data_source stringclasses 1
value | prompt stringlengths 948 4.18k | ability stringclasses 1
value | reward_model stringlengths 1.89k 8.09k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
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 9 inhabitants: Zoey, Aiden, Abigail, Emma, Logan, Luke, David, Ella, and Evelyn. In Zoey's words: \"((Evelyn is a laggard or Ella is a laggard or Zoey is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2022, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 8], [\"lying\", 7], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"and\"... | {"split": "train", "index": 19800} |
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 9 inhabitants: William, David, Jackson, Grace, Evelyn, Aiden, Penelope, Ethan, and Zoey. \"((Evelyn is an altruist if and only if William is an altruist) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2023, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 6]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 0], [\"tel... | {"split": "train", "index": 19801} |
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 9 inhabitants: Victoria, Isabella, Penelope, Lily, Sofia, Oliver, Daniel, Abigail, and David. \"(if (Abigail is a sage or Isabella is a sage) then (if Abigail is a sage t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2024, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"lying\", 2]]]], [\"and\", [\"lying\", 0], [\"... | {"split": "train", "index": 19802} |
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 9 inhabitants: Ethan, Noah, Victoria, Liam, Lucas, Samuel, Zoey, Lily, and Oliver. Ethan commented, \"Samuel is a sinner\". Noah said, \"it is not the case that ((Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2025, \"statements\": [[\"lying\", 5], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"lying\", 5]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"telling-truth\", 0]... | {"split": "train", "index": 19803} |
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 9 inhabitants: James, Noah, Mia, Ethan, Penelope, Henry, Sofia, Liam, and Jack. In a statement by James: \"(if (Sofia is a villain) then (Henry is a villain or Henr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2026, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 5], [\"telling-truth\", 5], [\"lying\", 3]]], [\"lying\", 5]], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", ... | {"split": "train", "index": 19804} |
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 9 inhabitants: Scarlett, Aria, Lily, Jack, Jackson, Aiden, Oliver, Lucas, and Chloe. In a statement by Scarlett: \"Jackson is an egoist\". Aria expressed that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2027, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6]], [\"or\", [\"telling-truth\", 0], [\"lying\", 7], [\"lying\", 5]], [\"and\", [\"telling-truth\", 5], [\"lying\", 4]], ... | {"split": "train", "index": 19805} |
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 9 inhabitants: Penelope, Amelia, Zoey, Aria, Lily, James, Owen, Sophia, and Victoria. In a statement by Penelope: \"((Sophia is a devil) and (Sophia is an angel or Am... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2028, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 7], [\"lying\", 1]], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"and\", [... | {"split": "train", "index": 19806} |
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 9 inhabitants: James, Daniel, Logan, Mia, Michael, Aria, Zoey, Evelyn, and Sofia. James said, \"it is not the case that (it is not the case that (Michael is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2029, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 7], [\"lying\", 5], [\"telling-truth\", 1]]]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]], [\"lying\", 0]], [\"l... | {"split": "train", "index": 19807} |
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 9 inhabitants: Matthew, Owen, Ethan, Charlotte, Logan, Benjamin, Daniel, Elizabeth, and Lucas. Matthew stated, \"Lucas is an altruist\". In a statement by Owe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2030, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"not\", [\"lying\", 5]], [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"telling-truth\", 8], [\"lying... | {"split": "train", "index": 19808} |
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 9 inhabitants: Joseph, Riley, Emily, Olivia, Oliver, Mason, Elizabeth, Henry, and Lily. Joseph asserted: \"if (if (if Henry is a pioneer then Joseph is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2031, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 6], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth... | {"split": "train", "index": 19809} |
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 9 inhabitants: Mason, Grace, Ava, Liam, Daniel, Zoey, Mia, Logan, and David. Mason told you that ((Daniel is an altruist if and only if Grace is an egoist) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2032, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]]]], [\"not\", [\"<=>\", [\"not... | {"split": "train", "index": 19810} |
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 9 inhabitants: Jackson, Michael, Avery, Penelope, Sophia, Olivia, Aurora, Owen, and Logan. Jackson noted, \"(if (Michael is a fool) then (Aurora is a sage)) and (it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2033, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 6]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 3], [\"lying\", 8]]], [\"->\", [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 19811} |
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 9 inhabitants: Alexander, Lucas, Samuel, Jacob, Ethan, James, Benjamin, Mason, and Oliver. \"it is not the case that ((Mason is a devil) or (Ethan is an angel if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2034, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", ... | {"split": "train", "index": 19812} |
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 9 inhabitants: James, Aria, Alexander, Avery, Daniel, Matthew, Samuel, Grace, and Evelyn. James was heard saying, \"it is not the case that (it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2035, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 8]], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"->\", [... | {"split": "train", "index": 19813} |
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 9 inhabitants: Noah, Jackson, Elizabeth, Oliver, Emma, Grace, Lucas, Daniel, and Joseph. \"if (if (Oliver is a knave) then Joseph is a knave) then ((if Elizabeth is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2036, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 8]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 8]]]], [\"or\", [\"<=>\", [\"not\", ... | {"split": "train", "index": 19814} |
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 9 inhabitants: Lucas, Jacob, Luke, Mason, Isabella, Charlotte, Aiden, Aria, and Liam. Lucas was heard saying, \"((Isabella is an angel and Jacob is a devil and Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2037, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 5], [\"and\", [\"lying\", 5], [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"<=>\"... | {"split": "train", "index": 19815} |
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 9 inhabitants: Scarlett, Matthew, Jack, Avery, Zoey, Oliver, Mason, Chloe, and Samuel. Scarlett expressed that (it is not the case that (Avery is a knight if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2038, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"telling-truth\", 1], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 3], [\"lying\", 7], [\"lying\", 1]], [\"telling-truth\", 5]]]... | {"split": "train", "index": 19816} |
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 9 inhabitants: Alexander, Michael, Jack, Matthew, Amelia, Harper, Mason, Grace, and Emily. Alexander commented, \"(Michael is a knave and (Emily is a knight if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2039, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"lying\", 6]]], [\"or\", [\... | {"split": "train", "index": 19817} |
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 9 inhabitants: Benjamin, Matthew, Aurora, Liam, Oliver, Emily, Elizabeth, Isabella, and Scarlett. Benjamin expressed that Oliver is a laggard. In Matthew's wo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2040, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 6], [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"lying\", 0]], [\"or\", [\"and\", [\"lying\", 5], [\"tel... | {"split": "train", "index": 19818} |
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 9 inhabitants: Sophia, Lily, Avery, Amelia, Ella, Ava, Sebastian, Harper, and Emma. Sophia said that ((Harper is a devil or Ava is an angel or Sophia is an angel) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2041, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 8], [\"telling-truth\", 7]], [\"not\... | {"split": "train", "index": 19819} |
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 9 inhabitants: Henry, Aurora, Owen, Jackson, Mason, Victoria, Mia, Ava, and James. Henry expressed that ((Owen is a villain) and (Ava is a hero) and (Aurora is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2042, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 7]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8]], [\"telling-truth\", 0]],... | {"split": "train", "index": 19820} |
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 9 inhabitants: Charlotte, Harper, Sophia, Luke, James, Amelia, Jacob, Chloe, and Jackson. Charlotte said that ((James is an egoist) if and only if (Sophia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2043, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 2]... | {"split": "train", "index": 19821} |
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 9 inhabitants: Owen, Chloe, Amelia, Sophia, Aria, Lily, Sofia, Olivia, and Jack. According to Owen, \"((Sophia is an angel and Lily is a devil and Jack is an angel an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2044, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\"... | {"split": "train", "index": 19822} |
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 9 inhabitants: Michael, Scarlett, Amelia, Mia, Aurora, Oliver, Benjamin, Chloe, and Elizabeth. \"(if (Mia is an altruist if and only if Benjamin is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2045, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"telling-truth\", 5]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"<... | {"split": "train", "index": 19823} |
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 9 inhabitants: Chloe, Victoria, Aria, Riley, Harper, Aiden, Emily, Ava, and Scarlett. As Chloe put it, \"if ((Emily is a saint) or Scarlett is a saint or (Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2046, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 8], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 5]]], [\"telling-truth\", 5]], [\"and\", [\"a... | {"split": "train", "index": 19824} |
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 9 inhabitants: Sofia, William, Sophia, Lucas, Lily, Daniel, Joseph, Amelia, and Scarlett. Sofia told you that William is a sinner if and only if ((if Daniel is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2047, \"statements\": [[\"<=>\", [\"lying\", 1], [\"and\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 6], [\"lying\", 5], [\"lying\... | {"split": "train", "index": 19825} |
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 9 inhabitants: Sebastian, Emily, Henry, Elizabeth, Victoria, Joseph, Riley, Luke, and Sofia. \"((Riley is a fool if and only if Riley is a sage) or (Henry is a fool if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2048, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"or\",... | {"split": "train", "index": 19826} |
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 9 inhabitants: Michael, Grace, Olivia, Jack, Scarlett, Evelyn, Luke, Zoey, and Matthew. Michael remarked, \"((Scarlett is a knight and Scarlett is a knave and Luke ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2049, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 6], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 4], [\"->\", [\"lying\", 6], [\"lying\... | {"split": "train", "index": 19827} |
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 9 inhabitants: Jacob, David, Sophia, Grace, Ava, Owen, Benjamin, Ethan, and Mia. \"Mia is a knave,\" Jacob declared. David expressed that Ethan is a knave or (if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2050, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"or\", [\"lying\", 7], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]]]], [\"lying\", 1], [\"telling-truth\", 2], [\"<=>\... | {"split": "train", "index": 19828} |
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 9 inhabitants: Sofia, Emily, Sophia, Ava, Chloe, Grace, Zoey, Liam, and David. Sofia was heard saying, \"it is not the case that ((Emily is an altruist or Dav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2051, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8], [\"lying\", 2], [\"lying\", 6]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 19829} |
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 9 inhabitants: Elizabeth, Chloe, Jackson, Owen, Charlotte, Victoria, Matthew, Aria, and Ethan. In Elizabeth's words: \"it is not the case that (if Ethan is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2052, \"statements\": [[\"not\", [\"->\", [\"lying\", 8], [\"->\", [\"lying\", 6], [\"lying\", 8]]]], [\"telling-truth\", 6], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 5], [\"lying\", 7]], [\"<=>\... | {"split": "train", "index": 19830} |
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 9 inhabitants: Riley, Isabella, Victoria, Owen, Olivia, Alexander, Michael, Scarlett, and William. In Riley's words: \"Olivia is a fool if and only if (Isabella is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2053, \"statements\": [[\"<=>\", [\"lying\", 4], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 7], [\"lying\", 5], [\"lying\", 6]], [\"or\", [\"telling-truth\", 6], [\"... | {"split": "train", "index": 19831} |
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 9 inhabitants: Avery, Luke, Riley, Isabella, Sofia, Emma, Grace, Lucas, and Chloe. Avery commented, \"Chloe is a sage if and only if Sofia is a fool\". Luke commented, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2054, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"not\", [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4], [\... | {"split": "train", "index": 19832} |
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 9 inhabitants: Evelyn, Michael, Mia, Elizabeth, Ethan, Charlotte, Mason, Sofia, and Aurora. Evelyn said that Mason is an angel or ((Michael is an angel) and (Mason is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2055, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 8], [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"and\", [\"not\", [\"lying\", 2]... | {"split": "train", "index": 19833} |
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 9 inhabitants: William, Scarlett, James, Owen, Victoria, Michael, Benjamin, Grace, and Alexander. William commented, \"(Owen is a hero and (Alexander is a villain a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2056, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 8], [\"telling-truth\", 6]], [\"telling-truth\", 8]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 4], [\"ly... | {"split": "train", "index": 19834} |
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 9 inhabitants: Emily, Zoey, Owen, Henry, Elizabeth, Jacob, Logan, Sofia, and Emma. Emily told you that (Henry is a devil and (if Sofia is a devil then Zoey is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2057, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"->\", [\"lying\", 7], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 6]]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 7]], [\"and\", [\"telling-truth\", 2]... | {"split": "train", "index": 19835} |
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 9 inhabitants: Victoria, Jacob, Matthew, Lucas, Scarlett, William, Chloe, Ethan, and Owen. \"if (Owen is a hero if and only if (if Jacob is a hero then Ethan is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2058, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 8], [\"->\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]]]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 2], [\"... | {"split": "train", "index": 19836} |
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 9 inhabitants: Jack, Oliver, Aria, Sebastian, Logan, Aiden, Abigail, Scarlett, and Matthew. \"((Scarlett is a knave if and only if Oliver is a knave) or (if Aria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2059, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 5]], [\"->\", [\"lying\", 7], [\"lyi... | {"split": "train", "index": 19837} |
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 9 inhabitants: Emma, Lucas, Mason, Logan, Scarlett, Mia, Jacob, Amelia, and Sebastian. \"((Amelia is an egoist or Lucas is an altruist) and (Lucas is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2060, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7], [\"lying\"... | {"split": "train", "index": 19838} |
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 9 inhabitants: Owen, Ethan, Ava, Mia, Sebastian, Noah, Lily, Benjamin, and Jack. Owen remarked, \"if ((Mia is a knave) if and only if (if Noah is a knave then Noah ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2061, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 5]]... | {"split": "train", "index": 19839} |
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 9 inhabitants: Owen, Evelyn, Matthew, Olivia, Mia, Amelia, Emma, Lucas, and Logan. Owen asserted: \"Logan is a sage or (it is not the case that (Olivia is a sage if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2062, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"or\", [\"telling-tr... | {"split": "train", "index": 19840} |
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 9 inhabitants: Aiden, Oliver, William, Samuel, Evelyn, Daniel, Ella, Ethan, and Henry. Aiden was heard saying, \"it is not the case that ((Ella is a devil if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2063, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]], [\"not\", [\"lying\", 5]], [\"lying\", 6], [\"or\", [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 2]]]], [\"lying\", 8], [\"or\", [\"no... | {"split": "train", "index": 19841} |
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 9 inhabitants: Penelope, David, Jack, Chloe, Scarlett, Avery, Elizabeth, Logan, and Lucas. Penelope commented, \"((Penelope is a villain) and David is a villain and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2064, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 1], [\"telling-truth\", 7]], [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"telling-truth\",... | {"split": "train", "index": 19842} |
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 9 inhabitants: Alexander, Chloe, Jackson, Joseph, Charlotte, Logan, Aurora, Matthew, and Abigail. \"Chloe is a knight or ((Logan is a knave or Joseph is a knight) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2065, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth... | {"split": "train", "index": 19843} |
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 9 inhabitants: Emma, Owen, Liam, Aiden, Evelyn, Logan, Riley, Noah, and David. According to Emma, \"if (Owen is a pioneer and (Owen is a pioneer if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2066, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"tell... | {"split": "train", "index": 19844} |
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 9 inhabitants: Grace, Aurora, Matthew, Aria, Jack, Isabella, Ava, Riley, and Daniel. Grace noted, \"(if Riley is a knight then (Riley is a knight if and only if Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2067, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"lying\", 2]], [\"telling-truth\", 2]... | {"split": "train", "index": 19845} |
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 9 inhabitants: Grace, Zoey, Joseph, Sophia, Aurora, Mason, Scarlett, Chloe, and Harper. Grace asserted: \"Chloe is a fool\". Zoey noted, \"(Joseph is a fool) and Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2068, \"statements\": [[\"lying\", 7], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 6], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 7], [\"lying\", 5]], [\"and\", [\"lyi... | {"split": "train", "index": 19846} |
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 9 inhabitants: Benjamin, Jacob, Harper, Evelyn, Logan, Lily, Sofia, Elizabeth, and Jack. Benjamin stated, \"((if Evelyn is a sinner then Logan is a sinner) or (Evel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2069, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 6], [\"lying\", 1]], [\"and\", [\"telling-truth\", 8], [\"telling-tru... | {"split": "train", "index": 19847} |
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 9 inhabitants: Abigail, Oliver, Mason, Charlotte, Alexander, Zoey, Emma, Michael, and Elizabeth. \"((Mason is a devil and Oliver is an angel and Oliver is a devil) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2070, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 3]... | {"split": "train", "index": 19848} |
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 9 inhabitants: Matthew, Oliver, Zoey, Liam, Lucas, Evelyn, Ethan, Amelia, and Logan. In Matthew's words: \"it is not the case that (it is not the case that (Evelyn is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2071, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"lying\", 8]]]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 6], ... | {"split": "train", "index": 19849} |
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 9 inhabitants: Olivia, Mia, Jacob, Grace, Noah, Sofia, Charlotte, Emma, and Joseph. Olivia told you that Jacob is a sage. In Mia's words: \"Charlotte is a fool and (Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2072, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 6], [\"not\", [\"telling-truth\", 7]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]]]], [\"or\", [\"or\", [\"not\", [\"lying\", 0]], [\"or\"... | {"split": "train", "index": 19850} |
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 9 inhabitants: Mason, Sofia, James, Evelyn, Daniel, Jack, Scarlett, Logan, and Abigail. Mason said that if (Daniel is a villain or James is a hero) then ((if Evelyn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2073, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 7]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"telling-truth\", 2], ... | {"split": "train", "index": 19851} |
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 9 inhabitants: James, Aria, Sofia, Luke, Zoey, Henry, Emily, Harper, and Alexander. James noted, \"Emily is a fool or ((Emily is a sage if and only if Alexander is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2074, \"statements\": [[\"or\", [\"lying\", 6], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\"... | {"split": "train", "index": 19852} |
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 9 inhabitants: Zoey, Matthew, Grace, Ella, Daniel, Aria, William, Abigail, and Henry. According to Zoey, \"if Ella is an egoist then (it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2075, \"statements\": [[\"->\", [\"lying\", 3], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]]]], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]], [\"and\", [\"lying\", 6], [\"telling-t... | {"split": "train", "index": 19853} |
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 9 inhabitants: Oliver, Logan, Charlotte, Daniel, Lily, Olivia, Grace, Noah, and Benjamin. Oliver commented, \"if ((if Daniel is a villain then Logan is a hero) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2076, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 6]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying... | {"split": "train", "index": 19854} |
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 9 inhabitants: Lily, Sebastian, Charlotte, Jacob, Alexander, Luke, Riley, Scarlett, and Emma. \"(if Emma is a laggard then Riley is a pioneer) and ((Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2077, \"statements\": [[\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 5], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 6], [\"t... | {"split": "train", "index": 19855} |
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 9 inhabitants: Riley, Penelope, Mason, Liam, Jacob, Aurora, Harper, Chloe, and Michael. According to Riley, \"Aurora is a villain if and only if (Harper is a hero)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2078, \"statements\": [[\"<=>\", [\"lying\", 5], [\"not\", [\"lying\", 6]]], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"telling-truth\", 7... | {"split": "train", "index": 19856} |
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 9 inhabitants: Lily, Penelope, Matthew, Sebastian, Abigail, Emily, Scarlett, Ethan, and Daniel. \"((Matthew is a fool or Penelope is a sage or Ethan is a sage or Lily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2079, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"lying\", 7], [\"telling-truth\", 4], [\"lying\", 4]]], [\... | {"split": "train", "index": 19857} |
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 9 inhabitants: Ethan, Emily, Evelyn, Harper, William, Mason, Riley, Avery, and Mia. Ethan was heard saying, \"Avery is a saint and (Mia is a saint and (Harper is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2080, \"statements\": [[\"and\", [\"telling-truth\", 7], [\"and\", [\"telling-truth\", 8], [\"<=>\", [\"lying\", 3], [\"lying\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 2]], [\"or\", [\"telling-truth\", 8],... | {"split": "train", "index": 19858} |
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 9 inhabitants: Benjamin, James, Jackson, Ella, Abigail, Riley, Isabella, Michael, and Victoria. According to Benjamin, \"Ella is a sinner\". James noted, \"it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2081, \"statements\": [[\"lying\", 3], [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 5], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"telli... | {"split": "train", "index": 19859} |
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 9 inhabitants: Ella, Mason, Grace, Michael, Aurora, Riley, Sebastian, Scarlett, and Victoria. According to Ella, \"((Sebastian is a laggard if and only if Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2082, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 1]], [\"not\", [\"lying\", 6]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 6], [\"telling-tr... | {"split": "train", "index": 19860} |
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 9 inhabitants: Lily, Evelyn, Aiden, Aria, Victoria, Olivia, Ava, Benjamin, and Luke. Lily noted, \"(if (Luke is a sinner) then Benjamin is a sinner) and (it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2083, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 7]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 5], [\"lying\", ... | {"split": "train", "index": 19861} |
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 9 inhabitants: Victoria, Elizabeth, Michael, Grace, Jackson, Benjamin, Sofia, Avery, and Abigail. Victoria told you that it is not the case that (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2084, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"lying\", 0], [\"not\",... | {"split": "train", "index": 19862} |
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 9 inhabitants: Lily, Avery, Alexander, Isabella, James, Riley, Elizabeth, Ella, and Ava. In a statement by Lily: \"if (if (Riley is a knight if and only if Lily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2085, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 5]]]], [\"and\", [\"lying\", 3], [... | {"split": "train", "index": 19863} |
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 9 inhabitants: Sofia, Michael, Logan, Grace, David, Lily, Abigail, Penelope, and Aria. Sofia said that ((if Penelope is a pioneer then Lily is a laggard) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2086, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"telling-truth\", 6]], [\"<=>\", [\"->\", [\"and\", [\"l... | {"split": "train", "index": 19864} |
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 9 inhabitants: Harper, Emma, Samuel, Aurora, William, Liam, David, Riley, and Avery. In Harper's words: \"if ((Samuel is a fool and Avery is a fool) or (if Riley is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2087, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 8]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 8]]], [\"an... | {"split": "train", "index": 19865} |
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 9 inhabitants: Liam, Sebastian, Ella, Scarlett, Jackson, Samuel, Alexander, Owen, and Chloe. Liam stated, \"((Owen is a laggard and Samuel is a laggard and Sc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2088, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 7], [... | {"split": "train", "index": 19866} |
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 9 inhabitants: Victoria, Mason, David, Emily, Emma, Abigail, Olivia, Charlotte, and Michael. \"if ((Emma is a sage) if and only if (Olivia is a fool or Charlotte is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2089, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\", 8]... | {"split": "train", "index": 19867} |
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 9 inhabitants: Abigail, Isabella, Sophia, Owen, Zoey, Aiden, Penelope, Jackson, and Scarlett. According to Abigail, \"it is not the case that (Zoey is a hero or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2090, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling... | {"split": "train", "index": 19868} |
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 9 inhabitants: Jack, Scarlett, Harper, Victoria, Lucas, Noah, Aiden, Henry, and Elizabeth. Jack said, \"Lucas is a sage.\" Scarlett said, \"Noah is a sage.\" In a stateme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2091, \"statements\": [[\"not\", [\"lying\", 4]], [\"telling-truth\", 5], [\"not\", [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 1], [\"telling-truth\", 8]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"or\", [\"... | {"split": "train", "index": 19869} |
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 9 inhabitants: Avery, Sofia, Noah, Grace, Amelia, Jackson, Evelyn, Aiden, and Daniel. Avery stated, \"Amelia is an egoist\". Sofia asserted: \"it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2092, \"statements\": [[\"lying\", 4], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]]], [\"->\", [\"or\", [\"or\", [\"lying\", 5], [\"lying\", 8]... | {"split": "train", "index": 19870} |
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 9 inhabitants: Harper, Olivia, Henry, Avery, Sophia, Isabella, Logan, Benjamin, and Oliver. In a statement by Harper: \"if ((Oliver is a laggard) or (if Logan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2093, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 0]], [\"or\", [\... | {"split": "train", "index": 19871} |
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 9 inhabitants: Amelia, Aria, Logan, Avery, Sofia, Riley, Evelyn, Liam, and Isabella. \"((Avery is a villain and Aria is a villain) and (if Logan is a villain then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2094, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"l... | {"split": "train", "index": 19872} |
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 9 inhabitants: Alexander, Mason, Ethan, Chloe, Henry, Benjamin, Jackson, Luke, and Lily. \"Chloe is a pioneer or (it is not the case that (Luke is a pioneer i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2095, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 5... | {"split": "train", "index": 19873} |
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 9 inhabitants: William, David, Victoria, James, Daniel, Evelyn, Scarlett, Isabella, and Olivia. William asserted: \"(Isabella is a laggard and (Evelyn is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2096, \"statements\": [[\"and\", [\"and\", [\"lying\", 7], [\"and\", [\"telling-truth\", 5], [\"lying\", 1], [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and... | {"split": "train", "index": 19874} |
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 9 inhabitants: Benjamin, Samuel, Amelia, Avery, Victoria, Chloe, Mia, Jack, and Penelope. \"((Mia is a knight or Avery is a knight or Mia is a knave) or (Amelia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2097, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 6]], [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 5], [\"lying\", 8]]], [\"or\", [\"->\", [\"lying\", 1], [\"lyi... | {"split": "train", "index": 19875} |
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 9 inhabitants: Henry, Alexander, Victoria, Joseph, Ava, Mia, Penelope, Riley, and Jackson. Henry commented, \"((if Jackson is an altruist then Riley is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2098, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\", 7]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 7], [\"telling-truth\", 0], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"lying\",... | {"split": "train", "index": 19876} |
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 9 inhabitants: Olivia, David, Scarlett, Lucas, Abigail, Elizabeth, Jack, Victoria, and Aria. Olivia commented, \"(it is not the case that (David is a hero or Elizab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2099, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 5], [\"lying\", 6], [\"telling-truth\", 6]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"telling-truth\", 8]], [\"->\"... | {"split": "train", "index": 19877} |
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 9 inhabitants: Zoey, Liam, Abigail, Jacob, Charlotte, Emily, Lily, Luke, and Oliver. \"((if Liam is a devil then Lily is an angel) and (Charlotte is a devil or Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2100, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 6]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 1]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 19878} |
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 9 inhabitants: Aurora, Chloe, Oliver, Mason, Zoey, Alexander, Harper, Aiden, and Ella. Aurora expressed that ((if Mason is an egoist then Aiden is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2101, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 6], [\"lying\", 2]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 3], [\"lyi... | {"split": "train", "index": 19879} |
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 9 inhabitants: Henry, Benjamin, Penelope, Daniel, Aria, Luke, Liam, Ava, and Samuel. \"it is not the case that ((Daniel is a saint) and (Samuel is a sinner and Liam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2102, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 8], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 6]], [\"lying\", 2]]], [\"or\", [\"or\", [\"or\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 19880} |
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 9 inhabitants: Victoria, Luke, Lily, Scarlett, Michael, Sophia, Liam, Owen, and William. Victoria expressed that it is not the case that ((Luke is an egoist a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2103, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 6]], ... | {"split": "train", "index": 19881} |
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 9 inhabitants: Lily, Riley, Ava, Emily, Ella, Evelyn, James, Penelope, and Aurora. According to Lily, \"it is not the case that ((if Ella is a sage then Evelyn is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2104, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 5]], [\"or\", [\"telling-truth\", 7], [\"lying\", 6]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]]]], [\"not\", [\"<=>\", [\"->\", [\... | {"split": "train", "index": 19882} |
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 9 inhabitants: Alexander, Jackson, Aiden, Amelia, Scarlett, Jacob, William, Matthew, and Victoria. \"Jacob is an angel,\" Alexander mentioned. \"((Matthew is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2105, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]], [\"->\", [\"lying\", 2], [... | {"split": "train", "index": 19883} |
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 9 inhabitants: Jacob, Victoria, David, Amelia, Sofia, Avery, Michael, Mia, and James. Jacob commented, \"if Amelia is an egoist then ((David is an altruist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2106, \"statements\": [[\"->\", [\"lying\", 3], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6], [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\",... | {"split": "train", "index": 19884} |
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 9 inhabitants: Isabella, Penelope, Daniel, Mia, Ethan, Harper, David, Sofia, and Emma. Isabella remarked, \"((if Isabella is an angel then Penelope is an angel) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2107, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5], [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 7], [\... | {"split": "train", "index": 19885} |
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 9 inhabitants: Sofia, Jack, Liam, Lucas, Alexander, Isabella, Jackson, Zoey, and Matthew. Sofia told you that ((Liam is an angel or Lucas is an angel) and (Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2108, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 8], [\"lying\", 6]]], [\"lying\", 2], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying... | {"split": "train", "index": 19886} |
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 9 inhabitants: Noah, Joseph, Alexander, Aria, Samuel, Charlotte, Victoria, Daniel, and Avery. Noah said that ((Avery is a devil if and only if Daniel is an angel) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2109, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"not\... | {"split": "train", "index": 19887} |
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 9 inhabitants: Jack, Sebastian, Ava, Henry, Aria, Noah, Amelia, Emily, and Sofia. Jack said that it is not the case that ((Emily is a sage if and only if Ava is a sage) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2110, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 8], [\"lying\", 7], [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 5], [\"tell... | {"split": "train", "index": 19888} |
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 9 inhabitants: Sophia, Victoria, Logan, Aria, Abigail, Charlotte, David, Owen, and Penelope. \"it is not the case that (Logan is an angel or Victoria is an angel)\" -... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2111, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"<=>\", [\"lying\", 7], [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\... | {"split": "train", "index": 19889} |
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 9 inhabitants: Luke, Henry, Penelope, Daniel, Ethan, Owen, Joseph, Olivia, and Harper. Luke was heard saying, \"((if Henry is an egoist then Penelope is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2112, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 8], [\"lying\", 7]]], [\"lying\", 8], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"l... | {"split": "train", "index": 19890} |
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 9 inhabitants: Charlotte, James, Penelope, Owen, Alexander, Ethan, Olivia, Luke, and Sebastian. In a statement by Charlotte: \"if ((James is a laggard) or Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2113, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 5], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 5], [\"lying\", 3], [... | {"split": "train", "index": 19891} |
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 9 inhabitants: Abigail, Samuel, Aria, Chloe, Henry, William, Jackson, Zoey, and Michael. Abigail said that (if (Samuel is a fool or Michael is a sage or William is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2114, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 8], [\"lying\", 5], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying... | {"split": "train", "index": 19892} |
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 9 inhabitants: Scarlett, Charlotte, Emily, Olivia, Owen, Ethan, Ava, Mia, and Jackson. According to Scarlett, \"if ((Olivia is a hero if and only if Olivia is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2115, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 6], [\"lying\", 5], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 2]], [\"<=>\", [\"<=>\"... | {"split": "train", "index": 19893} |
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 9 inhabitants: Luke, Alexander, Zoey, Lucas, Isabella, Ethan, Liam, Harper, and Sophia. Luke said, \"((if Lucas is an angel then Alexander is a devil) or (Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2116, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 19894} |
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 9 inhabitants: Ella, Zoey, Harper, Aurora, Sofia, Aiden, Joseph, Avery, and Isabella. In Ella's words: \"if (if Aiden is a hero then (Sofia is a hero if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2117, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]], [\"and\", [\"telling-truth\", 1], [\"telling-tru... | {"split": "train", "index": 19895} |
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 9 inhabitants: Avery, Jackson, Lucas, Riley, William, Ethan, Isabella, Charlotte, and Benjamin. Avery remarked, \"Isabella is a devil\". Jackson stated, \"((William i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2118, \"statements\": [[\"lying\", 6], [\"and\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]... | {"split": "train", "index": 19896} |
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 9 inhabitants: Alexander, Ethan, Henry, Joseph, Jack, Samuel, Chloe, Elizabeth, and Olivia. Alexander stated, \"(Ethan is a fool) or (Chloe is a fool) or ((if Samuel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2119, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 2]], [\"and\", [\"telling-truth\", 8], [\"lying\", 4], [\"lying\", 6]... | {"split": "train", "index": 19897} |
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 9 inhabitants: Lily, Penelope, Elizabeth, Emily, Mia, Sebastian, James, Matthew, and Benjamin. \"Matthew is a sinner,\" Lily claimed. Penelope commented, \"it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2120, \"statements\": [[\"lying\", 7], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 5], [\"lying\", 8]], [\"and\", [\"telling-truth\"... | {"split": "train", "index": 19898} |
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 9 inhabitants: Scarlett, Ethan, Harper, Ava, Aurora, Ella, Lucas, Luke, and Zoey. \"it is not the case that (it is not the case that (Ethan is an altruist if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2121, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]], [\"or\", [\"telling-truth\", 3], [\"lying\", 7], [\... | {"split": "train", "index": 19899} |
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