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 saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Liam, Jack, Oliver, Charlotte, Riley, Chloe, Scarlett, Noah, and Amelia. Liam said that Riley is a sinner. Jack told you that (Amelia is a saint if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 932, \"statements\": [[\"lying\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"lying\", 4], [\"not\", [\"lying\", 0]]], [\"->\", [\"and\", [\"telling-t... | {"split": "train", "index": 7600} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Luke, Sophia, Evelyn, Lily, Joseph, Isabella, Aiden, Charlotte, and Harper. Luke told you that (Lily is an egoist if and only if Aiden is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 933, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1]... | {"split": "train", "index": 7601} |
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, Owen, Ava, Chloe, Evelyn, Daniel, Charlotte, Sebastian, and Lucas. Zoey commented, \"if (Sebastian is a hero or Charlotte is a villain) then (C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 6]], [\"and\", [\"lying\", 6], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 0]], [\"<=>\", [\"lying\", 8], [\"telling-truth... | {"split": "train", "index": 7602} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Avery, Ethan, Penelope, Victoria, Chloe, Aurora, Liam, and James. Jack noted, \"James is an altruist if and only if (Ethan is an egoist i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"t... | {"split": "train", "index": 7603} |
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, Oliver, James, Henry, Emma, Matthew, Jackson, David, and Mia. \"if (if Mia is a devil then Emma is a devil) then (James is a devil if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"->\", [\"->\", [\"lying\", 8], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"telling-truth\", 7], [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8]], [\"and\", [\"lyin... | {"split": "train", "index": 7604} |
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: Evelyn, Olivia, Lily, Victoria, Penelope, Jack, Benjamin, Joseph, and James. Evelyn asserted: \"if (Penelope is a hero and Jack is a hero) then (Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 937, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 8]], [\"lying\", 5], [\"not\", [\"or\", [\"telling-tru... | {"split": "train", "index": 7605} |
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: Luke, Lucas, Olivia, Grace, Matthew, Sofia, Daniel, Jack, and Abigail. Luke commented, \"Abigail is a sage\". \"(if Daniel is a fool then Grace is a fool) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 938, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"or\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"or\", [\"lying\", 1], [\"telling-truth\", 8]], [\"lying\", 0], [\"telling-... | {"split": "train", "index": 7606} |
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, Mia, Harper, Henry, Grace, Sofia, Aiden, Amelia, and Charlotte. Jacob expressed that it is not the case that (Mia is a devil and Grace is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-... | {"split": "train", "index": 7607} |
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: Jack, Sofia, Alexander, Elizabeth, Joseph, Penelope, Evelyn, Mia, and Zoey. \"if (Joseph is a saint if and only if Alexander is a saint) then (Penelo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"lying\", 8], [\"and\", [\"telling-truth\", 8], [\"not\", [\"lying\", 0]]], [\"->\... | {"split": "train", "index": 7608} |
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, Benjamin, Olivia, Jackson, Liam, Riley, Ethan, Samuel, and Mia. In Oliver's words: \"if (Liam is an egoist) then (Mia is an egoist and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 941, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"lying\", 2], [\"lying\", 6]... | {"split": "train", "index": 7609} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Abigail, Daniel, Isabella, Chloe, Elizabeth, Alexander, Grace, Liam, and Noah. In Abigail's words: \"if (Chloe is an angel if and only if Liam is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 942, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]], [\"not\", [\"lying\", 6]]], [\"->\", [\"lying\", 7], [\"or\", [\"lying\", 2], [\"lying\", 5]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"l... | {"split": "train", "index": 7610} |
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: Mia, Liam, Riley, Isabella, Emily, Jackson, Amelia, Joseph, and Zoey. Mia noted, \"Mia is a hero\". \"Isabella is a villain,\" Liam claimed. \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 943, \"statements\": [[\"telling-truth\", 0], [\"lying\", 3], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]], [\"->\", [\"lying\", 7], [\"telling-truth\... | {"split": "train", "index": 7611} |
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, Matthew, Owen, Ella, Luke, Lily, Henry, and Mia. In Jack's words: \"(Abigail is an angel if and only if Owen is an angel) and (Owen is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 944, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 6]]... | {"split": "train", "index": 7612} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Isabella, Aurora, Emma, Aria, Alexander, Daniel, Samuel, Noah, and Elizabeth. Isabella said that Daniel is an egoist. \"(Samuel is an egoist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 945, \"statements\": [[\"lying\", 5], [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4]], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 7],... | {"split": "train", "index": 7613} |
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: Penelope, Avery, Lucas, James, Jackson, Olivia, Victoria, Mia, and Jack. Penelope expressed that (James is a saint and Penelope is a saint) and (Luca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 946, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 7],... | {"split": "train", "index": 7614} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Jacob, Liam, Alexander, Riley, Sebastian, Scarlett, Oliver, and Penelope. Owen said that (if Oliver is an angel then Penelope is an angel) or Pen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 947, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"telling-truth\", 8]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"not\", [\"lying\", 4]]], [\"not\", [\"not... | {"split": "train", "index": 7615} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Penelope, Emily, Abigail, Jack, Alexander, Avery, Ethan, Olivia, and Noah. As Penelope put it, \"it is not the case that (Ethan is a laggard an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 948, \"statements\": [[\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 8]], [\"not\", [\"lying\", 4]]], [\"lying\", 6], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-... | {"split": "train", "index": 7616} |
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, Avery, Daniel, Sebastian, Benjamin, Joseph, Ella, Emma, and Logan. According to Isabella, \"(Avery is a hero) or (Sebastian is a hero)\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 949, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"or\", [\"lying\", 5], [\"lyin... | {"split": "train", "index": 7617} |
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: Logan, Michael, James, Abigail, Penelope, Riley, Samuel, Liam, and Joseph. Logan stated, \"James is a knight\". Michael said, \"(Liam is a knave) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 950, \"statements\": [[\"not\", [\"lying\", 2]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 5]], [\"->\", [\"telling-truth\", 0]... | {"split": "train", "index": 7618} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Sophia, Alexander, Samuel, Avery, Charlotte, Benjamin, Logan, Henry, and Emma. Sophia expressed that if (Avery is a devil) then (if Samuel is a devil t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 951, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 8]]], [\"telling-truth\", 1], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]... | {"split": "train", "index": 7619} |
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, Lucas, Matthew, Grace, Daniel, Zoey, Emily, Sebastian, and Penelope. In Luke's words: \"(Daniel is a sinner or Penelope is a saint) and (Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 8]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"tell... | {"split": "train", "index": 7620} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Matthew, Henry, Oliver, Noah, Jacob, Liam, Avery, Emily, and Mia. Matthew stated, \"if (Emily is a sage and Henry is a sage) then (if Avery is a fool then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 953, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"->\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"and\", [\"not\", [\"lying\", 8]], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]... | {"split": "train", "index": 7621} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sofia, Noah, Aurora, Abigail, Victoria, Daniel, Owen, Lucas, and Benjamin. \"it is not the case that (Abigail is a fool or Owen is a sage),\" Sofia declare... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 954, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 0], [\"or\", [\"tell... | {"split": "train", "index": 7622} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Henry, Aiden, Mia, Charlotte, Zoey, Victoria, Aurora, and Liam. Samuel commented, \"(Charlotte is a hero) or (Victoria is a villain if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 955, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 6], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 3]], [\"->\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"and\", [\"->\", [\... | {"split": "train", "index": 7623} |
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: Owen, Riley, Matthew, Daniel, Aria, Penelope, Charlotte, Chloe, and Emma. Owen said that (if Penelope is an altruist then Daniel is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 956, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"telling-truth\", 6]], [\"or\", [\"lying\", 0], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 3], ... | {"split": "train", "index": 7624} |
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, Victoria, Chloe, Isabella, Evelyn, Amelia, Aria, Olivia, and Elizabeth. According to Owen, \"(Amelia is a knave) if and only if (if Elizabeth i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 957, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 8], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-... | {"split": "train", "index": 7625} |
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: Lily, Samuel, Matthew, Benjamin, Zoey, Penelope, James, Noah, and Logan. \"Benjamin is a hero,\" Lily claimed. Samuel said, \"(James is a hero or Lil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 958, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 0]], [\"lying\", 8]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"<=>\", [\"<=>\", [\"lying\", 7... | {"split": "train", "index": 7626} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jackson, Ethan, Logan, Lucas, William, Scarlett, Noah, Aria, and Elizabeth. Jackson remarked, \"it is not the case that (Lucas is a sinner if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 959, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"->\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 7627} |
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, Jack, Abigail, Penelope, Samuel, Lucas, Liam, Benjamin, and Sophia. According to Olivia, \"it is not the case that (if Jack is a knave then P... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 960, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"lying\", 4], [\"lying\", 7], [\"or\", [\"lying\", 2], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-trut... | {"split": "train", "index": 7628} |
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, Sofia, Mia, Jack, James, Ethan, Sophia, Daniel, and Liam. Jacob said, \"it is not the case that (Sophia is a knave or Daniel is a knave).\" \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 961, \"statements\": [[\"not\", [\"or\", [\"lying\", 6], [\"lying\", 7]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"lying\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-t... | {"split": "train", "index": 7629} |
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, Benjamin, Luke, Lucas, Sophia, Matthew, Noah, Jacob, and James. \"if (Benjamin is a hero and James is a hero) then (Luke is a hero),\" Jack men... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 962, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"not\", [\"lying\", 2]]], [\"and\", [\"telling-truth\", 7], [\"and\", [\"lying\", 2], [\"lying\", 7]]], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 7630} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sofia, Charlotte, Victoria, Daniel, William, Grace, Chloe, Henry, and Samuel. Sofia asserted: \"if (Chloe is a knave and Victoria is a knave) then (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 963, \"statements\": [[\"->\", [\"and\", [\"lying\", 6], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"or\", [\"lying\", 8], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-... | {"split": "train", "index": 7631} |
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, Sofia, Emma, Jackson, William, Jack, Alexander, Daniel, and Harper. Liam expressed that Alexander is a laggard or (Harper is a laggard or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 964, \"statements\": [[\"or\", [\"lying\", 6], [\"or\", [\"lying\", 8], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"l... | {"split": "train", "index": 7632} |
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: William, Harper, Isabella, Aurora, Aria, Lily, Ava, Avery, and Victoria. \"if Aria is a knave then (Ava is a knave),\" William claimed. According to ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 965, \"statements\": [[\"->\", [\"lying\", 4], [\"not\", [\"telling-truth\", 6]]], [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"not... | {"split": "train", "index": 7633} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emily, Mason, Alexander, Victoria, Avery, Benjamin, Scarlett, Chloe, and Grace. Emily noted, \"(Avery is a hero and Chloe is a hero) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 966, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 3], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 5]]], [\"and\", [\"<=>\", [\"telling... | {"split": "train", "index": 7634} |
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: Mia, Avery, Jacob, Michael, James, Luke, Ava, Elizabeth, and Liam. \"(Michael is a villain and Elizabeth is a villain) if and only if (Michael is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 967, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 7]], [\"<=>\", [\"lying\", 3], [\"lying\", 7]]], [\"or\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 1], [\"lying\", 2], [\"->\... | {"split": "train", "index": 7635} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Sebastian, Zoey, Daniel, Jackson, Matthew, James, Lily, and Victoria. Oliver remarked, \"if (Matthew is a laggard or Sebastian is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 968, \"statements\": [[\"->\", [\"or\", [\"lying\", 5], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 2]], [\"and\", [\"lying\", 5], [\"telling-truth\", 8]]]... | {"split": "train", "index": 7636} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Riley, Matthew, Mia, Lucas, Olivia, Ella, Lily, Luke, and Noah. \"(Riley is an angel or Noah is a devil) or (Lucas is an angel if and only if Ella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 969, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"telling-truth\", 1], ... | {"split": "train", "index": 7637} |
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, Samuel, David, Sebastian, Isabella, Olivia, Oliver, Victoria, and Sophia. Elizabeth commented, \"Sebastian is a saint and Elizabeth is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 970, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"not\", [\"<=>\... | {"split": "train", "index": 7638} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Luke, Mia, Michael, Liam, Daniel, Grace, Chloe, Aria, and Victoria. In Luke's words: \"(if Chloe is a villain then Mia is a hero) and (if Chloe is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 971, \"statements\": [[\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 1]], [\"->\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5]], [\"not\", [\"lying\", 8]]], [\"->... | {"split": "train", "index": 7639} |
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, Jacob, Penelope, Jack, Avery, Ava, Lily, Emily, and Jackson. \"(Jackson is a knight or Harper is a knight) and (Lily is a knight if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 972, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 8], [\"lying\", 0]]], [\"and\", [\"telling-t... | {"split": "train", "index": 7640} |
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, Liam, Luke, Samuel, Avery, Noah, Victoria, Ella, and Emily. Evelyn said that Ella is a devil and (if Noah is an angel then Victoria is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 973, \"statements\": [[\"and\", [\"lying\", 7], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"not\", [\"lying\", 3]], [\"telling-truth\", 1], [\"->\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]]],... | {"split": "train", "index": 7641} |
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: Mason, Ava, Liam, Jacob, Victoria, Henry, Logan, Emma, and Daniel. Mason commented, \"if (Daniel is a fool or Emma is a fool) then (Logan is a sage and Log... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 974, \"statements\": [[\"->\", [\"or\", [\"lying\", 8], [\"lying\", 7]], [\"and\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"->\", [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"and\",... | {"split": "train", "index": 7642} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Mia, Ella, Jack, Emily, Grace, Lily, Ava, and Jacob. \"(Lily is an angel if and only if Ava is a devil) or (Emily is a devil if and only if Jack ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 975, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]], [\"telling-truth\", 8]], [\"->\... | {"split": "train", "index": 7643} |
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: Sophia, Zoey, Luke, Benjamin, Avery, Victoria, Michael, Harper, and Aria. \"if (Avery is a sage if and only if Victoria is a fool) then (Benjamin is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 976, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 6], [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]], [\"or\",... | {"split": "train", "index": 7644} |
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, Joseph, Owen, Victoria, Sofia, Evelyn, Avery, Oliver, and Mason. Grace said, \"(Joseph is an angel) if and only if (Avery is a devil and Evelyn ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 977, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 6], [\"lying\", 5]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"not\", [\"lying\", 7]]], [\"->\", [\"->\", [\"telling-truth\... | {"split": "train", "index": 7645} |
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: Aiden, Scarlett, Lucas, David, Oliver, Sophia, Emily, Sofia, and Benjamin. As Aiden put it, \"Oliver is a saint\". Scarlett said that (Sophia is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 978, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"or\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"<... | {"split": "train", "index": 7646} |
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: Mason, Alexander, Aria, Liam, Lily, Chloe, Penelope, Abigail, and Ava. Mason asserted: \"(Liam is a sage and Lily is a fool) and (Aria is a sage and Aria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 979, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6]], [\"->\", [\"lying\", 2], [\"tell... | {"split": "train", "index": 7647} |
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: Logan, Henry, Jack, Sebastian, Emma, Noah, Harper, Ava, and Abigail. \"Ava is an egoist\" - Logan. \"Noah is an altruist\" - Henry. Jack said t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 980, \"statements\": [[\"lying\", 7], [\"telling-truth\", 5], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"lying\", 5], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\... | {"split": "train", "index": 7648} |
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, Jackson, James, Aurora, Evelyn, Joseph, Aria, Sebastian, and Lucas. \"Lucas is a knave\" - Penelope. Jackson noted, \"Aurora is a knight\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 981, \"statements\": [[\"lying\", 8], [\"telling-truth\", 3], [\"lying\", 7], [\"->\", [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 3], [\"<... | {"split": "train", "index": 7649} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lily, Noah, Harper, Logan, Luke, Sofia, Emma, Mason, and Grace. Lily expressed that Harper is a knight. Noah stated, \"(if Harper is a knight then So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 982, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-... | {"split": "train", "index": 7650} |
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, Isabella, Amelia, James, Mia, Emma, Lucas, Liam, and William. Daniel asserted: \"if Emma is a pioneer then (Liam is a laggard)\". \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 983, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 4], [\"lying\", 6]]], [\"telling-truth\", 4], [\"or\", [\"and\", [\"lying\", ... | {"split": "train", "index": 7651} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Liam, Amelia, Ava, Harper, Lucas, Matthew, Charlotte, Elizabeth, and Mason. Liam expressed that (Charlotte is an egoist and Elizabeth is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 984, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 3], [\"lying\", 8]]], [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"telling-t... | {"split": "train", "index": 7652} |
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, Jack, Sophia, Elizabeth, Michael, Jacob, Samuel, Daniel, and Isabella. Ethan noted, \"Isabella is a devil or (Sophia is a devil)\". \"if (Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 985, \"statements\": [[\"or\", [\"lying\", 8], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 8]], [\"lying\", 0]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]], [\"or\", [\"telling-truth\", 2... | {"split": "train", "index": 7653} |
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, Benjamin, James, Lily, Aiden, Alexander, Emily, Riley, and Chloe. Liam said, \"(Chloe is a laggard or Chloe is a pioneer) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 986, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 3]], [\"or\", [\"lying\", 7], [\"telli... | {"split": "train", "index": 7654} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jackson, Jacob, Ella, Zoey, Penelope, Oliver, Emma, David, and Samuel. Jackson said, \"(Penelope is an egoist and Jacob is an egoist) and (Emma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 987, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"<=>\", [\"->\", [\"t... | {"split": "train", "index": 7655} |
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: Sophia, Noah, Jack, Michael, Penelope, William, Isabella, Victoria, and Joseph. \"(Isabella is a sage if and only if Michael is a fool) if and only if (Mic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 988, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"l... | {"split": "train", "index": 7656} |
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, Owen, Mason, Sofia, Emily, Olivia, David, Jack, and Ella. In a statement by Lily: \"Mason is an altruist if and only if (David is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 989, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"lying\", 6], [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6]], [\"or\", [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 7657} |
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, Matthew, Jackson, David, Ava, Joseph, Isabella, Alexander, and Mason. Ella remarked, \"Mason is a sinner\". In a statement by Matthew: \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 990, \"statements\": [[\"lying\", 8], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\",... | {"split": "train", "index": 7658} |
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, Amelia, Elizabeth, Henry, James, Samuel, Aria, Matthew, and Riley. \"Elizabeth is a fool and (Samuel is a sage if and only if Aria is a fool),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 991, \"statements\": [[\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"not\", [\"... | {"split": "train", "index": 7659} |
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: Owen, Noah, Charlotte, Mason, Samuel, Luke, Jack, James, and Henry. \"(Luke is a pioneer or Henry is a laggard) or (James is a laggard),\" Owen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 992, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8]], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"te... | {"split": "train", "index": 7660} |
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: Evelyn, Lily, Luke, Victoria, Abigail, Harper, Sofia, Alexander, and Michael. \"(Sofia is an egoist if and only if Abigail is an altruist) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 993, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 7], [\"tel... | {"split": "train", "index": 7661} |
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, Liam, Evelyn, Ava, Emma, Joseph, Sofia, Sophia, and Abigail. In Mia's words: \"(if Liam is a knave then Emma is a knight) or (Abigail is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 994, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\... | {"split": "train", "index": 7662} |
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: Ava, Victoria, Mason, Jack, Emily, Aurora, Riley, Scarlett, and Mia. Ava said that it is not the case that (Ava is a knight and Victoria is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 995, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"lying\", 0], [\"lying\", 7]]], [\"->\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 7663} |
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, Riley, Aurora, William, Victoria, Amelia, Ella, Jackson, and Grace. Benjamin remarked, \"if (Jackson is a hero) then (if Amelia is a hero t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 996, \"statements\": [[\"->\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5]]... | {"split": "train", "index": 7664} |
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, Matthew, Mia, David, Samuel, Luke, Emily, Jacob, and Aiden. Ethan noted, \"(Mia is a hero) and David is a hero\". Matthew asserted: \"(Emily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 997, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6]], [\"not\", [\"lying\", 7]]], [\"not\", [\"lying\", 0]], [\"or\", [\"not\", [\"lyin... | {"split": "train", "index": 7665} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sebastian, Evelyn, Riley, Mia, Noah, David, Chloe, Isabella, and Penelope. Sebastian said, \"(Riley is an egoist and Penelope is an egoist) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 998, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 8]], [\"<=>\", [\"lying\", 7], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"<=>... | {"split": "train", "index": 7666} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Alexander, Ethan, Samuel, Mason, Charlotte, Emma, Ava, Isabella, and Noah. Alexander expressed that (Ethan is a sage or Emma is a fool) if and only if Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 999, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 5]], [\"lying\", 1]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"not\"... | {"split": "train", "index": 7667} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Luke, Emma, Mason, William, Jackson, Lily, Riley, Sophia, and Jack. \"(Jackson is an altruist) and Lily is an altruist,\" Luke claimed. As Emma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1000, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 5]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 8], [\"lying\", 3]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [... | {"split": "train", "index": 7668} |
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: Joseph, Evelyn, Isabella, Mia, David, Aurora, Sophia, Logan, and Emma. In Joseph's words: \"(Logan is a saint and Emma is a saint) if and only if (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1001, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"tel... | {"split": "train", "index": 7669} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Isabella, Owen, Riley, Henry, Mia, Michael, Noah, Sophia, and Aiden. Isabella noted, \"(if Isabella is an altruist then Noah is an altruist) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1002, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"lying\", 8]]], [\"n... | {"split": "train", "index": 7670} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ethan, Oliver, Isabella, Chloe, Mason, Daniel, Sophia, Michael, and Alexander. Ethan was heard saying, \"Alexander is a sinner and (Michael is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1003, \"statements\": [[\"and\", [\"lying\", 8], [\"or\", [\"lying\", 7], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 0]], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"lying\", 8], [\"->\"... | {"split": "train", "index": 7671} |
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, Lucas, Grace, Sebastian, Penelope, Benjamin, Charlotte, Samuel, and Emma. As Elizabeth put it, \"(if Samuel is an angel then Emma is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1004, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"not\", [\"tel... | {"split": "train", "index": 7672} |
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, Aria, Jacob, Avery, Noah, Amelia, Mason, Aurora, and Victoria. Elizabeth remarked, \"it is not the case that (Victoria is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1005, \"statements\": [[\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"or\", [\"lying\", 0], [\"not\", [\"lying\", 5]]], [\"telling-truth\", 1], [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 1]], [\"te... | {"split": "train", "index": 7673} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ella, Sebastian, Lucas, Avery, Amelia, Evelyn, Abigail, Penelope, and Jackson. Ella asserted: \"Penelope is a pioneer and (if Sebastian is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1006, \"statements\": [[\"and\", [\"telling-truth\", 7], [\"->\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"ly... | {"split": "train", "index": 7674} |
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, Elizabeth, Isabella, Jackson, Benjamin, Owen, Sofia, Abigail, and Michael. \"(Jackson is a saint) and (Owen is a saint),\" Charlotte claim... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1007, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"telling-truth\", 0], [\"not\", [\"->\",... | {"split": "train", "index": 7675} |
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: Logan, Liam, David, Scarlett, Mia, Alexander, William, Ava, and Daniel. Logan commented, \"it is not the case that (Scarlett is a fool and Liam is a sage)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1008, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 6]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling... | {"split": "train", "index": 7676} |
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, Logan, Lucas, Alexander, Penelope, Evelyn, Sebastian, Olivia, and Oliver. Aria expressed that (Sebastian is a villain or Alexander is a hero) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1009, \"statements\": [[\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"lying\", 6]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\... | {"split": "train", "index": 7677} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Abigail, Oliver, Jack, Grace, Benjamin, Harper, Michael, Evelyn, and William. Abigail noted, \"Grace is a laggard and Oliver is a laggard\". In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1010, \"statements\": [[\"and\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [... | {"split": "train", "index": 7678} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Joseph, Victoria, Lily, Emma, Ava, Aria, Aiden, Mia, and Daniel. Joseph stated, \"Aiden is a sage\". \"(if Aria is a sage then Lily is a fool) and (Lily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1011, \"statements\": [[\"not\", [\"lying\", 6]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\"... | {"split": "train", "index": 7679} |
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, David, Aria, Ethan, Logan, Elizabeth, Michael, Chloe, and Zoey. Victoria commented, \"(Aria is a pioneer or Zoey is a pioneer) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1012, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"->\",... | {"split": "train", "index": 7680} |
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: Jack, Henry, Liam, Scarlett, Emma, Emily, Lucas, Daniel, and Jackson. \"it is not the case that (Henry is a saint and Lucas is a saint)\" - Jack. Hen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1013, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 3]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\",... | {"split": "train", "index": 7681} |
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, Grace, Jacob, Daniel, Liam, Riley, Olivia, Henry, and Jack. According to William, \"(Daniel is an angel and Liam is a devil) and (Jack is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1014, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"->\", [\"telling-t... | {"split": "train", "index": 7682} |
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, James, Sophia, Ava, Aria, Liam, Matthew, Lucas, and Mason. Jacob expressed that it is not the case that (Ava is a devil and Lucas is a devil). J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1015, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"lying\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 5], [\"lying\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [... | {"split": "train", "index": 7683} |
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: Owen, Grace, Charlotte, Benjamin, Riley, Henry, Aurora, Jack, and Victoria. Owen remarked, \"(Charlotte is a laggard and Victoria is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1016, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 8]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"telling-truth\", 5], [\"or... | {"split": "train", "index": 7684} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Harper, Grace, Mia, Scarlett, Abigail, Joseph, Chloe, Ava, and Luke. In Harper's words: \"it is not the case that (if Grace is a sinner then Joseph i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1017, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-... | {"split": "train", "index": 7685} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Elizabeth, Ella, Abigail, Matthew, Charlotte, Jackson, Owen, Oliver, and Aiden. \"if (Owen is a sage) then Ella is a fool,\" Elizabeth declared. \"Abigail ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1018, \"statements\": [[\"->\", [\"not\", [\"lying\", 6]], [\"lying\", 1]], [\"telling-truth\", 2], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"lying\", 4], [\"not... | {"split": "train", "index": 7686} |
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, Evelyn, Aurora, Scarlett, Sebastian, William, Olivia, Avery, and Joseph. Zoey said, \"Avery is a saint or (Joseph is a sinner and Joseph is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1019, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"and\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"<=>\", [\"or\", [\"... | {"split": "train", "index": 7687} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sophia, Abigail, Aurora, Elizabeth, Ava, Ethan, Luke, Samuel, and Avery. In Sophia's words: \"it is not the case that (Ethan is a hero)\". Abigail no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1020, \"statements\": [[\"not\", [\"not\", [\"lying\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"and\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 7688} |
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: Benjamin, Isabella, Avery, Emily, Riley, William, Ava, Ethan, and Lily. \"if (if Ava is a sage then Avery is a sage) then (Avery is a fool if and only if E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1021, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"... | {"split": "train", "index": 7689} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sofia, Victoria, David, Aurora, Benjamin, Isabella, Avery, Liam, and Aria. Sofia noted, \"if (Avery is a laggard if and only if David is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1022, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 8]], [\"<=>\",... | {"split": "train", "index": 7690} |
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, Grace, Samuel, Michael, Mason, Lucas, Daniel, Joseph, and Penelope. Jackson told you that if (if Mason is an angel then Daniel is an angel) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1023, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 5]], [\"not\", [\"lying\", 4]]], [\"t... | {"split": "train", "index": 7691} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Noah, Aiden, Scarlett, Sophia, Owen, Joseph, James, Jacob, and Oliver. In Noah's words: \"(Aiden is a devil) and (if Oliver is a devil then Scarlett is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1024, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 8], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"and\", [\... | {"split": "train", "index": 7692} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Victoria, Aurora, Sofia, Evelyn, Noah, Jacob, Abigail, Olivia, and Daniel. Victoria was heard saying, \"Noah is a devil\". \"it is not the case that (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1025, \"statements\": [[\"lying\", 4], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 7]], [... | {"split": "train", "index": 7693} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Riley, Oliver, Ava, Aurora, Owen, Zoey, Grace, Lily, and Amelia. Riley told you that Oliver is a fool and (Owen is a fool and Amelia is a sage). According ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1026, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-... | {"split": "train", "index": 7694} |
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, Lily, Daniel, Sophia, Zoey, Penelope, Aiden, Ella, and Victoria. David stated, \"(Zoey is a sinner) and (if Victoria is a sinner then Ella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1027, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 8], [\"lying\", 7]]], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"->... | {"split": "train", "index": 7695} |
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: William, Riley, Lucas, Henry, Jack, Samuel, Abigail, Evelyn, and Oliver. In William's words: \"Jack is a knave and (Henry is a knave)\". Riley stated... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1028, \"statements\": [[\"and\", [\"lying\", 4], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"lying\",... | {"split": "train", "index": 7696} |
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, Mia, Amelia, Avery, Riley, Owen, William, Scarlett, and Sebastian. Aurora was heard saying, \"(Avery is a hero if and only if Avery is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1029, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 8... | {"split": "train", "index": 7697} |
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: Oliver, Charlotte, Sophia, Mason, Penelope, Lily, Luke, Olivia, and Avery. Oliver asserted: \"(Mason is a sinner if and only if Penelope is a saint) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1030, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 0], [... | {"split": "train", "index": 7698} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Avery, Penelope, Evelyn, Jackson, Owen, Aiden, Joseph, Sophia, and Olivia. Avery said that (Sophia is a devil if and only if Aiden is a devil) or Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1031, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 5]], [\"lying\", 7]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"not\", [\"and\", [\"lying\", 1], [\"telling-... | {"split": "train", "index": 7699} |
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