data_source
stringclasses
1 value
prompt
stringlengths
948
4.18k
ability
stringclasses
1 value
reward_model
stringlengths
1.89k
8.09k
extra_info
stringlengths
30
34
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jacob, Sophia, Joseph, Ava, Aurora, Emily, Victoria, Ethan, and Evelyn. \"if (Joseph is an altruist if and only if Jacob is an altruist) then J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 632, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"and\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 6]], [\"ly...
{"split": "train", "index": 7300}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Matthew, Mason, David, Daniel, Emily, Alexander, Ava, and Avery. In a statement by Jackson: \"(Matthew is a knight) and (Emily is a knight i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 633, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 3]], [\"lying\", 8]], [\"and\", [\"or\", [\"telling-truth\",...
{"split": "train", "index": 7301}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: James, Emma, William, Sophia, Henry, Sofia, Jackson, Olivia, and David. James commented, \"(James is an altruist if and only if Sophia is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 634, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"not\", [\"lying\", 7]], [\"->\", [\"or\", [\"lying\", 7], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\",...
{"split": "train", "index": 7302}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Penelope, Olivia, Jackson, Ella, Charlotte, Jacob, Aria, Ava, and Luke. As Penelope put it, \"if (Penelope is an altruist or Luke is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 635, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"and\", [\"lying\", 3], [\"lying\", 8]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 5]], [\"and\", [\"lying\", 3], [\"lyin...
{"split": "train", "index": 7303}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Evelyn, Chloe, Ella, Grace, Jack, Daniel, Liam, Amelia, and Alexander. Evelyn noted, \"(Amelia is a villain) or (Grace is a hero)\". Chloe said, \"(C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 636, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], ...
{"split": "train", "index": 7304}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sophia, Elizabeth, Daniel, Lily, Ethan, Alexander, Logan, Isabella, and Aurora. Sophia noted, \"Lily is a hero\". \"(if Elizabeth is a hero then Isab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 637, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]], [\"->\", [\"telling-tru...
{"split": "train", "index": 7305}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, Amelia, Chloe, Sebastian, Emily, Aria, Luke, Logan, and Joseph. Mia noted, \"(if Emily is an altruist then Sebastian is an altruist) and L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 638, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 6]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"or\", [\"->\...
{"split": "train", "index": 7306}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Logan, Aria, Sofia, Mason, Jack, Alexander, Penelope, Grace, and Isabella. Logan commented, \"(Isabella is a knave or Sofia is a knave) and (Penelope...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 639, \"statements\": [[\"and\", [\"or\", [\"lying\", 8], [\"lying\", 2]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"<=>\...
{"split": "train", "index": 7307}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ethan, Henry, Aria, Charlotte, Elizabeth, Lucas, Abigail, Chloe, and Mason. Ethan remarked, \"(Lucas is an egoist and Chloe is an egoist) or (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 640, \"statements\": [[\"or\", [\"and\", [\"lying\", 5], [\"lying\", 7]], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"or\", [\"lying\", 3], [\"not\", [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"l...
{"split": "train", "index": 7308}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Olivia, Sebastian, Daniel, Alexander, Sophia, Harper, Ava, Abigail, and Benjamin. Olivia commented, \"(Daniel is an altruist or Alexander is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 641, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 6]], [\"not\", [\"lying\", 5]]], [\"a...
{"split": "train", "index": 7309}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: James, Henry, Matthew, Benjamin, Daniel, Amelia, Sofia, Aurora, and Lily. As James put it, \"if (Henry is a sage and Benjamin is a fool) then (if Daniel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 642, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth...
{"split": "train", "index": 7310}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Daniel, Alexander, James, Samuel, Aria, Ava, Sofia, Charlotte, and Emily. Daniel noted, \"Alexander is a saint\". As Alexander put it, \"(Sofia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 643, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"and\", [\"lying\", 5], [\"lying\", 6]]], [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"tell...
{"split": "train", "index": 7311}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Avery, Oliver, Aria, Sofia, Jackson, Mia, Owen, Lucas, and Jack. Avery remarked, \"(Owen is a saint or Owen is a sinner) and (Sofia is a sinner)\". O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 644, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 6]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]]], ...
{"split": "train", "index": 7312}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Owen, Abigail, Samuel, Scarlett, Mason, Jacob, Riley, Logan, and Zoey. \"it is not the case that (Samuel is a sage),\" Owen claimed. Abigail noted, \"(Maso...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 645, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 8]], [\"and\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"or\", [\"telling-truth\", 5], [\"<=>\", [\"lying\",...
{"split": "train", "index": 7313}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mason, Lily, Mia, Amelia, David, Jackson, Michael, Ella, and Ethan. Mason told you that David is a knight. Lily was heard saying, \"if (Michael is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 646, \"statements\": [[\"not\", [\"lying\", 4]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 4]], [\"telling-truth\", 5]], [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"telling-trut...
{"split": "train", "index": 7314}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Logan, Michael, Lily, Aria, Amelia, Sebastian, Charlotte, William, and Aurora. Logan stated, \"(Michael is a knave) and (Lily is a knight)\". \"(if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 647, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 7]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"<=>\", [\"telling-truth\...
{"split": "train", "index": 7315}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Ella, Harper, Ava, Isabella, Sofia, Joseph, Abigail, and Emma. According to Owen, \"(Ava is an angel) if and only if (if Harper is an angel then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 648, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"not\", [\"telli...
{"split": "train", "index": 7316}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aria, Samuel, Jackson, Abigail, Ethan, Lily, William, Emily, and Emma. According to Aria, \"it is not the case that (Lily is a knave and Emma is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 649, \"statements\": [[\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"lying\", 3], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]...
{"split": "train", "index": 7317}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lily, Grace, Sophia, Ethan, Chloe, Logan, Oliver, Scarlett, and Amelia. Lily was heard saying, \"Ethan is a sinner\". Grace remarked, \"it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 650, \"statements\": [[\"lying\", 3], [\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"->\...
{"split": "train", "index": 7318}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aurora, Scarlett, Lucas, Daniel, Henry, Jack, David, Olivia, and Penelope. Aurora stated, \"Henry is a sinner\". According to Scarlett, \"if (Henry i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 651, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\"and\", [\"lying\", 0], [\"lying\", 5]], [\"and\",...
{"split": "train", "index": 7319}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ava, Jackson, Olivia, Mia, Liam, Lily, Emma, Sebastian, and Samuel. As Ava put it, \"(Jackson is a knight if and only if Sebastian is a knight) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 652, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 0], [\"tell...
{"split": "train", "index": 7320}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Charlotte, Emily, Michael, Henry, Avery, Ethan, Amelia, Noah, and Sophia. Charlotte was heard saying, \"(Ethan is a sinner if and only if Henry is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 653, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]], [\"telling-truth\", 6]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"and\", [\"a...
{"split": "train", "index": 7321}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Logan, Samuel, Aiden, Jackson, Matthew, Jack, Elizabeth, Ella, and Luke. Logan commented, \"(Ella is a pioneer and Aiden is a laggard) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 654, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"lying\", 6], [\"te...
{"split": "train", "index": 7322}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ella, Amelia, Benjamin, Oliver, Logan, Harper, Avery, Sofia, and Charlotte. Ella told you that if (Amelia is a sage and Oliver is a fool) then Harper is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 655, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 5]], [\"->\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"telling-tr...
{"split": "train", "index": 7323}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ethan, Owen, Riley, James, Abigail, Amelia, Alexander, Lily, and Liam. In Ethan's words: \"(if James is an altruist then James is an egoist) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 656, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"telling-truth\", 8], [\"->\", [\"telling-truth\", 2], [\"or\", [\"lying\", 1], [\"lying\",...
{"split": "train", "index": 7324}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Riley, Sofia, Harper, Emily, Joseph, Oliver, Penelope, Emma, and Ella. Riley expressed that it is not the case that (Oliver is a hero or Emma is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 657, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 1]], [\"n...
{"split": "train", "index": 7325}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ava, Jackson, Luke, Michael, Penelope, Chloe, Evelyn, Oliver, and Ella. Ava commented, \"(Evelyn is a pioneer or Michael is a pioneer) and (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 658, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"->\", [\"lying\", 7], [\"lying\", 5]]], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"lying...
{"split": "train", "index": 7326}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Harper, Abigail, Henry, Chloe, Scarlett, Ava, Owen, Alexander, and Jack. Harper remarked, \"Henry is a laggard if and only if (Jack is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 659, \"statements\": [[\"<=>\", [\"lying\", 2], [\"and\", [\"lying\", 8], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"->\",...
{"split": "train", "index": 7327}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emily, Victoria, Sofia, Chloe, Grace, William, Aurora, Emma, and Riley. Emily said, \"if Grace is a sage then (William is a fool and Grace is a fool).\" Vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 660, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"and\", [\"lying\", 5], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 0]], [\"telling-truth\", 1]], [\"lying\", 5], [\"lying\", 0], [\"not\",...
{"split": "train", "index": 7328}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ethan, Sofia, Penelope, Emma, Logan, Owen, Alexander, Avery, and Abigail. According to Ethan, \"(Emma is an angel) or (if Penelope is a devil then Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 661, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"not\", [\"telling-...
{"split": "train", "index": 7329}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Daniel, Chloe, Mason, Victoria, Emily, Aiden, Aurora, Emma, and Olivia. Daniel asserted: \"(Olivia is a pioneer if and only if Aurora is a lagg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 662, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 4], [\"lying\", 6]]], [\"or...
{"split": "train", "index": 7330}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jack, Samuel, Avery, Abigail, Benjamin, Aiden, Sebastian, Joseph, and William. In a statement by Jack: \"(Aiden is an angel and Samuel is a devil) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 663, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 1]], [\"lying\", 1]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"and\...
{"split": "train", "index": 7331}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Michael, Jacob, Avery, Amelia, Aiden, Henry, William, Samuel, and Emma. In Michael's words: \"(Henry is a knight) if and only if (Henry is a knight o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 664, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"...
{"split": "train", "index": 7332}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Owen, Joseph, Daniel, Scarlett, Henry, Grace, Sophia, Penelope, and Victoria. Owen was heard saying, \"(Grace is an egoist if and only if Josep...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 665, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]], [\"telling-truth\", 7]], [\"lying\", 4], [\"not\", [\"telling-t...
{"split": "train", "index": 7333}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Olivia, Liam, Charlotte, Emma, Luke, Jacob, Victoria, and Evelyn. As Logan put it, \"Victoria is a hero\". Olivia noted, \"Emma is a hero\". L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 666, \"statements\": [[\"telling-truth\", 7], [\"telling-truth\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"or\", [\"lying\", 8], [\"and\", [\"lying\", 6], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"tel...
{"split": "train", "index": 7334}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Lily, Logan, Liam, Zoey, Amelia, James, Samuel, Mia, and Owen. \"Owen is a villain\" - Lily. Logan told you that James is a hero or (if James is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 667, \"statements\": [[\"lying\", 8], [\"or\", [\"telling-truth\", 5], [\"->\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\"...
{"split": "train", "index": 7335}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sebastian, Aria, Joseph, Owen, James, Lily, Avery, Grace, and Scarlett. In a statement by Sebastian: \"(Avery is a villain and Owen is a hero) or (Ow...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 668, \"statements\": [[\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"and\", [\"lying\", 0], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"->\", [\"tel...
{"split": "train", "index": 7336}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Liam, Ethan, Sofia, Avery, Oliver, Victoria, Elizabeth, Matthew, and Aiden. Liam noted, \"Oliver is a sinner\". \"(if Aiden is a sinner then Elizabet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 669, \"statements\": [[\"lying\", 4], [\"and\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 0], [\"lying\", 0], [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 6]], [\"and\", [\"lyi...
{"split": "train", "index": 7337}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Oliver, Victoria, Benjamin, Michael, Mason, Abigail, Emily, Avery, and Harper. In a statement by Oliver: \"(Michael is a sinner) and (Abigail is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 670, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 5], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 5]], [\"lying\", 3]], [\"<=>\", [\...
{"split": "train", "index": 7338}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Owen, Jacob, Emma, Logan, Lily, Penelope, Chloe, Scarlett, and Amelia. Owen asserted: \"it is not the case that (Scarlett is a knight if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 671, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"and\", [\"telling-truth\", 4], [\...
{"split": "train", "index": 7339}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: William, Samuel, Aria, David, Zoey, Ella, Sebastian, Jack, and Abigail. William noted, \"(Abigail is a knave) if and only if (Abigail is a knight and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 672, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"and\", [\"telling-truth\", 8], [\"lying\", 5]], [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 0]], [\"te...
{"split": "train", "index": 7340}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Charlotte, Abigail, Aurora, Joseph, Chloe, Scarlett, Sofia, Victoria, and Avery. Charlotte expressed that (if Chloe is a fool then Joseph is a sage) or (So...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 673, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 6], [\"lying\", 2]]], [\"<=>\", [\"lying\", 7], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"tel...
{"split": "train", "index": 7341}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sebastian, Sofia, Isabella, Benjamin, Aria, Amelia, Scarlett, Luke, and Harper. Sebastian stated, \"(Aria is a knight or Amelia is a knight) and (Har...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 674, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"and\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 3]], [\"and\", [\"telling-tr...
{"split": "train", "index": 7342}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Isabella, Grace, Ethan, Penelope, Michael, Ella, David, Samuel, and Aiden. Isabella told you that (if Aiden is an altruist then Ethan is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 675, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"->\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"or\", [\"or\", [\"lying\", 8], [\"lying\", 0]], [\"and\", [\"lying\", 2], [\"tellin...
{"split": "train", "index": 7343}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Scarlett, Liam, Victoria, Jack, Sophia, Ethan, Aria, and Penelope. Zoey said, \"Liam is an angel.\" Scarlett stated, \"it is not the case that (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 676, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"lying\", 8], [\"and\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"and\", [\"<=>\"...
{"split": "train", "index": 7344}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Riley, Sophia, Luke, Jackson, Alexander, Matthew, Grace, Oliver, and Benjamin. In a statement by Riley: \"(Sophia is an egoist if and only if B...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 677, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-...
{"split": "train", "index": 7345}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Liam, Ethan, Jack, Sebastian, Aurora, Ella, Jacob, Sophia, and Ava. \"(if Ethan is a saint then Aurora is a saint) or (Ella is a saint),\" Liam decla...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 678, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]]...
{"split": "train", "index": 7346}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Olivia, Mia, Grace, Aurora, James, Ava, Henry, Jacob, and Logan. Olivia was heard saying, \"Aurora is a sage\". Mia said that (James is a sage and Grace is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 679, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\...
{"split": "train", "index": 7347}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Henry, Harper, Jack, Chloe, Noah, Victoria, Logan, and Olivia. Emma commented, \"it is not the case that (Logan is a saint if and only if Victo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 680, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 6]], [\"lying\", 3]], [\"and\", [\"lying\", 6], [\"and\", [\"telling-truth\", 3], [\"telling-tr...
{"split": "train", "index": 7348}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Victoria, Lucas, Oliver, Mason, Henry, Charlotte, Abigail, Evelyn, and David. \"(Abigail is a villain or Mason is a hero) if and only if (Lucas is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 681, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 8]]], [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8]], [\"not\", [\"lying\", 6]]], [\"telling-t...
{"split": "train", "index": 7349}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Isabella, Scarlett, Olivia, Aurora, Aria, Owen, Sofia, Ava, and Penelope. Isabella said, \"(Penelope is a pioneer if and only if Ava is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 682, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"lying\", 8], [\"lying\", 5], [\"and\", [\"->\", [\"telling-truth\", 1], ...
{"split": "train", "index": 7350}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Matthew, Noah, Owen, Sebastian, Emily, Scarlett, Grace, Jack, and Riley. In a statement by Matthew: \"(Jack is a fool) and (if Emily is a sage then Noah is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 683, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\...
{"split": "train", "index": 7351}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Michael, Sebastian, Daniel, Grace, Matthew, Elizabeth, Charlotte, Mason, and Victoria. \"(Matthew is a fool if and only if Michael is a sage) or (if Mason ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 684, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 7], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\...
{"split": "train", "index": 7352}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Zoey, Ethan, Chloe, Sofia, Lucas, Grace, Mason, Noah, and Riley. Zoey remarked, \"if (if Sofia is a fool then Ethan is a fool) then (if Noah is a fool then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 685, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 7], [\"lying\", 8]]], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], ...
{"split": "train", "index": 7353}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Alexander, Noah, Scarlett, Sophia, Amelia, Liam, Lucas, Penelope, and Michael. Alexander said that Michael is a saint. Noah expressed that Sophia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 686, \"statements\": [[\"telling-truth\", 8], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 5], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]], [\"->\", [\"telling...
{"split": "train", "index": 7354}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lily, Riley, Zoey, Joseph, Matthew, Jacob, Chloe, Henry, and Ethan. Lily commented, \"(Zoey is a knight) and (Jacob is a knight or Matthew is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 687, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"->\", [\"<...
{"split": "train", "index": 7355}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Luke, Aria, Liam, William, Avery, Grace, Victoria, Henry, and Benjamin. Luke told you that if (if Aria is a laggard then William is a laggard) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 688, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 6], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"or\", [\"lying\", 2], [\"lying\", 7]]], [\"or\",...
{"split": "train", "index": 7356}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ava, Ethan, Olivia, Ella, Sebastian, Oliver, Evelyn, Lily, and Logan. In Ava's words: \"if (Oliver is a knight or Ava is a knight) then (Ella is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 689, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"lying\", 8]]], [\"lying\", 7], [\"and\", [\"not\", [\"...
{"split": "train", "index": 7357}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mason, Zoey, Michael, Riley, Ella, Jacob, Ethan, Elizabeth, and Sebastian. \"(Michael is an altruist) and (Michael is an altruist or Ella is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 690, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 6], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-trut...
{"split": "train", "index": 7358}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Matthew, Sofia, Sebastian, Zoey, Elizabeth, William, Isabella, Luke, and Owen. Matthew said, \"if (William is an angel or William is a devil) then Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 691, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5]], [\"lying\", 1]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"not\",...
{"split": "train", "index": 7359}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Abigail, Michael, James, Mia, Sofia, Emily, Matthew, Avery, and Oliver. \"Michael is a sinner,\" Abigail mentioned. In a statement by Michael: \"it i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 692, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]], [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"<=>\", [...
{"split": "train", "index": 7360}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Victoria, Mia, Abigail, Harper, Ethan, William, Benjamin, Henry, and Ava. Victoria noted, \"it is not the case that (Abigail is a fool and Victoria is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 693, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"->\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"t...
{"split": "train", "index": 7361}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aria, Matthew, Charlotte, Jacob, Jackson, Olivia, Amelia, Ethan, and Scarlett. Aria commented, \"Matthew is a saint\". In a statement by Matthew: \"i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 694, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 5], [\"lying\", 6]]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 8]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"<=>...
{"split": "train", "index": 7362}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ava, Lily, Aurora, Amelia, Ella, Alexander, Scarlett, Evelyn, and Charlotte. Ava expressed that if Scarlett is a devil then (Scarlett is an angel or Ev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 695, \"statements\": [[\"->\", [\"lying\", 6], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"te...
{"split": "train", "index": 7363}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emma, Sebastian, Benjamin, Chloe, Owen, Ella, Aiden, Riley, and Sofia. Emma expressed that if Sofia is a knave then Riley is a knave. In Sebastian's ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 696, \"statements\": [[\"->\", [\"lying\", 8], [\"lying\", 7]], [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"->\", [\"lying\", 8], [\"telling-truth...
{"split": "train", "index": 7364}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ella, Jack, Mason, Zoey, Luke, James, Sebastian, William, and Amelia. Ella told you that Jack is a knight. Jack was heard saying, \"if (Zoey is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 697, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-trut...
{"split": "train", "index": 7365}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Amelia, Harper, Riley, Mason, Isabella, Abigail, David, Aurora, and Sebastian. \"it is not the case that (if David is a devil then Riley is a devil),\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 698, \"statements\": [[\"not\", [\"->\", [\"lying\", 6], [\"lying\", 2]]], [\"telling-truth\", 8], [\"lying\", 6], [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [...
{"split": "train", "index": 7366}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Olivia, Lucas, Jackson, Jacob, Benjamin, Amelia, Abigail, Sofia, and Lily. Olivia asserted: \"Jacob is a laggard or (Jacob is a laggard if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 699, \"statements\": [[\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"and\"...
{"split": "train", "index": 7367}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sofia, Zoey, Samuel, Logan, Henry, Alexander, Charlotte, Evelyn, and Matthew. Sofia expressed that if (if Samuel is a knight then Henry is a knight) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 700, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 5]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\"...
{"split": "train", "index": 7368}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Grace, William, Lucas, Ethan, Aiden, James, Elizabeth, Michael, and Alexander. Grace said that (Michael is a knave if and only if Alexander is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 701, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"lying\", 0], [\"->\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"->\", [\"telling-trut...
{"split": "train", "index": 7369}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sophia, Ethan, Chloe, Penelope, William, Ella, Daniel, Victoria, and Harper. \"(Chloe is a villain if and only if Penelope is a villain) or (if Willi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 702, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 6]]], [\"not...
{"split": "train", "index": 7370}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Mason, Matthew, Elizabeth, Jack, Mia, Joseph, Aurora, Ethan, and Sophia. According to Mason, \"(Matthew is a saint or Matthew is a sinner) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 703, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"telling-truth\", 6], [\"->\", [\"lying\", 4], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", ...
{"split": "train", "index": 7371}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Noah, Jackson, Alexander, Abigail, Aurora, Olivia, Aria, Lily, and Ethan. Noah told you that Aurora is a pioneer. Jackson commented, \"if (Abig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 704, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\"...
{"split": "train", "index": 7372}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Chloe, Jackson, Lucas, Lily, James, Ethan, Sophia, Benjamin, and Amelia. In Chloe's words: \"Ethan is an angel\". In a statement by Jackson: \"Lucas is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 705, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"lying\", 2], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\...
{"split": "train", "index": 7373}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Victoria, Logan, Sofia, Mia, Benjamin, Samuel, Grace, Luke, and Emily. \"Samuel is a knave or (Benjamin is a knight or Sofia is a knight)\" - Victori...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 706, \"statements\": [[\"or\", [\"lying\", 5], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 5]], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 7]], [\"->\", [\"lying\", 3], [\"telli...
{"split": "train", "index": 7374}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Alexander, Lily, Lucas, Sofia, Ethan, Charlotte, Emma, Zoey, and Mason. Alexander asserted: \"Ethan is a laggard\". \"Sofia is a pioneer,\" Lil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 707, \"statements\": [[\"lying\", 4], [\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"lying\", 2], [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"tel...
{"split": "train", "index": 7375}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Avery, Zoey, David, Lily, Ethan, Sophia, Olivia, Aiden, and Riley. Avery expressed that if (Riley is a laggard or Zoey is a pioneer) then (Soph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 708, \"statements\": [[\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 5]]], [\"not...
{"split": "train", "index": 7376}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jacob, Chloe, Sofia, Amelia, James, Isabella, Mason, Olivia, and Grace. As Jacob put it, \"if (Sofia is a knave or Jacob is a knight) then (Grace is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 709, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"->\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\"...
{"split": "train", "index": 7377}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Matthew, Riley, Noah, Aria, Charlotte, Jack, Ella, Zoey, and Evelyn. According to Matthew, \"it is not the case that (Jack is a sage if and only if Ella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 710, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"not\", [\"not\", [\"...
{"split": "train", "index": 7378}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jackson, Sophia, Liam, Avery, Aiden, Sofia, Joseph, Abigail, and Amelia. As Jackson put it, \"Avery is a saint\". \"(Abigail is a sinner if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 711, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\"...
{"split": "train", "index": 7379}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Riley, Luke, Aiden, Jacob, Alexander, Jackson, Elizabeth, Harper, and Sebastian. Riley was heard saying, \"if (Jacob is a pioneer if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 712, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"telling-tru...
{"split": "train", "index": 7380}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Penelope, Sofia, Joseph, Alexander, Noah, Sophia, Grace, Mason, and Henry. Penelope was heard saying, \"if (Joseph is a sage if and only if Sofia is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 713, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]...
{"split": "train", "index": 7381}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mason, Lucas, Abigail, Evelyn, Matthew, Ella, Benjamin, Charlotte, and Samuel. In Mason's words: \"if (Mason is an angel and Evelyn is a devil) then (M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 714, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"lying\", 5]], [\"->\", [\"or\", [\"lyi...
{"split": "train", "index": 7382}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ava, Isabella, Emma, Joseph, Jackson, Sophia, Alexander, Grace, and Victoria. Ava told you that if Emma is a devil then (Victoria is a devil and Victor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 715, \"statements\": [[\"->\", [\"lying\", 2], [\"and\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"lying\", 8], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"lying\", 7]], [\"lying\", 7], [\"not\", ...
{"split": "train", "index": 7383}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Noah, Isabella, Charlotte, David, Mason, Daniel, James, Emma, and Victoria. \"(Victoria is a villain if and only if Mason is a hero) and (Isabella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 716, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"->\", [\"or\", [\"telling-tr...
{"split": "train", "index": 7384}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Grace, Victoria, Noah, Aiden, William, Michael, Harper, Penelope, and Mia. In a statement by Grace: \"it is not the case that (Harper is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 717, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"or\", [\"lying\", 2], [\"telling-truth\", 5]], [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [...
{"split": "train", "index": 7385}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Elizabeth, Emily, Aria, Lily, Penelope, Evelyn, Luke, and Isabella. \"(Isabella is a sinner or Elizabeth is a sinner) if and only if Lily is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 718, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 1]], [\"telling-truth\", 4]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", ...
{"split": "train", "index": 7386}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Olivia, Victoria, Avery, Sebastian, Ava, Jack, Matthew, Harper, and Alexander. Olivia asserted: \"it is not the case that (Harper is a fool)\". Victoria wa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 719, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"telling-truth\", 6]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=...
{"split": "train", "index": 7387}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jack, Matthew, Owen, Samuel, Daniel, Ethan, Grace, Scarlett, and Henry. \"(Ethan is a fool or Samuel is a fool) and (Matthew is a sage if and only if Owen ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 720, \"statements\": [[\"and\", [\"or\", [\"lying\", 5], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"lying\", 6...
{"split": "train", "index": 7388}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: James, Joseph, Victoria, Aria, Luke, Noah, Jack, Mason, and Liam. According to James, \"(if Liam is a laggard then Aria is a pioneer) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 721, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"telling-truth\", 7],...
{"split": "train", "index": 7389}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sophia, Ava, Sofia, Luke, Aiden, Zoey, Michael, Noah, and Liam. \"(if Luke is a laggard then Liam is a pioneer) if and only if Sophia is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 722, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 8]], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\...
{"split": "train", "index": 7390}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emma, Abigail, Daniel, Sofia, James, Chloe, Oliver, Jackson, and Aiden. \"it is not the case that (Sofia is a hero or Chloe is a hero),\" Emma mentio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 723, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"telling-truth\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"and\", [\"an...
{"split": "train", "index": 7391}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Isabella, Alexander, Sophia, Abigail, Jacob, Luke, Scarlett, Owen, and Noah. Isabella expressed that Owen is a devil. Alexander was heard saying, \"(No...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 724, \"statements\": [[\"lying\", 7], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 5]], [\"not\", [\"lying\", 8]]], [\"and\", [\"<=>\", [\"lying...
{"split": "train", "index": 7392}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Harper, Charlotte, Benjamin, Joseph, Grace, Michael, Matthew, Isabella, and David. Harper stated, \"Matthew is an egoist and (Benjamin is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 725, \"statements\": [[\"and\", [\"lying\", 6], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", ...
{"split": "train", "index": 7393}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Victoria, Aurora, Grace, Avery, Daniel, Harper, Owen, Mia, and Luke. \"Grace is a fool,\" Victoria declared. Aurora told you that if (Victoria is a fool) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 726, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"or\", [\"lying\", 6], [\"tell...
{"split": "train", "index": 7394}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aurora, Henry, Matthew, Ethan, Chloe, Luke, Samuel, Amelia, and Charlotte. Aurora stated, \"it is not the case that (Samuel is a sage and Aurora is a sage)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 727, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 7]]], [\"or\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 7395}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Samuel, Jackson, Alexander, Joseph, Benjamin, Avery, Charlotte, Owen, and Sebastian. In Samuel's words: \"Charlotte is a sinner\". As Jackson put it,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"lying\", 6], [\"telling-truth\", 0], [\"telling-truth\", 6], [\"->\", [\"lying\", 5], [\"->\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 6]], [\"<...
{"split": "train", "index": 7396}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ava, Emma, Jack, Joseph, Owen, Oliver, Ethan, Evelyn, and Aria. In Ava's words: \"if (Emma is a knight if and only if Ethan is a knight) then Owen is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 729, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"lying\", 1]], [\"<=...
{"split": "train", "index": 7397}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Riley, Samuel, Aurora, Jack, Elizabeth, Chloe, Lucas, Ella, and Liam. \"Samuel is a hero,\" Riley claimed. Samuel expressed that (if Jack is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 730, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 8]], [\"<=>\", [\"telling-trut...
{"split": "train", "index": 7398}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Elizabeth, Joseph, Michael, Penelope, Luke, Victoria, Liam, Aiden, and Zoey. \"(Luke is a knight or Penelope is a knave) if and only if (Liam is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 731, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 1],...
{"split": "train", "index": 7399}