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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, Ella, Matthew, Evelyn, Jackson, Alexander, Henry, Logan, and Ethan. Zoey said, \"(if Matthew is an angel then Alexander is an angel) and (Ella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 688, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 2]]],...
{"split": "train", "index": 11800}
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: Emma, Benjamin, Zoey, Sebastian, Aiden, Scarlett, Jacob, Amelia, and Riley. Emma remarked, \"(Amelia is an angel and Jacob is an angel) or (Scarlett is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 689, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\...
{"split": "train", "index": 11801}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Grace, Luke, Matthew, Amelia, Elizabeth, Daniel, Ava, Jack, and Lucas. Grace stated, \"(Daniel is a pioneer and Jack is a laggard and Amelia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 690, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 3]], [\"lying\", 1], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 5]]], [\"->\", ...
{"split": "train", "index": 11802}
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: David, Charlotte, Owen, Scarlett, Daniel, Harper, Jacob, Riley, and Amelia. In David's words: \"it is not the case that (Daniel is a hero if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 691, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 6], [\"telling-truth\", 6]], [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 5]...
{"split": "train", "index": 11803}
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, Elizabeth, Benjamin, Chloe, Aiden, Scarlett, Sofia, Ella, and Joseph. James told you that (if Joseph is a fool then Sofia is a fool) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 692, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"<=>\", [\"lying\", 6], [\"lying\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 7]]], [\"->...
{"split": "train", "index": 11804}
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: Aria, Isabella, Evelyn, Victoria, James, Penelope, Lucas, Lily, and William. Aria noted, \"(Lucas is an altruist or Isabella is an altruist or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 693, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1], [\"telling-truth\", 7], [\"lying\", 3]], [\"telling-truth\", 1], [\"->\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"...
{"split": "train", "index": 11805}
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: Michael, Charlotte, Oliver, Mason, Ava, Logan, Samuel, William, and Elizabeth. Michael expressed that (Charlotte is a pioneer) if and only if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 694, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 5], ...
{"split": "train", "index": 11806}
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: Amelia, Scarlett, Michael, Logan, Riley, Daniel, Noah, Owen, and Mia. In a statement by Amelia: \"(Amelia is a pioneer or Michael is a pioneer)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 695, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 8]], [\"lying\", 7]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"->\", [\"lying\", 8], [\"telling-truth...
{"split": "train", "index": 11807}
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: Matthew, Alexander, Zoey, Oliver, Ava, Samuel, Michael, Mason, and Lucas. Matthew asserted: \"(Samuel is a villain if and only if Samuel is a hero) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 696, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 5], [\"lying\", 0]], [\"telling-...
{"split": "train", "index": 11808}
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: Henry, Oliver, Jacob, Grace, Lily, Mia, Noah, Scarlett, and Aurora. \"(Oliver is a devil or Aurora is a devil or Mia is a devil) if and only if (Lily i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 697, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 8], [\"lying\", 5]], [\"and\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 6], [\"lying\", 5]]], [\"->\", [\"lying\", 0], [\"or\", [\"telling-truth\"...
{"split": "train", "index": 11809}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Luke, Sebastian, Olivia, Victoria, Emma, Scarlett, Benjamin, Ella, and Amelia. Luke commented, \"Benjamin is a saint\". \"it is not the case that (Vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 698, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 7], [\"lying\", 4], [\"lying\", 6]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 7], [\"telling-truth\...
{"split": "train", "index": 11810}
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, Jacob, Chloe, Aiden, Zoey, Lily, Daniel, Sebastian, and Scarlett. \"it is not the case that (Sebastian is a devil if and only if Zoey is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 699, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"lying\", 5], [\"lying\", 8], [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\",...
{"split": "train", "index": 11811}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ella, Aria, David, Jackson, Matthew, Lucas, Riley, Penelope, and Liam. \"Lucas is a pioneer,\" Ella claimed. In a statement by Aria: \"Ella is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 700, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"lying\", 0], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 6], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"lying\...
{"split": "train", "index": 11812}
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, Noah, Zoey, Scarlett, William, Jackson, Emily, Liam, and Sofia. \"(William is a fool or Jackson is a sage) if and only if (Sofia is a fool or Jackson...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 701, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"lying\", 7], [\"->\", [\"or\", [\"lying\",...
{"split": "train", "index": 11813}
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, Sophia, William, Alexander, Aria, Sofia, Ethan, Amelia, and Aurora. In a statement by Mia: \"(Sophia is an altruist) if and only if (Aria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 702, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8], [\"lying\", 4], [\"telling-truth\", 6]]], [\"telling-truth\", 8]...
{"split": "train", "index": 11814}
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: Mia, Benjamin, Charlotte, Henry, Chloe, Aurora, Alexander, Sebastian, and Oliver. \"(Sebastian is a sage) and (if Benjamin is a sage then Sebastian is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 703, \"statements\": [[\"and\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 5], [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-trut...
{"split": "train", "index": 11815}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emily, Aurora, Ethan, Emma, Daniel, Jack, Joseph, Sophia, and William. Emily was heard saying, \"(William is a knight or Jack is a knave or Joseph is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 704, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"telling-truth\", 6]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"...
{"split": "train", "index": 11816}
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: Michael, Grace, Samuel, Liam, Logan, Aria, Olivia, Emily, and Sebastian. Michael said, \"(Emily is a villain if and only if Emily is a hero) and (Gra...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 705, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 1], [\"lying\", 7]]], [\"lying\", 3], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\"...
{"split": "train", "index": 11817}
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: Michael, Oliver, Noah, Matthew, Sebastian, Elizabeth, Jacob, Evelyn, and Mia. According to Michael, \"if (Matthew is an egoist and Elizabeth is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 706, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 8], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 5]], [\"an...
{"split": "train", "index": 11818}
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, Sophia, Mia, Mason, Matthew, Luke, Chloe, William, and Daniel. Avery stated, \"(if Chloe is a saint then Daniel is a saint) if and only if (Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 707, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling...
{"split": "train", "index": 11819}
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: Daniel, Abigail, Emily, Scarlett, Jackson, Joseph, Lucas, Lily, and Luke. \"(Abigail is a fool) or (Lucas is a fool and Jackson is a sage and Lucas is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 708, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 6], [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"or\", [\"and...
{"split": "train", "index": 11820}
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: James, Chloe, Grace, Scarlett, Sophia, Olivia, Ella, Aria, and Charlotte. James said that it is not the case that (Sophia is a knight and Charlotte i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 709, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"or\", [\"or\", [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"->\"...
{"split": "train", "index": 11821}
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: Logan, Amelia, Penelope, Daniel, Sophia, Mason, Jacob, William, and Lily. \"if (if Sophia is a saint then Penelope is a sinner) then (Mason is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 710, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 5]]], [\"not\", [\"or\", [\"lying\", 6], [\"lying\", 7], [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"lying\", 3],...
{"split": "train", "index": 11822}
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, Ava, Harper, Joseph, Evelyn, Elizabeth, Amelia, Abigail, and Michael. James noted, \"if (Joseph is a fool if and only if Elizabeth is a fool) then M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 711, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"telling-truth\", 8]], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 4], [\"lying\", 7]], [\"and\", [\"telling-truth\"...
{"split": "train", "index": 11823}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, Owen, Joseph, Aiden, Grace, Aria, Ava, James, and Emily. In a statement by Mia: \"it is not the case that (if Owen is a villain then Ava is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 712, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"lying\", 6]]], [\"<=>\", [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 5], [\"lying\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1], [\"...
{"split": "train", "index": 11824}
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: David, Jacob, Avery, Abigail, Benjamin, Luke, Riley, Charlotte, and James. David said, \"(Benjamin is a devil) and (Riley is a devil if and only if Ave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 713, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"and\", [\"lying\", 7], [\"lying\", 2...
{"split": "train", "index": 11825}
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: Harper, Ethan, Luke, Zoey, Oliver, Ella, Grace, Aurora, and Victoria. \"(Aurora is a sage if and only if Harper is a sage) or (Grace is a fool) or (Aurora ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 714, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-tru...
{"split": "train", "index": 11826}
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: Noah, Scarlett, Harper, James, Avery, David, Luke, Mason, and Jackson. Noah remarked, \"if (James is a sinner or Harper is a saint or Luke is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 715, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"lying\", 3], [\"telli...
{"split": "train", "index": 11827}
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, Matthew, Grace, Charlotte, Michael, Ava, Aurora, David, and Owen. Logan noted, \"(Ava is a laggard or Ava is a pioneer) and (David is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 716, \"statements\": [[\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 7], [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"not\", ...
{"split": "train", "index": 11828}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Scarlett, Matthew, Aurora, Sofia, Elizabeth, Liam, Emily, Harper, and Alexander. \"(Matthew is a hero) if and only if (if Liam is a villain then Alex...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 717, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]...
{"split": "train", "index": 11829}
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: Amelia, Scarlett, Owen, Ethan, Evelyn, Logan, Isabella, Luke, and Michael. Amelia remarked, \"(if Logan is a sinner then Michael is a sinner) or Evel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 718, \"statements\": [[\"or\", [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"...
{"split": "train", "index": 11830}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ethan, Owen, Aiden, Noah, Grace, Logan, Matthew, Luke, and Mia. Ethan stated, \"it is not the case that (Owen is a hero or Mia is a villain)\". Owen ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 719, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"lying\", 8], [\"telling-truth\", 6], [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 7]], [\"and\", [\"lying\", 5], [\"lying\", 2], [\...
{"split": "train", "index": 11831}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mason, Aurora, Owen, Liam, James, Aiden, Mia, Riley, and Daniel. \"(James is a sage or Aiden is a fool) and (Aiden is a fool and Aurora is a fool and Owen ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 720, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5]], [\"and\", [\"lying\", 5], [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"lying\",...
{"split": "train", "index": 11832}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ethan, Riley, Henry, Aiden, Olivia, Jack, William, Owen, and Oliver. As Ethan put it, \"Olivia is a villain if and only if Riley is a hero\". Riley r...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 721, \"statements\": [[\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 3], [\"lying\", 6], [\"lying\", 0], [\"telling-truth\", 7]], [\"telling-truth\"...
{"split": "train", "index": 11833}
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, Henry, Elizabeth, Jackson, Jack, Lucas, Victoria, Amelia, and Mason. \"if (Lucas is a devil) then Henry is a devil,\" Owen mentioned. As Henry pu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 722, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 1]], [\"not\", [\"lying\", 7]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 1]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]...
{"split": "train", "index": 11834}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Grace, Sebastian, Amelia, Sophia, Henry, Owen, Logan, Ella, and Noah. As Grace put it, \"(if Sophia is an angel then Owen is an angel) or (if Amelia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 723, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"lying\", 2]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 3],...
{"split": "train", "index": 11835}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Scarlett, Lily, Chloe, Evelyn, Noah, Liam, Abigail, Jackson, and Aurora. Scarlett asserted: \"(Lily is a saint and Aurora is a saint) and (Jackson is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 724, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4], [\"telling-truth\", 5], [\"lying\", 6]], [\"and\", [\"telling-truth\", 3], [\"...
{"split": "train", "index": 11836}
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: Abigail, Jack, Matthew, Emily, Chloe, Owen, Jackson, Jacob, and Aurora. As Abigail put it, \"(Aurora is an egoist) and (Jack is an egoist if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 725, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 1], [\"lying\", 6]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 7], [\"telling-truth\", 3]]], [\"->\", [\"->\"...
{"split": "train", "index": 11837}
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, Henry, Harper, Aiden, Sofia, Mia, Ava, Emily, and Isabella. Owen said that (Harper is a devil if and only if Aiden is an angel) if and only if (A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 726, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 6]]], [\"lying\", 7], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]], [\"->\", [\"lying\", 0], [\"tel...
{"split": "train", "index": 11838}
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: William, Noah, Sofia, Evelyn, Emma, Isabella, Amelia, Emily, and Jacob. \"it is not the case that (Sofia is an egoist)\" - William. \"(Sofia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 727, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\...
{"split": "train", "index": 11839}
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, Matthew, Ava, Jackson, William, Lucas, Avery, Benjamin, and Logan. \"Logan is a hero if and only if (William is a villain),\" Evelyn mentione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"lying\", 8]], [\"->\", [\"lying\", 6], [\"lying\", 8]]], [\"lying\", 7], [\"and\...
{"split": "train", "index": 11840}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emily, Emma, Chloe, Samuel, Grace, Henry, Victoria, Olivia, and Ethan. \"it is not the case that (Grace is a knave),\" Emily declared. Emma asserted:...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 729, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 8], [\"<=>\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 4]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 5], [\"telling-tr...
{"split": "train", "index": 11841}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Matthew, Amelia, Avery, Zoey, Samuel, Lily, Chloe, Lucas, and Penelope. Matthew commented, \"Chloe is an egoist\". Amelia said, \"it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 730, \"statements\": [[\"lying\", 6], [\"not\", [\"not\", [\"lying\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", ...
{"split": "train", "index": 11842}
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: Benjamin, Chloe, Ethan, Charlotte, Penelope, Isabella, Mia, Scarlett, and Samuel. Benjamin expressed that it is not the case that (Isabella is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 731, \"statements\": [[\"not\", [\"and\", [\"lying\", 5], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 0], [\"->\", [\"and\", [\"lying\",...
{"split": "train", "index": 11843}
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: Chloe, Aiden, Henry, Grace, Sofia, Oliver, Owen, Sebastian, and Ava. As Chloe put it, \"(Aiden is a pioneer or Chloe is a pioneer or Sofia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 732, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 8], [\"ly...
{"split": "train", "index": 11844}
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: David, Penelope, William, Harper, Benjamin, Joseph, Lucas, Jack, and Victoria. David said that Lucas is an altruist. \"(David is an altruist an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 733, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 4], [\"lying\", 7], [\"lying\", 0]], [\"not\", [\"telling-...
{"split": "train", "index": 11845}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emily, Oliver, Benjamin, Sophia, Chloe, Ava, Aria, Harper, and Michael. Emily said that (Chloe is a villain if and only if Sophia is a villain) or (H...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 734, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 6]], [\"and\", [\"telling-truth\", 0], [\"lying\", 8]...
{"split": "train", "index": 11846}
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, Joseph, Samuel, Alexander, Jacob, Mia, Scarlett, Harper, and Ethan. In Aurora's words: \"it is not the case that (Samuel is a sinner or Josep...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 735, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 6]]], [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"tell...
{"split": "train", "index": 11847}
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: Sebastian, Luke, David, Henry, Riley, Mia, Elizabeth, Charlotte, and Mason. Sebastian remarked, \"(if Charlotte is a saint then David is a saint) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 736, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 5], [\"lying\", 8], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"lying\", 8], [\"<=>\", [\"telling...
{"split": "train", "index": 11848}
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: Logan, Lucas, Mason, Abigail, Avery, David, Henry, Amelia, and Elizabeth. \"(Elizabeth is a saint or Abigail is a sinner) or (if Avery is a saint the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 737, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 3], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 1]], [\"or\",...
{"split": "train", "index": 11849}
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: Chloe, Ava, Logan, Lily, Sebastian, Scarlett, Avery, Isabella, and Emily. Chloe commented, \"(Lily is a sage or Chloe is a sage) and (Sebastian is a sage o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", ...
{"split": "train", "index": 11850}
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: Henry, Luke, Joseph, Emily, James, Lily, Jacob, Avery, and Evelyn. \"Avery is a sinner\" - Henry. \"(if Henry is a saint then Evelyn is a saint) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 739, \"statements\": [[\"lying\", 7], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"lying\", 0]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"tellin...
{"split": "train", "index": 11851}
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: Benjamin, Henry, Amelia, Charlotte, Matthew, Jacob, Emily, Liam, and Harper. Benjamin stated, \"if (if Emily is an altruist then Amelia is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 740, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 6], [\"lying\", 4], [\"telling...
{"split": "train", "index": 11852}
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: James, Jacob, Daniel, Emily, Grace, Avery, Evelyn, Aria, and Benjamin. \"(Grace is a devil if and only if Avery is an angel) if and only if (Grace is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 741, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"lying\", 3], [\"lying\", 2]]], [\"lying\", 7], [\"->\", [\"lying\", 8], [\"->\", [\...
{"split": "train", "index": 11853}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Ella, Jacob, Charlotte, Alexander, Grace, Aiden, Penelope, and Emma. \"(Penelope is a villain or Charlotte is a villain or Jacob is a hero) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 742, \"statements\": [[\"and\", [\"or\", [\"lying\", 7], [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 7], [\"telling-truth\...
{"split": "train", "index": 11854}
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: Logan, Zoey, Henry, Abigail, Noah, Charlotte, William, Ella, and Olivia. Logan was heard saying, \"(Noah is a sinner and Charlotte is a sinner and Ol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 743, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 5], [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"and\", [\"lying\", 7], [\"telling-truth\",...
{"split": "train", "index": 11855}
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: Michael, Elizabeth, Daniel, Henry, Isabella, James, Amelia, Evelyn, and Lily. Michael was heard saying, \"(Evelyn is an altruist or Evelyn is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 744, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 7], [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"...
{"split": "train", "index": 11856}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Victoria, Charlotte, Michael, Emma, William, Jackson, Sophia, Luke, and Alexander. Victoria told you that Victoria is an angel and (if Alexander is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 745, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"->\", [\"lying\", 8], [\"telling-truth\", 4]], [\"not\", [\"lying\", 8]], [\"lying\", 1]], [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 7]], [\"telling-truth\...
{"split": "train", "index": 11857}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lucas, Isabella, David, Riley, Victoria, Luke, Sofia, Michael, and Emily. Lucas commented, \"Victoria is a knight\". As Isabella put it, \"David is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 746, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 2], [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"or\", [\"lying\", 3], [\"<=...
{"split": "train", "index": 11858}
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: Riley, Michael, Abigail, Noah, Alexander, Henry, Sophia, James, and Sebastian. In Riley's words: \"(Sophia is a saint) if and only if (Alexander is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 747, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 6]], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"tell...
{"split": "train", "index": 11859}
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: James, Lucas, Logan, Luke, Charlotte, David, Scarlett, Owen, and Victoria. In a statement by James: \"David is a devil\". As Lucas put it, \"(Charlotte...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 748, \"statements\": [[\"lying\", 5], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"lying\", 2]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 0], [\"lying\", 5], [\"<...
{"split": "train", "index": 11860}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lily, Jack, Mia, Oliver, David, Amelia, Abigail, Aria, and Penelope. In Lily's words: \"it is not the case that (Jack is a laggard)\". \"Penelo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 749, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"lying\", 8], [\"->\", [\"lying\", 2], [\"telling-truth\", 7]], [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], ...
{"split": "train", "index": 11861}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ella, Avery, Charlotte, Jacob, Benjamin, Daniel, Liam, Chloe, and Sofia. Ella asserted: \"Benjamin is an altruist and Chloe is an egoist and (D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 750, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"lying\", 7], [\"and\", [\"lying\", 5], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying...
{"split": "train", "index": 11862}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jackson, Matthew, David, Samuel, Abigail, Ella, Daniel, William, and Aurora. Jackson expressed that (Matthew is a devil and Ella is an angel and Willia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 751, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 5], [\"lying\", 7]], [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"lying\", 4], [\"not\", [\"or\", [\"telling-tr...
{"split": "train", "index": 11863}
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, Emily, Harper, Zoey, Michael, Aurora, Daniel, Noah, and Riley. Mason told you that (Emily is a devil and Emily is an angel) or (Noah is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 752, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"not\", [\"telling-truth\", 6]...
{"split": "train", "index": 11864}
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, Ava, Emily, Sofia, Emma, Logan, Evelyn, Michael, and Mia. Owen stated, \"(Ava is a knave) or (if Michael is a knight then Evelyn is a knave) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 753, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 7], [\"lying\", 6]], [\"->\", [\"lying\", 3], [\"lying\", 7]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5], [\"lying...
{"split": "train", "index": 11865}
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, Lucas, Olivia, Aiden, Penelope, Victoria, Evelyn, and Harper. Ava expressed that (Penelope is a devil if and only if Victoria is an angel) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 754, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]], [\"telling-truth\", 5]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\"...
{"split": "train", "index": 11866}
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, Zoey, Jack, Sofia, Joseph, Lily, Daniel, Ethan, and Evelyn. Noah remarked, \"Evelyn is a villain\". Zoey expressed that Ethan is a hero. Jack s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 755, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"telling-truth\", 7], [\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"telli...
{"split": "train", "index": 11867}
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: Chloe, Mia, Olivia, James, Riley, Ella, Mason, Penelope, and Jacob. \"Mason is a sinner,\" Chloe declared. Mia was heard saying, \"Riley is a sinner\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 756, \"statements\": [[\"lying\", 6], [\"lying\", 4], [\"lying\", 1], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 6], [\"lying\", 5], [\"telling-truth\", 5]]], [...
{"split": "train", "index": 11868}
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, Victoria, Emily, Samuel, Daniel, James, William, Lucas, and Ethan. Alexander asserted: \"if (James is a sinner if and only if James is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 757, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]], [\"lying\", 7]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]...
{"split": "train", "index": 11869}
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, Scarlett, Sebastian, Lucas, Lily, Joseph, Michael, Samuel, and Elizabeth. Aria asserted: \"(Samuel is a sinner) if and only if (if Scarlett is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 758, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"lying\", 6], [\"telling-truth\", 4]], [\"or\", [\"lyi...
{"split": "train", "index": 11870}
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: David, Liam, Lucas, Joseph, Grace, Mason, Ella, Logan, and Ethan. David said, \"(Grace is a villain or Lucas is a hero or Mason is a hero) and Lucas ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 759, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"lying\", 2], [\"and\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying...
{"split": "train", "index": 11871}
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, William, Michael, Olivia, Joseph, Oliver, James, Evelyn, and Sebastian. Sophia said that if (if William is a hero then Michael is a villain) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 760, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 6]], [\"lying\", 0], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-...
{"split": "train", "index": 11872}
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: Evelyn, Abigail, Joseph, William, Lily, Luke, Benjamin, Olivia, and Matthew. \"(Benjamin is a saint if and only if Abigail is a sinner) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 761, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3], [\"telling-truth\", 8], [\"lying\", 6]]], [\"tel...
{"split": "train", "index": 11873}
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, Penelope, Aurora, Lucas, Grace, Zoey, Mia, Abigail, and Aria. Riley remarked, \"it is not the case that (Grace is an egoist)\". Accordin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 762, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"lying\", 8], [\"->\", [\"<...
{"split": "train", "index": 11874}
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: Harper, Jack, Lily, Samuel, Jackson, Mason, William, Grace, and Elizabeth. Harper told you that (Lily is a devil and Harper is an angel and William is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 763, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"->\", [\"lying\", 7], [\"telling-truth\"...
{"split": "train", "index": 11875}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Logan, Aurora, Isabella, Daniel, Ethan, Noah, Ava, Ella, and Avery. Logan said that if (Ethan is an altruist or Isabella is an egoist or Logan ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 764, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 7]], [\"and\", [\"lying\", 7], [\"lying\", 5], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\...
{"split": "train", "index": 11876}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: William, Liam, Matthew, Sofia, Chloe, Joseph, Riley, Ella, and Samuel. As William put it, \"Sofia is a hero\". \"it is not the case that (William is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 765, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5], [\"lying\", 6], [\"lying\", 7]]], [\"or\", [\"telling-truth\", 5], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\...
{"split": "train", "index": 11877}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Mason, David, Victoria, Alexander, James, Abigail, Noah, and Sebastian. Samuel asserted: \"(Noah is a villain) and (Mason is a villain and Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 7]], [\"or\", [\"telling-truth\", 8], [\"lying\", 2], [\"telling-truth\", 6], ...
{"split": "train", "index": 11878}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Abigail, Jack, James, Zoey, Emily, Olivia, Lily, Evelyn, and Alexander. \"Emily is a pioneer,\" Abigail claimed. Jack stated, \"(Zoey is a lagg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 767, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1...
{"split": "train", "index": 11879}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ella, Olivia, Alexander, Emily, Evelyn, Harper, Noah, Aiden, and Daniel. Ella said that Noah is a sinner. \"(if Aiden is a sinner then Evelyn is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 768, \"statements\": [[\"lying\", 6], [\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 4]], [\"->\", [\"lying\", 8], [\"lying\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"lying\", 4]]], ...
{"split": "train", "index": 11880}
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: Luke, Avery, Ella, Joseph, Victoria, Matthew, Evelyn, Lily, and William. Luke remarked, \"(if Evelyn is a devil then Matthew is a devil) or Victoria is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 769, \"statements\": [[\"or\", [\"->\", [\"lying\", 6], [\"lying\", 5]], [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lyin...
{"split": "train", "index": 11881}
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: William, Lucas, Daniel, Joseph, Zoey, Jacob, Lily, Matthew, and Penelope. In a statement by William: \"if (Joseph is a laggard) then (Lucas is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 770, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"lyin...
{"split": "train", "index": 11882}
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: Benjamin, Ethan, Aiden, Sofia, Lily, Harper, Mason, Riley, and Olivia. \"Riley is an egoist or (Harper is an egoist or Riley is an egoist or Be...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 771, \"statements\": [[\"or\", [\"lying\", 7], [\"or\", [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 3]], [\"and\", [\"lying\", 8], [\"lying\", 2]], [\"and\",...
{"split": "train", "index": 11883}
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, Sebastian, Liam, Ava, Chloe, Aurora, William, Avery, and Benjamin. Jack said that if (Avery is an angel and Avery is a devil) then (Avery is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 772, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 7]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"...
{"split": "train", "index": 11884}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Noah, Ella, Chloe, Emily, Grace, Abigail, Emma, Daniel, and Liam. Noah stated, \"Grace is an angel or (if Emma is a devil then Noah is an angel) or (Gr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"lying\", 6], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"telling-truth\", 6], [\"not\", [...
{"split": "train", "index": 11885}
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: Benjamin, James, Samuel, Amelia, Riley, Evelyn, Ethan, Liam, and Emily. \"(Riley is a pioneer and Liam is a pioneer) or (if Amelia is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 774, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 5], [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", ...
{"split": "train", "index": 11886}
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: Emily, James, Owen, Grace, Joseph, Jackson, Scarlett, Abigail, and Ella. Emily remarked, \"it is not the case that (Joseph is an altruist)\". J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 775, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"or\", [\"telling-truth\", 7], [\"and\", [\"lying\", ...
{"split": "train", "index": 11887}
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, Chloe, Avery, Sophia, David, Isabella, Harper, Ethan, and Oliver. William said, \"(Ethan is a knave) if and only if (Isabella is a knave and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 776, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 5], [\"telling-truth\", 0], [\"telling-truth\", 8], [\"lying\", 7]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 5]], [\"and...
{"split": "train", "index": 11888}
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, Luke, Emily, Ava, Matthew, Penelope, Noah, Victoria, and Scarlett. Zoey told you that Victoria is a devil. Luke was heard saying, \"(Emily is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 777, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 5]], [\"lying\", 0], [\"lying\", 6], [\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 6], [\"lying\", 7]]],...
{"split": "train", "index": 11889}
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: Luke, Evelyn, Henry, Matthew, Sophia, Chloe, David, Lily, and Harper. Luke was heard saying, \"(David is a knight or David is a knave) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 778, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 6], [\"lying\", 6]], [\"<=>\", [\"lying\", 6], [\"lying\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8]], [\"or\", [\"lying\", 5], [\"telling-truth...
{"split": "train", "index": 11890}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Charlotte, Noah, Victoria, Samuel, Lucas, Jack, Joseph, Aurora, and Liam. \"(Aurora is an egoist) or (Liam is an altruist if and only if Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\...
{"split": "train", "index": 11891}
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: William, Lucas, Lily, Aiden, Logan, Mia, Isabella, Michael, and Victoria. \"Lily is an egoist\" - William. Lucas told you that if (Mia is an al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 780, \"statements\": [[\"lying\", 2], [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8], [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 5], [\"lying\", 5]]], [\"and\", [\"...
{"split": "train", "index": 11892}
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, Henry, Samuel, Isabella, Sebastian, Benjamin, William, Lily, and Amelia. Sophia stated, \"(William is a laggard or Henry is a pioneer) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 781, \"statements\": [[\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"not\", [\"telli...
{"split": "train", "index": 11893}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ethan, Lily, Benjamin, Aiden, Elizabeth, Riley, Daniel, Isabella, and James. According to Ethan, \"if (Aiden is a saint if and only if Lily is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 782, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"not\", [\"lying\", 8]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]], [\"<=>\", [\"lying\"...
{"split": "train", "index": 11894}
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: Emma, Isabella, Henry, Emily, Aiden, Scarlett, Mason, Lily, and Liam. According to Emma, \"if (Isabella is an angel and Mason is a devil and Emily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 783, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 6], [\"lying\", 3]], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 5],...
{"split": "train", "index": 11895}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Riley, Lily, Zoey, Amelia, Benjamin, Jackson, Alexander, and Daniel. Oliver told you that (Daniel is a laggard or Zoey is a laggard or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 784, \"statements\": [[\"and\", [\"or\", [\"lying\", 8], [\"lying\", 3], [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"->\", [\"lying\", 7], [\"lying\", 5]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 8...
{"split": "train", "index": 11896}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ella, Alexander, Aria, Isabella, Riley, Lucas, Emma, Emily, and Penelope. Ella was heard saying, \"(Alexander is a saint and Emma is a sinner and Ale...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 785, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 6], [\"lying\", 1], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 1], [\"lying\", 6], [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"...
{"split": "train", "index": 11897}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mia, Liam, Isabella, Logan, Michael, Emily, Victoria, Matthew, and Ethan. \"(Logan is a knight or Emily is a knight or Matthew is a knight or Victori...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 786, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5], [\"telling-truth\", 7], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 1]], [\"and\", [\"telling-truth\", 6], [\"lying\", ...
{"split": "train", "index": 11898}
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: Harper, Avery, Isabella, Aurora, Sophia, Grace, Jackson, Evelyn, and James. As Harper put it, \"(if Avery is a sage then James is a sage) if and only if (E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 6], [\"telling-truth\", 0]], ...
{"split": "train", "index": 11899}