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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, Elizabeth, Ava, Victoria, Charlotte, Jackson, Penelope, Jacob, and Riley. Mason was heard saying, \"Jacob is a knave or (if (Jackson is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 366, \"statements\": [[\"or\", [\"lying\", 7], [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5]], [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"->\", [\"lying\", 7...
{"split": "train", "index": 13700}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Scarlett, Ella, Sofia, Lily, James, Henry, Charlotte, Matthew, and Aria. Scarlett said, \"Charlotte is a sage.\" Ella stated, \"(if (if Sofia is a sage the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 367, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 4], ...
{"split": "train", "index": 13701}
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: Samuel, Henry, Jackson, Isabella, Avery, Mason, Ava, Penelope, and Sofia. Samuel told you that if Samuel is a knight then (it is not the case that (S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 368, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 0]], [\"->\", [\"lying\", 6], [\"lying\", 2]]], [\"or\", [\"or\", ...
{"split": "train", "index": 13702}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Elizabeth, Owen, Emma, David, Harper, Daniel, Aurora, Charlotte, and Lucas. Elizabeth said, \"it is not the case that (Lucas is an angel if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 369, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"or\", [\"lying\", 6], [\"telling-truth\", 6]]]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 4], [\"ly...
{"split": "train", "index": 13703}
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, Owen, Evelyn, Liam, Sofia, Amelia, Grace, Benjamin, and Daniel. Riley expressed that ((Owen is a pioneer and Amelia is a pioneer) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 370, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"lying\",...
{"split": "train", "index": 13704}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Harper, Mason, Riley, Daniel, Alexander, Ethan, Victoria, Ava, and Zoey. Harper said that Mason is a sinner. Mason asserted: \"((Victoria is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 371, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"or\", [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 3]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-tr...
{"split": "train", "index": 13705}
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: Chloe, Samuel, Riley, Zoey, Ella, Grace, Avery, Mia, and Aurora. \"Chloe is a hero,\" Chloe declared. Samuel said, \"if (it is not the case that (Chl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 372, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 6]], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 1], [\...
{"split": "train", "index": 13706}
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: Olivia, Owen, Grace, Mia, Matthew, Elizabeth, Zoey, Abigail, and Ethan. Olivia expressed that if ((Owen is a hero and Matthew is a villain) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 373, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 4]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]...
{"split": "train", "index": 13707}
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: Zoey, Matthew, Grace, Jacob, Olivia, Oliver, Ethan, Ella, and Lucas. Zoey expressed that it is not the case that ((if Jacob is an altruist then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 374, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]]]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4...
{"split": "train", "index": 13708}
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: Charlotte, Mia, Oliver, Scarlett, Penelope, Alexander, Jack, Jackson, and Ella. \"it is not the case that ((Scarlett is a hero or Jack is a hero) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 375, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"and\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"...
{"split": "train", "index": 13709}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Avery, Aria, Liam, Evelyn, Daniel, Sofia, Benjamin, Amelia, and Mason. \"if (Evelyn is an angel and (if Benjamin is an angel then Mason is a devil)) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 376, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 5]], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"not\", [...
{"split": "train", "index": 13710}
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: Lucas, Aiden, Riley, Ethan, Emma, Daniel, Victoria, Joseph, and Avery. According to Lucas, \"((Daniel is a fool if and only if Joseph is a fool) or (Aiden ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 377, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"telling-truth\", 3]], [\"telling-truth\", 6], [\"->\", [\"not\", [\"lying\", 0]...
{"split": "train", "index": 13711}
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, Olivia, Aurora, Jackson, Amelia, Alexander, Michael, Daniel, and Zoey. \"it is not the case that (if (Alexander is a hero and Daniel is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 378, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 7]], [\"->\", [\"telling-truth\", 0], [\"lying\", 5]]]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\...
{"split": "train", "index": 13712}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Liam, Sebastian, Alexander, Riley, Luke, Olivia, Henry, and Harper. As Jack put it, \"it is not the case that (it is not the case that (O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 379, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]]]], [\"->\", [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-tru...
{"split": "train", "index": 13713}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Logan, Alexander, Isabella, Ava, Liam, Sebastian, Elizabeth, Grace, and Ethan. In a statement by Logan: \"(it is not the case that (Ava is a sage or Sebast...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 380, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"<=>\", [\"telling-truth\...
{"split": "train", "index": 13714}
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, Penelope, Joseph, Olivia, William, Samuel, Jacob, Amelia, and Jackson. \"(it is not the case that (Jackson is a laggard if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 381, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5]], [\...
{"split": "train", "index": 13715}
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: Penelope, Chloe, Amelia, Aiden, Jack, Evelyn, Scarlett, Lily, and Zoey. According to Penelope, \"Aiden is a hero\". Chloe stated, \"Jack is a hero\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 382, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 4], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"or\",...
{"split": "train", "index": 13716}
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: Charlotte, Riley, Victoria, Isabella, Penelope, Zoey, James, William, and Aiden. Charlotte remarked, \"((if James is a devil then Aiden is an angel) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 383, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 8]], [\"not\", [\"lying\", 5]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]...
{"split": "train", "index": 13717}
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, Michael, Amelia, Lucas, Ethan, Emily, Aria, Penelope, and Zoey. Avery said, \"if ((Zoey is a laggard or Amelia is a pioneer) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 384, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"or\...
{"split": "train", "index": 13718}
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: Amelia, Michael, Penelope, William, Scarlett, Sofia, Henry, Elizabeth, and Lucas. Amelia remarked, \"((Amelia is a knight or Michael is a knave) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 385, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 1]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"lying\", 5]]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [...
{"split": "train", "index": 13719}
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: Scarlett, Henry, Mia, Abigail, Ella, Jackson, Victoria, Chloe, and Benjamin. Scarlett stated, \"Benjamin is an altruist\". According to Henry, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 386, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"->\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", ...
{"split": "train", "index": 13720}
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, James, Matthew, Charlotte, Lucas, Abigail, Owen, Alexander, and Michael. Victoria expressed that it is not the case that (if (if Abigail is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 387, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"t...
{"split": "train", "index": 13721}
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, Ava, Sofia, Luke, Alexander, Mason, Jackson, Emma, and Aria. Abigail commented, \"(if (Luke is a sinner or Mason is a saint) then (Aria is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 388, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5]], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 7]]...
{"split": "train", "index": 13722}
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, Evelyn, Sophia, Harper, Alexander, Lucas, Olivia, David, and William. Penelope said that (it is not the case that (Sophia is a fool or Alexander ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 389, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 6]]]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying...
{"split": "train", "index": 13723}
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: James, Lily, Logan, Sebastian, Jack, Riley, Scarlett, Mia, and Penelope. James commented, \"it is not the case that (it is not the case that (Jack is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 390, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6]]]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"or\", [\"lying\", 2], [\"telling-truth\", 6]]]], [\"...
{"split": "train", "index": 13724}
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, Aiden, Harper, Sophia, Sofia, Olivia, Daniel, Oliver, and Noah. In a statement by Aria: \"(it is not the case that (Aria is an egoist)) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 391, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"lying\", 3]], [\"->\", [\"lying\", 0], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 8], [\"telling-truth\", 1]]]], [\"lying\", 3], [\"...
{"split": "train", "index": 13725}
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, William, Penelope, Matthew, Liam, Amelia, Zoey, Jacob, and Scarlett. Mason noted, \"(if Matthew is a knave then (Matthew is a knave and Penelo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 392, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]]], [\"t...
{"split": "train", "index": 13726}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Oliver, Ethan, Jack, Jacob, Amelia, Michael, Jackson, Alexander, and Liam. Oliver said that (Alexander is an egoist and (Alexander is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 393, \"statements\": [[\"and\", [\"and\", [\"lying\", 7], [\"or\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"or\", [\"and\", [\"or\", [\"lying\", 0], [\"telling...
{"split": "train", "index": 13727}
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: Charlotte, Sebastian, Emma, Lucas, Olivia, Evelyn, Elizabeth, Ethan, and James. As Charlotte put it, \"if (James is a villain and (if Evelyn is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 394, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"<=>\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"and\", [\"and\", [\"...
{"split": "train", "index": 13728}
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: Noah, Emily, Scarlett, Aria, Victoria, Benjamin, Amelia, Lily, and Sebastian. Noah said, \"(if (Sebastian is an altruist or Victoria is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 395, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 4]], [\"lying\", 3]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"and\", [\...
{"split": "train", "index": 13729}
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, David, Daniel, Riley, Samuel, Noah, Benjamin, Aria, and Scarlett. Mason said, \"((Samuel is a sage or Daniel is a sage) and (Aria is a fool)) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 396, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 6]], [\"and\", [\"telling-truth\",...
{"split": "train", "index": 13730}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Alexander, Noah, Ethan, Ella, Logan, Benjamin, Jackson, Luke, and Aurora. Alexander asserted: \"Jackson is a fool\". Noah commented, \"Luke is a fool\". In...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 397, \"statements\": [[\"lying\", 6], [\"lying\", 7], [\"not\", [\"telling-truth\", 7]], [\"and\", [\"and\", [\"not\", [\"lying\", 7]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 7]], [\"o...
{"split": "train", "index": 13731}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Liam, Samuel, Sophia, Michael, David, Ella, Riley, Aria, and Olivia. According to Liam, \"((if Ella is a laggard then Riley is a laggard) and O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 398, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 6]], [\"lying\", 8]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"and\", [\...
{"split": "train", "index": 13732}
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, William, David, James, Noah, Evelyn, Abigail, Victoria, and Scarlett. Owen said, \"(it is not the case that (Scarlett is a fool or Evelyn is a sage))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 399, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"not\", [...
{"split": "train", "index": 13733}
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, Chloe, Alexander, Harper, Benjamin, Aurora, Mia, Abigail, and Aiden. As Ella put it, \"(it is not the case that (Aurora is a saint if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 400, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 1], [\"lying\", 5]]]], [\"->\", [\"->\", [\"and\", [\"lyi...
{"split": "train", "index": 13734}
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, Evelyn, Olivia, Aurora, Ava, Chloe, Daniel, Penelope, and Alexander. Avery was heard saying, \"(Daniel is a laggard and (Ava is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 401, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 6], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]]]], [\"telling-truth\", 4], [\"and\", ...
{"split": "train", "index": 13735}
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: Mia, Riley, Emily, Ava, Mason, Amelia, Sofia, Elizabeth, and Samuel. In a statement by Mia: \"Emily is an angel\". Riley was heard saying, \"Ava is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 402, \"statements\": [[\"not\", [\"lying\", 2]], [\"telling-truth\", 3], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"t...
{"split": "train", "index": 13736}
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, Mason, Harper, Abigail, Jack, Emily, Jacob, Penelope, and Ava. Lily was heard saying, \"Abigail is a hero or (if Abigail is a hero then Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 403, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 5], [\"telling-truth...
{"split": "train", "index": 13737}
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, Liam, Emily, David, Aiden, Zoey, Jackson, Luke, and Aurora. Michael noted, \"it is not the case that ((Jackson is a knave and Emily is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 404, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]]]], [\"and\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", ...
{"split": "train", "index": 13738}
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, Daniel, Scarlett, Olivia, Sofia, Logan, Sophia, Grace, and Jackson. Chloe said that (Logan is a saint or (Sophia is a saint and Logan is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 405, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 5]], [\"or\", [\"lying\", 5], [\"lying\", 4]]]], [\"a...
{"split": "train", "index": 13739}
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: Penelope, Alexander, Sophia, Aiden, Jackson, Oliver, Daniel, Aurora, and Michael. Penelope commented, \"(Aurora is a hero) if and only if (if (Daniel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 406, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 7]], [\"->\", [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 7], [\"lying\", 6]]]], [\"<=>\", [\"lying\", 4], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4]], ...
{"split": "train", "index": 13740}
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: Mason, Chloe, Evelyn, Harper, Aria, Noah, Charlotte, Daniel, and Olivia. Mason said, \"if ((Aria is a villain) and (Aria is a villain and Aria is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 407, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 3]], [\"not\", [\"telling-truth\", 7]]]], [\...
{"split": "train", "index": 13741}
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: Benjamin, Liam, Alexander, Elizabeth, Amelia, Joseph, Henry, Riley, and Abigail. Benjamin expressed that ((Alexander is an angel if and only if Elizabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 408, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 8]], [\"telling-truth\", 2]]],...
{"split": "train", "index": 13742}
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: Chloe, Oliver, Matthew, Sophia, Avery, Benjamin, Victoria, Aiden, and Sofia. According to Chloe, \"Matthew is a hero\". Oliver said that Sofia is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 409, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 8], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 5]]]], [\"->\", [\"not\", [\"->\", [\"telling-tr...
{"split": "train", "index": 13743}
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: Scarlett, Sophia, Henry, Sofia, Jacob, Evelyn, Aurora, David, and Emily. In a statement by Scarlett: \"it is not the case that (if (Evelyn is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 410, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 5]], [\"lying\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"tell...
{"split": "train", "index": 13744}
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, Joseph, Owen, Alexander, William, Emily, Ella, Sebastian, and Scarlett. Jackson noted, \"((if Alexander is a knave then William is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 411, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2...
{"split": "train", "index": 13745}
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, Mason, Abigail, Scarlett, Jackson, Liam, Mia, Zoey, and Charlotte. \"(it is not the case that (Liam is a fool or Abigail is a fool)) or (it is not t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 412, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 5], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\",...
{"split": "train", "index": 13746}
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: Daniel, Luke, Ella, Jacob, Oliver, Olivia, Scarlett, Riley, and Samuel. \"Luke is a knave,\" Daniel mentioned. Luke noted, \"((Ella is a knight) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 413, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 8], [\"lying\", 5]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"or\", [\"lying\", 3], [\"telling-t...
{"split": "train", "index": 13747}
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: Ava, Owen, Lucas, Olivia, Ella, Zoey, Riley, Henry, and Ethan. Ava noted, \"it is not the case that ((if Henry is a villain then Ava is a hero) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 414, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 7], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"not\", [\"or\", [\"lying\", 7], [\...
{"split": "train", "index": 13748}
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, Evelyn, Amelia, Jack, Sebastian, Ava, Victoria, Michael, and Henry. \"Victoria is an angel,\" Noah claimed. \"it is not the case that (it is not ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 415, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"not\", [\"and\", [\"lying\", 7], [\"lying\", 3]]]], [\"lying\", 4], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"ly...
{"split": "train", "index": 13749}
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, Abigail, William, Matthew, Joseph, Amelia, Emma, Jackson, and Riley. Noah noted, \"if Amelia is a villain then Joseph is a villain\". According...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 416, \"statements\": [[\"->\", [\"lying\", 5], [\"lying\", 4]], [\"<=>\", [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 5]]], [\"->\", [\"telling-truth\", 5], [\"not\", [\"telling-tr...
{"split": "train", "index": 13750}
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: Charlotte, Ella, Grace, Jacob, Elizabeth, Aiden, Victoria, David, and Aria. \"((if Victoria is a laggard then Aiden is a pioneer) or (Grace is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 417, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 5]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 1]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-trut...
{"split": "train", "index": 13751}
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: Olivia, Mia, Luke, Alexander, Riley, Aiden, Sebastian, Amelia, and Lily. Olivia noted, \"Amelia is a devil and ((if Aiden is a devil then Aiden is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 418, \"statements\": [[\"and\", [\"lying\", 7], [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 6], [\"lying\", 8]]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"lying...
{"split": "train", "index": 13752}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lily, Jackson, Olivia, Jacob, Ella, Emma, Mason, Jack, and Oliver. In Lily's words: \"Jackson is an egoist\". Jackson was heard saying, \"(Lily...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 419, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 6]]]], [\"or\", [\"not\", [\"->\", [\"...
{"split": "train", "index": 13753}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Riley, Jack, Michael, Noah, Owen, Scarlett, Grace, Matthew, and Henry. \"if ((Michael is a sage or Matthew is a sage) or (Matthew is a sage)) then ((Scarle...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 420, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 1]]], [\"->\", [\"not\", [\"not\", [\"tellin...
{"split": "train", "index": 13754}
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: Michael, Charlotte, Emily, Isabella, Riley, Victoria, Luke, Olivia, and Avery. Michael noted, \"it is not the case that ((Charlotte is a sinner or Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 421, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 6]], [\"or\", [\"telling-truth\", 8], [\"lying\", 6]]]], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]], [\"<=>\", [\"lying\", 7], [\...
{"split": "train", "index": 13755}
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: Michael, Emma, Abigail, Zoey, Alexander, Chloe, Ava, Mia, and Emily. Michael said, \"if Ava is a sinner then ((Zoey is a sinner if and only if Michae...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 422, \"statements\": [[\"->\", [\"lying\", 6], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]]]], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"lyi...
{"split": "train", "index": 13756}
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, Scarlett, Henry, Riley, Sophia, Alexander, Emma, David, and Evelyn. \"Henry is a pioneer,\" William claimed. In a statement by Scarlet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 423, \"statements\": [[\"not\", [\"lying\", 2]], [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 8]]]], [\"or\...
{"split": "train", "index": 13757}
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: Aria, Riley, Aiden, Olivia, Aurora, Avery, Alexander, Luke, and Ella. \"if (if Avery is a pioneer then (Aiden is a laggard if and only if Auror...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 424, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]]]], [\"lying\", 0], [\"lying\", 5], [\"and\", [\"ly...
{"split": "train", "index": 13758}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Logan, Oliver, Zoey, Emma, Mason, Evelyn, Michael, Sofia, and Aurora. Logan said that ((if Sofia is a fool then Aurora is a fool) or (Zoey is a sage and Ol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 425, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 8]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"lying\", 6]], [\"lying\", 2], [\"and\", [\"telling-truth\", 4], [\"or\", [\"->\", [\"lyin...
{"split": "train", "index": 13759}
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: Harper, Liam, Joseph, Emma, Sofia, David, James, Aurora, and Abigail. According to Harper, \"(Emma is a hero if and only if (Liam is a hero or Sofia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 5]], [\"or\", [\"lying\", 3], [\"lying\", 7]]]], [\"te...
{"split": "train", "index": 13760}
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: Sophia, Aiden, Lucas, Scarlett, James, Avery, Oliver, Jackson, and Riley. Sophia commented, \"Riley is an altruist\". In a statement by Aiden: ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 427, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"<=>\", [\"lying\", 8], [\"<=>\", [\"lying\", 5], [\"telling-tru...
{"split": "train", "index": 13761}
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, Emma, Grace, Sophia, Ella, Isabella, Avery, Mason, and James. Scarlett noted, \"if ((Ella is a sinner) and Ella is a sinner) then ((Emma is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 428, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]]]], [\"->\", [\"not\", [\"lying\", 7]],...
{"split": "train", "index": 13762}
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: Avery, Jack, Grace, Elizabeth, Noah, Liam, Jacob, Benjamin, and Olivia. Avery noted, \"((Elizabeth is a knave) and Avery is a knight) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 429, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 5]]]], [\"->\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\"...
{"split": "train", "index": 13763}
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, Oliver, Ethan, Aria, Lily, Liam, James, Sebastian, and Aurora. Luke said that (if James is a knave then (if Aurora is a knight then Ethan is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 430, \"statements\": [[\"and\", [\"->\", [\"lying\", 6], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"telling-truth\", 5]], [\"->\", [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"->\", [\"lyin...
{"split": "train", "index": 13764}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Riley, Aiden, Alexander, David, Amelia, Jack, Harper, Zoey, and Jacob. \"Aiden is a sage if and only if (if (if Amelia is a fool then Zoey is a fool) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 431, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 7]], [\"or\", [\"lying\", 7], [\"lying\", 4]]]], [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"and\", [\"lying\", 0], [\"tel...
{"split": "train", "index": 13765}
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, Emily, Noah, Scarlett, Jacob, Victoria, James, Ava, and Alexander. Riley remarked, \"Ava is an altruist if and only if ((if Emily is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 432, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 8]], [\"not\", [\"lying\", 3]]]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"not\", [\"not\", [\"telling-truth...
{"split": "train", "index": 13766}
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: Penelope, Liam, Michael, Zoey, Daniel, Ava, Victoria, Sebastian, and Jacob. According to Penelope, \"(Ava is a villain) if and only if (if (Sebastian...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 433, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 8]], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 2], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-tr...
{"split": "train", "index": 13767}
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, Henry, Liam, Riley, Aria, Lily, Penelope, Olivia, and Joseph. Emily remarked, \"((Olivia is a knight and Aria is a knight) and Aria is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 434, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 4], [\"lyi...
{"split": "train", "index": 13768}
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, Emily, Sofia, Abigail, Matthew, Penelope, Oliver, Ethan, and Riley. In Harper's words: \"Matthew is an altruist\". Emily expressed that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 435, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"o...
{"split": "train", "index": 13769}
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, Henry, Olivia, Daniel, Harper, Lucas, Elizabeth, Jackson, and Owen. \"it is not the case that ((Daniel is a sinner) and (Jackson is a sinner)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 436, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 7]]]], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 3]], [\"not\", [\"lying\", 6]]], [\"or\", [\"an...
{"split": "train", "index": 13770}
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, Chloe, Ethan, Olivia, Daniel, Alexander, Avery, Scarlett, and David. Aria remarked, \"((if Olivia is a sinner then Ethan is a sinner) or (Avery...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-tru...
{"split": "train", "index": 13771}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Riley, Sebastian, Chloe, Emma, Isabella, Aria, Aurora, Ella, and Evelyn. \"Isabella is an angel if and only if (Isabella is a devil and (Chloe is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 438, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"telling-truth\", 7]], [\"->\", [\"...
{"split": "train", "index": 13772}
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: Lucas, Avery, Liam, Michael, Jack, Elizabeth, Matthew, Aiden, and Grace. Lucas remarked, \"((Matthew is a fool and Liam is a fool) if and only if (Elizabet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 439, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 2]], [\"not\", [\"lying\", 5]]], [\"and\", [\"lying\", 4], [\"and\", [\"lying\", 5], [\"lying\", 3]]]], [\"not\", [\"not\", [\"->\", [\"telling-tr...
{"split": "train", "index": 13773}
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, Penelope, Matthew, Mason, Amelia, Noah, Evelyn, Mia, and Emily. Henry remarked, \"(if Matthew is a devil then (Mason is an angel and Penelope is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 440, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\",...
{"split": "train", "index": 13774}
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, Grace, Mia, James, Abigail, Benjamin, Jack, Oliver, and Aurora. \"((if Oliver is a knight then Grace is a knave) if and only if (if Grace is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 441, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"lying\", 5]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\...
{"split": "train", "index": 13775}
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: Matthew, Lucas, Victoria, Abigail, Emily, Luke, Emma, Sebastian, and Mia. \"Lucas is a knight\" - Matthew. Lucas stated, \"(if (Emily is a knave if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 442, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 8]]...
{"split": "train", "index": 13776}
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, James, Harper, Alexander, Ella, Jacob, Aiden, Scarlett, and Isabella. Abigail said that if (Jacob is a pioneer if and only if (Ella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 443, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 1]]]], [\"lying\", 2], [\"and\", [\"and\", [\"->\", [...
{"split": "train", "index": 13777}
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, Alexander, Daniel, Charlotte, Harper, Logan, Mia, Elizabeth, and Olivia. \"Logan is a fool,\" Ella declared. Alexander stated, \"((Charlotte is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 444, \"statements\": [[\"lying\", 5], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]...
{"split": "train", "index": 13778}
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: James, Charlotte, Sebastian, Elizabeth, Chloe, Harper, Aiden, Daniel, and David. James expressed that (if (Harper is a sinner or Sebastian is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 445, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 6]], [\"->\", [\"lying\", 4], [\"lying\", 5]]]], [\"or\", [\"not\", ...
{"split": "train", "index": 13779}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Joseph, Liam, Logan, Abigail, Luke, Matthew, Jack, Isabella, and William. Joseph told you that Jack is a sinner and (if (William is a sinner) then Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 446, \"statements\": [[\"and\", [\"lying\", 6], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 6]]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"telling-truth\", 3]], [\"and\", [\"<=...
{"split": "train", "index": 13780}
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, Mia, Liam, Noah, Avery, Elizabeth, David, James, and Lily. As Matthew put it, \"Avery is a villain\". \"(if (Matthew is a villain or James i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 447, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 7]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 7]], [\"->...
{"split": "train", "index": 13781}
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: Scarlett, Evelyn, Chloe, Daniel, Sebastian, David, Zoey, Sofia, and Owen. Scarlett commented, \"((Evelyn is an angel if and only if Sofia is an angel) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5]], [\"not\", [\"te...
{"split": "train", "index": 13782}
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, Zoey, James, Ethan, Benjamin, Aiden, Jack, Logan, and Jacob. In Penelope's words: \"it is not the case that (Ethan is an altruist and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 449, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 5]]]], [\"->\", [\"telling-truth\", 4], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"te...
{"split": "train", "index": 13783}
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: Alexander, Jack, Benjamin, Penelope, Scarlett, Samuel, Sebastian, Jacob, and Liam. Alexander asserted: \"(Scarlett is a knight and (if Sebastian is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 450, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"->\", [\"lying\", 6], [\"lying\", 3]]], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 8]], [\"->\", [\"->\", [\"and\", [\"lying\", 0], [\"telling-tr...
{"split": "train", "index": 13784}
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: Mia, Emma, Amelia, Matthew, Grace, Charlotte, Chloe, Ethan, and Evelyn. Mia told you that it is not the case that (if (if Emma is a sinner then Chloe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 451, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 6]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"o...
{"split": "train", "index": 13785}
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, Sebastian, Sofia, Samuel, Matthew, Aria, William, Isabella, and Charlotte. Aurora was heard saying, \"(Samuel is a sage and Charlotte is a fool) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 452, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 8]], [\"lying\", 3]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 3]], [\"and\", [\"lying\", 6], [\"lying\", 3]]]], [\"<=>\", [...
{"split": "train", "index": 13786}
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: Ava, Victoria, Ella, Aiden, Grace, Sophia, James, Abigail, and Aurora. \"Sophia is a hero,\" Ava declared. As Victoria put it, \"if (it is not the ca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 453, \"statements\": [[\"telling-truth\", 5], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 7]], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"telling-truth\", 1...
{"split": "train", "index": 13787}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Alexander, Jackson, Henry, Daniel, Ella, Isabella, Emily, James, and Aiden. Alexander said, \"((Emily is a fool if and only if James is a sage) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 454, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"telling-truth\", 0]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"->\", ...
{"split": "train", "index": 13788}
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: Daniel, Sophia, Matthew, Isabella, Joseph, Ella, Avery, Oliver, and Mia. In a statement by Daniel: \"(it is not the case that (Sophia is an angel and E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 455, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]]]], [\"not\", [...
{"split": "train", "index": 13789}
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: Henry, Joseph, Aiden, Alexander, Mia, Amelia, Victoria, Aria, and Sophia. As Henry put it, \"((Joseph is a hero or Amelia is a hero) if and only if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 456, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 4]], [\"not\", [\"l...
{"split": "train", "index": 13790}
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: Matthew, Lily, Scarlett, Aria, Penelope, Ava, Liam, Samuel, and Harper. As Matthew put it, \"if Lily is a knave then (if (Lily is a knave or Samuel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 457, \"statements\": [[\"->\", [\"lying\", 1], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 7]], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"->\", [\"lying\", 6], [\"lying\", 4]]], [\"lyi...
{"split": "train", "index": 13791}
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: Benjamin, Charlotte, David, Mia, Sofia, Chloe, Noah, Jack, and Logan. Benjamin noted, \"Mia is a sinner\". Charlotte commented, \"Mia is a saint\". D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 458, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"or\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 5]], [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"lying\", 5]], [\"and\", [\"telling-trut...
{"split": "train", "index": 13792}
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: Riley, Sophia, Lily, James, Sebastian, Lucas, Mia, Sofia, and Liam. Riley said, \"if Sebastian is a knight then ((James is a knight or Lily is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 7]...
{"split": "train", "index": 13793}
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, Charlotte, William, Grace, Joseph, Michael, Jacob, Alexander, and Scarlett. As Samuel put it, \"it is not the case that (it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 460, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7]]]], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]], [\"and\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"lying\"...
{"split": "train", "index": 13794}
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: Ethan, Abigail, Scarlett, Emma, Jackson, Aria, Daniel, Jacob, and Aiden. In Ethan's words: \"Jacob is a laggard\". Abigail noted, \"((if Daniel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 461, \"statements\": [[\"lying\", 7], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"not\", [\"lying\", 7]]], [\"or\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]]], [\"<=>\", [\"...
{"split": "train", "index": 13795}
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: Chloe, Harper, Ava, Mason, Benjamin, Scarlett, Owen, Aiden, and Zoey. As Chloe put it, \"it is not the case that ((Scarlett is a knave if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 462, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"telling-truth\"...
{"split": "train", "index": 13796}
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, Penelope, Charlotte, Jackson, Luke, Owen, Evelyn, Benjamin, and Michael. As Ava put it, \"Michael is a knave\". In Penelope's words: \"(if (if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 463, \"statements\": [[\"lying\", 8], [\"<=>\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 7]], [\"->\", [\"lying\", 5], [\"lying\", 0]]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 8]...
{"split": "train", "index": 13797}
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, Victoria, Benjamin, Ella, Abigail, James, David, Avery, and Oliver. Noah asserted: \"Avery is a devil\". Victoria stated, \"if (it is not the cas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 464, \"statements\": [[\"lying\", 7], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 8], [\"lying\", 7]]]], [\"te...
{"split": "train", "index": 13798}
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, Oliver, Ethan, Amelia, David, Sofia, Elizabeth, Abigail, and Lucas. \"if (if (Sofia is a knave or Oliver is a knight) then (Lucas is a knave i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 465, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"lying\", 5]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7...
{"split": "train", "index": 13799}