data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | 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 5 inhabitants: Charlotte, Liam, Emily, Aurora, and Jacob. Charlotte expressed that ((Jacob is a knight or Liam is a knave or Liam is a knight) or (Charlotte is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 922, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 18700} |
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 5 inhabitants: Zoey, Lily, Victoria, Ethan, and Daniel. Zoey said that ((Daniel is a sinner if and only if Victoria is a sinner) and (Victoria is a saint or Lily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 923, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"or\... | {"split": "train", "index": 18701} |
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 5 inhabitants: Aria, Noah, Chloe, Riley, and Lucas. According to Aria, \"(if (if Aria is a saint then Chloe is a saint) then Riley is a sinner) and (if (Chloe is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 924, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 3]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]]... | {"split": "train", "index": 18702} |
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 5 inhabitants: Amelia, Chloe, Aria, Ethan, and Isabella. In Amelia's words: \"(it is not the case that (Chloe is a laggard or Amelia is a pioneer or Aria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 925, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"or\", [\"telling-truth\", 2], [\"telling-... | {"split": "train", "index": 18703} |
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 5 inhabitants: Jack, Lily, Victoria, Daniel, and Emily. In Jack's words: \"if (it is not the case that (Victoria is an altruist or Daniel is an egoist)) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 926, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 4], [\"telling-trut... | {"split": "train", "index": 18704} |
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 5 inhabitants: Jacob, Harper, Sebastian, Ella, and Benjamin. As Jacob put it, \"it is not the case that (if Harper is a hero then (Sebastian is a villain and Benjam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 927, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 4]]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], ... | {"split": "train", "index": 18705} |
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 5 inhabitants: Mia, Luke, Sophia, Ava, and Ethan. As Mia put it, \"(it is not the case that (Ethan is a sage)) if and only if Luke is a sage\". Luke was heard saying, \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 928, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 4]]], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"t... | {"split": "train", "index": 18706} |
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 5 inhabitants: Grace, Samuel, Abigail, Benjamin, and Chloe. Grace commented, \"(Samuel is a laggard and (Samuel is a pioneer) and (Samuel is a pioneer and Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 929, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 2], [\"and\", [\"lying\", 2], [\"lying\", 4]... | {"split": "train", "index": 18707} |
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 5 inhabitants: Lucas, Mia, Jack, Benjamin, and Aurora. \"Mia is an egoist,\" Lucas claimed. Mia noted, \"if (it is not the case that (Jack is an egoist and Be... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 930, \"statements\": [[\"lying\", 1], [\"->\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth... | {"split": "train", "index": 18708} |
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 5 inhabitants: Oliver, Alexander, Abigail, Sofia, and Elizabeth. Oliver said that (if (Oliver is an angel or Elizabeth is a devil or Alexander is an angel) then (Eliz... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 931, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]],... | {"split": "train", "index": 18709} |
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 5 inhabitants: Amelia, Harper, Michael, Sofia, and Logan. \"if (if (Sofia is a sinner and Michael is a sinner and Logan is a sinner) then (Logan is a saint and Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 932, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 4]], ... | {"split": "train", "index": 18710} |
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 5 inhabitants: Aurora, Luke, Sebastian, Michael, and Penelope. Aurora commented, \"Aurora is a pioneer or ((Penelope is a pioneer) if and only if (Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 933, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-tru... | {"split": "train", "index": 18711} |
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 5 inhabitants: Emily, Sofia, Daniel, Oliver, and Aria. According to Emily, \"it is not the case that (it is not the case that (Daniel is an angel or Daniel is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3]]]], [\"not\", [\"->\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"not\", ... | {"split": "train", "index": 18712} |
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 5 inhabitants: Lucas, Penelope, Benjamin, Riley, and Daniel. Lucas said that it is not the case that (if (Penelope is an altruist) then (Penelope is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]]], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-t... | {"split": "train", "index": 18713} |
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 5 inhabitants: Abigail, Michael, Charlotte, Elizabeth, and Matthew. Abigail said that ((Matthew is a villain if and only if Charlotte is a hero) if and only if (Mic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\... | {"split": "train", "index": 18714} |
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 5 inhabitants: Charlotte, Chloe, Logan, Lucas, and Aria. According to Charlotte, \"Chloe is a villain\". Chloe commented, \"((Lucas is a hero if and only if Charlot... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 937, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\... | {"split": "train", "index": 18715} |
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 5 inhabitants: Avery, Ethan, Penelope, James, and Emily. Avery expressed that Emily is an angel. Ethan was heard saying, \"it is not the case that ((James is a devil ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 938, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0]]]], [\"<=>\", [\"not\", [\"or\", [\"lying\... | {"split": "train", "index": 18716} |
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 5 inhabitants: Aria, David, Ethan, Olivia, and Victoria. Aria remarked, \"Victoria is a laggard\". David said, \"it is not the case that ((David is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"lying\", 4], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]], [\"not\", [\"lying\", 0... | {"split": "train", "index": 18717} |
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 5 inhabitants: Jacob, Ava, Benjamin, Henry, and Owen. As Jacob put it, \"((Henry is a devil and Henry is an angel and Ava is an angel) if and only if (Jacob is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 1], [... | {"split": "train", "index": 18718} |
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 5 inhabitants: Logan, Noah, Samuel, Ava, and Mason. Logan expressed that (it is not the case that (Noah is a sinner and Logan is a saint)) or (it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 941, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"lying\", 1]]]], [\"lying\", 3], [\"or\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\"... | {"split": "train", "index": 18719} |
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 5 inhabitants: Sophia, Lily, William, Noah, and Avery. Sophia told you that Avery is an angel or ((Sophia is an angel or Noah is a devil) or Sophia is an angel or (Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 942, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 0], [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 0]]]], [\"or\", [\"telling... | {"split": "train", "index": 18720} |
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 5 inhabitants: David, Ethan, Aurora, Mason, and Abigail. \"Aurora is a sage\" - David. Ethan was heard saying, \"((Aurora is a sage) or Abigail is a sage) and Abigail is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 943, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]... | {"split": "train", "index": 18721} |
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 5 inhabitants: Penelope, Luke, Oliver, Isabella, and Evelyn. Penelope was heard saying, \"Luke is a hero\". Luke asserted: \"it is not the case that (it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 944, \"statements\": [[\"not\", [\"lying\", 1]], [\"not\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 18722} |
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 5 inhabitants: Abigail, Jacob, Olivia, Ella, and Grace. Abigail stated, \"(it is not the case that (Ella is a knave)) if and only if (it is not the case that (Olivi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 945, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4], [... | {"split": "train", "index": 18723} |
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 5 inhabitants: Mia, Oliver, Victoria, Isabella, and Michael. Mia stated, \"Michael is an egoist\". In Oliver's words: \"((Oliver is an altruist and Isabella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 946, \"statements\": [[\"lying\", 4], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"lying\", 3], [\"and\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 2]... | {"split": "train", "index": 18724} |
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 5 inhabitants: Logan, Owen, David, Noah, and Jack. Logan stated, \"((Logan is a hero and Jack is a villain and Noah is a hero and Jack is a hero) and (Noah is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 947, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-t... | {"split": "train", "index": 18725} |
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 5 inhabitants: James, Ava, Ethan, Liam, and Jackson. James remarked, \"((if Jackson is a sage then Ethan is a fool) or (if Liam is a sage then Ethan is a fool) or (Jackso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 948, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"not... | {"split": "train", "index": 18726} |
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 5 inhabitants: Jack, Zoey, William, Alexander, and Elizabeth. Jack was heard saying, \"it is not the case that (if (if Jack is a pioneer then Zoey is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 949, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\",... | {"split": "train", "index": 18727} |
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 5 inhabitants: Lucas, Aria, Sofia, Mason, and Aiden. Lucas stated, \"if (it is not the case that (Sofia is an angel and Aiden is a devil)) then (Mason is a devil if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 950, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"lying\", 3], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\... | {"split": "train", "index": 18728} |
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 5 inhabitants: Grace, Ava, Joseph, Penelope, and Aria. \"((Penelope is an angel) and (Penelope is a devil) and (if Ava is an angel then Joseph is a devil) and (Ava is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 951, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 3], [... | {"split": "train", "index": 18729} |
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 5 inhabitants: Aiden, Olivia, Sebastian, Logan, and Lily. Aiden stated, \"((if Lily is a knight then Logan is a knave) and (Lily is a knave)) or (Aiden is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"l... | {"split": "train", "index": 18730} |
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 5 inhabitants: Aria, Sophia, Ethan, Jackson, and Sebastian. Aria said that if ((Ethan is a knight if and only if Jackson is a knight) and Jackson is a knight) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 953, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2],... | {"split": "train", "index": 18731} |
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 5 inhabitants: David, Sophia, Evelyn, Lily, and Daniel. David said that if (if Sophia is a laggard then (David is a pioneer and Daniel is a laggard and Evelyn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 954, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 4], ... | {"split": "train", "index": 18732} |
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 5 inhabitants: Jacob, William, Sophia, Daniel, and Oliver. In Jacob's words: \"((if Daniel is a pioneer then Daniel is a laggard) or (Oliver is a laggard or S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 955, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-t... | {"split": "train", "index": 18733} |
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 5 inhabitants: Emma, David, Zoey, Aria, and William. Emma asserted: \"if William is an altruist then (it is not the case that (if Zoey is an egoist then David... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 956, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 1]]]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"and\", ... | {"split": "train", "index": 18734} |
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 5 inhabitants: Aiden, Sebastian, Owen, Grace, and Samuel. Aiden stated, \"if ((Owen is a saint if and only if Samuel is a sinner) if and only if Samuel is a saint) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 957, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 4]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"or\", [\"lying\", 4], [\"->\", [\"telling-tr... | {"split": "train", "index": 18735} |
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 5 inhabitants: Harper, Michael, Liam, Oliver, and Penelope. Harper was heard saying, \"(Harper is a sage and Michael is a sage and (Penelope is a fool or Michael is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 958, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\... | {"split": "train", "index": 18736} |
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 5 inhabitants: Lily, Harper, Charlotte, Sophia, and Liam. \"((Harper is an altruist) or (Harper is an altruist or Liam is an altruist or Sophia is an egoist o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 959, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"tellin... | {"split": "train", "index": 18737} |
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 5 inhabitants: Jackson, Matthew, Sofia, Henry, and Jacob. Jackson said that (if Jacob is an angel then (Sofia is an angel)) if and only if ((Henry is an angel if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 960, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"not\", [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\",... | {"split": "train", "index": 18738} |
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 5 inhabitants: Samuel, Riley, Liam, Charlotte, and Luke. Samuel said that ((Luke is a sinner) if and only if (Luke is a saint or Liam is a saint)) if and only if Ri... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 961, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-t... | {"split": "train", "index": 18739} |
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 5 inhabitants: Elizabeth, Michael, Jackson, Amelia, and Mia. According to Elizabeth, \"Michael is a devil\". \"(if (Jackson is a devil) then (Michael is an angel if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 962, \"statements\": [[\"lying\", 1], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"lying\", 2], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"t... | {"split": "train", "index": 18740} |
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 5 inhabitants: Mia, Aiden, Victoria, Emma, and Daniel. Mia asserted: \"it is not the case that (if (Mia is an angel if and only if Victoria is an angel) then (if Emma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 963, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 0]... | {"split": "train", "index": 18741} |
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 5 inhabitants: Aiden, Scarlett, Penelope, Aria, and Harper. \"it is not the case that ((Aria is a saint) or (Harper is a sinner or Scarlett is a sinner) or (Penelop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 964, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"or\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\",... | {"split": "train", "index": 18742} |
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 5 inhabitants: Harper, Jackson, Emma, Riley, and William. Harper asserted: \"if Riley is a saint then ((if Riley is a sinner then Emma is a saint) and (William is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 965, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1], [\"lying\"... | {"split": "train", "index": 18743} |
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 5 inhabitants: Scarlett, William, Chloe, Michael, and Grace. Scarlett was heard saying, \"Michael is a knight\". William expressed that (if Scarlett is a knight the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 966, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [... | {"split": "train", "index": 18744} |
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 5 inhabitants: Emma, David, Ethan, Ava, and Owen. \"(Ethan is a sage and (Ethan is a fool and Owen is a sage and Ethan is a sage)) and ((Ava is a sage) and (Owen is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 967, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1... | {"split": "train", "index": 18745} |
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 5 inhabitants: Charlotte, William, Ava, Lily, and Ethan. In Charlotte's words: \"it is not the case that ((Ava is a sinner if and only if William is a sinner) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 968, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 1]]]], [\"lying\", 2], [\"->\", [\"<=>\", [\"or\", [\"lying\", 3], [\"te... | {"split": "train", "index": 18746} |
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 5 inhabitants: Emma, Abigail, Oliver, Henry, and Owen. According to Emma, \"Henry is an egoist\". As Abigail put it, \"it is not the case that ((if Emma is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 969, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\... | {"split": "train", "index": 18747} |
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 5 inhabitants: Mason, Daniel, Liam, Chloe, and Jackson. Mason said, \"(if (Liam is a saint or Mason is a saint or Chloe is a saint or Jackson is a sinner) then (Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 970, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\... | {"split": "train", "index": 18748} |
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 5 inhabitants: Victoria, Amelia, Samuel, Joseph, and Noah. In Victoria's words: \"Amelia is a villain if and only if ((if Samuel is a villain then Samuel is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 971, \"statements\": [[\"<=>\", [\"lying\", 1], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"->\", [\"or\"... | {"split": "train", "index": 18749} |
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 5 inhabitants: James, Alexander, Victoria, Henry, and Samuel. James stated, \"Alexander is an egoist\". As Alexander put it, \"if ((if James is an altruist th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 972, \"statements\": [[\"lying\", 1], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 4]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 4]... | {"split": "train", "index": 18750} |
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 5 inhabitants: Emily, William, Jacob, Lily, and Abigail. \"((Jacob is a villain if and only if Lily is a villain) and (Jacob is a villain) and (Lily is a hero or Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 973, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\",... | {"split": "train", "index": 18751} |
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 5 inhabitants: Mia, Olivia, Ava, Evelyn, and Victoria. \"(if (Olivia is a hero or Ava is a villain or Evelyn is a villain) then (Victoria is a hero)) and (Ava is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 974, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"and\", [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telli... | {"split": "train", "index": 18752} |
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 5 inhabitants: Amelia, Jackson, William, Scarlett, and Michael. In a statement by Amelia: \"if (if (if Amelia is an altruist then William is an altruist) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 975, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]]]... | {"split": "train", "index": 18753} |
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 5 inhabitants: Joseph, Sebastian, Samuel, Grace, and Chloe. Joseph commented, \"((if Sebastian is a fool then Samuel is a sage) if and only if (Joseph is a fool)) or (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 976, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\"... | {"split": "train", "index": 18754} |
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 5 inhabitants: Amelia, Mason, Michael, Olivia, and Chloe. In Amelia's words: \"(it is not the case that (Olivia is a laggard if and only if Michael is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 977, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"t... | {"split": "train", "index": 18755} |
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 5 inhabitants: Ava, William, Isabella, Joseph, and Chloe. \"((Chloe is a knight and William is a knave) if and only if (Isabella is a knave and Joseph is a knave)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 978, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", ... | {"split": "train", "index": 18756} |
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 5 inhabitants: Jack, Jacob, Sebastian, Abigail, and Olivia. \"(Jacob is an angel if and only if (Sebastian is a devil and Jacob is an angel and Olivia is an angel and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 979, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\... | {"split": "train", "index": 18757} |
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 5 inhabitants: Charlotte, Aurora, Owen, Jack, and Mia. Charlotte remarked, \"if Mia is a pioneer then (it is not the case that (if Owen is a pioneer then Mia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 980, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 4]], [... | {"split": "train", "index": 18758} |
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 5 inhabitants: Henry, Jack, Evelyn, Elizabeth, and Olivia. Henry told you that (if (Elizabeth is a laggard if and only if Jack is a laggard) then (if Evelyn i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 981, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 18759} |
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 5 inhabitants: Avery, Ethan, Harper, Sofia, and Joseph. Avery commented, \"Ethan is a sage\". Ethan commented, \"((Sofia is a sage) if and only if (Ethan is a sage if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 982, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"and\", ... | {"split": "train", "index": 18760} |
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 5 inhabitants: Daniel, Lily, Isabella, Alexander, and Aurora. \"it is not the case that (Alexander is a devil if and only if (Alexander is a devil))\" - Daniel. In Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 983, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\... | {"split": "train", "index": 18761} |
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 5 inhabitants: Ava, Zoey, Joseph, Benjamin, and Avery. As Ava put it, \"it is not the case that ((Benjamin is a fool and Benjamin is a sage) and Zoey is a sage)\". \"it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 984, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\... | {"split": "train", "index": 18762} |
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 5 inhabitants: Riley, Aria, David, Jackson, and Mia. Riley said, \"((if David is a villain then Aria is a villain) and (Aria is a villain or Aria is a hero or Jacks... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 985, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 3]]], [\"lying\", 1], [\"lying\", 2]], [\"lying\", 2], [\"or\", [\"and\", [\"and\... | {"split": "train", "index": 18763} |
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 5 inhabitants: Oliver, Ethan, Emma, Abigail, and Joseph. Oliver was heard saying, \"((Emma is a saint and Ethan is a saint) or (if Joseph is a saint then Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 986, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3],... | {"split": "train", "index": 18764} |
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 5 inhabitants: Emily, Alexander, Charlotte, Sophia, and Luke. Emily asserted: \"Charlotte is a fool and (Alexander is a sage if and only if (Alexander is a fool and Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 987, \"statements\": [[\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 0]]]], [\"and\", [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 3]]], [\"<=>\", [... | {"split": "train", "index": 18765} |
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 5 inhabitants: Jacob, Mason, Evelyn, Daniel, and Aiden. In a statement by Jacob: \"Aiden is an altruist\". Mason noted, \"(if (Evelyn is an altruist and Evely... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 988, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 1]],... | {"split": "train", "index": 18766} |
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 5 inhabitants: Sebastian, Riley, Benjamin, Michael, and Elizabeth. Sebastian asserted: \"Elizabeth is an egoist or (Sebastian is an altruist and (Michael is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 989, \"statements\": [[\"or\", [\"lying\", 4], [\"and\", [\"telling-truth\", 0], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 2]]], [\"telling-truth\", 1]], [\"lying\", 2], [\"not\", [\"and\", [\"and\", [\"telling-trut... | {"split": "train", "index": 18767} |
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 5 inhabitants: Zoey, Evelyn, Liam, Jacob, and Sebastian. Zoey was heard saying, \"if ((Sebastian is a sage if and only if Evelyn is a sage) or (Liam is a fool or Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 990, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 4]]], [\"lying\", 2]], [\"<=>\", [\"tellin... | {"split": "train", "index": 18768} |
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 5 inhabitants: Jacob, Elizabeth, Aurora, Alexander, and Isabella. Jacob commented, \"if (if (Aurora is a pioneer and Isabella is a pioneer) then (Alexander is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 991, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]... | {"split": "train", "index": 18769} |
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 5 inhabitants: Oliver, Joseph, Charlotte, Logan, and Ava. \"Ava is a sinner,\" Oliver mentioned. \"(Logan is a saint) if and only if (Ava is a saint or Logan is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 992, \"statements\": [[\"lying\", 4], [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-t... | {"split": "train", "index": 18770} |
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 5 inhabitants: Mia, Evelyn, Olivia, Aurora, and Ava. \"(Ava is a sage and (Ava is a sage if and only if Evelyn is a fool) and (Mia is a sage and Aurora is a fool and Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 993, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\"... | {"split": "train", "index": 18771} |
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 5 inhabitants: Liam, Matthew, Charlotte, Elizabeth, and Benjamin. \"(if (Matthew is a sinner and Liam is a saint and Elizabeth is a saint and Benjamin is a sinner) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 994, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"lying\", 3], [\"->\", [\"telling-truth\", 1],... | {"split": "train", "index": 18772} |
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 5 inhabitants: Aiden, Abigail, Daniel, Sebastian, and Avery. Aiden stated, \"(Avery is a sinner or (Sebastian is a saint and Avery is a saint)) if and only if ((Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 995, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0],... | {"split": "train", "index": 18773} |
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 5 inhabitants: Liam, Mia, Emily, Amelia, and Logan. Liam said that Mia is an angel. Mia said that ((if Liam is a devil then Amelia is an angel) and (Liam is a devil i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 996, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"lying\", 4]]... | {"split": "train", "index": 18774} |
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 5 inhabitants: Riley, Aria, Sebastian, Alexander, and Aiden. Riley said, \"Alexander is a sinner or (if (Sebastian is a sinner) then Riley is a saint) or ((Sebastia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 997, \"statements\": [[\"or\", [\"lying\", 3], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\",... | {"split": "train", "index": 18775} |
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 5 inhabitants: Luke, Grace, David, Charlotte, and Aria. Luke was heard saying, \"if ((if Luke is a hero then Grace is a villain) if and only if (Grace is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 998, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"not\", [\"telli... | {"split": "train", "index": 18776} |
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 5 inhabitants: Ella, Abigail, Jack, Victoria, and Samuel. As Ella put it, \"((Victoria is a hero if and only if Ella is a hero) if and only if (Victoria is a hero a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 999, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 1], [\"lyin... | {"split": "train", "index": 18777} |
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 5 inhabitants: Harper, James, Scarlett, Grace, and Lucas. Harper remarked, \"if ((Grace is a fool and Scarlett is a fool) or Lucas is a sage or (Lucas is a sage and Grace... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1000, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-tru... | {"split": "train", "index": 18778} |
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 5 inhabitants: Matthew, Lucas, Henry, Alexander, and Penelope. Matthew commented, \"if (Alexander is a pioneer) then ((Penelope is a pioneer if and only if Al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1001, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 1]]]], [\"->\", [\"not\", [\"->\", [\... | {"split": "train", "index": 18779} |
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 5 inhabitants: Ella, Jackson, Scarlett, Owen, and Liam. Ella noted, \"if Scarlett is a villain then (if (Liam is a villain and Owen is a hero and Ella is a hero and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1002, \"statements\": [[\"->\", [\"lying\", 2], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"->\", [\"or\", [\"and\"... | {"split": "train", "index": 18780} |
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 5 inhabitants: Alexander, Riley, Liam, Victoria, and Ella. Alexander told you that (Liam is an egoist or (Liam is an egoist or Alexander is an altruist or Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1003, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [... | {"split": "train", "index": 18781} |
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 5 inhabitants: Luke, Amelia, Daniel, Emma, and Ella. \"it is not the case that ((Daniel is a sinner or Emma is a sinner or Daniel is a saint or Luke is a saint) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1004, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"or\", ... | {"split": "train", "index": 18782} |
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 5 inhabitants: Avery, Mia, Scarlett, Luke, and Riley. Avery was heard saying, \"it is not the case that ((Scarlett is a villain or Scarlett is a hero or Mia is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1005, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 3]]], [... | {"split": "train", "index": 18783} |
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 5 inhabitants: Ella, Jacob, Mason, Henry, and Jack. Ella expressed that ((if Henry is a knave then Jacob is a knight) and (Henry is a knight and Jacob is a knave) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1006, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 4]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lyi... | {"split": "train", "index": 18784} |
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 5 inhabitants: Benjamin, Aria, Ella, Owen, and Ava. Benjamin said that if (if (if Aria is a fool then Ella is a sage) then (Owen is a fool or Owen is a sage or Ella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1007, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", ... | {"split": "train", "index": 18785} |
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 5 inhabitants: Jacob, Chloe, Daniel, Olivia, and Alexander. Jacob said that (Chloe is a knave and Alexander is a knave) and (it is not the case that (if Alexander i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1008, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\... | {"split": "train", "index": 18786} |
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 5 inhabitants: Penelope, Isabella, Scarlett, Jackson, and Lucas. Penelope noted, \"((Lucas is an angel or Scarlett is an angel or Jackson is a devil) or (if Penelope ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1009, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lyin... | {"split": "train", "index": 18787} |
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 5 inhabitants: Benjamin, Victoria, Emily, Isabella, and Zoey. Benjamin stated, \"((Victoria is a knight) or (Zoey is a knight and Victoria is a knave and Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1010, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 1]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-tr... | {"split": "train", "index": 18788} |
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 5 inhabitants: Riley, Olivia, Abigail, Chloe, and Logan. In Riley's words: \"it is not the case that (it is not the case that (Chloe is a saint))\". Olivia said, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1011, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 3]], [\"or\", [\"->\... | {"split": "train", "index": 18789} |
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 5 inhabitants: Grace, Charlotte, David, Luke, and Michael. According to Grace, \"(it is not the case that (if Charlotte is an egoist then Luke is an egoist)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1012, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"lying\", 1], [\"and\", [\"telling-truth\", 1], [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 18790} |
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 5 inhabitants: Logan, Aurora, Evelyn, Jacob, and Harper. Logan noted, \"if ((Aurora is a sage or Jacob is a sage or Harper is a sage or Aurora is a fool) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1013, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 1],... | {"split": "train", "index": 18791} |
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 5 inhabitants: Aiden, Logan, Harper, Charlotte, and Abigail. Aiden expressed that ((Abigail is a sinner if and only if Aiden is a saint) or (Logan is a saint and Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1014, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 2]... | {"split": "train", "index": 18792} |
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 5 inhabitants: Victoria, Henry, Sophia, Grace, and Benjamin. Victoria asserted: \"((Grace is an altruist or Benjamin is an altruist or Grace is an egoist) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1015, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"a... | {"split": "train", "index": 18793} |
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 5 inhabitants: Harper, Sophia, Owen, Alexander, and Evelyn. As Harper put it, \"(if Alexander is a knave then (Owen is a knight or Alexander is a knight or Alexande... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1016, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\"... | {"split": "train", "index": 18794} |
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 5 inhabitants: Emily, Daniel, James, Penelope, and Evelyn. \"if ((Emily is a knight if and only if Penelope is a knave) if and only if (if James is a knave then Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1017, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 18795} |
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 5 inhabitants: Riley, Daniel, Olivia, Mia, and Noah. \"((Daniel is a devil and Mia is an angel and Noah is a devil and Riley is an angel) and (Daniel is an angel or O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1018, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying... | {"split": "train", "index": 18796} |
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 5 inhabitants: Abigail, Aurora, Aria, David, and Penelope. \"if ((Penelope is a saint or Aurora is a sinner or Abigail is a saint or David is a sinner) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1019, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth... | {"split": "train", "index": 18797} |
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 5 inhabitants: Sebastian, Lily, Ava, Daniel, and Harper. \"if ((Ava is an angel if and only if Harper is an angel) if and only if (Sebastian is an angel or Harper is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1020, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"or\", [\... | {"split": "train", "index": 18798} |
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 5 inhabitants: Noah, Penelope, Scarlett, Avery, and Ethan. Noah stated, \"(it is not the case that (if Penelope is a laggard then Avery is a pioneer)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1021, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 3]]]], [\"not\", [... | {"split": "train", "index": 18799} |
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