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 angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lucas, Emily, Mason, Charlotte, Joseph, Isabella, Mia, Aria, and Zoey. Lucas was heard saying, \"(Aria is a devil if and only if Mia is a devil) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2188, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]], [\"and\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0]]... | {"split": "train", "index": 13300} |
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, Evelyn, Chloe, Riley, Charlotte, Oliver, Sophia, Emily, and William. \"(Riley is a hero and Emily is a hero) or (Evelyn is a villain or Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2189, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"or\", [\"lying\", 1], [\"lying\", 8], [\"lying\", 6]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"<=>\", [\"tellin... | {"split": "train", "index": 13301} |
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: Abigail, Luke, Avery, Ava, Henry, Olivia, Aria, Evelyn, and Michael. As Abigail put it, \"(Avery is a pioneer if and only if Olivia is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2190, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8], [\"lyin... | {"split": "train", "index": 13302} |
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, Harper, Alexander, Avery, Scarlett, Emma, Benjamin, Ava, and Sebastian. \"Benjamin is a knight,\" Elizabeth mentioned. Harper expressed th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2191, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 0]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8], [\"lying\", 2]], [\"lying\", 0], [\"not\", [\"lying\", 7]]], [\"lying\... | {"split": "train", "index": 13303} |
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: Sophia, Abigail, Ella, Michael, Zoey, Ethan, Mason, Jacob, and Joseph. Sophia expressed that (Ethan is a saint or Ella is a sinner or Ethan is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2192, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 5], [\"lying\", 3]], [\"->\", [\"lying\", 5], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 6]], [\"not\", [\"lying\", 1]]],... | {"split": "train", "index": 13304} |
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, Jacob, Liam, Mason, Lily, Ava, Jackson, Samuel, and Logan. Sofia remarked, \"(Samuel is a laggard and Ava is a pioneer) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2193, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 4]... | {"split": "train", "index": 13305} |
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, Jack, Sebastian, Scarlett, Ella, Aiden, Sophia, Daniel, and Henry. Grace asserted: \"if Grace is a knight then (Jack is a knight and Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2194, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 7], [\"telling-truth\", 5]], [\"telling-truth\", 6]], ... | {"split": "train", "index": 13306} |
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: Scarlett, Benjamin, Liam, Zoey, Isabella, Evelyn, Olivia, Aurora, and Charlotte. In a statement by Scarlett: \"Zoey is a sinner\". \"if (Isabella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2195, \"statements\": [[\"lying\", 3], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 0]... | {"split": "train", "index": 13307} |
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: Matthew, Liam, Elizabeth, Lucas, Lily, Noah, Mason, Benjamin, and Zoey. Matthew said, \"Liam is a villain.\" \"(Elizabeth is a villain) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2196, \"statements\": [[\"lying\", 1], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 7]], [\"lying\", 8], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"->\", [\"lying\", 5], [\"tell... | {"split": "train", "index": 13308} |
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, Lily, Samuel, Jacob, Charlotte, Zoey, Henry, Elizabeth, and Aiden. \"it is not the case that (Jacob is a knave or Elizabeth is a knight or C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2197, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 7], [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 8]], [\"and\", [\"telling-truth\", 7], [\"telli... | {"split": "train", "index": 13309} |
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, Liam, Isabella, Owen, Sofia, Sebastian, Aria, Lily, and Mia. In Noah's words: \"it is not the case that (Sofia is a knave and Mia is a knave an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2198, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 7]]], [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"->\",... | {"split": "train", "index": 13310} |
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: Aiden, Amelia, Aurora, Mia, Mason, Jack, Sophia, Zoey, and Ethan. \"(Ethan is a fool if and only if Jack is a sage) if and only if (Ethan is a fool if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2199, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 8], [\"lying\", 7]]], [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 6], ... | {"split": "train", "index": 13311} |
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: Joseph, Owen, Jackson, Charlotte, Benjamin, Ethan, Aiden, Noah, and Sebastian. Joseph told you that (Jackson is a sage and Benjamin is a sage and Benjamin ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2200, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 13312} |
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: Oliver, David, Emily, Alexander, Matthew, Olivia, James, Daniel, and Mason. Oliver stated, \"Emily is an altruist\". David noted, \"James is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2201, \"statements\": [[\"telling-truth\", 2], [\"lying\", 6], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 7], [\"lying\", 6], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"ly... | {"split": "train", "index": 13313} |
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: Amelia, Riley, Isabella, Matthew, Daniel, Harper, Grace, Logan, and William. Amelia asserted: \"William is a sage\". Riley remarked, \"William is a sage\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2202, \"statements\": [[\"telling-truth\", 8], [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 8], [\"lying\", 1]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"->\", [\"telling-t... | {"split": "train", "index": 13314} |
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: Sebastian, Victoria, Evelyn, Isabella, Samuel, Henry, Emma, Mason, and Noah. Sebastian commented, \"Henry is a hero\". Victoria commented, \"Sebastia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2203, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 6], [\"telling-truth\", 3]], [\"<=>\", [\... | {"split": "train", "index": 13315} |
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: Daniel, Liam, Samuel, Oliver, Ava, Amelia, Lucas, Ella, and Aria. Daniel told you that Ava is a devil if and only if (if Liam is an angel then Ava is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2204, \"statements\": [[\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"te... | {"split": "train", "index": 13316} |
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: Jackson, Penelope, Ella, Jack, Owen, Abigail, Liam, Luke, and Logan. Jackson said that (Jack is an altruist or Liam is an egoist or Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2205, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 6], [\"lying\", 1], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]], [\"or\", [\"telling-truth\", 0], [\"lying\", 5]]], [\... | {"split": "train", "index": 13317} |
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: Penelope, Charlotte, Matthew, Scarlett, Daniel, Chloe, Michael, Riley, and Noah. Penelope told you that (if Matthew is a laggard then Noah is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2206, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]], [\"or\", [\"lying\", 1], [\"lying\", 5], [\"lying\", 6]]], [\"and\", [\"lying\", 7], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"no... | {"split": "train", "index": 13318} |
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, David, Ava, Aria, Liam, Grace, Emma, Jacob, and Emily. In a statement by Lily: \"if (Liam is a sinner) then Ava is a saint\". \"Jacob is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2207, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"telling-truth\", 7], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 5], [\"lying\", 4], [\"lying\", 0]]], [\"telling-truth\", 5], ... | {"split": "train", "index": 13319} |
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: Daniel, Zoey, Sofia, Isabella, Lily, Riley, Victoria, Chloe, and Alexander. Daniel was heard saying, \"(Chloe is an altruist) if and only if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2208, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 7]], [\"->\", [\"lying\", 5], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]... | {"split": "train", "index": 13320} |
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: Ethan, Jacob, Emma, Victoria, Ella, Lucas, Sofia, Charlotte, and Abigail. Ethan commented, \"if (Ella is a knave if and only if Lucas is a knave) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2209, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"lying\", 8], [\"lying\", 6]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"not\", [\"lyi... | {"split": "train", "index": 13321} |
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, Logan, Owen, Aurora, Amelia, Lucas, Emma, Elizabeth, and Samuel. As Michael put it, \"(Owen is a knave) and Amelia is a knave and (Logan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2210, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 4], [\"and\", [\"lying\", 1], [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 6]]], [\"and\", [\... | {"split": "train", "index": 13322} |
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, Noah, Mason, Scarlett, Chloe, Oliver, Benjamin, Lucas, and Liam. Emma noted, \"(Chloe is a laggard and Chloe is a pioneer and Scarlett is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2211, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 1]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"telling-truth\", 7], [\"and\... | {"split": "train", "index": 13323} |
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, Henry, Ella, Chloe, Abigail, Jackson, David, Sofia, and Evelyn. According to Sebastian, \"it is not the case that (Sofia is a sage if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2212, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"t... | {"split": "train", "index": 13324} |
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: Aurora, Zoey, Elizabeth, Aiden, Penelope, Oliver, Victoria, Sofia, and David. Aurora told you that Oliver is a fool. Zoey remarked, \"if (Penelope is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2213, \"statements\": [[\"lying\", 5], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telli... | {"split": "train", "index": 13325} |
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, Matthew, Olivia, Aurora, William, Mason, Jack, Samuel, and Lily. \"(Samuel is a sage or Olivia is a fool) if and only if (Olivia is a sage and Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2214, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3], ... | {"split": "train", "index": 13326} |
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, Michael, Riley, James, Olivia, Penelope, Logan, Elizabeth, and Grace. In Alexander's words: \"Riley is an angel\". \"(Riley is a devil and O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2215, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"lying\", 6], [\"telling-truth\", 5], [\"->\", [\"lying\", 5], [\"->\", [\"lying\", 1], ... | {"split": "train", "index": 13327} |
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: William, Charlotte, Oliver, Victoria, Lily, Riley, Penelope, Abigail, and Matthew. William was heard saying, \"it is not the case that (Victoria is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2216, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 7], [\"lying\", 7], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 13328} |
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: Lucas, Olivia, Mia, Luke, Zoey, Aurora, Oliver, Aria, and Ava. In a statement by Lucas: \"if (Oliver is a sage) then (if Oliver is a sage then Aria is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2217, \"statements\": [[\"->\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 7]], [\"not\", [\"and\", [\"telling-truth\",... | {"split": "train", "index": 13329} |
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: Emily, Joseph, Logan, Lily, James, William, Matthew, Sophia, and Sofia. \"Matthew is an altruist,\" Emily declared. According to Joseph, \"(Lil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2218, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 7], [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 5], [\"telling-truth\", 8... | {"split": "train", "index": 13330} |
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: Isabella, Alexander, Benjamin, Ella, William, Luke, Henry, Grace, and Avery. \"Luke is an altruist,\" Isabella declared. In Alexander's words: ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2219, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 5]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 0], [\"telli... | {"split": "train", "index": 13331} |
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: Isabella, Liam, Matthew, Avery, Penelope, William, Oliver, Sofia, and Evelyn. Isabella commented, \"(Matthew is a sinner) or (if Sofia is a saint the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2220, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"tel... | {"split": "train", "index": 13332} |
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: Isabella, Matthew, Charlotte, Scarlett, Henry, Liam, Daniel, Noah, and Oliver. In Isabella's words: \"if (Matthew is a sinner if and only if Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2221, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"not\", [\"->\", [\"... | {"split": "train", "index": 13333} |
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: Penelope, Alexander, Avery, Aurora, Michael, Ella, William, Sebastian, and Lily. Penelope remarked, \"if (if (if William is a fool then Avery is a sage) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 0, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 6]], [\"lying\", 4]]], [\"->\",... | {"split": "train", "index": 13334} |
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: Elizabeth, Sophia, Isabella, Harper, Emily, Ethan, James, Abigail, and Joseph. Elizabeth told you that Emily is a laggard. \"((Joseph is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1, \"statements\": [[\"lying\", 4], [\"<=>\", [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"<=>\", [\... | {"split": "train", "index": 13335} |
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: Victoria, Ella, Amelia, Ethan, Grace, Sebastian, Owen, James, and Aria. Victoria stated, \"Owen is a sinner\". Ella said that (if Ethan is a sinner t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2, \"statements\": [[\"lying\", 6], [\"<=>\", [\"->\", [\"lying\", 3], [\"->\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"and\", [\"telling-truth\", 6], [\"lying\... | {"split": "train", "index": 13336} |
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: Aria, Harper, Aiden, Avery, Amelia, Henry, Charlotte, Aurora, and Zoey. Aria said that Avery is a devil. Harper asserted: \"if (Charlotte is a devil an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3, \"statements\": [[\"lying\", 3], [\"->\", [\"and\", [\"lying\", 6], [\"or\", [\"lying\", 6], [\"lying\", 8]]], [\"telling-truth\", 8]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"and\", [\"telling-t... | {"split": "train", "index": 13337} |
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: Ethan, Aurora, Benjamin, Lily, Sebastian, Ella, Elizabeth, Sofia, and Lucas. Ethan commented, \"Ella is a villain if and only if ((Lily is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 4, \"statements\": [[\"<=>\", [\"lying\", 5], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"and\", [\"telling-... | {"split": "train", "index": 13338} |
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: Jack, Grace, Evelyn, Ethan, Avery, Emily, Henry, Ella, and Oliver. \"(it is not the case that (Ethan is a hero or Ethan is a villain)) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 5, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 3]]]], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [... | {"split": "train", "index": 13339} |
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: Joseph, Amelia, Charlotte, Harper, Logan, Isabella, Mason, Penelope, and Riley. As Joseph put it, \"((Riley is a villain) if and only if (Harper is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 6, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"lying\", 2]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 0], [\"telling-tr... | {"split": "train", "index": 13340} |
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, Aria, Michael, Ella, Sebastian, Liam, Logan, Oliver, and Henry. Alexander stated, \"it is not the case that (it is not the case that (if Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 7, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 2], [\"telling-truth\", 7]... | {"split": "train", "index": 13341} |
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, Liam, James, Charlotte, Chloe, Michael, Scarlett, Aria, and Joseph. \"Liam is a knight if and only if ((Liam is a knave) and James is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 8, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 2]]], [\"not\", [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 0]]]], [\"not\", [\"or\", [\"->\", [\"telling-truth... | {"split": "train", "index": 13342} |
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, Zoey, Alexander, Liam, Avery, Amelia, Ella, Emma, and Jackson. \"Emma is a devil\" - Luke. Zoey said, \"((Jackson is a devil or Luke is a devil) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 9, \"statements\": [[\"lying\", 7], [\"<=>\", [\"and\", [\"or\", [\"lying\", 8], [\"lying\", 0]], [\"and\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 8], [\"not\", [\"lying... | {"split": "train", "index": 13343} |
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, Liam, Aria, Grace, Joseph, William, Evelyn, Scarlett, and Alexander. In a statement by Harper: \"if ((Evelyn is a pioneer and Grace is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 10, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3]], [\"->\", [\"lying\", 5], [\"lying\", 4]]], [\"telling-truth\", 0]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]... | {"split": "train", "index": 13344} |
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, Chloe, Grace, Alexander, Samuel, Jacob, Mia, Harper, and Jack. Olivia expressed that Chloe is a fool. In Chloe's words: \"((if Harper is a fool the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 11, \"statements\": [[\"lying\", 1], [\"<=>\", [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 8]], [\"or\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"telling-truth\", 6]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 13345} |
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, Zoey, James, Aiden, Luke, David, Chloe, and Sofia. In Harper's words: \"((Emma is a fool) or Aiden is a fool) if and only if ((Harper is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 12, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 4]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"->\", [\"... | {"split": "train", "index": 13346} |
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: Riley, Sebastian, Alexander, Sophia, Sofia, Zoey, Ava, Aiden, and Ella. Riley commented, \"if ((Zoey is an altruist or Sofia is an altruist) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 13, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 5]], [\"and\", [\"->\", [\"<=>\", [\"lying\", 0],... | {"split": "train", "index": 13347} |
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: Jackson, Ethan, Emma, Grace, Riley, Daniel, Sophia, Aurora, and Joseph. Jackson stated, \"Aurora is a saint\". \"Daniel is a sinner,\" Ethan claimed.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 14, \"statements\": [[\"telling-truth\", 7], [\"lying\", 5], [\"or\", [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 7], [\"lying\"... | {"split": "train", "index": 13348} |
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: Matthew, James, Henry, Emma, Alexander, Olivia, Scarlett, Emily, and Aiden. Matthew said that Emily is an angel. In James's words: \"it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 15, \"statements\": [[\"telling-truth\", 7], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 1]], [\"<=>\", [\"lying\", 7]... | {"split": "train", "index": 13349} |
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, Michael, Sebastian, Henry, Avery, Emma, Harper, Sophia, and Jack. Noah said, \"Avery is a devil.\" Michael told you that Avery is a devil. Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 16, \"statements\": [[\"lying\", 4], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 3]], [\"not\", [\"telling-truth\", 6]]]], [\"or\", [\"not\", [\"te... | {"split": "train", "index": 13350} |
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, Daniel, Aria, Elizabeth, Sebastian, Aiden, Matthew, Mia, and Oliver. Owen said, \"Sebastian is a sage.\" Daniel noted, \"it is not the case that ((Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 17, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 7]]]], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\... | {"split": "train", "index": 13351} |
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: Matthew, William, Daniel, Noah, Amelia, Zoey, Harper, Liam, and Olivia. Matthew noted, \"if ((Olivia is a knight if and only if Zoey is a knight) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 18, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"or\", [\"or\", [\"lying\", 5], [\"lying\", 6]], [\"or\", [\"telling-trut... | {"split": "train", "index": 13352} |
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: Sofia, Scarlett, Abigail, Aiden, Mason, Chloe, Victoria, Jackson, and Emily. As Sofia put it, \"(it is not the case that (Abigail is a fool if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 19, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]]]], [\"or\", [\"and\", [\"not\", [\"tell... | {"split": "train", "index": 13353} |
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: Henry, Elizabeth, Zoey, Oliver, Riley, Sofia, Jack, Matthew, and Harper. As Henry put it, \"((Jack is a fool or Henry is a sage) and (Oliver is a sage or R... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 20, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]... | {"split": "train", "index": 13354} |
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: Oliver, Elizabeth, Chloe, Owen, Noah, Henry, Harper, Logan, and Sophia. \"((if Owen is a laggard then Elizabeth is a pioneer) or (Sophia is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 21, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"not\", [\"telling-truth\", 5]]], [\"lying\", 4], [\"not\", [\"and\", [\"<=>\", [\... | {"split": "train", "index": 13355} |
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: David, Mason, Samuel, Abigail, Grace, Harper, Luke, Logan, and Charlotte. In David's words: \"(if Logan is a knave then (Abigail is a knight if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 22, \"statements\": [[\"and\", [\"->\", [\"lying\", 7], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 1]]], [\"and\", [\"lying\", 5], [\"->\", [\"t... | {"split": "train", "index": 13356} |
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, Ava, Zoey, Noah, Mia, Michael, Benjamin, Henry, and Jack. \"Ava is an altruist and ((Mia is an egoist or Noah is an egoist) and (Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 23, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0]]]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"tel... | {"split": "train", "index": 13357} |
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, Mia, Sophia, Benjamin, Zoey, Avery, Sebastian, Lily, and Owen. Michael said that ((Sebastian is a knight and Benjamin is a knight) or Lily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 24, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 7]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"->\", [\"<=>\", [\"not\", [\"lying\",... | {"split": "train", "index": 13358} |
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: Lily, Daniel, Matthew, Harper, William, Joseph, Jackson, Ava, and Mia. \"it is not the case that (if (Harper is an egoist if and only if Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 25, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]]]], [\"and\", [\"lying\", 5], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 8]], [\"<=>\", [\... | {"split": "train", "index": 13359} |
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, Chloe, Samuel, Henry, Lucas, Grace, Jackson, Amelia, and Sophia. According to Benjamin, \"((Amelia is a knave if and only if Samuel is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 26, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 6]]]], [\"->\", [\"<=>\", [\"an... | {"split": "train", "index": 13360} |
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: Lucas, Luke, Michael, Alexander, Sofia, Zoey, Aurora, Isabella, and Olivia. \"(Michael is a saint) or ((Michael is a sinner) if and only if Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 27, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"not\", [\"->\", [\"not\", [\"tell... | {"split": "train", "index": 13361} |
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: Victoria, Alexander, Aurora, Liam, Matthew, Olivia, Harper, David, and Joseph. \"David is a devil if and only if ((Olivia is an angel or Matthew is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 28, \"statements\": [[\"<=>\", [\"lying\", 7], [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"telling-truth\", 3], [\"and\", [\"<=>\", [\"telling-trut... | {"split": "train", "index": 13362} |
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: Luke, Aurora, Aria, Scarlett, Emily, Sebastian, Zoey, Grace, and Henry. In Luke's words: \"(Henry is a laggard if and only if Sebastian is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 29, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 5]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]]]], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\... | {"split": "train", "index": 13363} |
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: Jacob, Mason, Isabella, Ella, Daniel, Riley, William, Amelia, and Alexander. According to Jacob, \"((Daniel is a devil if and only if Alexander is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 30, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"lying\", 2]], [\"not\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]... | {"split": "train", "index": 13364} |
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: Jacob, Owen, Luke, Evelyn, Scarlett, Grace, Emily, Ella, and Jackson. Jacob said that ((if Evelyn is a laggard then Emily is a pioneer) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 31, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 6]], [\"and\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"telling-truth\", 6]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"tel... | {"split": "train", "index": 13365} |
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, Benjamin, Emma, Joseph, Olivia, Ava, Mia, David, and Riley. Abigail commented, \"(it is not the case that (David is a fool and Emma is a fool)) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 32, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 7], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"telling-truth\", 5], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [... | {"split": "train", "index": 13366} |
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: Zoey, Ava, Liam, Logan, Elizabeth, Benjamin, Joseph, Luke, and Oliver. In Zoey's words: \"((Logan is a villain if and only if Oliver is a villain) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 33, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 1]], [\"telling-truth\", 8], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-tru... | {"split": "train", "index": 13367} |
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, Jackson, Jacob, Michael, Mia, David, Grace, William, and Joseph. Ella said that (Joseph is a laggard) if and only if ((Mia is a laggard o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 34, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 7]], [\"or\", [\"lying\", 6], [\"telling-truth\", 2]]]], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"t... | {"split": "train", "index": 13368} |
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, Alexander, Lucas, Luke, Liam, Oliver, Isabella, Mia, and Aria. \"if ((if Alexander is a fool then Liam is a sage) if and only if (if Aria is a fool t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 35, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 8]], [\"not\", [\"telling-tru... | {"split": "train", "index": 13369} |
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: Sebastian, Grace, Amelia, Alexander, Joseph, Ava, Elizabeth, Michael, and Charlotte. \"if ((Sebastian is an egoist) and (if Ava is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 36, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7]], [\"not\", [\"lying\", 7]]]], [\"not\", [... | {"split": "train", "index": 13370} |
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, Benjamin, Abigail, Samuel, Mia, Elizabeth, Sebastian, Emma, and Oliver. Grace was heard saying, \"it is not the case that ((Samuel is a fool and Abi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 37, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0]]]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 6]], [\"o... | {"split": "train", "index": 13371} |
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: Amelia, Jackson, Benjamin, Olivia, Sophia, Elizabeth, Lily, Emily, and Liam. \"if ((Emily is a pioneer and Olivia is a pioneer) and (Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 38, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"not\", [\"and\", [\"lying\",... | {"split": "train", "index": 13372} |
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: Sofia, Benjamin, Abigail, Mia, Jacob, James, Alexander, Evelyn, and Sophia. Sofia noted, \"Jacob is a knave\". Benjamin stated, \"(it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 39, \"statements\": [[\"lying\", 4], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 6], [\"telling-truth\", 4]]]], [\"<=>\", [\"and\", [... | {"split": "train", "index": 13373} |
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: Samuel, William, Scarlett, Avery, Henry, Sofia, Abigail, Matthew, and Luke. Samuel said that it is not the case that (it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 40, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 3]]]], [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", ... | {"split": "train", "index": 13374} |
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: Liam, Noah, David, Ava, Daniel, Amelia, Charlotte, Chloe, and William. Liam stated, \"((Charlotte is a sinner or David is a saint) or (David is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 41, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"and\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 7], [\"lying\", 1]]]], [\"telling-truth\", 7],... | {"split": "train", "index": 13375} |
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: Scarlett, Charlotte, Zoey, Sebastian, Joseph, Lucas, Avery, Noah, and Harper. \"it is not the case that ((Zoey is an angel or Avery is a devil) or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 42, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6]], [\"->\", [\"lying\", 6], [\"telling-truth\", 2]]]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\"... | {"split": "train", "index": 13376} |
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, Lily, Jackson, Mia, Samuel, Harper, Joseph, Aiden, and Liam. Charlotte was heard saying, \"it is not the case that (if (Lily is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 43, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 4]]]], [\"telling-truth\", 0], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"->\... | {"split": "train", "index": 13377} |
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: Mia, Luke, Isabella, Oliver, Riley, Zoey, Ava, Daniel, and Penelope. \"Luke is a sage if and only if ((Penelope is a sage) if and only if (if Riley is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 44, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"not\", [\"lying\", 8]], [\"->\", [\"lying\", 4], [\"lying\", 1]]]], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 1]], [\"and\", ... | {"split": "train", "index": 13378} |
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, Mason, Ava, Logan, Aurora, Liam, Sofia, Jacob, and Amelia. \"Liam is a devil,\" Emily claimed. Mason noted, \"(if (Jacob is a devil) then (Ava i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 45, \"statements\": [[\"lying\", 5], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"and\", [\"ly... | {"split": "train", "index": 13379} |
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, Grace, Mia, Evelyn, Luke, James, Daniel, Elizabeth, and Chloe. Harper said that it is not the case that (Chloe is a laggard if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 46, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 8], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"or\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 5], [\"lying\", 4]]... | {"split": "train", "index": 13380} |
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: Aurora, Avery, Abigail, Aiden, Alexander, Jack, Henry, Scarlett, and Joseph. Aurora commented, \"(it is not the case that (if Henry is an angel then Au... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 47, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]]], [\"->\", [\"and\", [\... | {"split": "train", "index": 13381} |
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: Aria, Elizabeth, Owen, Grace, Ethan, Riley, Luke, Lucas, and Logan. Aria stated, \"((Ethan is a hero or Aria is a hero) and (Lucas is a villain or Ar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 48, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 2],... | {"split": "train", "index": 13382} |
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: Owen, Sophia, Grace, Isabella, Luke, Lily, Harper, Jacob, and Ava. As Owen put it, \"Sophia is a saint\". Sophia said that Ava is a sinner and (if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 49, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"lying\", 8], [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 6]]]], [\"->\", [\"lying\", 7], [\"telling-truth\",... | {"split": "train", "index": 13383} |
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: Abigail, Benjamin, Emma, Mason, Aria, Ella, Zoey, Lily, and Ava. \"(it is not the case that (Zoey is an egoist)) and (Emma is an egoist if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 50, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"lying\", 2], [\"not\", [\"lying\", 7]]]], [\"->\", [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"telling-truth\", 3]],... | {"split": "train", "index": 13384} |
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: Elizabeth, Aurora, Zoey, Abigail, Sofia, Emily, Sophia, Olivia, and Ethan. \"((if Elizabeth is an altruist then Olivia is an egoist) and (Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 51, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"or\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 7]], [\"->\", [\"telling-truth... | {"split": "train", "index": 13385} |
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: Samuel, Michael, Chloe, Emma, Daniel, Evelyn, Jack, Noah, and William. Samuel said, \"it is not the case that ((Noah is a sinner if and only if Micha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 52, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\... | {"split": "train", "index": 13386} |
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: Henry, Riley, David, Jack, Owen, Harper, Mia, Aiden, and William. As Henry put it, \"Jack is a knight\". Riley commented, \"((Aiden is a knight and O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 53, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", ... | {"split": "train", "index": 13387} |
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: Noah, Victoria, Harper, Jackson, Lily, Grace, Mia, Emma, and Benjamin. Noah said, \"Benjamin is a hero.\" Victoria stated, \"it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 54, \"statements\": [[\"not\", [\"lying\", 8]], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7]]]], [\"or\", [\"or\", [\"->\", [\"lying\", ... | {"split": "train", "index": 13388} |
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, Ella, Aria, Elizabeth, Sebastian, Henry, Mia, Jacob, and Sophia. \"Henry is a fool\" - Grace. According to Ella, \"Elizabeth is a fool\". Aria told ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 55, \"statements\": [[\"lying\", 5], [\"lying\", 3], [\"and\", [\"and\", [\"telling-truth\", 6], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 6], [\"lyi... | {"split": "train", "index": 13389} |
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: Owen, Victoria, Sebastian, Jack, Charlotte, Matthew, Ella, Riley, and David. Owen noted, \"(it is not the case that (Riley is a hero)) or ((Ella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 56, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 7]]], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 4]], [\"lying\", 3]]], [\"telling-truth\", 7], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 13390} |
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, Jacob, Chloe, Ella, Harper, Avery, Benjamin, Noah, and Samuel. As Henry put it, \"it is not the case that ((Jacob is a sinner or Jacob is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 57, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 5]]]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6]], [\"lying\", 4]], [\"or\", [\"->\", [\"... | {"split": "train", "index": 13391} |
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: Olivia, David, Riley, Benjamin, Emily, Charlotte, Liam, Joseph, and Mason. \"((Liam is a devil if and only if Mason is a devil) if and only if (Emily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 58, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 13392} |
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: Emma, Lucas, Aiden, Harper, Jack, Sebastian, Jackson, Victoria, and Daniel. In Emma's words: \"((Harper is a devil if and only if Jackson is an angel) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 59, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 7]]]], [\"not\", [\"lying\",... | {"split": "train", "index": 13393} |
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: David, Emma, Ava, Ethan, Evelyn, Riley, Sebastian, Olivia, and Luke. According to David, \"(Ava is an egoist or (Olivia is an egoist and Ethan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 60, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"and\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 13394} |
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: Jack, Henry, Jackson, Zoey, Isabella, Michael, Abigail, Emily, and Sofia. According to Jack, \"(Isabella is an angel and (Abigail is an angel if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 61, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"or\", [\"lying\", 3], [\"or\", [\"telling-truth\", 5], [\"lying\", 3]]]], [\"not\", [\"or\", [\"or\", [\"te... | {"split": "train", "index": 13395} |
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: Riley, Alexander, Daniel, Jack, Michael, Oliver, Charlotte, Matthew, and William. Riley noted, \"(it is not the case that (if Alexander is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 62, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"<=>\", [\"->\", [\"... | {"split": "train", "index": 13396} |
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, Daniel, Mia, Logan, Lucas, Avery, Chloe, Liam, and Charlotte. Alexander noted, \"Liam is a knave or ((if Avery is a knight then Liam is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 63, \"statements\": [[\"or\", [\"lying\", 7], [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 7]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]]]], [\"<=>\", [\"lying\", 5], [\"->\", [\"or\", [\"telling-trut... | {"split": "train", "index": 13397} |
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: Sebastian, Sofia, Elizabeth, Joseph, Jacob, Ava, Henry, Mason, and Chloe. Sebastian expressed that ((Chloe is a knave if and only if Jacob is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 64, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 8], [\"lying\", 4]], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 1]]], [\"not\", [\... | {"split": "train", "index": 13398} |
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: Isabella, Harper, Amelia, Lucas, Logan, Lily, Chloe, Evelyn, and Elizabeth. \"(if Chloe is a knight then (if Lily is a knight then Lucas is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 65, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"or\"... | {"split": "train", "index": 13399} |
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