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 sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Olivia, Sofia, Amelia, Aurora, Sebastian, Joseph, Michael, Ella, and Zoey. In a statement by Olivia: \"((Amelia is a fool if and only if Zoey is a sage) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1622, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"lying\", 6], [\"or\", [\"telling-truth\", 5], [\"lying\", 6], [\"->\",... | {"split": "train", "index": 19400} |
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: Mason, Isabella, Logan, Victoria, Emily, Mia, Jackson, William, and Abigail. According to Mason, \"if ((Jackson is a pioneer or Logan is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1623, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 2]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 8], [\"telling-truth\", 7]], [\"<=>\", [... | {"split": "train", "index": 19401} |
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, Ella, Daniel, Ava, Luke, Scarlett, Jackson, Oliver, and Sophia. As Lucas put it, \"Ella is a sage\". As Ella put it, \"Daniel is a fool\". Daniel sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1624, \"statements\": [[\"telling-truth\", 1], [\"lying\", 2], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"telling-truth\", 8]]]... | {"split": "train", "index": 19402} |
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: Charlotte, Benjamin, Zoey, Liam, Sofia, Abigail, Logan, Amelia, and David. Charlotte stated, \"Logan is a saint if and only if (if (Abigail is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1625, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"->\", [\"or\", [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 8], [\"lying\", 1]]]], [\"not\", [\"not\", [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 19403} |
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: Jackson, Avery, Lily, Evelyn, Grace, Joseph, Mia, William, and Chloe. Jackson commented, \"((Grace is an angel) if and only if William is an angel) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1626, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 7]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 7]]]], [\"not\", [\"not\", [\"and\", [\"telling-truth\", 7], [\"tell... | {"split": "train", "index": 19404} |
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: David, Samuel, Liam, William, Amelia, Aiden, Isabella, Ella, and Jack. \"((Samuel is a fool and Aiden is a sage and William is a fool and Aiden is a fool) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1627, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 5]], [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"t... | {"split": "train", "index": 19405} |
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: Samuel, Isabella, Riley, Olivia, Sebastian, Sophia, Henry, Alexander, and Avery. Samuel was heard saying, \"Henry is an altruist\". Isabella wa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1628, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"telling-truth\", 5], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"or\", [\"lying\", 6], [\"telling-truth\", 4]]]], [\"->\", [\... | {"split": "train", "index": 19406} |
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, Emily, Scarlett, William, Chloe, Avery, Charlotte, Samuel, and Lucas. \"((Avery is a laggard) if and only if Chloe is a laggard) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1629, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 4]], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 5]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]]]], [\"telling-truth\", 2... | {"split": "train", "index": 19407} |
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: Benjamin, Ethan, Penelope, Noah, Elizabeth, Chloe, Luke, William, and Olivia. \"William is a hero if and only if Elizabeth is a villain,\" Benjamin m... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1630, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"telling-truth\", 7], [\"lying\", 0]], [\"->\", [\"lying\", 7], [\"telli... | {"split": "train", "index": 19408} |
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, Victoria, Logan, Olivia, Samuel, Mason, Jack, Ava, and Harper. Abigail asserted: \"(if (Harper is a villain and Logan is a villain) then (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1631, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"->\", [\"lying\", 6], [... | {"split": "train", "index": 19409} |
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: Lucas, Sebastian, Ella, Aiden, Emma, Mason, Scarlett, Victoria, and Zoey. Lucas was heard saying, \"((Scarlett is a pioneer) if and only if (Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1632, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"lying\", 5], [\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 8]], [\"<=>\", [... | {"split": "train", "index": 19410} |
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: Mia, Oliver, William, Penelope, Liam, Grace, Noah, Isabella, and Michael. Mia expressed that (it is not the case that (Isabella is a saint if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1633, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 1]], [\"lying\", 8], [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 8], [\... | {"split": "train", "index": 19411} |
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: Daniel, Ava, Charlotte, Ella, Penelope, Lucas, Aurora, Jackson, and Avery. According to Daniel, \"(it is not the case that (Jackson is a sinner or Ch... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1634, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [... | {"split": "train", "index": 19412} |
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: Logan, Sophia, Avery, Jacob, Sebastian, Riley, Ethan, Aiden, and Lily. Logan commented, \"it is not the case that (Sebastian is a devil and (Jacob is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1635, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 8], [\"telling-truth\", 1]]]], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"->\", [\... | {"split": "train", "index": 19413} |
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: Avery, Noah, Evelyn, Luke, Lily, Michael, Joseph, Sofia, and Penelope. Avery said that Penelope is a knave. Noah told you that (it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1636, \"statements\": [[\"lying\", 8], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 4]], [\"and\", [\"not\", [\"lying\", 8]], [\"<=>\", [... | {"split": "train", "index": 19414} |
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, Sophia, James, Olivia, Michael, Emily, Alexander, Sofia, and Harper. Lily stated, \"if (if (Harper is a fool and Emily is a sage and James is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1637, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5], [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"telling-truth\", 1]], [\"->\", [\"and\",... | {"split": "train", "index": 19415} |
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: Scarlett, Amelia, Daniel, Emma, Aiden, Victoria, Abigail, Oliver, and Zoey. According to Scarlett, \"Zoey is a pioneer\". Amelia said, \"((Dani... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1638, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 5]]], [\... | {"split": "train", "index": 19416} |
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: Emma, Joseph, Liam, Michael, Logan, Emily, William, Elizabeth, and Olivia. Emma remarked, \"Michael is a sinner and Liam is a sinner\". Joseph was he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1639, \"statements\": [[\"and\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"->\", ... | {"split": "train", "index": 19417} |
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, Charlotte, Olivia, Sofia, Abigail, Grace, Mason, Evelyn, and Riley. \"(it is not the case that (Riley is a knave)) or (if (Evelyn is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1640, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 6], [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"o... | {"split": "train", "index": 19418} |
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, Evelyn, Ethan, Emily, Benjamin, Joseph, Mia, Elizabeth, and Avery. Owen said, \"((Mia is a knave or Ethan is a knight) if and only if (Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1641, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [... | {"split": "train", "index": 19419} |
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: Elizabeth, Luke, Daniel, Grace, Ethan, Jack, Harper, Ella, and Henry. \"it is not the case that ((if Jack is a fool then Ella is a sage) or (Daniel is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1642, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 7]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 8]], [\"not\", [\"->\", [\"lyin... | {"split": "train", "index": 19420} |
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, Ethan, Noah, Alexander, Victoria, Emma, Grace, Mia, and Charlotte. As James put it, \"Emma is a saint\". In Ethan's words: \"it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1643, \"statements\": [[\"not\", [\"lying\", 5]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6]]]], [\"telling-truth\", 2], [\"telling-t... | {"split": "train", "index": 19421} |
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, David, William, Luke, Emily, Jackson, Aiden, Aria, and Scarlett. \"((William is an angel) and (William is a devil if and only if Luke is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1644, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 3]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"lying\",... | {"split": "train", "index": 19422} |
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: Ella, Olivia, Logan, Victoria, William, Riley, Jacob, Lily, and David. Ella said, \"Lily is an altruist if and only if ((Riley is an egoist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1645, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5], [\"telling-truth\", 1], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"telling... | {"split": "train", "index": 19423} |
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, Samuel, Elizabeth, Oliver, David, Aurora, Sofia, Benjamin, and Emily. \"if (it is not the case that (if Aurora is a knight then Emily is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1646, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 1]], [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 7], [\"lying... | {"split": "train", "index": 19424} |
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: Emily, Harper, Zoey, Charlotte, Emma, Penelope, Mason, Jackson, and Samuel. Emily commented, \"Charlotte is a villain and ((Charlotte is a villain) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1647, \"statements\": [[\"and\", [\"lying\", 3], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 8], [\"->\", [\"lying\", 7], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 8], [\"telling... | {"split": "train", "index": 19425} |
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: Oliver, Abigail, Emma, Daniel, Ava, Jack, Penelope, Joseph, and Jacob. Oliver was heard saying, \"(Emma is a sage) if and only if (it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1648, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 7]]]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lyin... | {"split": "train", "index": 19426} |
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, Elizabeth, Benjamin, Avery, Samuel, Lucas, James, Olivia, and Penelope. As Aurora put it, \"Benjamin is an altruist\". Elizabeth told y... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1649, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 7], [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 6], [\"lying\", 3], [\"lying\", ... | {"split": "train", "index": 19427} |
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: Jackson, Amelia, Zoey, Liam, Lily, David, Noah, Victoria, and Luke. Jackson was heard saying, \"it is not the case that ((Jackson is a villain) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1650, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]], [\"lying\", 4], [\"not\", [\"lying\", 6]]]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 6], [... | {"split": "train", "index": 19428} |
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: David, Oliver, Henry, Aiden, Evelyn, Jackson, Penelope, Noah, and Ava. David expressed that if ((Jackson is a sage and David is a sage and Henry is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1651, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"->\", [\"lying\", 8], [\"telling-truth\", 5]], [\"not\",... | {"split": "train", "index": 19429} |
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: Aria, Amelia, Sophia, Chloe, Riley, Henry, Oliver, Ella, and Harper. In Aria's words: \"if (if (Oliver is a sinner or Amelia is a saint or Riley is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1652, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 8], [\"telling... | {"split": "train", "index": 19430} |
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, Harper, Luke, Avery, Henry, Liam, Jack, Amelia, and Elizabeth. Aria asserted: \"it is not the case that ((Luke is a villain if and only if Eliz... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1653, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 8]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]]], [\"not\", [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"and\", [\"telling-truth\", 1], ... | {"split": "train", "index": 19431} |
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, Lucas, Jackson, Matthew, Zoey, Charlotte, Abigail, Ella, and James. According to Lily, \"it is not the case that (Zoey is a fool or (Matthew is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1654, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 6], [\"telling-truth\", 7]]]], [\"not\", [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]],... | {"split": "train", "index": 19432} |
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: Charlotte, Matthew, Michael, Luke, Jacob, Mason, Owen, Emily, and Sofia. Charlotte said, \"if ((Sofia is a sinner and Michael is a sinner and Owen is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1655, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 2], [\"telling-truth\", 6], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-tru... | {"split": "train", "index": 19433} |
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: Chloe, Evelyn, Emma, Lily, Jack, Jackson, Alexander, Luke, and Victoria. Chloe stated, \"if Evelyn is a pioneer then ((Evelyn is a pioneer if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1656, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]]]], [\"lying\", 0], [\"not\", [\"or\", [\"->\", [\"t... | {"split": "train", "index": 19434} |
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, Jackson, Zoey, Chloe, Harper, Scarlett, Luke, Alexander, and Matthew. Sebastian commented, \"((Zoey is a sage and Alexander is a fool and Harper... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1657, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7], [\"lying\", 4], [\"lying\", 5]], [\"and\", [\"lying\", 1], [\"lying\", 7]]], [\"and\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 4... | {"split": "train", "index": 19435} |
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: Ethan, Zoey, Henry, Samuel, Jackson, Elizabeth, Mason, Victoria, and Aurora. Ethan said that ((Zoey is a sage if and only if Ethan is a sage) and (Zoey is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1658, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5], [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"te... | {"split": "train", "index": 19436} |
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, Ava, Avery, Sebastian, Aurora, Jackson, Ella, Scarlett, and Chloe. \"(it is not the case that (Ella is a pioneer or Avery is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1659, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"lying\", 8], [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"telling-truth\", 6]]], ... | {"split": "train", "index": 19437} |
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, Jackson, Daniel, Michael, Elizabeth, Victoria, Ella, Ethan, and Alexander. Isabella stated, \"(it is not the case that (Elizabeth is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1660, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"lying\", 5]], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 4], [\"telling-tru... | {"split": "train", "index": 19438} |
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: Emma, Michael, Joseph, James, Jack, Noah, Matthew, Liam, and Sofia. Emma commented, \"James is a fool\". \"(if (James is a sage or Joseph is a sage or Sofi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1661, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"->\", [\"<=>\", ... | {"split": "train", "index": 19439} |
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: Amelia, Alexander, Aurora, Isabella, Emily, Noah, Lucas, Mason, and Riley. According to Amelia, \"if ((Alexander is an egoist) and (Mason is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1662, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 8]]], [\"lying\", 3]], [\"not\", [\"and\"... | {"split": "train", "index": 19440} |
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, Abigail, Olivia, Mia, Joseph, Victoria, Sofia, Scarlett, and Ava. As Amelia put it, \"((Ava is a villain or Olivia is a villain or Joseph is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1663, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"and\", [\... | {"split": "train", "index": 19441} |
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, Alexander, Aiden, Grace, Charlotte, Michael, Jacob, Liam, and Chloe. Benjamin stated, \"if ((Charlotte is a pioneer and Liam is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1664, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 7]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8]]... | {"split": "train", "index": 19442} |
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: Mia, Isabella, Abigail, Victoria, Sebastian, Matthew, Zoey, Owen, and Sophia. \"if ((if Victoria is a sinner then Matthew is a sinner) or (Victoria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1665, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 5], [\"lying\", 2]]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"and\", [\"telling-t... | {"split": "train", "index": 19443} |
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, Lucas, Mia, Emma, Noah, Logan, Scarlett, Grace, and Joseph. Amelia said, \"((Lucas is a fool and Logan is a sage) if and only if (if Mia is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1666, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 5]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 3], [\"telling-truth\", 7]], [\"tel... | {"split": "train", "index": 19444} |
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: Jack, Henry, Michael, Liam, Benjamin, Harper, Avery, David, and Ava. Jack noted, \"Harper is an egoist\". Henry stated, \"(if (Jack is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1667, \"statements\": [[\"not\", [\"telling-truth\", 5]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]], [\"lying\", 4]], [\"telling-truth\", 6], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-trut... | {"split": "train", "index": 19445} |
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, Ethan, Chloe, Emily, Mia, Logan, Jack, Joseph, and Aria. Scarlett said that Mia is a knight. \"(if (Aria is a knight if and only if Scarlet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1668, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"or\"... | {"split": "train", "index": 19446} |
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: Harper, Jack, Jackson, Jacob, Ethan, Aurora, Aiden, Samuel, and Charlotte. \"if (Jack is a saint) then Jackson is a saint\" - Harper. In Jack's words... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1669, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 7]]]], [\"... | {"split": "train", "index": 19447} |
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, Mason, Aiden, Sophia, Luke, Daniel, Lily, Grace, and Emma. Aurora remarked, \"if (if (Aiden is a devil) then (if Mason is a devil then Luke is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1670, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 5], [\"lying\", 3]]], [\"or\", [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 8... | {"split": "train", "index": 19448} |
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: Amelia, Olivia, Alexander, Noah, Benjamin, Harper, Samuel, Sophia, and Jackson. Amelia told you that if ((if Olivia is a saint then Samuel is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1671, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 6]], [\"->\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"->\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 1], [\"lying\", 6... | {"split": "train", "index": 19449} |
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, Michael, Liam, Lucas, Joseph, Sophia, Matthew, Sofia, and Aria. \"(if (Joseph is an angel if and only if Matthew is a devil) then (Sophia is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1672, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"and\", [\"lying\", 5], [\"lying\", 4]]], [\"telling-truth\", 8]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", ... | {"split": "train", "index": 19450} |
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: Amelia, Jack, Samuel, Ava, Aurora, Benjamin, Lily, Elizabeth, and Harper. \"if (Elizabeth is a knight and (if Ava is a knight then Aurora is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1673, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 7], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 8]]], [\"->\", [\"lying\", 1], [... | {"split": "train", "index": 19451} |
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, Joseph, Sophia, Elizabeth, Isabella, Riley, Emily, Sofia, and Sebastian. \"((Joseph is a sage and Riley is a fool) or (Sophia is a fool) or (Riley ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1674, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 5]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 6], [\"telling-truth\", 4]]], [\"<=>... | {"split": "train", "index": 19452} |
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: Mia, Matthew, Jack, Luke, Isabella, Sophia, Aiden, Emily, and Scarlett. \"if ((Sophia is a knave if and only if Aiden is a knave) or (if Isabella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1675, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 8]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]... | {"split": "train", "index": 19453} |
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: Isabella, Mia, Penelope, Henry, Logan, Ethan, Harper, Aria, and Grace. Isabella expressed that Aria is a pioneer. In a statement by Mia: \"(it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1676, \"statements\": [[\"not\", [\"lying\", 7]], [\"<=>\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 8]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"or\", [\"or\", [\"not\... | {"split": "train", "index": 19454} |
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: Aria, Logan, Jackson, Harper, Aurora, Matthew, Mia, Victoria, and Daniel. Aria told you 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\": 1677, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 6... | {"split": "train", "index": 19455} |
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, Emma, Grace, Riley, Abigail, Jacob, Ethan, Penelope, and Jackson. According to Benjamin, \"if ((Benjamin is a saint if and only if Emma is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1678, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"telling-truth\", 3]], [\"or\", [\"not\", [\"and\", [\"telling-t... | {"split": "train", "index": 19456} |
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, Penelope, Owen, Michael, Emily, Sebastian, Sofia, Grace, and Amelia. In James's words: \"((Amelia is an egoist if and only if Emily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1679, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 8], [\"lying\", 2], [\"telling-truth\", 2]]], [\"lyin... | {"split": "train", "index": 19457} |
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, David, Aurora, Aria, Samuel, Mia, Aiden, Michael, and Oliver. Henry said, \"if (if (Aiden is a knave) then (Samuel is a knave or Michael is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1680, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 4], [\"lying\", 7], [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8]]... | {"split": "train", "index": 19458} |
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: Samuel, Jacob, Chloe, Avery, Michael, Ella, Benjamin, Zoey, and Victoria. Samuel said, \"((Chloe is a villain and Zoey is a hero and Avery is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1681, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 7], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"->\... | {"split": "train", "index": 19459} |
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: Michael, Chloe, Victoria, Olivia, Penelope, Isabella, Sebastian, Mason, and Avery. Michael said, \"if (Penelope is a sinner) then ((Chloe is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1682, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 3]]], [\"lying\", 7], [\"and\", [\"or... | {"split": "train", "index": 19460} |
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, Harper, Isabella, David, Emma, Mason, Penelope, Riley, and Ethan. James said, \"((Isabella is a sinner if and only if Emma is a saint) and Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1683, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 7]], [\"telling-truth\", 8]], [\"and\", [\"not\", [\"lying\", 6]], [\"lying\", 2], [\"telling-truth\", 2], [\"telling-tr... | {"split": "train", "index": 19461} |
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: Mia, Alexander, Logan, Isabella, Noah, Jackson, Chloe, Aiden, and Harper. As Mia put it, \"it is not the case that ((Isabella is a knight) or (Alexan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1684, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 19462} |
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: Ava, Sophia, Abigail, Henry, Zoey, Liam, Emily, Lily, and Mia. According to Ava, \"it is not the case that (it is not the case that (Henry is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1685, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]]]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 5]], [\"<=>\"... | {"split": "train", "index": 19463} |
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: Sebastian, Daniel, Alexander, Oliver, Jack, William, Chloe, Mia, and Harper. Sebastian expressed that (it is not the case that (Daniel is a devil and D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1686, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 6]]], [\"and\", [\"lying\", 1], [\"and\", [\"lying\", 1], [\"lying\", 6], [\"telling-truth\", 4]]]], [\"lying\", 8], [\"o... | {"split": "train", "index": 19464} |
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: James, Aria, Charlotte, Harper, Sebastian, Benjamin, Aiden, Logan, and Ava. \"if ((Aria is a knight) and (Ava is a knight and Aria is a knave and Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1687, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 8], [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8], [\"lying\", 4], [\"te... | {"split": "train", "index": 19465} |
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, Sofia, Henry, Harper, Penelope, James, Ethan, Evelyn, and Grace. Mason remarked, \"((Evelyn is an altruist) if and only if (Ethan is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1688, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8], [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 8], [\"and\", [\"not\", [\"telling-t... | {"split": "train", "index": 19466} |
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: Zoey, Abigail, Noah, David, Ethan, Aria, Sophia, Henry, and Penelope. \"Aria is a knave\" - Zoey. Abigail remarked, \"((Penelope is a knave and Aria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1689, \"statements\": [[\"lying\", 5], [\"<=>\", [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 8], [\"lying\", 7]], [\"not\", [\"lying\", 7]]], [\"telling-truth\", 8]], [\"or\", [\"not\", [\"or\", [\"... | {"split": "train", "index": 19467} |
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: Ava, Daniel, Aurora, Jack, Henry, Mason, James, Matthew, and Isabella. \"Mason is an egoist,\" Ava declared. Daniel told you that Henry is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1690, \"statements\": [[\"lying\", 5], [\"<=>\", [\"lying\", 4], [\"not\", [\"not\", [\"telling-truth\", 7]]]], [\"lying\", 7], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"<=>\",... | {"split": "train", "index": 19468} |
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: Abigail, William, Riley, Daniel, Chloe, Samuel, Elizabeth, Aurora, and Aiden. \"Riley is a knave,\" Abigail claimed. \"Daniel is a knight\" - William... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1691, \"statements\": [[\"lying\", 2], [\"telling-truth\", 3], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 7], [\"and\", [\"telling-truth\", 7], [\"lying\", 1], [\"lying... | {"split": "train", "index": 19469} |
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: Riley, Ella, Liam, Isabella, Victoria, Owen, Abigail, Avery, and Chloe. As Riley put it, \"((Liam is an angel and Avery is an angel and Owen is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1692, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7], [\"lying\", 5]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lyi... | {"split": "train", "index": 19470} |
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, Ethan, Abigail, Grace, Isabella, Chloe, Charlotte, Daniel, and James. Lucas asserted: \"if (if (Ethan is a saint or Grace is a saint) then (Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1693, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-t... | {"split": "train", "index": 19471} |
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, Sofia, Logan, Owen, Matthew, William, Abigail, Ethan, and Victoria. Isabella asserted: \"Ethan is a knave\". Sofia stated, \"Sofia is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1694, \"statements\": [[\"lying\", 7], [\"or\", [\"telling-truth\", 1], [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\"... | {"split": "train", "index": 19472} |
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: Jackson, Logan, William, Mia, Joseph, Lucas, Riley, Oliver, and Noah. \"it is not the case that ((Logan is a devil if and only if Joseph is a devil) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1695, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 5], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 19473} |
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: Liam, David, Henry, Aurora, Sebastian, Zoey, Grace, Aria, and Jacob. \"((Aurora is a hero if and only if Grace is a villain) if and only if (if Aria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1696, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"->\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"lying\", 8... | {"split": "train", "index": 19474} |
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: Chloe, Elizabeth, Penelope, Mason, Ava, Victoria, Lily, David, and Isabella. In a statement by Chloe: \"((Victoria is an angel if and only if Victoria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1697, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]], [\"<=>\", [\"lying\", 8], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]], [\"telling-truth\", 5], [\"a... | {"split": "train", "index": 19475} |
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: Luke, Chloe, Lily, James, Emma, Owen, Noah, Harper, and Elizabeth. Luke remarked, \"(if (Lily is a villain if and only if Emma is a villain) then (Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1698, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\... | {"split": "train", "index": 19476} |
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: Ella, Chloe, Isabella, Mason, Sophia, Alexander, Henry, Luke, and Ava. Ella remarked, \"(if (Chloe is a sinner if and only if Ava is a saint) then (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1699, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 0], [\"lying\", 8], [\"lying\", 6], [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"lying\", 8], [\"lying... | {"split": "train", "index": 19477} |
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: Mia, Penelope, David, Harper, Alexander, Samuel, Avery, Owen, and Victoria. Mia stated, \"it is not the case that ((Avery is a knave) and (Samuel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1700, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 5], [\"lying\", 8]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"lying\", 2]... | {"split": "train", "index": 19478} |
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: Mia, Sophia, Alexander, Emma, Olivia, Owen, Ava, Aria, and Mason. Mia remarked, \"Sophia is an altruist\". \"((Ava is an egoist) and (Aria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1701, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 7], [\"telling-truth\", 6]], [\"and\", [\"lying\", 8], [\"lying\", 5]]], [\"telling-truth\", 5]], [\"ly... | {"split": "train", "index": 19479} |
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: Olivia, Charlotte, Avery, Harper, Jackson, Jacob, Emily, Sophia, and Zoey. Olivia remarked, \"Olivia is a saint and ((Sophia is a saint if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1702, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 2], [\"t... | {"split": "train", "index": 19480} |
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: Liam, Henry, Emily, Isabella, Jack, Lily, Sebastian, Daniel, and Chloe. According to Liam, \"it is not the case that ((Daniel is an egoist or E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1703, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 7], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 1]]]], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"not\", [\"lying\", 7]]]], [\"and\", [\"->... | {"split": "train", "index": 19481} |
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: Aria, Ava, Amelia, Emily, Lily, Olivia, Charlotte, Jackson, and Oliver. Aria expressed that it is not the case that ((Oliver is a sage if and only if Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1704, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 5]], [\"<=>\",... | {"split": "train", "index": 19482} |
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, Daniel, Olivia, Noah, Lucas, James, Victoria, Riley, and Luke. Zoey stated, \"it is not the case that (it is not the case that (Luke is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1705, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 19483} |
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: Sophia, James, Zoey, Amelia, Aurora, Sebastian, Aiden, Luke, and Daniel. Sophia asserted: \"Daniel is a knight\". \"Zoey is a knight if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1706, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]], [\"lying\", 7], [\"->\", [\"lying\", 8], [\"lying\", 3]]]], [\"or\", [\"->\", [\"lying\", 1]... | {"split": "train", "index": 19484} |
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: Ella, James, Matthew, Luke, Jackson, Charlotte, Penelope, Aurora, and Grace. As Ella put it, \"(if Charlotte is a fool then (Grace is a fool or Aurora is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1707, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"or\", [\"lying\", 8], [\"lying\", 7], [\"lying\", 4]]], [\"telling-truth\", 4], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 3], [\"tellin... | {"split": "train", "index": 19485} |
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, Ethan, Sophia, Evelyn, Chloe, David, Jacob, Liam, and Joseph. \"((Evelyn is an altruist if and only if Joseph is an altruist) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1708, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"telling-truth\", 6]], [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]], [\"->\... | {"split": "train", "index": 19486} |
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: Emily, Lily, Sophia, Luke, Olivia, Joseph, Henry, Alexander, and Jack. In Emily's words: \"((Alexander is a knave if and only if Henry is a knave) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1709, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]], [\"->\", [\"lying\", 6], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 19487} |
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, Alexander, Avery, Emma, James, Lucas, Mason, Samuel, and Liam. Michael asserted: \"it is not the case that (James is a knave or (if Mason is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1710, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"->\", [\"lying\", 6], [\"telling-truth\", 1]]]], [\"lying\", 2], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"->\", [\"<=>\", [\"lying\"... | {"split": "train", "index": 19488} |
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: Olivia, Evelyn, David, Mia, Aurora, Noah, Jack, Oliver, and Harper. Olivia noted, \"((if Mia is a knight then Jack is a knight) if and only if (if No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1711, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"lying\", 5], [\"lying\", 8]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1],... | {"split": "train", "index": 19489} |
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: Matthew, Ethan, Penelope, Amelia, Sofia, Alexander, Logan, Jack, and Aiden. \"((Matthew is a saint or Ethan is a sinner or Penelope is a saint or Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1712, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 4], [\"not\", [... | {"split": "train", "index": 19490} |
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: Sophia, Aiden, Aurora, Victoria, Luke, Mason, Evelyn, Avery, and Ava. In a statement by Sophia: \"(Victoria is a hero and (Victoria is a hero and Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1713, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 8], [\"lyi... | {"split": "train", "index": 19491} |
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: Luke, Alexander, Ella, Evelyn, Sofia, Benjamin, Aurora, Logan, and Jacob. Luke said, \"Sofia is a villain or ((Logan is a hero if and only if Aurora ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1714, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]]]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"or\", [\... | {"split": "train", "index": 19492} |
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: Zoey, Sophia, Alexander, Oliver, Mason, Daniel, Benjamin, Grace, and Jackson. Zoey stated, \"(it is not the case that (Oliver is a knight or Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1715, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 6]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 7... | {"split": "train", "index": 19493} |
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: Olivia, Oliver, Abigail, Sophia, Benjamin, Michael, James, Daniel, and Isabella. Olivia stated, \"James is an egoist\". According to Oliver, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1716, \"statements\": [[\"lying\", 6], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 7], [... | {"split": "train", "index": 19494} |
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: Emma, Victoria, Scarlett, Avery, Chloe, Liam, William, Sophia, and Harper. Emma told you that (Chloe is a hero or (Victoria is a villain if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1717, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 5]], [\"not\", [\"not\", [\"lying\", 1]]]], [\"lying\", 7], [\"->\", [\"not\", [\"lying\", 4]], [\... | {"split": "train", "index": 19495} |
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, Benjamin, Abigail, Aiden, Olivia, Daniel, Mia, Zoey, and Aurora. Matthew commented, \"it is not the case that (Olivia is a fool)\". Benjamin remar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1718, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 6], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying... | {"split": "train", "index": 19496} |
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, James, Emma, Aria, Isabella, Benjamin, Riley, Owen, and Alexander. Noah told you that ((Isabella is a knight or Emma is a knave or James is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1719, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 2],... | {"split": "train", "index": 19497} |
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: Ava, Ella, William, Victoria, David, Harper, Henry, Abigail, and Mia. Ava said that if ((Victoria is a villain if and only if Ella is a villain) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1720, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 7]], [\"or\", [\"lying\", 5], [\"telling-truth\", 3], [\"lying\", 7]], [\"not\", [\"telling-truth\", 3]]... | {"split": "train", "index": 19498} |
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: Aiden, Riley, Avery, Ella, Michael, Chloe, Grace, Ethan, and Amelia. Aiden said, \"((Ethan is an egoist if and only if Michael is an altruist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1721, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 8], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 19499} |
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