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: Michael, Alexander, Isabella, Aria, Amelia, Zoey, Ava, Noah, and Aurora. In Michael's words: \"Isabella is a knight\". Alexander remarked, \"(if Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1410, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"->\"... | {"split": "train", "index": 10300} |
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: David, William, Henry, Sophia, Harper, Elizabeth, Aiden, Sebastian, and Jack. David expressed that it is not the case that (Sophia is a sinner). \"(S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1411, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"lying\", 0]], [\"and\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 5], [\"or\", [... | {"split": "train", "index": 10301} |
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: Daniel, Ethan, Noah, Avery, Victoria, Lucas, Sofia, Jackson, and Olivia. \"(Victoria is a hero if and only if Lucas is a hero) and (Ethan is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1412, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"l... | {"split": "train", "index": 10302} |
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, Zoey, Owen, Emily, Abigail, Isabella, Aurora, Amelia, and Joseph. James told you that it is not the case that (Amelia is an egoist if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1413, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 10303} |
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, Mia, Zoey, Daniel, Elizabeth, Sophia, Samuel, Amelia, and Aiden. Penelope said, \"if Penelope is an altruist then (Mia is an egoist o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1414, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"or\", [\"lying\", 1], [\"lying\", 8], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"not\... | {"split": "train", "index": 10304} |
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, Samuel, Avery, Noah, Jack, Owen, Daniel, Abigail, and Amelia. Grace stated, \"Jack is a fool and (Abigail is a sage or Amelia is a sage)\". Samuel w... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1415, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 3], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 6]]], [\"or\"... | {"split": "train", "index": 10305} |
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, Logan, Isabella, Benjamin, Jack, Riley, Zoey, Olivia, and Oliver. \"(Olivia is a fool if and only if Isabella is a sage) if and only if (Zoey is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1416, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"telling-truth\", 6], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"tel... | {"split": "train", "index": 10306} |
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: Elizabeth, Lily, Evelyn, Benjamin, Olivia, Logan, Mason, Abigail, and Amelia. According to Elizabeth, \"Evelyn is an angel\". Lily said that if (Olivia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1417, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 6]], [\"lying\... | {"split": "train", "index": 10307} |
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, Charlotte, Benjamin, Jacob, Matthew, Joseph, Sophia, Jack, and Isabella. In Aria's words: \"it is not the case that (if Isabella is a villain t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1418, \"statements\": [[\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-tru... | {"split": "train", "index": 10308} |
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, Amelia, Luke, Daniel, Jackson, Mason, Chloe, Noah, and Matthew. \"(Amelia is a knight) if and only if (Amelia is a knave if and only if Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1419, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"lying\", 2], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 5], [\"lying\", ... | {"split": "train", "index": 10309} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lucas, Emily, Jackson, Charlotte, Alexander, Elizabeth, Riley, Zoey, and Sofia. Lucas told you that Alexander is a devil or Sofia is an angel or (Riley... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1420, \"statements\": [[\"or\", [\"lying\", 4], [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"->\", [\"not\", [\"... | {"split": "train", "index": 10310} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sofia, Daniel, Ava, Emma, Sebastian, Penelope, Amelia, William, and Jacob. Sofia noted, \"(Daniel is a saint) and (Emma is a saint) and Daniel is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1421, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 3]], [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 8], [\"lying\", 4... | {"split": "train", "index": 10311} |
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, Victoria, Sophia, Jackson, Lily, Aurora, Emma, Zoey, and Isabella. \"it is not the case that (Lily is an egoist)\" - Aiden. Victoria exp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1422, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"lyi... | {"split": "train", "index": 10312} |
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: Penelope, James, Avery, Daniel, Noah, Amelia, Luke, Jacob, and Benjamin. \"(if James is a knight then Benjamin is a knave) or (Amelia is a knight if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1423, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 4]], [\"telling-t... | {"split": "train", "index": 10313} |
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: Chloe, Jackson, Ella, Mason, Isabella, Michael, William, Emma, and Penelope. Chloe remarked, \"(Mason is an egoist or Penelope is an egoist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1424, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"lying\", 8], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 7]]], [\"lying\", 0], [\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 6]], [\"->\", [\"telling-tru... | {"split": "train", "index": 10314} |
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, Liam, Avery, Sebastian, Luke, Sofia, Aurora, Henry, and Ella. Aria noted, \"(Sebastian is a hero if and only if Liam is a hero) and (if Liam is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1425, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 7], [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\"... | {"split": "train", "index": 10315} |
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, Liam, Evelyn, Charlotte, Daniel, Scarlett, Olivia, and Mia. Sofia stated, \"if (Charlotte is an altruist if and only if Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1426, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 7], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]],... | {"split": "train", "index": 10316} |
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, Owen, Riley, Abigail, Logan, Jacob, Ella, Penelope, and Harper. Olivia noted, \"Abigail is a knave or (Jacob is a knight if and only if Ella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1427, \"statements\": [[\"or\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"not\", [\"lying\", 2]], [\"not\"... | {"split": "train", "index": 10317} |
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: Charlotte, Sofia, Avery, Scarlett, Daniel, Harper, Isabella, Emma, and Jacob. Charlotte expressed that (Harper is a villain) and (if Scarlett is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1428, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"... | {"split": "train", "index": 10318} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: James, Lily, Emma, Zoey, Olivia, Mason, Evelyn, Sebastian, and Liam. \"Liam is a hero,\" James declared. In a statement by Lily: \"(Sebastian is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1429, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]], [\"and\", [\"telling-truth\", 5], [\"lying\", 2]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-trut... | {"split": "train", "index": 10319} |
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: Evelyn, Chloe, Daniel, Elizabeth, Matthew, Oliver, Sebastian, Aurora, and Scarlett. Evelyn said that (Sebastian is a knave if and only if Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1430, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 4]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"or\... | {"split": "train", "index": 10320} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lily, Michael, Jacob, Mia, William, Joseph, Scarlett, Mason, and Liam. Lily said that Jacob is a pioneer. In Michael's words: \"(if Joseph is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1431, \"statements\": [[\"not\", [\"lying\", 2]], [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"telling-tr... | {"split": "train", "index": 10321} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Scarlett, Daniel, Liam, Mia, Isabella, Jack, Samuel, Jacob, and Oliver. Scarlett told you that if (Samuel is a hero if and only if Oliver is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1432, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 0], [\"lying\", 5], [\"not\", [\"lying\", 7]]], [\"not... | {"split": "train", "index": 10322} |
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, William, Alexander, Aria, Ava, James, Lucas, Jacob, and Olivia. \"(William is an angel if and only if Aria is an angel) and (Aria is an angel or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1433, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], ... | {"split": "train", "index": 10323} |
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: Aria, Lily, Lucas, Emma, Jacob, Ella, Noah, Michael, and Mia. As Aria put it, \"Ella is a knave\". In a statement by Lily: \"(Lucas is a knight and E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1434, \"statements\": [[\"lying\", 5], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 5]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], ... | {"split": "train", "index": 10324} |
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, Victoria, Logan, Mia, Emily, Ethan, Matthew, Sebastian, and Mason. Charlotte said, \"Victoria is a sinner.\" Victoria asserted: \"it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1435, \"statements\": [[\"lying\", 1], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 6]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"and\", [\"... | {"split": "train", "index": 10325} |
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, Scarlett, Penelope, Luke, Oliver, Mia, Ava, Liam, and Aria. Jacob told you that Liam is a pioneer. Scarlett stated, \"(if Oliver is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1436, \"statements\": [[\"not\", [\"lying\", 7]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"lying\", 5]], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"not\", [\"telling-truth\", 0]]], [\"<... | {"split": "train", "index": 10326} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jack, Emily, Aurora, Ella, Noah, Isabella, Owen, Lucas, and William. Jack asserted: \"(Ella is a hero or William is a villain or Noah is a hero) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1437, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 8], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 2]]], [\"lying\", 7], [\"not\", [\"telling-truth\", 5]], [\"not\"... | {"split": "train", "index": 10327} |
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, Aiden, William, Sebastian, Oliver, Samuel, Henry, Mason, and David. Ava stated, \"it is not the case that (Mason is an egoist or Oliver is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1438, \"statements\": [[\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 8], [\"telli... | {"split": "train", "index": 10328} |
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, Oliver, Chloe, Ethan, Mason, Riley, Aurora, Liam, and Aria. Ava remarked, \"Aurora is a hero if and only if (Riley is a villain or Chloe is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1439, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"or\", [\"lying\", 5], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 10329} |
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: Grace, Joseph, Jack, Liam, Jackson, Amelia, Elizabeth, Chloe, and Ava. Grace commented, \"(Grace is a pioneer or Liam is a laggard or Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1440, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 3], [\"telling-truth\", 1]], [\"or\"... | {"split": "train", "index": 10330} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jacob, Abigail, Ethan, Jack, William, Samuel, Mason, Emma, and Owen. In Jacob's words: \"if (Emma is an angel and William is an angel) then (Emma is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1441, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 10331} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Henry, Oliver, Emma, Ethan, Mia, Harper, Michael, Grace, and Elizabeth. Henry said, \"Oliver is a hero.\" In Oliver's words: \"Emma is a villain or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1442, \"statements\": [[\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]... | {"split": "train", "index": 10332} |
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: Elizabeth, Amelia, Sebastian, Jackson, Charlotte, Isabella, Aurora, Lily, and Riley. Elizabeth remarked, \"it is not the case that (Sebastian is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1443, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 10333} |
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, Emma, William, Mia, Oliver, Mason, Jacob, Elizabeth, and Amelia. \"Elizabeth is a hero,\" Benjamin declared. Emma was heard saying, \"(Maso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1444, \"statements\": [[\"not\", [\"lying\", 7]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-... | {"split": "train", "index": 10334} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: David, Owen, Abigail, Lily, Riley, Avery, Chloe, Liam, and Samuel. David said that Samuel is a knave. As Owen put it, \"(Lily is a knight and Avery i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1445, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"lying\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 5]... | {"split": "train", "index": 10335} |
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, Olivia, Emma, Isabella, Harper, Samuel, Matthew, Lucas, and Michael. \"if (if Matthew is a knight then Isabella is a knave) then Isabella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1446, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"lying\", 3]], [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-t... | {"split": "train", "index": 10336} |
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: Liam, Penelope, Luke, Jackson, Grace, Aurora, Alexander, Sophia, and Mason. \"(Alexander is a fool if and only if Aurora is a fool) and (Grace is a fool an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1447, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 0], [\"te... | {"split": "train", "index": 10337} |
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, Noah, Henry, Isabella, Aurora, Sophia, Grace, Lucas, and Benjamin. Daniel asserted: \"Aurora is a sinner and (Grace is a saint or Isabella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1448, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"telling-truth\", 6], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 7], [\"telling-truth\", 0], [\"lying\", 6]], [\"or\", [\"telling-trut... | {"split": "train", "index": 10338} |
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, Daniel, Grace, James, Penelope, Oliver, Luke, Aria, and Mia. Jack said that if (Mia is a knave or Grace is a knave or Daniel is a knight) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1449, \"statements\": [[\"->\", [\"or\", [\"lying\", 8], [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 6], [\"or\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 10339} |
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: Lucas, Henry, Aiden, Ella, James, Chloe, Mason, Sebastian, and Elizabeth. Lucas noted, \"(Elizabeth is a knight) if and only if Aiden is a knight\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1450, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 8]], [\"telling-truth\", 2]], [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 2], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"tell... | {"split": "train", "index": 10340} |
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: Ethan, Penelope, Alexander, Abigail, Aria, Matthew, Avery, Scarlett, and Grace. According to Ethan, \"(if Scarlett is an altruist then Abigail ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1451, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 0], [\"or\", [\"and\", [\"lying\", 5... | {"split": "train", "index": 10341} |
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, Aria, Jackson, Ella, Grace, Lucas, Isabella, Olivia, and Riley. Evelyn was heard saying, \"(Jackson is a fool and Riley is a sage and Aria is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1452, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 8], [\"lying\", 1]], [\"lying\", 4], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]], [\"or\", [\"tel... | {"split": "train", "index": 10342} |
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: Logan, Daniel, Emily, Olivia, Henry, Aiden, Aria, Sebastian, and Aurora. Logan commented, \"Daniel is a villain\". Daniel told you that (Henry is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1453, \"statements\": [[\"lying\", 1], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 5], [... | {"split": "train", "index": 10343} |
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, Owen, Aurora, Benjamin, Daniel, Emma, Scarlett, Riley, and Ava. Jackson stated, \"(Benjamin is an angel or Owen is an angel) if and only if (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1454, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"lying\", 8], [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 3]],... | {"split": "train", "index": 10344} |
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, Penelope, Owen, Ethan, Evelyn, Joseph, Emily, Chloe, and Alexander. As Abigail put it, \"(Joseph is a villain or Alexander is a hero) or (Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1455, \"statements\": [[\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 8]], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 3], [\"and\", [\"->\", [\"tellin... | {"split": "train", "index": 10345} |
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, Emma, James, Penelope, Scarlett, Aria, Ethan, Oliver, and Jackson. In Emily's words: \"(Ethan is a knave and James is a knave and Aria is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1456, \"statements\": [[\"or\", [\"and\", [\"lying\", 6], [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5], [\"telling-truth\",... | {"split": "train", "index": 10346} |
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, Aiden, Jack, Ella, Jackson, Ava, Luke, Lucas, and Owen. As Benjamin put it, \"if (Ella is a devil or Aiden is a devil or Jackson is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1457, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 5], [\"lying\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\... | {"split": "train", "index": 10347} |
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, Henry, Elizabeth, Emma, Chloe, Sofia, Owen, Scarlett, and Ella. Harper said that Emma is an egoist and (Ella is an altruist or Elizabet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1458, \"statements\": [[\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 8], [\"lying\", 2]], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"not\", [\"or\... | {"split": "train", "index": 10348} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Olivia, Luke, James, Michael, Scarlett, Victoria, Emily, Sophia, and Lucas. In Olivia's words: \"Victoria is a villain or (Luke is a hero and Emily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1459, \"statements\": [[\"or\", [\"lying\", 5], [\"and\", [\"telling-truth\", 1], [\"lying\", 6], [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 6]]], [\"telling-truth\", 3], [\"->\",... | {"split": "train", "index": 10349} |
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, Sofia, Mason, Sebastian, Henry, Mia, Alexander, Victoria, and Aurora. Aiden expressed that (if Mason is a sage then Aurora is a sage) or Mason is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1460, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"telling-truth\", 2], [\"lying\", 7]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 7], [\"lying\", 6], [\"lying\", 7... | {"split": "train", "index": 10350} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jack, Owen, Riley, Avery, Daniel, Jacob, Ava, Penelope, and Samuel. \"(Avery is a villain or Samuel is a hero or Ava is a hero) or (Owen is a hero if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1461, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6]], ... | {"split": "train", "index": 10351} |
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, Scarlett, Mia, Jacob, William, Luke, Sofia, Ethan, and Lucas. Matthew expressed that it is not the case that (Sofia is an egoist if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1462, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 4]]], [\"telling-truth\", 7], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth... | {"split": "train", "index": 10352} |
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, Lucas, David, Jacob, Joseph, Oliver, Ava, Amelia, and Avery. \"(Oliver is a knave and Joseph is a knight) and (Lucas is a knight and Ava is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1463, \"statements\": [[\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"l... | {"split": "train", "index": 10353} |
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, Luke, Grace, Jack, Joseph, Jackson, Noah, Oliver, and Henry. \"(Joseph is a villain and Luke is a hero and Henry is a hero) or (if Noah is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1464, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"->\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 1]... | {"split": "train", "index": 10354} |
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, Riley, Henry, Luke, Aiden, Grace, Isabella, Logan, and Evelyn. \"(Ella is a saint if and only if Luke is a saint) and (Evelyn is a sinner and I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1465, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 8], [\"telling-truth\", 6]], [\"->\", [\"lying\", 5], [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 2], [\"lyi... | {"split": "train", "index": 10355} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: William, Ava, Lucas, Emma, James, Grace, Mason, Aurora, and Michael. \"(if Grace is a hero then Aurora is a villain) or (Mason is a villain and Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1466, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 7]], [\"and\", [\"lying\", 6], [\"lying\", 7], [\"telling-truth\", 2]]], [\"telling-truth\", 7], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"tel... | {"split": "train", "index": 10356} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Scarlett, Sophia, Mia, Isabella, Alexander, Sofia, Avery, Liam, and Lucas. Scarlett remarked, \"if (Mia is a sinner and Liam is a sinner and Sophia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1467, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 7], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 8], [\"lying\", 7]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth... | {"split": "train", "index": 10357} |
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, Logan, Sophia, Olivia, Lily, Henry, Zoey, Benjamin, and Oliver. Charlotte said, \"it is not the case that (Lily is an altruist).\" L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1468, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"lying\", 7], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 10358} |
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, Sophia, Amelia, Isabella, Abigail, Liam, Daniel, Lucas, and Aria. \"it is not the case that (Zoey is a hero or Abigail is a villain),\" Zoey cl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1469, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 8], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\",... | {"split": "train", "index": 10359} |
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: Zoey, Amelia, Sofia, Riley, Jackson, Emily, Scarlett, Sebastian, and Ella. Zoey asserted: \"(Riley is a saint) or (Ella is a saint or Scarlett is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1470, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"and\", [\"tel... | {"split": "train", "index": 10360} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Liam, Daniel, Henry, Elizabeth, Victoria, James, Ethan, Harper, and Mason. Liam stated, \"(if James is a laggard then Harper is a laggard) or J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1471, \"statements\": [[\"or\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"telling-truth\", 5]], [\"and\", [\"lying\", 7], [\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"l... | {"split": "train", "index": 10361} |
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, Emily, Lily, Sebastian, Charlotte, Sophia, Michael, Mason, and Samuel. Owen said, \"if (Samuel is a knave) then (Sebastian is a knight if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1472, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]... | {"split": "train", "index": 10362} |
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: Riley, Amelia, Lily, Aria, Olivia, Aurora, Logan, Emma, and Grace. In Riley's words: \"(Amelia is a knight) or (Logan is a knight or Amelia is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1473, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 1], [\"telling-truth\", 7]]], [\"lying\", 6], [\"and\", [\"not\", [\"lying\", 7]], [\"not\", [\"telling-truth\", 7]]], [\"... | {"split": "train", "index": 10363} |
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, Jacob, Ella, Alexander, Zoey, Isabella, William, Samuel, and Abigail. As Daniel put it, \"Ella is an angel\". Jacob was heard saying, \"(Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1474, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lyin... | {"split": "train", "index": 10364} |
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: Ethan, Ella, Michael, Oliver, William, Victoria, Avery, Noah, and Chloe. \"Ella is a devil if and only if (Noah is an angel and Avery is an angel),\" E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1475, \"statements\": [[\"<=>\", [\"lying\", 1], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"->\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [... | {"split": "train", "index": 10365} |
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, Victoria, Scarlett, David, Matthew, Amelia, Luke, Liam, and Abigail. \"if (Liam is a sage or Lucas is a sage) then (Luke is a sage or Liam is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1476, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\",... | {"split": "train", "index": 10366} |
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: Penelope, Ethan, Avery, Logan, Lily, Aiden, Sophia, Joseph, and Zoey. As Penelope put it, \"Aiden is a knave\". In Ethan's words: \"it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1477, \"statements\": [[\"lying\", 5], [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"lying\", 1], [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 6]], [\"<=>\", [... | {"split": "train", "index": 10367} |
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, Emma, Daniel, Isabella, Grace, Lily, Avery, David, and Riley. In Harper's words: \"(David is an egoist if and only if Daniel is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1478, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 1], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"not\", [\"not\", [\"telling-truth\... | {"split": "train", "index": 10368} |
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, Jackson, Emma, Chloe, Jack, Oliver, Victoria, William, and Luke. \"it is not the case that (Luke is a sinner),\" Olivia mentioned. Jackson re... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1479, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 6], [\"lying\", 8], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 10369} |
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: Emily, Henry, Luke, Mia, Ethan, Liam, Oliver, Amelia, and Logan. Emily said, \"(if Amelia is a saint then Oliver is a sinner) or (Henry is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1480, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 3], [\"lying\", 7]]], [\"and\", [\"<=>\... | {"split": "train", "index": 10370} |
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, Jacob, Isabella, Luke, Penelope, Matthew, David, Samuel, and Emma. In Ella's words: \"(Matthew is an egoist if and only if David is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1481, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 8], [\"lying\", ... | {"split": "train", "index": 10371} |
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: David, Matthew, Aurora, Owen, Zoey, Michael, Ethan, Amelia, and Jacob. As David put it, \"(if Matthew is a saint then Zoey is a sinner) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1482, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 6]], [\"lying\", 2], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", ... | {"split": "train", "index": 10372} |
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: Daniel, Aria, Avery, Penelope, Charlotte, Victoria, Olivia, Scarlett, and Mason. As Daniel put it, \"(if Mason is a knave then Mason is a knight) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1483, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 8]], [\"lying\", 3]], [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"lying\", 3], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"n... | {"split": "train", "index": 10373} |
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, Chloe, Riley, Luke, Aiden, Charlotte, Isabella, Sophia, and Olivia. Abigail said that if Sophia is a hero then Isabella is a hero. Chloe tol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1484, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]]], [\"... | {"split": "train", "index": 10374} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Luke, Elizabeth, Grace, Joseph, Aiden, Sophia, Victoria, Aria, and Charlotte. \"if (Charlotte is a pioneer or Aria is a pioneer or Sophia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1485, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", ... | {"split": "train", "index": 10375} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Joseph, Chloe, Ethan, Henry, Daniel, Oliver, Harper, Michael, and Emma. As Joseph put it, \"(Daniel is a hero or Henry is a villain) or (Daniel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1486, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 6], [\"lying\", 1]]], [\"lying\", 8], [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\", 0]], [... | {"split": "train", "index": 10376} |
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: Penelope, Amelia, Ethan, Sofia, Noah, Joseph, Victoria, Luke, and William. Penelope expressed that Ethan is a knave. Amelia told you that Luke is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1487, \"statements\": [[\"lying\", 2], [\"or\", [\"telling-truth\", 7], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6], [\"telling-truth\", 7]]], [\"telli... | {"split": "train", "index": 10377} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Victoria, Ethan, Avery, Charlotte, Sofia, Emily, Benjamin, Oliver, and Grace. Victoria asserted: \"Sofia is a hero if and only if (Avery is a hero)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1488, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"not\", [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]], [\"or\", [\"lying\", 5], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 1], [\"... | {"split": "train", "index": 10378} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jack, Grace, Sebastian, Lucas, Ethan, Riley, Noah, Logan, and Aurora. Jack told you that it is not the case that (Sebastian is an angel and Aurora is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1489, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"and\", [\"or\", [\"... | {"split": "train", "index": 10379} |
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, Jack, Aurora, Elizabeth, Aiden, Abigail, Henry, Matthew, and Logan. Owen noted, \"if (Owen is a sage or Henry is a fool or Abigail is a fool) then (H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1490, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 6], [\"lying\", 5]], [\"<=>\", [\"lying\", 6], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 7], [\"lying\", 4]]], [\"->\", [\"<=... | {"split": "train", "index": 10380} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jack, Abigail, Penelope, Avery, Joseph, Aiden, Matthew, Sebastian, and Jackson. Jack was heard saying, \"it is not the case that (Sebastian is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1491, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"lying\", 6]], [\"and\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"->\", [\"->\... | {"split": "train", "index": 10381} |
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, Sebastian, Elizabeth, Henry, Liam, Scarlett, Lucas, James, and Mason. \"it is not the case that (James is an altruist),\" Sofia mentione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1492, \"statements\": [[\"not\", [\"not\", [\"lying\", 7]]], [\"not\", [\"telling-truth\", 8]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"lying\", 0], [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\... | {"split": "train", "index": 10382} |
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: Aiden, Ella, Matthew, Sebastian, Sofia, Noah, Ava, Luke, and Daniel. According to Aiden, \"if (if Luke is a knight then Ava is a knave) then (Sebasti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1493, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]], [\"and\", [\"lying\", 3], [\"telling-truth\", 8], [\"lying\", 5]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"te... | {"split": "train", "index": 10383} |
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, Daniel, Owen, Charlotte, Grace, Jackson, Alexander, Penelope, and Chloe. William asserted: \"(Daniel is a devil and William is an angel and Ow... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1494, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"->\", [\"telling-trut... | {"split": "train", "index": 10384} |
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, Abigail, David, Liam, Emily, Sebastian, Riley, Ethan, and Matthew. \"(if Riley is a sage then David is a sage) and (Sebastian is a fool if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1495, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"and... | {"split": "train", "index": 10385} |
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: Aurora, Evelyn, Sofia, Noah, Ella, Mia, Penelope, Lucas, and Sophia. Aurora expressed that (Evelyn is a laggard if and only if Sophia is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1496, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 8]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 0]], [\"or\", [\"telling-truth\", 7],... | {"split": "train", "index": 10386} |
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, Matthew, Mason, Ella, Victoria, Lucas, Abigail, Joseph, and Henry. Liam noted, \"(Joseph is a villain if and only if Victoria is a hero) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1497, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 7]], [\"lying\", 3]], [\"->\", [\"l... | {"split": "train", "index": 10387} |
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, Ava, Mason, Olivia, Lily, Riley, Jacob, Emma, and Jackson. \"(Mason is a knight if and only if Jackson is a knave) or (Olivia is a knight),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1498, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 7], [\"telling-tru... | {"split": "train", "index": 10388} |
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: Liam, Noah, Owen, Logan, Sebastian, Oliver, Sofia, Luke, and Isabella. Liam told you that (if Liam is an angel then Oliver is an angel) or (Noah is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1499, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"<=>\", [\"lying\", 5], [\"or\", [\"lying\", 0], [\"telling-truth\", 7]]], [\"lying... | {"split": "train", "index": 10389} |
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, Matthew, Jack, Jacob, Emily, Chloe, Aria, Evelyn, and Jackson. Elizabeth asserted: \"if (Emily is a knave or Matthew is a knave or Jack is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1500, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]... | {"split": "train", "index": 10390} |
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: Luke, Zoey, Emily, Scarlett, Sebastian, Olivia, Liam, Oliver, and Aria. \"(Oliver is a saint if and only if Scarlett is a saint) or (Aria is a saint)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1501, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6]], [\"and\", [\"telling-truth\", 6], [\"telling-t... | {"split": "train", "index": 10391} |
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: Aria, Daniel, Charlotte, Logan, Scarlett, Ethan, David, Matthew, and Sophia. Aria said that Ethan is a pioneer. Daniel asserted: \"if Sophia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1502, \"statements\": [[\"telling-truth\", 5], [\"->\", [\"lying\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 4],... | {"split": "train", "index": 10392} |
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: Aurora, Chloe, Olivia, Lily, Aiden, Elizabeth, Luke, Avery, and Jacob. \"(Avery is a hero if and only if Avery is a villain) and (Luke is a hero) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1503, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 10393} |
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: Riley, Liam, Isabella, Harper, Victoria, Alexander, Sophia, Ava, and Scarlett. \"(Victoria is a knave if and only if Ava is a knight) or (Alexander i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1504, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]], [\"or\", [\"lying\", 5], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 10394} |
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, Luke, Scarlett, Riley, Aiden, Mia, Sofia, Isabella, and Avery. Matthew told you that (Luke is a knave and Luke is a knight and Sofia is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1505, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 5]]... | {"split": "train", "index": 10395} |
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, Emma, Zoey, Riley, Jackson, Samuel, Abigail, Daniel, and Jacob. Harper told you that (Jacob is an altruist) if and only if (if Riley is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1506, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]], [\"telling-truth\", 1]], [\"and\", [\"->\", [\... | {"split": "train", "index": 10396} |
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, Lily, Emily, Mason, Benjamin, Charlotte, Ethan, Alexander, and Aurora. Chloe noted, \"Benjamin is a villain if and only if (Aurora is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1507, \"statements\": [[\"<=>\", [\"lying\", 4], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 8... | {"split": "train", "index": 10397} |
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, David, Luke, Scarlett, Chloe, Aurora, Jackson, Benjamin, and Ethan. According to Elizabeth, \"Luke is a knight\". David was heard saying, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1508, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 0], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]... | {"split": "train", "index": 10398} |
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: Joseph, Luke, Penelope, Daniel, Alexander, Samuel, Jackson, Victoria, and Logan. Joseph asserted: \"(if Logan is a knight then Alexander is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1509, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"->\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 10399} |
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