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 saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Oliver, Benjamin, Joseph, Grace, and Amelia. Oliver stated, \"if ((Benjamin is a saint if and only if Oliver is a saint) and (Joseph is a sinner and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1644, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 1]... | {"split": "train", "index": 17200} |
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: Scarlett, Sophia, Sebastian, Harper, and Lily. Scarlett commented, \"(Scarlett is a sage if and only if (Lily is a sage)) if and only if (it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1645, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 2]]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"or\"... | {"split": "train", "index": 17201} |
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, Aurora, Aiden, Alexander, and William. Olivia stated, \"William is a sinner\". Aurora said, \"if (William is a saint if and only if (William ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1646, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 2]]]], [\"... | {"split": "train", "index": 17202} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Grace, Logan, Penelope, and Joseph. Jackson said that ((Logan is a knave) or (Jackson is a knight or Penelope is a knave)) if and only if (L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1647, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"lying\", 2], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"... | {"split": "train", "index": 17203} |
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, Zoey, Sebastian, David, and Luke. Ava said that (Luke is a sage or David is a fool or (if Luke is a sage then Ava is a sage)) and ((if David is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1648, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"tell... | {"split": "train", "index": 17204} |
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: Jackson, Lily, Penelope, Zoey, and Amelia. Jackson asserted: \"((Lily is a fool and Lily is a sage and Penelope is a fool) or Amelia is a fool) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1649, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 4]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"telling-truth\", 4], [\"->\", [\"lying\", 3], [\"and\", [\... | {"split": "train", "index": 17205} |
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, Lucas, Lily, Joseph, and Abigail. Isabella expressed that (Joseph is a fool and (Abigail is a sage or Abigail is a fool) and (Joseph is a sage if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1650, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\... | {"split": "train", "index": 17206} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Grace, Avery, Logan, Elizabeth, and Sofia. \"it is not the case that ((Logan is a pioneer if and only if Grace is a pioneer) and (Sofia is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1651, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"and\", [\"telling-... | {"split": "train", "index": 17207} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, William, Matthew, Daniel, and Grace. Chloe was heard saying, \"((Daniel is a sage and Matthew is a fool and William is a fool) if and only if (if Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1652, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"telling-truth\", 0], [\"and\", [\"and\", [\"lying\", 1], [\"te... | {"split": "train", "index": 17208} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: David, Chloe, Amelia, Harper, and Henry. David expressed that if ((Harper is a laggard if and only if Henry is a laggard) or (Harper is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1653, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]]], [\"a... | {"split": "train", "index": 17209} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Scarlett, Jackson, Sophia, and Mason. Amelia said, \"it is not the case that (if (Jackson is a pioneer) then Scarlett is a laggard).\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1654, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 2]], [\"lying\", 1]]], [\"lying\", 2], [\"or\", [\"lying\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"te... | {"split": "train", "index": 17210} |
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: Sophia, Ethan, Oliver, Jack, and Matthew. \"it is not the case that ((Matthew is a laggard and Matthew is a pioneer) if and only if (if Oliver ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1655, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 1]]]], [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", ... | {"split": "train", "index": 17211} |
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: Daniel, Lucas, William, Matthew, and Lily. Daniel said that (if (Daniel is a devil) then (Matthew is a devil)) if and only if ((Matthew is a devil if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1656, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]]],... | {"split": "train", "index": 17212} |
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, Scarlett, Alexander, Grace, and Isabella. Joseph said, \"Alexander is a pioneer.\" In a statement by Scarlett: \"((Grace is a pioneer a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1657, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"and\", [\"<=>... | {"split": "train", "index": 17213} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Samuel, Logan, Emily, Scarlett, and Mia. Samuel stated, \"(if (Emily is a hero if and only if Logan is a villain) then (Emily is a hero and Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1658, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\"... | {"split": "train", "index": 17214} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Noah, Harper, Amelia, Michael, and Liam. \"((Harper is a fool if and only if Michael is a sage) and (if Michael is a fool then Liam is a sage) and (Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1659, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 1... | {"split": "train", "index": 17215} |
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: Lucas, William, Luke, Matthew, and Riley. Lucas remarked, \"Riley is a fool\". According to William, \"((Lucas is a sage or Matthew is a fool or Riley is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1660, \"statements\": [[\"lying\", 4], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\",... | {"split": "train", "index": 17216} |
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: Aria, Samuel, Alexander, Ella, and Emily. \"if ((Ella is a hero and Alexander is a villain and Emily is a hero) if and only if (Aria is a hero if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1661, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 17217} |
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: Matthew, Jack, Daniel, Scarlett, and Emma. In Matthew's words: \"Daniel is a saint\". \"Scarlett is a saint,\" Jack declared. According to Daniel, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1662, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 3], [\"or\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"tellin... | {"split": "train", "index": 17218} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ethan, Michael, Chloe, Mason, and William. According to Ethan, \"if ((if Michael is a pioneer then William is a pioneer) if and only if (Ethan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1663, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"lying\", 4]], [\"or\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 0... | {"split": "train", "index": 17219} |
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: Michael, Sebastian, Charlotte, Aria, and Penelope. Michael asserted: \"Penelope is an egoist\". \"it is not the case that ((if Penelope is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1664, \"statements\": [[\"lying\", 4], [\"not\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"and\", [\"lying\", 1], [\"te... | {"split": "train", "index": 17220} |
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: Luke, Aurora, Emma, Victoria, and Jack. Luke remarked, \"if ((Jack is a laggard) if and only if (Victoria is a laggard or Luke is a pioneer or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1665, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 17221} |
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, Harper, Logan, Ava, and Owen. Riley commented, \"it is not the case that ((Harper is a saint or Logan is a saint) if and only if (Owen is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1666, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 2]]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 3], [\"not\",... | {"split": "train", "index": 17222} |
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, Abigail, Grace, Olivia, and Victoria. In Liam's words: \"if ((Victoria is a devil and Grace is a devil and Abigail is a devil) or (Olivia is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1667, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\"... | {"split": "train", "index": 17223} |
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: Evelyn, Abigail, Logan, Liam, and Aiden. Evelyn was heard saying, \"(if (Abigail is a laggard and Aiden is a laggard) then (Aiden is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1668, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=... | {"split": "train", "index": 17224} |
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, Aria, Evelyn, Victoria, and Alexander. Scarlett said, \"((if Victoria is a villain then Aria is a villain) or (Aria is a hero)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1669, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1... | {"split": "train", "index": 17225} |
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: Jackson, Matthew, Chloe, Abigail, and Ava. Jackson said that ((if Jackson is a saint then Chloe is a saint) and (Chloe is a saint and Abigail is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1670, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 17226} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Avery, Victoria, Benjamin, and Daniel. Isabella was heard saying, \"it is not the case that (if (Avery is an angel if and only if Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1671, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 17227} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Ava, Grace, Lily, and Emma. James told you that (Lily is a knave and Emma is a knight) or (Grace is a knave or (if Lily is a knight then Ava i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1672, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"<=>\", [\... | {"split": "train", "index": 17228} |
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, Chloe, Lily, Emma, and Logan. \"(if David is a sage then (Lily is a fool and David is a sage and Chloe is a fool)) and ((Lily is a fool if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1673, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3]... | {"split": "train", "index": 17229} |
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: Aria, Zoey, Benjamin, Sophia, and Ethan. \"it is not the case that (if Benjamin is a hero then Aria is a hero),\" Aria declared. Zoey said that if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1674, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"lyin... | {"split": "train", "index": 17230} |
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, Ella, James, David, and Charlotte. Sofia said that ((if James is a laggard then Ella is a pioneer) or Charlotte is a laggard) and (if Ch... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1675, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 0]], [\"lyin... | {"split": "train", "index": 17231} |
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: Scarlett, Benjamin, Victoria, Ava, and Penelope. As Scarlett put it, \"(if (Victoria is a pioneer and Penelope is a pioneer and Ava is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1676, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 2], ... | {"split": "train", "index": 17232} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Evelyn, Matthew, Daniel, Aria, and Mia. \"(it is not the case that (if Mia is an angel then Aria is an angel)) and ((Matthew is a devil) and (Mia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1677, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying... | {"split": "train", "index": 17233} |
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: Aiden, Matthew, Penelope, Jackson, and Sofia. Aiden told you that ((if Penelope is an angel then Jackson is a devil) if and only if (Penelope is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1678, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or... | {"split": "train", "index": 17234} |
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: Jacob, Matthew, Liam, Joseph, and Benjamin. Jacob was heard saying, \"if ((Matthew is a fool) and (if Benjamin is a sage then Liam is a fool)) then (if (Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1679, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"not\",... | {"split": "train", "index": 17235} |
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, Scarlett, Sofia, Luke, and Alexander. \"if ((Mia is a pioneer if and only if Alexander is a pioneer) and (Scarlett is a pioneer if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1680, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"telling-truth\", 3]], [\"and... | {"split": "train", "index": 17236} |
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, Scarlett, Ava, Aiden, and Sebastian. \"((if Aiden is a knave then Scarlett is a knave) or (Scarlett is a knave and Scarlett is a knight and S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1681, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"lying\", 1]],... | {"split": "train", "index": 17237} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Scarlett, Charlotte, Benjamin, and Olivia. Zoey was heard saying, \"(it is not the case that (Charlotte is a sage or Benjamin is a fool)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1682, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"... | {"split": "train", "index": 17238} |
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, Jacob, David, Scarlett, and Sophia. Luke said that Scarlett is a villain. Jacob noted, \"(it is not the case that (if Sophia is a hero then Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1683, \"statements\": [[\"lying\", 3], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\... | {"split": "train", "index": 17239} |
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, Lucas, Olivia, Ella, and Charlotte. According to Daniel, \"(it is not the case that (Charlotte is a sage and Lucas is a fool)) and (it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1684, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 2]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2],... | {"split": "train", "index": 17240} |
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, Aiden, Lily, Sophia, and Evelyn. According to Ella, \"((Aiden is an angel) or (if Evelyn is an angel then Aiden is a devil)) or (if (Evelyn is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1685, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lyi... | {"split": "train", "index": 17241} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Sofia, Grace, Benjamin, and Avery. \"(it is not the case that (if Sofia is a knave then Benjamin is a knave)) if and only if (if (Sofia is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1686, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"telling-truth\", ... | {"split": "train", "index": 17242} |
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: Victoria, Michael, Joseph, Emma, and Mason. \"Mason is a laggard,\" Victoria claimed. In a statement by Michael: \"(Michael is a pioneer and (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1687, \"statements\": [[\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-tr... | {"split": "train", "index": 17243} |
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, Luke, Isabella, Aiden, and Olivia. According to Michael, \"Luke is a sinner or ((Luke is a sinner or Olivia is a sinner or Luke is a saint) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1688, \"statements\": [[\"or\", [\"lying\", 1], [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"->\", [\"->... | {"split": "train", "index": 17244} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Isabella, Grace, Abigail, and Emma. As Alexander put it, \"(Isabella is an altruist and (Abigail is an egoist and Grace is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1689, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"t... | {"split": "train", "index": 17245} |
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: Scarlett, Ella, Jacob, Daniel, and Luke. Scarlett expressed that (it is not the case that (Scarlett is a sinner)) or ((Jacob is a saint or Daniel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1690, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 4... | {"split": "train", "index": 17246} |
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, Zoey, Owen, Isabella, and Daniel. Mia noted, \"if Owen is an egoist then ((Mia is an egoist) or (Owen is an egoist if and only if Isabella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1691, \"statements\": [[\"->\", [\"lying\", 2], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"or\", [\"lying\"... | {"split": "train", "index": 17247} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Owen, Emma, Jacob, and Sophia. Aria asserted: \"((Jacob is a knave) and (Jacob is a knight and Sophia is a knight) and (Sophia is a knight and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1692, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"tellin... | {"split": "train", "index": 17248} |
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: Emma, Abigail, Samuel, Ava, and Olivia. \"((Emma is a saint and Abigail is a sinner) or (Olivia is a saint or Emma is a saint or Abigail is a saint))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1693, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"lying\", 3], [\"and\", [\"and\", [\"telling-tru... | {"split": "train", "index": 17249} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Isabella, Elizabeth, Sebastian, and Aria. Amelia stated, \"((if Isabella is a laggard then Isabella is a pioneer) if and only if (Isabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1694, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 17250} |
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: Matthew, Emma, Daniel, Zoey, and Jackson. Matthew asserted: \"((Daniel is a knave and Matthew is a knight and Jackson is a knight) and (Jackson is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1695, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], ... | {"split": "train", "index": 17251} |
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: Daniel, Victoria, Riley, Aurora, and Oliver. Daniel asserted: \"(Aurora is a villain) and (it is not the case that (Victoria is a hero))\". Victoria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1696, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"not\", [\"lying\", 1]]]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 1... | {"split": "train", "index": 17252} |
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, Matthew, Owen, Henry, and Amelia. Oliver was heard saying, \"Henry is a devil or (it is not the case that (Amelia is an angel))\". Matthew expr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1697, \"statements\": [[\"or\", [\"lying\", 3], [\"not\", [\"not\", [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"... | {"split": "train", "index": 17253} |
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: Benjamin, Elizabeth, Sophia, Jack, and Chloe. Benjamin stated, \"it is not the case that (it is not the case that (if Chloe is a villain then Elizabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1698, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"lying\", 4], [\"or\", [\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-trut... | {"split": "train", "index": 17254} |
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, Jackson, David, Michael, and Evelyn. Charlotte expressed that it is not the case that (it is not the case that (Michael is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1699, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 1]]]], [\"telling-truth\", 0], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 3]... | {"split": "train", "index": 17255} |
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: Penelope, Sophia, David, Emily, and Owen. \"((Emily is a pioneer or Penelope is a pioneer or Owen is a pioneer) and (if Owen is a laggard then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1700, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"not\", [\"lying\", 3]... | {"split": "train", "index": 17256} |
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: Sebastian, Aurora, Matthew, Abigail, and Charlotte. Sebastian noted, \"it is not the case that ((Charlotte is a saint if and only if Aurora is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1701, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", ... | {"split": "train", "index": 17257} |
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, William, Sebastian, Emily, and Noah. Elizabeth said that ((Noah is a fool if and only if Sebastian is a sage) and (William is a sage)) or ((Emil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1702, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"or\", [\"not\... | {"split": "train", "index": 17258} |
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: Lucas, Logan, Amelia, Benjamin, and Victoria. \"it is not the case that ((Victoria is a sage and Victoria is a fool) and (Benjamin is a sage or Amelia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1703, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1]]]], [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 17259} |
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, Aiden, Noah, Olivia, and Zoey. Daniel commented, \"((Olivia is a laggard) if and only if (if Aiden is a laggard then Olivia is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1704, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"... | {"split": "train", "index": 17260} |
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, Ethan, Matthew, and Aiden. Avery remarked, \"if (Aria is a devil if and only if (Ethan is an angel and Matthew is an angel)) then Ethan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1705, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 2]], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or... | {"split": "train", "index": 17261} |
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: Matthew, Lily, Emma, Oliver, and Jackson. Matthew was heard saying, \"Oliver is a pioneer\". Lily told you that Emma is a laggard. According to... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1706, \"statements\": [[\"not\", [\"lying\", 3]], [\"lying\", 2], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]]], [\"or\", [\"lying\", 4], [\"->\", [\"->\", [... | {"split": "train", "index": 17262} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Matthew, Jacob, Olivia, and Noah. \"Noah is a knave,\" Liam claimed. \"if (Olivia is a knight or (if Liam is a knave then Olivia is a knave) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1707, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"not\", [\"and\", [\"lying\", 2... | {"split": "train", "index": 17263} |
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: Matthew, Avery, Michael, Victoria, and Daniel. Matthew expressed that it is not the case that (if (Victoria is an altruist if and only if Avery... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1708, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"lying\", 3], [\"telling-truth\", 4], [\"and\", [\"not\", [\"no... | {"split": "train", "index": 17264} |
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: Samuel, Noah, James, Riley, and Harper. As Samuel put it, \"James is a saint if and only if (it is not the case that (Riley is a saint if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1709, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 1], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4... | {"split": "train", "index": 17265} |
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: William, Aria, Victoria, Jack, and Luke. In William's words: \"Luke is a laggard\". Aria was heard saying, \"if ((Luke is a pioneer and Jack is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1710, \"statements\": [[\"lying\", 4], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-t... | {"split": "train", "index": 17266} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Matthew, Jackson, Olivia, and James. In a statement by Alexander: \"(if (Matthew is an egoist) then (Olivia is an altruist if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1711, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2... | {"split": "train", "index": 17267} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sebastian, Oliver, Jacob, Sofia, and Ella. \"Oliver is an egoist\" - Sebastian. As Oliver put it, \"if Ella is an egoist then (it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1712, \"statements\": [[\"lying\", 1], [\"->\", [\"lying\", 4], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]]], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"o... | {"split": "train", "index": 17268} |
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, Benjamin, Henry, Mason, and Charlotte. Lily noted, \"it is not the case that ((Mason is a knight) and (Henry is a knave and Henry is a knight) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1713, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"telli... | {"split": "train", "index": 17269} |
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, Ethan, Mason, Aurora, and Luke. Aiden expressed that (Luke is a pioneer or (Mason is a pioneer or Luke is a pioneer or Aiden is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1714, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-t... | {"split": "train", "index": 17270} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Chloe, Jacob, Logan, Charlotte, and Abigail. \"((if Charlotte is a sinner then Chloe is a saint) if and only if (if Abigail is a sinner then Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1715, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1... | {"split": "train", "index": 17271} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, James, Sophia, Jack, and Michael. Zoey said, \"it is not the case that ((if Jack is a fool then Zoey is a sage) or (if James is a fool then Sophia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1716, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"or\", [\"and\", [\"and\", [\... | {"split": "train", "index": 17272} |
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, Scarlett, Amelia, Emily, and Joseph. Owen remarked, \"Scarlett is a hero\". In Scarlett's words: \"(it is not the case that (if Owen is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1717, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"... | {"split": "train", "index": 17273} |
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: Ella, Grace, Victoria, Lily, and Samuel. As Ella put it, \"it is not the case that ((Lily is a pioneer or Lily is a laggard) if and only if Gra... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1718, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"tellin... | {"split": "train", "index": 17274} |
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, Luke, Logan, Avery, and Liam. According to Evelyn, \"Luke is a fool\". Luke said, \"Liam is a sage if and only if ((Evelyn is a sage or Evelyn is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1719, \"statements\": [[\"lying\", 1], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 17275} |
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, Noah, Amelia, Riley, and David. \"if ((Amelia is a hero or Noah is a hero) if and only if (Amelia is a hero)) then David is a villain,\" A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1720, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth... | {"split": "train", "index": 17276} |
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: Sophia, Jacob, Avery, Grace, and Michael. Sophia asserted: \"Grace is a fool or ((Avery is a sage or Michael is a fool or Grace is a fool) and (if Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1721, \"statements\": [[\"or\", [\"lying\", 3], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"->\... | {"split": "train", "index": 17277} |
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, Chloe, David, Ava, and Jack. \"Jack is a devil or (if (Chloe is a devil) then (Jack is a devil if and only if Ava is an angel)),\" Emily declare... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1722, \"statements\": [[\"or\", [\"lying\", 4], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"<=>\", [\"lying\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-... | {"split": "train", "index": 17278} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sebastian, Oliver, Harper, Elizabeth, and Jack. Sebastian told you that it is not the case that ((Harper is a devil or Sebastian is an angel or Elizabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1723, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-tr... | {"split": "train", "index": 17279} |
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, Mason, Emily, Riley, and Isabella. Charlotte commented, \"Isabella is a knave\". In Mason's words: \"(Riley is a knight if and only if (Ri... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1724, \"statements\": [[\"lying\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying... | {"split": "train", "index": 17280} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Emma, Oliver, Emily, and Logan. David noted, \"((Oliver is a knight if and only if Emily is a knave) or (David is a knight or Emma is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1725, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\... | {"split": "train", "index": 17281} |
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, Mia, Aiden, Alexander, and Chloe. Olivia commented, \"(it is not the case that (Aiden is a hero and Mia is a hero)) if and only if Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1726, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 3]], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"lying\", 0]], [\"... | {"split": "train", "index": 17282} |
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, Sebastian, Mia, Ava, and Abigail. Harper asserted: \"Mia is a sage\". Sebastian told you that ((if Harper is a fool then Sebastian is a sage) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1727, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and... | {"split": "train", "index": 17283} |
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, Emma, Elizabeth, Avery, and Jacob. In a statement by David: \"Jacob is a hero\". In Emma's words: \"Avery is a villain if and only if (David i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1728, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"telling-tru... | {"split": "train", "index": 17284} |
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: Matthew, Mason, Avery, Scarlett, and Isabella. \"Avery is a laggard,\" Matthew declared. Mason remarked, \"((Matthew is a laggard) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1729, \"statements\": [[\"lying\", 2], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\... | {"split": "train", "index": 17285} |
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, Jack, Emma, Alexander, and Benjamin. \"Jack is a sage and ((Emma is a sage and Alexander is a sage and Benjamin is a fool) or (if Alexander is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1730, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 4]], [\"or\", [\"not\",... | {"split": "train", "index": 17286} |
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, Sofia, Matthew, Sebastian, and Jackson. Liam said that Matthew is a pioneer. Sofia told you that if ((Sebastian is a pioneer) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1731, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [... | {"split": "train", "index": 17287} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: James, Sofia, Samuel, Noah, and Liam. James asserted: \"if Samuel is an angel then (it is not the case that (if James is an angel then Samuel is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1732, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"or\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-t... | {"split": "train", "index": 17288} |
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, Scarlett, Owen, and Mia. William was heard saying, \"(if (Owen is a sinner or Ethan is a saint or William is a saint) then (if Mia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1733, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"tellin... | {"split": "train", "index": 17289} |
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, James, Mia, Ella, and Owen. Benjamin asserted: \"James is a fool or (Owen is a sage if and only if (Mia is a fool))\". James told you that ((Owen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1734, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-t... | {"split": "train", "index": 17290} |
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, Grace, Harper, Chloe, and Owen. Michael noted, \"Grace is a sinner\". Grace expressed that (it is not the case that (Michael is a saint or H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1735, \"statements\": [[\"lying\", 1], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"lying\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"<=... | {"split": "train", "index": 17291} |
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: Joseph, Abigail, Chloe, Jacob, and Lucas. Joseph stated, \"if (Abigail is an angel and (Chloe is a devil or Lucas is an angel) and (Jacob is an angel))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1736, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], ... | {"split": "train", "index": 17292} |
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, Ethan, David, Charlotte, and Aurora. Owen commented, \"if ((if Aurora is a knave then Charlotte is a knight) or (David is a knave)) then David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1737, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"not\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 17293} |
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, Harper, Evelyn, Abigail, and Sofia. James stated, \"Evelyn is an egoist or ((Abigail is an egoist and Sofia is an altruist and James is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1738, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"->\", [\"tell... | {"split": "train", "index": 17294} |
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, Henry, Jacob, Emily, and Elizabeth. Mason expressed that it is not the case that (it is not the case that (Elizabeth is a sinner if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1739, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"<=>... | {"split": "train", "index": 17295} |
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: Logan, Michael, Samuel, Riley, and Daniel. Logan stated, \"((Daniel is a hero or Michael is a hero) if and only if (Riley is a villain)) or (if (Rile... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1740, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 17296} |
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, James, Aria, Ethan, and Scarlett. Olivia noted, \"((Ethan is an altruist or Ethan is an egoist) and (Ethan is an egoist or Aria is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1741, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lyin... | {"split": "train", "index": 17297} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Liam, Joseph, Lucas, Emily, and Benjamin. Liam expressed that if ((Benjamin is a fool) and (Emily is a fool or Liam is a sage)) then ((Lucas is a fool) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1742, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 17298} |
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, Emily, Noah, Joseph, and Lucas. Scarlett remarked, \"if (if (Emily is a hero if and only if Joseph is a villain) then Emily is a hero) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1743, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 1]], [\"lying\", 4]], [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"<=>... | {"split": "train", "index": 17299} |
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