 511, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2], [... | {"split": "train", "index": 18289} |
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, Emily, Alexander, Mia, and Olivia. Elizabeth remarked, \"((Emily is a pioneer if and only if Alexander is a laggard) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 512, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 3], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-tru... | {"split": "train", "index": 18290} |
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: William, Ethan, Emma, Henry, and Chloe. As William put it, \"(if (Ethan is a sinner) then (Chloe is a sinner if and only if William is a saint)) or E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 513, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [... | {"split": "train", "index": 18291} |
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, Victoria, Jacob, Sofia, and Charlotte. Alexander expressed that (if (Charlotte is a knight and Sofia is a knave and Sofia is a knight) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 514, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"lying\", 4]], [\"or\", [\"not\", [\"<=>\", [\"ly... | {"split": "train", "index": 18292} |
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: Joseph, Owen, Jackson, Samuel, and Noah. Joseph was heard saying, \"if Joseph is a pioneer then ((Joseph is a pioneer if and only if Noah is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 515, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telli... | {"split": "train", "index": 18293} |
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, Penelope, David, Sophia, and Jackson. As Amelia put it, \"((Jackson is a sage or Penelope is a fool or Amelia is a sage) or Penelope is a sage) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 516, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"or\", [\"and\", [\"or\", [\"lying\", 4], [\"t... | {"split": "train", "index": 18294} |
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: Sofia, Benjamin, Jack, Olivia, and Noah. Sofia said that Sofia is a saint if and only if ((Benjamin is a saint if and only if Jack is a saint) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 517, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 1... | {"split": "train", "index": 18295} |
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, Daniel, Abigail, Isabella, and Riley. Logan commented, \"(Riley is a pioneer if and only if (Abigail is a laggard if and only if Riley i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 518, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"telling-tr... | {"split": "train", "index": 18296} |
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: Penelope, Jacob, Matthew, Emma, and Oliver. Penelope asserted: \"(it is not the case that (Oliver is a sinner or Matthew is a saint or Emma is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 519, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\... | {"split": "train", "index": 18297} |
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: Michael, Lucas, Emma, Henry, and Joseph. \"((Lucas is a laggard or Emma is a laggard or Henry is a pioneer or Michael is a pioneer) and (Emma i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 520, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"no... | {"split": "train", "index": 18298} |
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, Owen, Lucas, Sofia, and Abigail. In a statement by Victoria: \"(if (Abigail is a saint and Sofia is a sinner and Lucas is a sinner) then Ow... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 521, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 18299} |
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