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 knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Harper, Sophia, Zoey, Samuel, Elizabeth, Logan, Luke, Mason, and Jack. Harper was heard saying, \"if ((Sophia is a knight and Samuel is a knight and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 522, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\"... | {"split": "train", "index": 18300} |
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: Scarlett, James, Emily, Zoey, Luke, Avery, Matthew, Elizabeth, and Aurora. Scarlett said, \"Elizabeth is a fool and ((Elizabeth is a fool and Avery is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 523, \"statements\": [[\"and\", [\"lying\", 7], [\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 5], [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"or\", [\"lying\", 7], [\"lying\", 3], [\"lying\", 2], [\"lying\", 8]]], [\... | {"split": "train", "index": 18301} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jack, Amelia, Avery, Lucas, Jackson, Lily, Samuel, Mia, and Oliver. According to Jack, \"if (it is not the case that (Oliver is a knight or Amelia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 524, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 1], [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 8], [\"or\", [\"lying\", 1], [\"lying\", 7], [... | {"split": "train", "index": 18302} |
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, Benjamin, Evelyn, Owen, David, Logan, Lucas, Liam, and Sofia. According to Sebastian, \"Owen is a knight\". Benjamin remarked, \"Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 525, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 0], [\"->\", [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth... | {"split": "train", "index": 18303} |
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, Olivia, Jack, Zoey, Alexander, Sebastian, William, and Elizabeth. Grace was heard saying, \"((Zoey is a sage and Jack is a sage and Sebastian ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 526, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 6], [\"lying\", 8]], [\"and\", [\"lying\", 6], [\"lying\", 3], [\"lying\", 7]], [\"<=>\", [\"lying\", 7], [\"lying\... | {"split": "train", "index": 18304} |
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: Isabella, Mason, Penelope, Oliver, Henry, Aria, Aiden, Jack, and Samuel. As Isabella put it, \"((if Aria is a villain then Samuel is a villain) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 527, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 8]], [\... | {"split": "train", "index": 18305} |
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, Matthew, William, Olivia, Jack, Ethan, Evelyn, Emma, and Grace. Aiden was heard saying, \"(Emma is a sage and (Ethan is a sage if and only if Grace ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 528, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"and\", [\"lying\", 6], [\"lying\", 5], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 6], [\"tell... | {"split": "train", "index": 18306} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jacob, Mia, Harper, Noah, Lily, Grace, Chloe, David, and James. Jacob said, \"(if (Lily is an altruist or David is an egoist) then (Lily is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 529, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling... | {"split": "train", "index": 18307} |
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, Oliver, Emily, Aurora, Riley, Ella, Jacob, Sebastian, and Olivia. As Aiden put it, \"Jacob is an egoist\". Oliver asserted: \"it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 530, \"statements\": [[\"lying\", 6], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\"... | {"split": "train", "index": 18308} |
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, Chloe, Michael, Victoria, Emily, Owen, Aria, Matthew, and Ethan. Oliver expressed that (if (if Matthew is an egoist then Aria is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 531, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 7], [\"lying\", 6]], [\"or\", [\"lying\", 2], [\"lying\", 5], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\"lying\", 7], [... | {"split": "train", "index": 18309} |
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, Mia, Scarlett, Avery, Jack, Amelia, Sebastian, Chloe, and Evelyn. \"Mia is a fool if and only if (if (Scarlett is a sage) then (Scarlett is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 532, \"statements\": [[\"<=>\", [\"lying\", 1], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 5]]]], [\"lying\", 3], [\"<=>\", [\"->\", [\"and\", [\"lying\", 0], [\"te... | {"split": "train", "index": 18310} |
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: Jack, Harper, Lily, Zoey, Liam, Penelope, Evelyn, Luke, and Charlotte. Jack was heard saying, \"if (Evelyn is a pioneer or (Luke is a laggard a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 533, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 6], [\"and\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 4]], [\"and\",... | {"split": "train", "index": 18311} |
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, Michael, Matthew, Ava, Daniel, Sebastian, Sofia, Henry, and Penelope. \"(if (Sebastian is a villain if and only if Ava is a villain) then Ab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 534, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"telling-truth\", 0]], [\"telling-truth\", 3], [\"lying\", 5]], [\"->\", [\"and\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 18312} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Chloe, Jacob, Zoey, Elizabeth, Joseph, James, Riley, Scarlett, and Mia. Chloe was heard saying, \"Zoey is a sinner\". Jacob said that it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 535, \"statements\": [[\"lying\", 2], [\"not\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 6], [\"telling-truth\", 5]]]], [\"and\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 8], [\"te... | {"split": "train", "index": 18313} |
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, Aurora, Riley, Jackson, Harper, Scarlett, Henry, Aria, and Grace. Emily told you that if (Riley is a knave and (Grace is a knave and Henry is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 536, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"and\", [\"lying\", 8], [\"lying\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]]],... | {"split": "train", "index": 18314} |
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: Michael, Aria, Owen, Ella, Olivia, Evelyn, Isabella, Victoria, and Chloe. As Michael put it, \"Victoria is a fool and ((Owen is a sage or Owen is a fool or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 537, \"statements\": [[\"and\", [\"lying\", 7], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"or\"... | {"split": "train", "index": 18315} |
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: Evelyn, Amelia, Ava, Emma, David, Jacob, Elizabeth, Sebastian, and Zoey. Evelyn said, \"((Evelyn is a sage if and only if Sebastian is a fool) or (David is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 538, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 7]], [\"and\", [\"lying\", 4], [\"lying\", 6]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5], [\"telling-truth\", 7], [\"telling... | {"split": "train", "index": 18316} |
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: Chloe, Scarlett, Abigail, Liam, Joseph, Ethan, Jackson, Riley, and Emily. Chloe asserted: \"Liam is a villain\". In a statement by Scarlett: \"if ((i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 539, \"statements\": [[\"lying\", 3], [\"->\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"telling-truth\", 5], [\"lying\", 8]], [\"<=>\", [\"telling... | {"split": "train", "index": 18317} |
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: Harper, William, Olivia, Lucas, Grace, Lily, Emily, Mason, and Henry. Harper stated, \"it is not the case that (it is not the case that (if Gra... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 540, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"->\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 18318} |
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, Sebastian, Daniel, Evelyn, David, Olivia, Michael, Elizabeth, and Penelope. Emily stated, \"(it is not the case that (Penelope is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 541, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1], [\"lying\", 8], [\"lying\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"telling-truth\", 2], [... | {"split": "train", "index": 18319} |
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: Liam, Aria, Sofia, Charlotte, Emily, Luke, Amelia, Aurora, and Grace. Liam said, \"if (if (Amelia is a knight if and only if Charlotte is a knave) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 542, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\"... | {"split": "train", "index": 18320} |
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: Benjamin, Lucas, Liam, Sophia, Scarlett, Aria, Oliver, Penelope, and James. Benjamin commented, \"((Benjamin is an altruist if and only if Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 543, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"or\", [\"lying\", 5], [\"telling-... | {"split": "train", "index": 18321} |
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, James, Abigail, Ethan, Evelyn, Daniel, Henry, Benjamin, and Luke. \"(it is not the case that (if Luke is an altruist then Henry is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 544, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 8]]]], [\"and\", [\"->\", [\"lying\", 4], ... | {"split": "train", "index": 18322} |
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: Jacob, Zoey, Noah, Matthew, Emily, Grace, Amelia, Sophia, and Aria. Jacob commented, \"Emily is a sage or (it is not the case that (Emily is a sage)) or (N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 545, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 8]]]], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\... | {"split": "train", "index": 18323} |
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: Sebastian, Emily, Oliver, Samuel, Joseph, Aurora, Sofia, Riley, and Liam. Sebastian noted, \"if Aurora is a pioneer then (if Sofia is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 546, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 6], [\"not\", [\"lying\", 7]]]], [\"telling-truth\", 3], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"lying\... | {"split": "train", "index": 18324} |
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: Jacob, Grace, Avery, Chloe, Ella, Abigail, Aiden, Scarlett, and Amelia. \"Amelia is a sage and Avery is a sage and (if (Grace is a sage and Amelia is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 547, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 8... | {"split": "train", "index": 18325} |
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, Abigail, Benjamin, Avery, Logan, Samuel, Jackson, Michael, and Aiden. \"((Avery is an angel) and (Benjamin is an angel or Jackson is an angel) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 548, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]],... | {"split": "train", "index": 18326} |
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, Mia, Avery, Henry, Scarlett, Isabella, Evelyn, Daniel, and Abigail. \"((Abigail is a villain and Avery is a villain and Isabella is a hero and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 549, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 2], [\"telling-truth\", 5], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 5], [\"telling-truth\", 3], [\... | {"split": "train", "index": 18327} |
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: David, Harper, Chloe, Logan, Sebastian, Samuel, Daniel, Emily, and Ella. \"if (David is an angel if and only if (Chloe is a devil if and only if Ella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 550, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 2], [\"lying\", 8]]], [\"<=>\", [\"lying\", 8], [\"and\", [\"lying\", 8], [\"lying\", 5], [\"lying\", 1], [\"telling-truth\", 0]]]], [\"not... | {"split": "train", "index": 18328} |
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: Emma, Chloe, Sebastian, Alexander, David, Mason, Isabella, Aria, and Emily. Emma was heard saying, \"(Alexander is a knight) and (it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 551, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8], [\"lying\", 1], [\"lying\", 7]], [\"or\", [\"telling-truth\",... | {"split": "train", "index": 18329} |
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, Aurora, Noah, Samuel, Logan, Olivia, Scarlett, Lucas, and Joseph. In a statement by Matthew: \"(if Olivia is a knight then (Samuel is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 552, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 7]]]], [\"not\", [\"or\", [\"->\", [\"lying\", 0], [\"... | {"split": "train", "index": 18330} |
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, Aria, Avery, Jacob, Henry, James, Lily, Isabella, and Aiden. \"((Lily is a sinner or Lily is a saint) if and only if (James is a sinner and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 553, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 6]], [\"and\", [\"lying\", 5], [\"telling-truth\", 5], [\"lying\", 8]]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"tell... | {"split": "train", "index": 18331} |
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, Aria, Avery, Emma, Luke, Zoey, Michael, Mason, and Mia. \"it is not the case that ((Luke is a villain) if and only if (Mason is a villain a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 554, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 7], [\"telling-truth\", 7], [\"lying\", 4]]]], [\"telling-truth\", 2], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"... | {"split": "train", "index": 18332} |
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, Chloe, Samuel, Henry, Joseph, Penelope, Benjamin, Lily, and Jack. William asserted: \"(it is not the case that (Henry is an angel if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 555, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"->\", [\"lying\", 3], [\"<=>\", [\"lying\", 4], [\"lying\", 6]]]], [\"telling-truth\", 2], [\"not\", [\"and\", [\"and\", [\"telli... | {"split": "train", "index": 18333} |
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: James, Aiden, Zoey, Sebastian, Michael, Aurora, Mason, Avery, and David. James stated, \"Zoey is a devil\". As Aiden put it, \"it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 556, \"statements\": [[\"lying\", 2], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 5], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"lying\... | {"split": "train", "index": 18334} |
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, Logan, Emma, Noah, William, Alexander, Lily, Zoey, and Charlotte. Victoria expressed that it is not the case that ((Lily is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 557, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"not\", [\"lying\", 0]]], [\"<=>\", [\"or\"... | {"split": "train", "index": 18335} |
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: Mason, Harper, Jackson, Charlotte, Alexander, Michael, Zoey, Aria, and Aiden. Mason told you that ((Alexander is a saint) and Jackson is a sinner and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 558, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 4]], [\"lying\", 2], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"telling... | {"split": "train", "index": 18336} |
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, James, Harper, Avery, Liam, Daniel, Matthew, Mia, and Aria. As Henry put it, \"if ((James is a sinner) and (Harper is a saint or Matthew is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 559, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6], [\"lying\", 4]]], [\"lying\", 8]], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8]... | {"split": "train", "index": 18337} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Matthew, Lily, Evelyn, Penelope, Mia, Sophia, Emily, Emma, and Aria. Matthew noted, \"if (it is not the case that (Penelope is an egoist)) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 560, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]]], [\"and\", [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"o... | {"split": "train", "index": 18338} |
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: Noah, Jack, Scarlett, Zoey, Benjamin, Charlotte, Victoria, James, and Sophia. In Noah's words: \"(it is not the case that (Victoria is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 561, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"->\", [\"->\", [\"lying\", 7], [\"lying\", 6]], [\"not\", [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 18339} |
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, Avery, Sophia, Daniel, Mia, Evelyn, Henry, Riley, and Emma. In a statement by Lucas: \"((Mia is an angel if and only if Daniel is a devil) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 562, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-tr... | {"split": "train", "index": 18340} |
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: Sebastian, Abigail, William, Emma, Elizabeth, Oliver, Daniel, Jack, and Samuel. \"((William is a saint if and only if Abigail is a saint) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 563, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 2]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 5]]], [\"or\", [\"->\", [\"<=>\", [... | {"split": "train", "index": 18341} |
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, Sebastian, Owen, Michael, Mason, William, Benjamin, Luke, and Lucas. Zoey was heard saying, \"it is not the case that (if (William is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 564, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", ... | {"split": "train", "index": 18342} |
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: Emily, Lily, Zoey, Sebastian, Chloe, Aurora, William, Mia, and James. In a statement by Emily: \"(if (if Emily is a pioneer then Lily is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 565, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 7], [\"not\", [\"lying\", 6]]], [\"lying\", 7], [\"->\", [\"or\", [\"t... | {"split": "train", "index": 18343} |
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, Logan, Noah, Charlotte, Ella, Penelope, Mia, Matthew, and Owen. Isabella noted, \"it is not the case that (it is not the case that (Owen is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 566, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]]]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7], [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 6], [\"... | {"split": "train", "index": 18344} |
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: Aurora, Isabella, Charlotte, Mason, Aiden, Victoria, Mia, Harper, and William. Aurora said, \"((Mason is a knave and Aurora is a knight and Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 567, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 8]], [\"telling-truth\", 0], [\"not\", [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 4], [\"ly... | {"split": "train", "index": 18345} |
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, James, William, Samuel, Chloe, Abigail, Sophia, Isabella, and Evelyn. In Owen's words: \"((James is a sage) and Sophia is a sage and Sophia is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 568, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 6], [\"lying\", 6]], [\"and\", [\"->\", [\"lying\", 7], [\"lying\", 1]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 18346} |
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: Grace, Evelyn, Harper, Matthew, Avery, Elizabeth, Amelia, Scarlett, and Zoey. Grace said, \"Zoey is a hero.\" Evelyn expressed that Scarlett is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 569, \"statements\": [[\"not\", [\"lying\", 8]], [\"lying\", 7], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 1], [\"telling-truth\", ... | {"split": "train", "index": 18347} |
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: Zoey, David, Jack, Ethan, Aiden, Owen, Samuel, Emma, and Emily. Zoey remarked, \"(it is not the case that (Ethan is a sage if and only if Owen is a sage)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 570, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"telling-truth\", 5], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 8], [\"telling-truth\", 5]], [\"not\", [\"t... | {"split": "train", "index": 18348} |
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, Emma, Michael, Mia, Ava, Sebastian, Logan, Grace, and Victoria. Charlotte told you that (if Charlotte is a saint then (Sebastian is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 571, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"or\", [\"lying\",... | {"split": "train", "index": 18349} |
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, Elizabeth, Aiden, Abigail, Olivia, Aurora, Ava, Isabella, and Logan. Benjamin said, \"it is not the case that (it is not the case that (Abi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 572, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]]]], [\"not\", [\"lying\", 5]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"<=>... | {"split": "train", "index": 18350} |
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, Ava, Owen, Henry, Daniel, Victoria, Emma, Olivia, and Luke. Aurora told you that ((Olivia is an angel if and only if Aurora is an angel) and Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 573, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"lying\", 4], [\"and\", [\"lying\", 4], [\"lying\", 5], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 0],... | {"split": "train", "index": 18351} |
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: Grace, Daniel, Alexander, Mia, Scarlett, Aiden, Sebastian, Lily, and Logan. According to Grace, \"(it is not the case that (Logan is a devil)) or (if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 574, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 8]], [\"or\", [\"lying\", 2], [\"lying\", 8]]], [\"tell... | {"split": "train", "index": 18352} |
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, Liam, Luke, Amelia, Charlotte, Matthew, Mia, Alexander, and William. Ethan noted, \"Matthew is a fool or (Alexander is a fool and (Mia is a fool if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 575, \"statements\": [[\"or\", [\"lying\", 5], [\"and\", [\"lying\", 7], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"and\", [\"and\", [\"lying\", 8], [\"telling-tru... | {"split": "train", "index": 18353} |
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: Benjamin, Oliver, Lucas, Emma, Harper, Scarlett, Luke, Logan, and David. Benjamin expressed that ((Emma is an angel if and only if David is an angel) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 576, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"and\", [\"lying\", 8], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"... | {"split": "train", "index": 18354} |
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: Michael, Jack, Lucas, Scarlett, David, Riley, Charlotte, Liam, and Sofia. \"if (it is not the case that (Charlotte is a hero and Sofia is a hero and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 577, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8], [\"lying\", 5], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\",... | {"split": "train", "index": 18355} |
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: Sebastian, Emma, Sophia, Scarlett, Samuel, Emily, Jack, Joseph, and Noah. Sebastian said that (Emily is a laggard and (Sophia is a pioneer or S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 578, \"statements\": [[\"and\", [\"and\", [\"lying\", 5], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 7], [\"lying\", 2], [\"lying\", 6], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 7], [\... | {"split": "train", "index": 18356} |
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, Sofia, Joseph, Ethan, Scarlett, Henry, Lucas, Lily, and Samuel. \"if ((Joseph is a knight) if and only if (Joseph is a knight or Lily is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 579, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 5], [\"ly... | {"split": "train", "index": 18357} |
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, Henry, William, Evelyn, Sophia, Aiden, Elizabeth, Charlotte, and Owen. Abigail was heard saying, \"((Evelyn is a sage or Henry is a fool or Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 580, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 7]], [\"not\", [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5]], [\"tell... | {"split": "train", "index": 18358} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Evelyn, Scarlett, Samuel, Victoria, Amelia, Logan, Henry, Grace, and Sebastian. Evelyn said that it is not the case that (Victoria is an angel). Scarle... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 581, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 7], [\"lying\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"t... | {"split": "train", "index": 18359} |
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: Evelyn, Amelia, David, Jackson, Zoey, Aurora, Aria, Benjamin, and Jack. According to Evelyn, \"if (it is not the case that (Amelia is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 582, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 8]]]], [\"lying\", 7... | {"split": "train", "index": 18360} |
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, Ella, Matthew, Aurora, Harper, Chloe, Sofia, Riley, and Noah. According to Mia, \"Aurora is a sinner\". Ella commented, \"((Sofia is a sinner) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 583, \"statements\": [[\"lying\", 3], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 7]], [\"->\", [\"t... | {"split": "train", "index": 18361} |
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: Avery, William, Amelia, Grace, Michael, Lily, Owen, Ava, and Noah. Avery told you that (Avery is a pioneer if and only if (if Michael is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 584, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [... | {"split": "train", "index": 18362} |
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: David, Abigail, Victoria, Ethan, Liam, Lucas, Emily, Charlotte, and Ella. David expressed that it is not the case that (Ethan is an angel or (Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 585, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"lying\", 7]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7], [\"lying\", 2], [\"lying\... | {"split": "train", "index": 18363} |
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, David, Henry, Liam, Samuel, Elizabeth, Penelope, Lucas, and Logan. Amelia said, \"it is not the case that ((Elizabeth is an altruist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 586, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 6]], [\"lying\", 8], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]]], [\"<=>\", [\"not\",... | {"split": "train", "index": 18364} |
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, Zoey, Amelia, Victoria, Isabella, Joseph, Owen, Henry, and Alexander. Charlotte expressed that it is not the case that ((Alexander i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 587, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 8], [\"lying\", 7]]]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 7]]], [\"or\", [\"->\", [\"or\", [\"lying... | {"split": "train", "index": 18365} |
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, Lily, Joseph, Riley, Luke, Alexander, Scarlett, Emily, and Evelyn. Daniel commented, \"it is not the case that ((Scarlett is a devil) or (Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 588, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"and\", [\"lying\", 7], [\"lying\", 5]]]], [\"t... | {"split": "train", "index": 18366} |
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: Daniel, Henry, Owen, Mia, Sophia, Zoey, Aria, Scarlett, and Jackson. Daniel told you that (it is not the case that (if Daniel is a pioneer then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 589, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 5]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]... | {"split": "train", "index": 18367} |
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: Ava, Penelope, Noah, Luke, Alexander, Emily, Harper, Jacob, and Evelyn. \"if Noah is a laggard then Evelyn is a pioneer\" - Ava. Penelope asser... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 590, \"statements\": [[\"->\", [\"lying\", 2], [\"telling-truth\", 8]], [\"lying\", 4], [\"->\", [\"telling-truth\", 2], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"not\", [\"telling-truth\", 0]]]], [\"lying\... | {"split": "train", "index": 18368} |
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, Emily, Penelope, Olivia, Riley, Joseph, Avery, Benjamin, and Sofia. Jackson said, \"Penelope is a villain.\" Emily remarked, \"(Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 591, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"lying\", 7], [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 7... | {"split": "train", "index": 18369} |
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: Joseph, William, Elizabeth, Grace, Mia, David, Zoey, Aria, and Jacob. \"if ((William is an altruist or Zoey is an altruist or Aria is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 592, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"lying\", 7], [\"lying\", 8]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"telling-truth\", 5]], [\"and\", [\"and\"... | {"split": "train", "index": 18370} |
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, Jacob, Mia, Liam, Riley, Elizabeth, Amelia, Olivia, and Lily. David expressed that it is not the case that (it is not the case that (Riley is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 593, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 8]]]], [\"<=>\", [\"lying\", 5], [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]]], [... | {"split": "train", "index": 18371} |
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, Avery, Abigail, Scarlett, Matthew, Charlotte, Emily, Jack, and Samuel. Victoria was heard saying, \"Matthew is a sinner\". Avery said that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 594, \"statements\": [[\"lying\", 4], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"lying\", 6], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 18372} |
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, Daniel, Chloe, Luke, Isabella, Samuel, Ella, Grace, and Victoria. Zoey asserted: \"((Isabella is a hero or Daniel is a villain or Ella is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 595, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 6]], [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\"... | {"split": "train", "index": 18373} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Penelope, Michael, Aurora, Benjamin, Ella, Grace, Sophia, Logan, and Oliver. In Penelope's words: \"(it is not the case that (Michael is a devil or Log... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 596, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"lying\", 7], [\"lying\", 5]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4], [\"lying\"... | {"split": "train", "index": 18374} |
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, Benjamin, Penelope, Owen, Henry, Zoey, Ethan, Chloe, and David. Elizabeth told you that it is not the case that ((if Penelope is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 597, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]]], [\"not\", ... | {"split": "train", "index": 18375} |
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, David, Harper, Alexander, Ella, Evelyn, Sophia, Aiden, and Noah. Mia noted, \"Alexander is a knight\". In a statement by David: \"((Evelyn is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 598, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"t... | {"split": "train", "index": 18376} |
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: Penelope, Sophia, Victoria, Evelyn, Michael, Aiden, Grace, Zoey, and Harper. Penelope was heard saying, \"if (it is not the case that (Evelyn i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 599, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]]], [\"and\", [\"and\", [\"or\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 18377} |
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, Benjamin, James, Ella, Noah, Liam, Sofia, William, and Evelyn. Elizabeth said that if ((if James is a knight then Elizabeth is a knight) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 600, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 6]], [\"not\", [\"telling... | {"split": "train", "index": 18378} |
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, Logan, Liam, Henry, Mason, Lucas, Avery, Chloe, and Aurora. Jackson told you that Avery is a hero. Logan remarked, \"(Jackson is a hero) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 601, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 6], [\... | {"split": "train", "index": 18379} |
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: Chloe, Aurora, Victoria, Aria, Daniel, Alexander, Samuel, Noah, and Abigail. \"it is not the case that ((Samuel is a villain if and only if Chloe is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 602, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 7]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\"... | {"split": "train", "index": 18380} |
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: Avery, Lucas, Emily, Penelope, Sofia, David, Mia, Alexander, and William. Avery asserted: \"if (Penelope is a laggard if and only if (David is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 603, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 6], [\"lying\", 7]], [\"and\", [\"telling-truth\", 1], [\"lyin... | {"split": "train", "index": 18381} |
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, Amelia, Sophia, Riley, Ethan, Avery, Liam, Henry, and Daniel. \"it is not the case that (if (Ethan is a villain) then (if Ethan is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 604, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 3]]]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 18382} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Victoria, David, Avery, Evelyn, Sebastian, Lily, Charlotte, Emily, and William. Victoria said, \"(it is not the case that (Lily is a fool)) or ((Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 605, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4], [\"telling-truth\", 7], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"and\", [\... | {"split": "train", "index": 18383} |
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: Emily, Logan, Scarlett, Isabella, Penelope, Matthew, Avery, Benjamin, and Liam. According to Emily, \"Benjamin is a pioneer\". Logan stated, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 606, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 7], [\"telling-truth\", 5... | {"split": "train", "index": 18384} |
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, Ethan, Henry, Sophia, Emily, Penelope, Jacob, and Elizabeth. Emma stated, \"((Sophia is a devil or Ethan is a devil or Elizabeth is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 607, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 8], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 8]]], [\"lying\", 2]], [\"or\", [\"or\", [\"tell... | {"split": "train", "index": 18385} |
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: Ella, Aiden, Olivia, Liam, Isabella, Alexander, Lily, Daniel, and Jack. Ella said that ((Alexander is a knave and Daniel is a knight and Liam is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 608, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 7]], [\"and\", [\"telling-truth\", 7], [\"lying\", 8], [\"telling-truth\", 1]]],... | {"split": "train", "index": 18386} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jacob, Owen, Ella, Sophia, Elizabeth, Joseph, Abigail, Jack, and Jackson. As Jacob put it, \"((Jack is a knight if and only if Elizabeth is a knave) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 609, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"lying\", 5]], [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 8]... | {"split": "train", "index": 18387} |
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: Charlotte, Isabella, Harper, Luke, Aurora, Joseph, Alexander, Riley, and Emma. In a statement by Charlotte: \"(Luke is a knave) and (Joseph is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 610, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"and\", [\"telling-truth\", 1], [\"or\", [\"lying\", 5], [\"tel... | {"split": "train", "index": 18388} |
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, Logan, Ava, Harper, Lucas, Amelia, Sofia, Henry, and Noah. Ella commented, \"((Henry is a sinner or Noah is a sinner) and (Henry is a saint and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 611, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 7], [\"lying\", 8]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"lying\", 7], [\"telli... | {"split": "train", "index": 18389} |
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, Mia, Sebastian, Matthew, Scarlett, Amelia, Chloe, William, and James. Lucas was heard saying, \"((Lucas is a sage if and only if Matthew is a sage) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 612, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-... | {"split": "train", "index": 18390} |
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: Avery, Benjamin, Jacob, Victoria, Jack, Sofia, Scarlett, Aria, and Charlotte. \"if ((if Jack is a hero then Jacob is a villain) if and only if (Charl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 613, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"telling-truth\", 6], [\"->\", [\"lying\", 3], [\"telling-truth\", 6]]]], [\"<=>\", [\"or\", [\... | {"split": "train", "index": 18391} |
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: Avery, Elizabeth, Evelyn, Ella, Alexander, Noah, Ava, Abigail, and Harper. Avery noted, \"(if (Elizabeth is a hero and Noah is a villain) then (Abiga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 614, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 5]], [\"or\", [\"telling-truth\", 7], [\"lying\", 1], [\"lying\", 6], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 7]], [\"and\... | {"split": "train", "index": 18392} |
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, Daniel, Amelia, Sebastian, Riley, Charlotte, Abigail, Evelyn, and Oliver. Ella noted, \"if (it is not the case that (Evelyn is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 615, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 5], [\"lying\", 2]]]], [\"->\", [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 8], ... | {"split": "train", "index": 18393} |
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: Mason, Jackson, Ava, Abigail, Charlotte, Matthew, Henry, Olivia, and Emma. As Mason put it, \"if (if (if Olivia is a saint then Jackson is a sinner) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 616, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 1]], [\"and\", [\"lying\", 6], [\"lying\", 4], [\"telling-truth\", 6], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 6]], ... | {"split": "train", "index": 18394} |
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, Mason, Luke, Amelia, Liam, William, Grace, Penelope, and Emma. \"it is not the case that (if (Liam is a laggard) then Liam is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 617, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"lying\", 6]], [\"and\", [\"not\", [\"<=>\", [\"te... | {"split": "train", "index": 18395} |
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, James, Emma, Jackson, Charlotte, Emily, Benjamin, Noah, and Lucas. Lily remarked, \"Charlotte is an altruist if and only if ((Emma is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 618, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6], [\"lying\", 3], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 18396} |
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: Ava, Elizabeth, Jacob, Penelope, Henry, Avery, Lucas, Chloe, and Sebastian. As Ava put it, \"if ((Avery is a sage or Lucas is a sage or Penelope is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 619, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5], [\"telling-truth\", 6], [\"lying\", 1]]], [\"->\", [\"... | {"split": "train", "index": 18397} |
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: Noah, Oliver, Olivia, Jackson, Ava, Matthew, Grace, Ella, and Mason. Noah was heard saying, \"(if (if Oliver is an egoist then Grace is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 620, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7], [\"telling-truth\", 5], [\"tell... | {"split": "train", "index": 18398} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Zoey, Liam, Amelia, Jacob, Harper, Samuel, David, James, and Sofia. In a statement by Zoey: \"it is not the case that ((Liam is a pioneer and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 621, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 6], [\"... | {"split": "train", "index": 18399} |
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