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: Riley, Chloe, Matthew, Zoey, and Owen. \"(Owen is a devil and Matthew is a devil and Zoey is a devil) or (Chloe is a devil or Owen is a devil or Owen i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1710, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"not\",... | {"split": "train", "index": 10600} |
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, Aria, Jack, David, and Amelia. \"(if Aria is a devil then Matthew is an angel) or (Jack is a devil and Jack is an angel) or Amelia is a devil,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1711, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 4]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\"... | {"split": "train", "index": 10601} |
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: Evelyn, Noah, Ava, Joseph, and Ella. Evelyn told you that if (Joseph is a saint if and only if Ava is a saint) then Noah is a saint. \"it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1712, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 2... | {"split": "train", "index": 10602} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Riley, Elizabeth, Jack, Avery, and Victoria. Riley stated, \"Victoria is a fool\". Elizabeth told you that (if Avery is a sage then Jack is a sage) or (Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1713, \"statements\": [[\"lying\", 4], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"ly... | {"split": "train", "index": 10603} |
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, Aiden, Isabella, Michael, and Henry. Harper asserted: \"Aiden is a laggard and (if Michael is a laggard then Henry is a pioneer) and (I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1714, \"statements\": [[\"and\", [\"lying\", 1], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"tellin... | {"split": "train", "index": 10604} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Jack, Lily, Benjamin, and William. Aurora stated, \"it is not the case that (William is an altruist and Jack is an egoist and William i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1715, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"lying\", 0], [\"o... | {"split": "train", "index": 10605} |
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, Mia, James, Abigail, and Oliver. As Scarlett put it, \"if (James is an angel and Mia is an angel and Oliver is a devil) then (Abigail is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1716, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 0]]]... | {"split": "train", "index": 10606} |
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: Evelyn, Sofia, Charlotte, Lucas, and Luke. Evelyn noted, \"(Evelyn is a hero or Sofia is a hero or Luke is a villain) or (Lucas is a villain if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1717, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"tellin... | {"split": "train", "index": 10607} |
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: Benjamin, Evelyn, Sebastian, Ethan, and Aiden. Benjamin said, \"it is not the case that (if Sebastian is a fool then Ethan is a sage).\" Evelyn told you th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1718, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"lyin... | {"split": "train", "index": 10608} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Joseph, Henry, Benjamin, James, and Jack. Joseph commented, \"if Jack is a fool then (Jack is a fool and Henry is a fool)\". Henry noted, \"if (James is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1719, \"statements\": [[\"->\", [\"lying\", 4], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>... | {"split": "train", "index": 10609} |
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, Ava, Abigail, Charlotte, and Sebastian. In Lucas's words: \"Abigail is an egoist\". Ava was heard saying, \"Charlotte is an altruist\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1720, \"statements\": [[\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\... | {"split": "train", "index": 10610} |
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, Logan, Isabella, Charlotte, and Oliver. Avery was heard saying, \"Charlotte is a hero if and only if (Charlotte is a villain)\". In a statemen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1721, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\... | {"split": "train", "index": 10611} |
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, Aurora, Jacob, Noah, and Isabella. According to Lucas, \"(if Jacob is a hero then Noah is a villain) if and only if (Aurora is a villain and J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1722, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"telling-truth\", 2], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"not\", [\"a... | {"split": "train", "index": 10612} |
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: David, Ava, Liam, Abigail, and Michael. \"if (Liam is a hero or Ava is a villain) then (if Liam is a hero then David is a hero),\" David claimed. As ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1723, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 4]], [\"... | {"split": "train", "index": 10613} |
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: Olivia, Sophia, Noah, Luke, and Matthew. In a statement by Olivia: \"(Noah is a knave or Matthew is a knight) if and only if (if Matthew is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1724, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"lying\", 4], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [... | {"split": "train", "index": 10614} |
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, Ava, Sebastian, Grace, and Elizabeth. \"if (Elizabeth is a villain if and only if Elizabeth is a hero) then (Ava is a hero),\" Isabella men... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1725, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"lying\", 3], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\... | {"split": "train", "index": 10615} |
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, Scarlett, Michael, David, and Owen. Chloe commented, \"David is a villain and (David is a hero and Owen is a villain)\". Scarlett was heard sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1726, \"statements\": [[\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 2], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"or\... | {"split": "train", "index": 10616} |
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, Evelyn, Avery, Lily, and Benjamin. Aurora said that it is not the case that (Evelyn is a villain or Lily is a villain or Benjamin is a hero).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1727, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\... | {"split": "train", "index": 10617} |
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, Evelyn, Amelia, Sophia, and Aiden. \"if (Aiden is a fool) then (Sophia is a sage if and only if Olivia is a sage),\" Olivia declared. Evelyn was he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1728, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 10618} |
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, Ella, Mia, James, and Liam. In Benjamin's words: \"Mia is a laggard\". Ella was heard saying, \"Benjamin is a pioneer or Liam is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1729, \"statements\": [[\"lying\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [... | {"split": "train", "index": 10619} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Amelia, Penelope, Isabella, and Lucas. Abigail stated, \"it is not the case that (Penelope is a knave if and only if Lucas is a knight)\". \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1730, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\",... | {"split": "train", "index": 10620} |
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, Michael, Samuel, Grace, and Luke. \"it is not the case that (if Samuel is an angel then Grace is a devil),\" Emily claimed. Michael asserted: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1731, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 0]], [\"or\"... | {"split": "train", "index": 10621} |
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: Mason, Henry, Ella, Sofia, and Sebastian. Mason asserted: \"(Sebastian is a villain if and only if Ella is a hero) or Ella is a villain or (if Ella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1732, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 2], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-tr... | {"split": "train", "index": 10622} |
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, Jackson, Ava, Ethan, and Victoria. Alexander asserted: \"Ethan is a hero\". \"Ethan is a villain\" - Jackson. In a statement by Ava: \"Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1733, \"statements\": [[\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 0], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"ly... | {"split": "train", "index": 10623} |
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: Samuel, Chloe, Avery, Zoey, and Elizabeth. According to Samuel, \"(Chloe is a laggard and Elizabeth is a pioneer and Elizabeth is a laggard) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1734, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"... | {"split": "train", "index": 10624} |
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, Chloe, Ava, James, and Jack. \"(Jack is a saint or James is a sinner) or (James is a saint if and only if Ava is a sinner),\" Riley mentioned.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1735, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"lying\", 0], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\",... | {"split": "train", "index": 10625} |
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: Henry, Joseph, Sebastian, Jackson, and Emma. As Henry put it, \"(if Henry is a sage then Joseph is a fool) if and only if Sebastian is a fool\". According ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1736, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"lying\", 2]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 4], [\"or\", [\"lying\", 3], [\"lying\", 4], ... | {"split": "train", "index": 10626} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Emma, Liam, Amelia, and Charlotte. Aiden was heard saying, \"(Amelia is a knight if and only if Amelia is a knave) and (if Emma is a knight th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1737, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"telling-truth\", 2], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"lying... | {"split": "train", "index": 10627} |
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: Michael, Isabella, Sofia, Luke, and Avery. Michael noted, \"if (Sofia is a sinner if and only if Avery is a saint) then (Sofia is a sinner if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1738, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 1], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]],... | {"split": "train", "index": 10628} |
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, Victoria, Mia, Zoey, and Lily. According to Sofia, \"it is not the case that (Mia is a sage and Lily is a sage)\". \"(Zoey is a fool or Mia is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1739, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]... | {"split": "train", "index": 10629} |
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: David, Noah, Amelia, Victoria, and Olivia. David stated, \"(Victoria is an egoist and Noah is an altruist) and (if Olivia is an altruist then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1740, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 4], [\"or\", [\"lying\", 1], [\"<=>\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 10630} |
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, Matthew, Jacob, Ava, and Elizabeth. Sophia said that (Elizabeth is a knight or Jacob is a knave or Elizabeth is a knave) if and only if (Matt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1741, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"lying\", 3], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-trut... | {"split": "train", "index": 10631} |
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, Aurora, William, Jacob, and Scarlett. Victoria noted, \"(Aurora is a saint if and only if William is a saint) and (William is a saint and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1742, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\... | {"split": "train", "index": 10632} |
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, Emma, Michael, Benjamin, and Matthew. Logan said, \"Michael is a pioneer.\" Emma said, \"it is not the case that (Matthew is a laggard).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1743, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]... | {"split": "train", "index": 10633} |
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, James, Chloe, Aria, and Benjamin. Harper expressed that Aria is a fool. \"Aria is a fool,\" James mentioned. Chloe remarked, \"(if Harper is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1744, \"statements\": [[\"lying\", 3], [\"lying\", 3], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"lying\", 0], [\"telli... | {"split": "train", "index": 10634} |
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, Ethan, Joseph, Logan, and Olivia. Samuel said, \"Samuel is an angel or (Ethan is a devil) or (Ethan is an angel).\" Ethan stated, \"it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1745, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"lying\", 0], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"tellin... | {"split": "train", "index": 10635} |
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: Scarlett, Emily, Lily, Zoey, and Henry. Scarlett said, \"Lily is an altruist.\" \"it is not the case that (Emily is an altruist or Lily is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1746, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]], [... | {"split": "train", "index": 10636} |
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: Luke, Abigail, James, Sofia, and Penelope. Luke remarked, \"(Luke is a hero or Abigail is a villain) if and only if Sofia is a hero\". Abigail expres... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1747, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 3]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"lyi... | {"split": "train", "index": 10637} |
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: Joseph, Mia, Riley, Aurora, and Jacob. \"(Mia is a hero and Aurora is a villain and Joseph is a hero) or (if Aurora is a villain then Riley is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1748, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 2], ... | {"split": "train", "index": 10638} |
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, James, Scarlett, Sebastian, and Henry. Sofia noted, \"(if James is an altruist then Sebastian is an altruist) if and only if (Henry is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1749, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-tru... | {"split": "train", "index": 10639} |
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: Charlotte, Aurora, Michael, Abigail, and Ava. As Charlotte put it, \"if (Aurora is a fool if and only if Abigail is a fool) then (Ava is a sage)\". Aurora ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1750, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]], [\"... | {"split": "train", "index": 10640} |
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: Evelyn, Jackson, Logan, Lucas, and Ella. Evelyn said that Logan is a knave. Jackson remarked, \"it is not the case that (if Lucas is a knave then Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1751, \"statements\": [[\"lying\", 2], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"telling-truth\", 4... | {"split": "train", "index": 10641} |
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: Ava, Grace, Aurora, William, and Jack. In Ava's words: \"(Grace is a sage and Aurora is a fool) if and only if (if Aurora is a sage then Grace is a fool)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1752, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"lying\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 4]], [\"and\", [\"... | {"split": "train", "index": 10642} |
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: Aurora, Mason, Sebastian, Aiden, and Scarlett. As Aurora put it, \"(if Sebastian is a devil then Mason is an angel) or (Mason is an angel or Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1753, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telli... | {"split": "train", "index": 10643} |
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: Sebastian, Ella, William, Riley, and Aurora. Sebastian said that (Aurora is a villain) or Ella is a hero or (William is a hero). \"it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1754, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 1], [\"not\", [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lying\", 1], [\"and\", [\"and\", [\... | {"split": "train", "index": 10644} |
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, Charlotte, Lucas, Sofia, and Mia. Aurora said, \"(Charlotte is a sage) and (Lucas is a fool and Charlotte is a fool) and Mia is a fool.\" Charlotte... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1755, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"lying\", 4]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"te... | {"split": "train", "index": 10645} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Charlotte, Olivia, Abigail, Noah, and Joseph. Charlotte told you that (Charlotte is a hero and Abigail is a villain) or (if Joseph is a hero then Noa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1756, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"lyi... | {"split": "train", "index": 10646} |
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: Grace, Michael, Logan, Abigail, and Elizabeth. Grace stated, \"if (Logan is an angel) then (Grace is an angel and Abigail is a devil)\". Michael stated... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1757, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-... | {"split": "train", "index": 10647} |
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, Oliver, Joseph, Ella, and Owen. Emma told you that if Oliver is a pioneer then (Oliver is a laggard and Owen is a pioneer). Oliver was he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1758, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 10648} |
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: William, Liam, Penelope, Zoey, and Aurora. William was heard saying, \"(Zoey is a hero or William is a hero or Aurora is a villain) and (Zoey is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1759, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"lying\", 1... | {"split": "train", "index": 10649} |
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, Mia, Lily, Isabella, and Matthew. Daniel told you that Matthew is a fool and (Mia is a fool or Matthew is a sage) and (Lily is a sage and Lily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1760, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"ly... | {"split": "train", "index": 10650} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Olivia, Riley, Lily, Alexander, and Aiden. Olivia remarked, \"Lily is a laggard\". \"(if Alexander is a laggard then Olivia is a pioneer) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1761, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 1]... | {"split": "train", "index": 10651} |
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: Noah, Evelyn, Owen, Mason, and Grace. Noah told you that Grace is a knight. Evelyn said that it is not the case that (Evelyn is a knight and Noah is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1762, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"lying\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\... | {"split": "train", "index": 10652} |
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, Logan, Oliver, Owen, and James. \"Oliver is an angel or (Oliver is an angel or Owen is a devil or Oliver is a devil),\" Avery declared. Logan re... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1763, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"->\", ... | {"split": "train", "index": 10653} |
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: Chloe, Penelope, David, Sofia, and Jackson. \"(Sofia is a knight and David is a knight and Jackson is a knave) if and only if (Chloe is a knight or S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1764, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 0]], [\"->\",... | {"split": "train", "index": 10654} |
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: David, Ethan, Jack, Isabella, and Penelope. David expressed that Penelope is a sage. Ethan was heard saying, \"David is a fool or Jack is a sage\". Accordi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1765, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\",... | {"split": "train", "index": 10655} |
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: Liam, Zoey, David, Sofia, and Henry. \"(Sofia is a pioneer or David is a pioneer) or (if Liam is a pioneer then Sofia is a pioneer) or (Henry i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1766, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 2], [\"and\",... | {"split": "train", "index": 10656} |
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: Evelyn, Elizabeth, Olivia, Lucas, and Aiden. In a statement by Evelyn: \"(Lucas is a knave or Lucas is a knight) if and only if (Lucas is a knave)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1767, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 10657} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Evelyn, Lucas, Aiden, and Jack. \"Sebastian is a knight or (Sebastian is a knight or Evelyn is a knight) or Evelyn is a knave,\" Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1768, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 1]], [\"->\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"... | {"split": "train", "index": 10658} |
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: Scarlett, Jackson, Benjamin, Mason, and Amelia. Scarlett said, \"Benjamin is an egoist.\" Jackson expressed that Amelia is an egoist. Benjamin ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1769, \"statements\": [[\"lying\", 2], [\"lying\", 4], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 1], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lyin... | {"split": "train", "index": 10659} |
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, Matthew, Aiden, Isabella, and Evelyn. \"Evelyn is a laggard,\" Mia mentioned. \"if (Aiden is a laggard and Isabella is a pioneer) then (Is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1770, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"->\", [\"te... | {"split": "train", "index": 10660} |
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, Jack, Owen, Elizabeth, and Harper. Sophia told you that Harper is an angel. Jack asserted: \"(Elizabeth is an angel) or (Sophia is a devil)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1771, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]... | {"split": "train", "index": 10661} |
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, Matthew, Alexander, Jacob, and Abigail. \"(Alexander is a devil and Matthew is a devil) and (Jackson is an angel if and only if Matthew is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1772, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"or\"... | {"split": "train", "index": 10662} |
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, Joseph, Olivia, Sophia, and Ava. Owen asserted: \"Olivia is an angel and (Owen is an angel and Joseph is an angel) and (Ava is a devil if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1773, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"lying\", 4], [\"telling-truth\", 1], [\"not\", [\"telling-truth... | {"split": "train", "index": 10663} |
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: Elizabeth, Ella, Michael, Victoria, and Mason. Elizabeth commented, \"Michael is a devil if and only if (if Michael is an angel then Mason is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1774, \"statements\": [[\"<=>\", [\"lying\", 2], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"lying... | {"split": "train", "index": 10664} |
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: Henry, Joseph, Ava, Oliver, and Noah. In Henry's words: \"(if Oliver is a sage then Ava is a fool) or (Joseph is a fool if and only if Ava is a sage) or No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1775, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"->\", [\"not... | {"split": "train", "index": 10665} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mia, Lucas, Mason, Matthew, and Liam. In Mia's words: \"Liam is a fool and (if Liam is a sage then Mason is a fool)\". \"Mia is a fool\" - Lucas. Mason sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1776, \"statements\": [[\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"telling-truth\", 2], [\"or... | {"split": "train", "index": 10666} |
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: Owen, Lily, Harper, Penelope, and Ella. Owen asserted: \"(if Penelope is a sage then Penelope is a fool) and Lily is a fool and (Penelope is a sage and Owe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1777, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-tr... | {"split": "train", "index": 10667} |
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, Sofia, Aria, Liam, and Isabella. \"(Ethan is a hero if and only if Sofia is a villain) and Ethan is a hero and (Isabella is a hero),\" Ethan c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1778, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 0], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [... | {"split": "train", "index": 10668} |
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, Aria, Grace, Emily, and Elizabeth. Avery said that if (Elizabeth is a sage or Avery is a sage) then (Grace is a fool and Elizabeth is a fool). Aria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1779, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"o... | {"split": "train", "index": 10669} |
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, Daniel, Jack, Scarlett, and Henry. Ethan said, \"(if Jack is a devil then Jack is an angel) or (Ethan is an angel and Scarlett is an angel and J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1780, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"not\", [\"and\", [\"telling-truth... | {"split": "train", "index": 10670} |
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: Jacob, Noah, Lucas, Mia, and Abigail. Jacob remarked, \"Jacob is an altruist\". \"(Mia is an egoist or Abigail is an egoist) if and only if (Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1781, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=... | {"split": "train", "index": 10671} |
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: Mason, Benjamin, Sebastian, Jack, and David. \"if (Benjamin is a villain if and only if David is a villain) then (if Jack is a villain then David is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1782, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 10672} |
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: James, Abigail, Liam, Sofia, and Benjamin. James said that (Liam is an altruist if and only if Abigail is an altruist) if and only if (Benjamin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1783, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"l... | {"split": "train", "index": 10673} |
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: Ella, Chloe, Noah, Sebastian, and Mia. Ella stated, \"it is not the case that (if Chloe is an angel then Mia is a devil)\". According to Chloe, \"it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1784, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-... | {"split": "train", "index": 10674} |
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, Ethan, Henry, Jack, and Liam. In Elizabeth's words: \"(Henry is a laggard) or (Jack is a laggard) or Henry is a laggard\". \"(Liam i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1785, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"lying\", 2]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0... | {"split": "train", "index": 10675} |
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, Zoey, William, Sofia, and Emily. Jack remarked, \"it is not the case that (Jack is a hero if and only if Zoey is a villain)\". Zoey was heard s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1786, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 0]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-... | {"split": "train", "index": 10676} |
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: Avery, Grace, Mia, Aurora, and Sophia. \"it is not the case that (if Aurora is a sinner then Sophia is a sinner),\" Avery mentioned. According to Gra... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1787, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"lying\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"an... | {"split": "train", "index": 10677} |
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: Benjamin, Aria, Emily, Harper, and Daniel. In a statement by Benjamin: \"(Daniel is a fool) if and only if (Aria is a fool and Emily is a sage)\". \"(Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1788, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\... | {"split": "train", "index": 10678} |
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: Alexander, Ethan, Noah, James, and Amelia. \"(James is a laggard or Amelia is a laggard) or (if James is a laggard then Noah is a laggard) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1789, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"or\", [\"lying\", 0], [\... | {"split": "train", "index": 10679} |
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, Sofia, Matthew, Benjamin, and Sophia. Lily remarked, \"Matthew is a sage\". \"(Sofia is a sage or Benjamin is a fool) if and only if Lily is a fool,\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1790, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 0]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"tellin... | {"split": "train", "index": 10680} |
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: Riley, Ava, Benjamin, Charlotte, and Oliver. In a statement by Riley: \"if Riley is a knight then (if Ava is a knave then Benjamin is a knight)\". Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1791, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], ... | {"split": "train", "index": 10681} |
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: Matthew, Jackson, Aurora, Grace, and Noah. Matthew expressed that (if Aurora is a sage then Aurora is a fool) if and only if Grace is a sage. According to ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1792, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 3]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [... | {"split": "train", "index": 10682} |
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, Amelia, Ethan, Luke, and Penelope. In a statement by Olivia: \"Ethan is a sinner\". According to Amelia, \"(Luke is a sinner) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1793, \"statements\": [[\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 10683} |
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: Matthew, Olivia, Lily, Daniel, and Emma. Matthew said that Emma is a villain. \"it is not the case that (Emma is a hero and Olivia is a hero),\" Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1794, \"statements\": [[\"lying\", 4], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"t... | {"split": "train", "index": 10684} |
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, William, Alexander, Lily, and Oliver. Logan said, \"Oliver is an egoist.\" William said, \"it is not the case that (Logan is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1795, \"statements\": [[\"lying\", 4], [\"not\", [\"not\", [\"lying\", 0]]], [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"telli... | {"split": "train", "index": 10685} |
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: William, Alexander, Chloe, Samuel, and Luke. William said, \"(Alexander is a hero) or (Luke is a hero and Luke is a villain) or (Luke is a hero and C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1796, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-tr... | {"split": "train", "index": 10686} |
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: Aurora, Matthew, Jacob, Liam, and Daniel. Aurora was heard saying, \"Jacob is a devil\". Matthew remarked, \"it is not the case that (Aurora is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1797, \"statements\": [[\"lying\", 2], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 10687} |
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, Henry, Sebastian, Evelyn, and Penelope. \"Penelope is a saint or Henry is a sinner or (Sebastian is a saint and Daniel is a saint and Evelyn ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1798, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-tr... | {"split": "train", "index": 10688} |
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: Luke, Isabella, Zoey, Aria, and Abigail. Luke stated, \"if (Aria is a sinner and Isabella is a saint) then (Isabella is a saint or Aria is a sinner)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1799, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"... | {"split": "train", "index": 10689} |
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: Aria, Jackson, Evelyn, Mia, and Liam. According to Aria, \"Evelyn is a sage\". Jackson remarked, \"it is not the case that (Aria is a sage if and only if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1800, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"lying\", 4]], [\"->\", [\"and\... | {"split": "train", "index": 10690} |
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, Emma, Ethan, Emily, and Isabella. Daniel commented, \"Isabella is an altruist if and only if (Isabella is an egoist)\". In a statement ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1801, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\",... | {"split": "train", "index": 10691} |
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, Amelia, Jackson, Mia, and Henry. \"Amelia is a villain,\" Sophia declared. Amelia noted, \"(Mia is a villain) if and only if (Henry is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1802, \"statements\": [[\"lying\", 1], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 1], [... | {"split": "train", "index": 10692} |
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: Lucas, Lily, Charlotte, Amelia, and Henry. Lucas asserted: \"it is not the case that (Lily is a pioneer or Amelia is a laggard or Amelia is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1803, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 10693} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, Jackson, Michael, Riley, and Logan. Olivia noted, \"(if Riley is an altruist then Olivia is an altruist) if and only if (Riley is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1804, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"tellin... | {"split": "train", "index": 10694} |
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, Aurora, Samuel, Sophia, and Amelia. \"(Sophia is a hero if and only if Aurora is a hero) if and only if (Amelia is a hero),\" Owen claimed. \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1805, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"or\", [\"telling-tr... | {"split": "train", "index": 10695} |
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, Mason, Joseph, Harper, and Ava. Scarlett commented, \"Harper is a villain\". \"Harper is a villain if and only if Ava is a hero,\" Mason cl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1806, \"statements\": [[\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [... | {"split": "train", "index": 10696} |
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: Harper, Emma, Jack, Isabella, and Victoria. Harper stated, \"if (Harper is a knight and Victoria is a knave and Emma is a knave) then (Isabella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1807, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"lying\", 4], [\"and\", [\"or\", [\"... | {"split": "train", "index": 10697} |
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, Mason, Emma, Luke, and David. Sophia stated, \"it is not the case that (David is a hero or Luke is a hero or Luke is a villain)\". Mason stat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1808, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\... | {"split": "train", "index": 10698} |
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: Lily, Ava, Oliver, Aurora, and Evelyn. Lily said that if (Oliver is a devil and Aurora is a devil) then (Oliver is a devil). As Ava put it, \"it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1809, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 10699} |
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