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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Joseph, Samuel, Harper, Aiden, and Evelyn. \"it is not the case that (if (Samuel is an altruist or Harper is an egoist or Evelyn is an egoist) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1422, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]]], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<...
{"split": "train", "index": 19200}
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: Olivia, Abigail, Emily, Liam, and Sofia. Olivia told you that ((Liam is a devil or Abigail is a devil or Emily is a devil) if and only if (Abigail is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1423, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lyi...
{"split": "train", "index": 19201}
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: Joseph, Charlotte, Sofia, Victoria, and Ava. Joseph said, \"Ava is a knave if and only if ((Charlotte is a knight and Sofia is a knight and Sofia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1424, \"statements\": [[\"<=>\", [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"or\", [\"not\", [\"not\", [\"telling...
{"split": "train", "index": 19202}
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: Emma, Victoria, Aurora, David, and Benjamin. Emma said that if Emma is an angel then (if (Aurora is a devil if and only if Benjamin is a devil) then (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1425, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 4]]]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or...
{"split": "train", "index": 19203}
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, Benjamin, Joseph, Penelope, and Michael. Abigail commented, \"(if (Benjamin is a hero or Penelope is a hero) then (if Abigail is a hero then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1426, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"or\", [\"<...
{"split": "train", "index": 19204}
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, Evelyn, Benjamin, Emily, and Elizabeth. \"(Benjamin is a sinner if and only if Benjamin is a saint) if and only if (it is not the case that (E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1427, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [...
{"split": "train", "index": 19205}
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: Lily, Zoey, Harper, Joseph, and Daniel. Lily told you that (Joseph is a knight if and only if (Joseph is a knight if and only if Harper is a knight))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1428, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\...
{"split": "train", "index": 19206}
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: Amelia, Penelope, Zoey, Aiden, and Liam. \"Penelope is a knave,\" Amelia mentioned. \"it is not the case that (if (Amelia is a knight and Zoey is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1429, \"statements\": [[\"lying\", 1], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 2]]]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"ly...
{"split": "train", "index": 19207}
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, Avery, Lucas, Sebastian, and Olivia. \"((Sebastian is a pioneer) if and only if (Olivia is a laggard or Aria is a pioneer)) and Avery is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1430, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 1], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 4], [\"lyin...
{"split": "train", "index": 19208}
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: Emma, Logan, Joseph, Jacob, and Alexander. \"Alexander is a pioneer,\" Emma declared. Logan stated, \"Alexander is a laggard or (it is not the ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1431, \"statements\": [[\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\...
{"split": "train", "index": 19209}
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, Aria, William, Noah, and Lucas. \"Lucas is a sinner,\" Oliver declared. Aria told you that (if (William is a sinner and William is a saint an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1432, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"lying\", 3], [\"telling-truth\"...
{"split": "train", "index": 19210}
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: Daniel, Ava, Scarlett, Avery, and Isabella. \"((Isabella is a knight or Ava is a knave or Avery is a knight) or (Avery is a knave or Isabella is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1433, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\...
{"split": "train", "index": 19211}
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: Elizabeth, Daniel, Aiden, Emily, and James. Elizabeth was heard saying, \"(if (Emily is a sage or James is a sage) then Aiden is a sage) or Daniel is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1434, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"lying\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lyin...
{"split": "train", "index": 19212}
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: Mason, Lily, Mia, Emily, and Abigail. Mason was heard saying, \"Mia is a knave\". In a statement by Lily: \"((Lily is a knight if and only if Emily i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1435, \"statements\": [[\"lying\", 2], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 19213}
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: Benjamin, Oliver, Zoey, Aiden, and Lucas. \"Lucas is a saint,\" Benjamin declared. Oliver noted, \"if ((Aiden is a sinner and Lucas is a saint and Be...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1436, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"->\", [\"<=>\", [\"telling-truth\...
{"split": "train", "index": 19214}
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: Isabella, Evelyn, Olivia, Charlotte, and Aiden. Isabella asserted: \"(Charlotte is a pioneer if and only if (if Olivia is a laggard then Isabel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1437, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]], [\"lying\", 4]]...
{"split": "train", "index": 19215}
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: David, Victoria, Owen, Scarlett, and Sofia. \"Sofia is a devil,\" David mentioned. Victoria remarked, \"((if Owen is an angel then Sofia is an angel) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1438, \"statements\": [[\"lying\", 4], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 0]...
{"split": "train", "index": 19216}
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: Olivia, Sebastian, Matthew, Jacob, and Liam. Olivia said that Jacob is an egoist. According to Sebastian, \"if Matthew is an egoist then ((Jaco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1439, \"statements\": [[\"lying\", 3], [\"->\", [\"lying\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"tellin...
{"split": "train", "index": 19217}
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: Chloe, Penelope, Ella, Aiden, and Lily. Chloe remarked, \"(if Lily is a villain then Aiden is a villain) if and only if (it is not the case that (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1440, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 2]]]], [\"not\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"...
{"split": "train", "index": 19218}
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: Emma, Harper, Sophia, Liam, and Henry. Emma said that if (if (if Henry is a pioneer then Liam is a laggard) then (Harper is a laggard if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1441, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"n...
{"split": "train", "index": 19219}
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: Lily, Evelyn, Ava, Ethan, and Riley. In a statement by Lily: \"if ((Ethan is a knight and Evelyn is a knave) or (Riley is a knave or Evelyn is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1442, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\...
{"split": "train", "index": 19220}
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: Henry, James, Ella, Samuel, and Evelyn. Henry noted, \"((Henry is a hero or Samuel is a villain or James is a hero) and (James is a hero or Ella is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1443, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling...
{"split": "train", "index": 19221}
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: Alexander, Oliver, Mia, Evelyn, and Emma. Alexander stated, \"if ((if Mia is a knight then Oliver is a knave) or (Alexander is a knave)) then ((Evely...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1444, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth...
{"split": "train", "index": 19222}
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: Jackson, Sofia, James, Michael, and Alexander. \"if (James is a pioneer) then ((Michael is a laggard) and (Alexander is a pioneer if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1445, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\...
{"split": "train", "index": 19223}
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: David, Isabella, Logan, Ava, and Luke. According to David, \"(it is not the case that (Ava is a knave)) and Ava is a knave\". Isabella noted, \"(if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1446, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"lying\", 3]], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", ...
{"split": "train", "index": 19224}
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: Liam, James, Lucas, Mason, and Abigail. According to Liam, \"if ((Liam is a sage if and only if Lucas is a fool) or (Abigail is a fool) or (James is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1447, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", ...
{"split": "train", "index": 19225}
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: Alexander, Sebastian, Zoey, Michael, and Ava. According to Alexander, \"if ((Ava is a knave if and only if Zoey is a knave) and (Michael is a knave o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1448, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\"...
{"split": "train", "index": 19226}
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: Zoey, Lily, Aria, Ethan, and Elizabeth. Zoey said, \"(Lily is an egoist and (if Lily is an altruist then Zoey is an altruist)) and Ethan is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1449, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-trut...
{"split": "train", "index": 19227}
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: Noah, Emily, Benjamin, Lucas, and Isabella. Noah told you that if (if Noah is a sage then (Lucas is a sage if and only if Lucas is a fool)) then ((Emily is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1450, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]], ...
{"split": "train", "index": 19228}
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: Chloe, Grace, Lily, Ethan, and Harper. Chloe said that Lily is a pioneer. \"Chloe is a laggard and Lily is a pioneer and (it is not the case th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1451, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\",...
{"split": "train", "index": 19229}
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: Oliver, Chloe, Evelyn, Sofia, and Alexander. Oliver commented, \"Evelyn is a villain\". Chloe stated, \"Oliver is a hero\". \"(it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1452, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 0]]], [\"<=>\...
{"split": "train", "index": 19230}
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, Luke, Daniel, Olivia, and Jackson. As Zoey put it, \"(Daniel is a sage or (Olivia is a sage if and only if Jackson is a fool) or (Luke is a sage or D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1453, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\",...
{"split": "train", "index": 19231}
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, Amelia, Jack, Abigail, and Liam. Mia said, \"it is not the case that (if (Amelia is a fool and Jack is a sage and Abigail is a fool) then (if Amelia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1454, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 2]]], [\"not\",...
{"split": "train", "index": 19232}
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: Michael, Henry, Alexander, Elizabeth, and Grace. Michael remarked, \"if ((Alexander is a pioneer if and only if Henry is a pioneer) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1455, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 1]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 4]]], [\"<=>\", [\"not\", [\...
{"split": "train", "index": 19233}
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: Penelope, Aurora, Ava, Oliver, and Henry. \"if Ava is an altruist then ((if Ava is an egoist then Aurora is an egoist) or (Penelope is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1456, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"...
{"split": "train", "index": 19234}
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: Alexander, Sophia, Benjamin, Samuel, and Luke. Alexander said that ((Alexander is a sage and Sophia is a sage) if and only if (Luke is a fool)) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1457, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lyi...
{"split": "train", "index": 19235}
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, Elizabeth, Emily, Henry, and Luke. \"if ((Elizabeth is a knight and Henry is a knave) and (Elizabeth is a knight and Emily is a knave and Henr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1458, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth...
{"split": "train", "index": 19236}
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, Penelope, Joseph, Sophia, and Daniel. \"(Daniel is a villain) or (if (if Penelope is a hero then Joseph is a hero) then (Sophia is a villain o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1459, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 2]]]], ...
{"split": "train", "index": 19237}
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, Liam, Ava, Penelope, and Henry. \"it is not the case that ((Liam is a sinner if and only if Ava is a saint) and Samuel is a saint),\" Samuel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1460, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 4], [\"lying\", 2], [\"t...
{"split": "train", "index": 19238}
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: Matthew, Harper, Amelia, Elizabeth, and Henry. Matthew noted, \"if ((Harper is a fool) if and only if (Harper is a fool or Henry is a sage or Amelia is a f...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1461, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"telling-truth\", 2], [\"lying\",...
{"split": "train", "index": 19239}
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, Riley, Avery, and Mia. \"Avery is an angel,\" Sophia mentioned. Lily asserted: \"it is not the case that ((Mia is an angel or Riley is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1462, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 0], [\"lying\", 3]], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"and\", [\"lyin...
{"split": "train", "index": 19240}
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: Jackson, Luke, Sebastian, Charlotte, and Michael. \"Luke is a villain,\" Jackson claimed. Luke commented, \"Michael is a hero and ((Michael is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1463, \"statements\": [[\"lying\", 1], [\"and\", [\"telling-truth\", 4], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"->\", [\"lying\", 4], [\"...
{"split": "train", "index": 19241}
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: Aria, Henry, Sofia, Logan, and Abigail. Aria noted, \"(if (Henry is a sage if and only if Aria is a sage) then (Henry is a fool if and only if Sofia is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1464, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"te...
{"split": "train", "index": 19242}
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, Grace, Evelyn, Aria, and Riley. In a statement by Charlotte: \"Evelyn is a sinner\". \"(if (if Charlotte is a saint then Aria is a sinner)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1465, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 0]]], [\"telling-truth\", 4]], [\"or\", [\"or\", [\"tell...
{"split": "train", "index": 19243}
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: Matthew, Benjamin, Henry, Olivia, and Elizabeth. Matthew remarked, \"if (if (if Henry is an angel then Matthew is an angel) then (Olivia is an angel if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1466, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 1...
{"split": "train", "index": 19244}
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: Michael, James, Chloe, Jacob, and Ethan. Michael commented, \"if (Michael is an altruist or (Ethan is an egoist and James is an egoist and Jaco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1467, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling...
{"split": "train", "index": 19245}
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: Alexander, Grace, David, Lucas, and James. As Alexander put it, \"(Alexander is a knight and (David is a knave and Grace is a knave and Lucas is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1468, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"lying\", 4], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telli...
{"split": "train", "index": 19246}
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: Owen, Noah, Harper, Logan, and Jacob. \"Noah is a pioneer,\" Owen declared. Noah remarked, \"Harper is a pioneer\". Harper expressed that if ((...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1469, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 2], [\"->\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]], [\"not\",...
{"split": "train", "index": 19247}
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: Noah, Evelyn, Samuel, Charlotte, and Olivia. \"Charlotte is a knight or (it is not the case that (Samuel is a knave or Evelyn is a knave)),\" Noah cl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1470, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 1]]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lyi...
{"split": "train", "index": 19248}
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: Aurora, Oliver, Zoey, Grace, and Noah. Aurora told you that ((Grace is a knave and Zoey is a knight) if and only if (Noah is a knight or Grace is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1471, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]...
{"split": "train", "index": 19249}
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: Alexander, Chloe, Victoria, Sebastian, and Lily. Alexander said, \"((Chloe is an angel) and (Chloe is an angel or Alexander is an angel or Chloe is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1472, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"or...
{"split": "train", "index": 19250}
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: Aurora, Scarlett, Logan, Aria, and Sophia. In Aurora's words: \"Sophia is a sage\". Scarlett said, \"((if Aurora is a fool then Logan is a fool) or (Aria i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1473, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"telling-truth\", 4]], [\"<=>\", [...
{"split": "train", "index": 19251}
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: Matthew, Elizabeth, Jack, Zoey, and Scarlett. Matthew said, \"((Zoey is a hero or Scarlett is a villain or Scarlett is a hero or Elizabeth is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1474, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"no...
{"split": "train", "index": 19252}
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: Alexander, Avery, Mia, Jack, and Samuel. Alexander said that (it is not the case that (Samuel is a hero and Jack is a villain and Avery is a villain)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1475, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lyin...
{"split": "train", "index": 19253}
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: Mason, Isabella, Henry, Joseph, and Riley. Mason said, \"((if Henry is a laggard then Isabella is a laggard) and (Joseph is a pioneer or Riley ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1476, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 1], [\"not\", [\"telling-truth\", 3...
{"split": "train", "index": 19254}
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: Penelope, Jackson, Amelia, Avery, and Joseph. According to Penelope, \"(Joseph is a knave) or (if Amelia is a knight then Amelia is a knave) or ((Jos...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1477, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"tell...
{"split": "train", "index": 19255}
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, Charlotte, Chloe, Harper, and Jackson. Emily said, \"Charlotte is a villain.\" Charlotte commented, \"((if Emily is a hero then Chloe is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1478, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\...
{"split": "train", "index": 19256}
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: Penelope, Daniel, Evelyn, David, and Oliver. Penelope remarked, \"David is a fool\". Daniel was heard saying, \"Oliver is a sage\". \"Oliver is a sage,\" E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1479, \"statements\": [[\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 4], [\"or\", [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"tell...
{"split": "train", "index": 19257}
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: Olivia, Evelyn, David, Sophia, and Isabella. Olivia was heard saying, \"Sophia is an angel\". Evelyn expressed that Olivia is an angel. David noted, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1480, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 0]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\",...
{"split": "train", "index": 19258}
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: Liam, Sebastian, Elizabeth, Charlotte, and William. Liam remarked, \"((if Elizabeth is a villain then Sebastian is a villain) or William is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1481, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"lying\", 4], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\...
{"split": "train", "index": 19259}
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, Oliver, Jacob, Samuel, and William. \"if (Lucas is an egoist) then (if (Jacob is an egoist if and only if Oliver is an altruist) then Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1482, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"te...
{"split": "train", "index": 19260}
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: Sophia, Owen, Aurora, Emily, and James. In a statement by Sophia: \"Owen is a pioneer\". Owen was heard saying, \"Emily is a laggard\". Aurora ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1483, \"statements\": [[\"telling-truth\", 1], [\"lying\", 3], [\"and\", [\"or\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"lying\", 4]], [\"->\", [\"->\", ...
{"split": "train", "index": 19261}
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: Matthew, Henry, Amelia, Sophia, and Chloe. Matthew said, \"Sophia is a knave and (if (Sophia is a knave or Amelia is a knight or Chloe is a knave) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1484, \"statements\": [[\"and\", [\"lying\", 3], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 1]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], ...
{"split": "train", "index": 19262}
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, Lucas, Owen, Jack, and Ella. Emma expressed that (if (Owen is an egoist and Jack is an altruist) then (Owen is an altruist or Emma is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1485, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 1],...
{"split": "train", "index": 19263}
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, Emily, Elizabeth, and Mia. As Henry put it, \"((Henry is a pioneer or Elizabeth is a laggard) if and only if (if Henry is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1486, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"tel...
{"split": "train", "index": 19264}
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: Avery, Michael, Matthew, Mason, and Jackson. Avery stated, \"Jackson is a sinner\". Michael expressed that if Avery is a sinner then ((Mason is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1487, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0]...
{"split": "train", "index": 19265}
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, Riley, Aurora, Aria, and Lucas. Avery told you that ((if Aurora is a sage then Aria is a fool) and Lucas is a fool) and ((Riley is a fool if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1488, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 4]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2...
{"split": "train", "index": 19266}
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: Luke, Joseph, Ethan, Mason, and Ava. \"((Luke is an angel and Mason is an angel and Ava is a devil) if and only if (Ava is a devil)) and ((Ethan is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1489, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-tru...
{"split": "train", "index": 19267}
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: Noah, Ava, Emily, David, and Jacob. \"if ((David is an altruist) or (Noah is an altruist or Emily is an egoist or Emily is an altruist or David...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1490, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3]]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"->\", [\"lying\", 4], [\"te...
{"split": "train", "index": 19268}
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, Jackson, Sophia, Lily, and Charlotte. Harper said that ((Lily is a fool if and only if Sophia is a fool) or (Sophia is a sage and Lily is a sage an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1491, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 2]], [\"telling-truth\...
{"split": "train", "index": 19269}
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: Henry, Isabella, Benjamin, Evelyn, and Sophia. Henry told you that if (if (Sophia is a knight if and only if Sophia is a knave) then (Benjamin is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1492, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 4]]]], [\"...
{"split": "train", "index": 19270}
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: Amelia, Mia, Ava, Zoey, and Aria. Amelia commented, \"Zoey is a villain\". Mia commented, \"Ava is a hero\". \"if Mia is a villain then Zoey is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1493, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"tell...
{"split": "train", "index": 19271}
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, Abigail, Ava, David, and Matthew. \"(it is not the case that (Ava is a hero or Matthew is a hero or David is a hero)) if and only if ((Abig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1494, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 2]], [\"lying\", 3]]], [\"not\", [\"<...
{"split": "train", "index": 19272}
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: Evelyn, Lucas, David, Zoey, and Emma. As Evelyn put it, \"Emma is a sinner and (it is not the case that (David is a saint))\". Lucas expressed that E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1495, \"statements\": [[\"and\", [\"lying\", 4], [\"not\", [\"not\", [\"lying\", 2]]]], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], ...
{"split": "train", "index": 19273}
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: Ethan, Aurora, Henry, Michael, and Olivia. Ethan expressed that ((Aurora is a fool or Michael is a sage or Henry is a fool or Olivia is a fool) and (Olivia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1496, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"tel...
{"split": "train", "index": 19274}
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: Sophia, Emily, Grace, Lucas, and Liam. Sophia asserted: \"(if (if Emily is a hero then Liam is a villain) then (Liam is a hero if and only if Lucas i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1497, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 4], ...
{"split": "train", "index": 19275}
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: Chloe, Mason, Alexander, Olivia, and Amelia. \"Amelia is a devil or Mason is a devil or ((Mason is a devil if and only if Alexander is an angel) or (Al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1498, \"statements\": [[\"or\", [\"lying\", 4], [\"lying\", 1], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 2], [...
{"split": "train", "index": 19276}
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: Sebastian, Aria, William, Henry, and Noah. Sebastian asserted: \"(William is a sinner) if and only if Aria is a sinner\". \"((Noah is a sinner or Seb...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1499, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 1]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"tell...
{"split": "train", "index": 19277}
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: Lily, Aiden, Emma, Scarlett, and Logan. Lily noted, \"it is not the case that (it is not the case that (if Aiden is a fool then Logan is a fool))\". Aiden ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1500, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 4]]]], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 3]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\...
{"split": "train", "index": 19278}
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: Aurora, Noah, Avery, Charlotte, and Zoey. \"((Noah is a hero and Avery is a villain and Charlotte is a hero) and (if Avery is a hero then Noah is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1501, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\"...
{"split": "train", "index": 19279}
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: Luke, Jackson, Zoey, Amelia, and Olivia. Luke asserted: \"(if Zoey is an egoist then (Amelia is an altruist if and only if Amelia is an egoist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1502, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"not...
{"split": "train", "index": 19280}
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: Oliver, Ava, Benjamin, Joseph, and Ella. According to Oliver, \"it is not the case that (Joseph is a hero if and only if (Ava is a hero if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1503, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", ...
{"split": "train", "index": 19281}
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, Aiden, Sofia, Charlotte, and Harper. Zoey stated, \"((Aiden is a sinner) or (Aiden is a sinner or Charlotte is a saint) or (Harper is a saint i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1504, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 1...
{"split": "train", "index": 19282}
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, Chloe, Riley, Isabella, and Amelia. Lucas was heard saying, \"(it is not the case that (Chloe is an angel if and only if Riley is an angel)) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1505, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 4]]...
{"split": "train", "index": 19283}
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, Lily, Grace, Sebastian, and Riley. Mia expressed that (it is not the case that (Lily is a devil)) if and only if Sebastian is an angel. Lily said ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1506, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 3]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telli...
{"split": "train", "index": 19284}
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: Olivia, Sofia, Scarlett, Michael, and Liam. As Olivia put it, \"it is not the case that (if (Liam is a knave if and only if Liam is a knight) then Sc...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1507, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]], ...
{"split": "train", "index": 19285}
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: Lily, Ella, Daniel, Charlotte, and Grace. \"Daniel is a hero and ((if Lily is a hero then Ella is a villain) or Grace is a villain)\" - Lily. Ella re...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1508, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-tr...
{"split": "train", "index": 19286}
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: Victoria, Lucas, William, Logan, and Michael. According to Victoria, \"(Michael is a pioneer or Victoria is a pioneer or (Lucas is a laggard an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1509, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\...
{"split": "train", "index": 19287}
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: Jack, Sophia, Emma, Elizabeth, and James. Jack said, \"(if (if Elizabeth is a fool then James is a sage) then (Elizabeth is a sage or Jack is a sage)) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1510, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"->\", [\"telling-trut...
{"split": "train", "index": 19288}
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: Michael, Jack, Sofia, Emily, and Abigail. Michael remarked, \"it is not the case that (it is not the case that (Emily is a sage or Abigail is a fool))\". J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1511, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"...
{"split": "train", "index": 19289}
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: Penelope, Samuel, Daniel, William, and Lily. \"(Samuel is a laggard) and Samuel is a laggard and (it is not the case that (if Daniel is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1512, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 1], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 3]...
{"split": "train", "index": 19290}
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: Ella, Luke, David, Emily, and Grace. \"Luke is a saint or (it is not the case that (Grace is a sinner and Ella is a saint and David is a saint)) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1513, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-tru...
{"split": "train", "index": 19291}
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, Aiden, Samuel, Mason, and Daniel. Henry expressed that ((if Mason is a laggard then Henry is a pioneer) and (Samuel is a pioneer if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1514, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-tr...
{"split": "train", "index": 19292}
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: Mason, Charlotte, Isabella, Elizabeth, and Aiden. Mason noted, \"it is not the case that ((if Elizabeth is an altruist then Aiden is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1515, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"->\", [\"or\", [\"not\", [\"lying\", 2...
{"split": "train", "index": 19293}
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: David, Ava, Victoria, Lucas, and Oliver. David noted, \"if (if (Oliver is a saint or Victoria is a saint) then (Oliver is a sinner)) then (if (Ava is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1516, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 4], [\"tellin...
{"split": "train", "index": 19294}
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: Michael, Avery, Charlotte, Joseph, and Victoria. Michael expressed that Charlotte is a knave. Avery was heard saying, \"Charlotte is a knave\". In a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1517, \"statements\": [[\"lying\", 2], [\"lying\", 2], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"tellin...
{"split": "train", "index": 19295}
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, Ella, Alexander, Aria, and Benjamin. Logan expressed that ((Ella is a sage and Aria is a sage and Alexander is a sage) if and only if (if Aria is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1518, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 0],...
{"split": "train", "index": 19296}
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, Daniel, Benjamin, David, and Penelope. As Mia put it, \"Benjamin is a villain\". Daniel noted, \"(if (Penelope is a hero if and only if Benjamin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1519, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 4], ...
{"split": "train", "index": 19297}
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: Jacob, Scarlett, Harper, Alexander, and Luke. Jacob remarked, \"(if (if Luke is a sage then Scarlett is a fool) then (Scarlett is a sage and Harper is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1520, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lyi...
{"split": "train", "index": 19298}
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: Evelyn, Samuel, David, Isabella, and Lucas. Evelyn told you that (if David is a villain then (Isabella is a hero or Lucas is a hero or Samuel is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1521, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 3]]], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"<=>\", [\"<=>\", [\"lyin...
{"split": "train", "index": 19299}